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	<title>Dissecting Zoom Microscopes</title>
	<link>http://www.dissectingzoommicroscopes.com</link>
	<description>All about Dissecting Zoom Microscopes</description>
	<pubDate>Thu, 07 Aug 2008 02:46:29 +0000</pubDate>
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		<title>DIFFRACTION AND SPATIAL RESOLUTION</title>
		<link>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/diffraction-and-spatial-resolution/</link>
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		<pubDate>Fri, 16 May 2008 06:02:40 +0000</pubDate>
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		<category><![CDATA[Dissecting Zoom Microscopes]]></category>

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OVERVIEW
In this chapter we examine the role of diffraction in determining spatial resolution and
image contrast in the light microscope. In the previous chapter we emphasized that
Abbe’s theory of image formation in the light microscope is based on three fundamental
actions: diffraction of light by the specimen, collection of diffracted rays by the
objective, and interference of diffracted [...]]]></description>
			<content:encoded><![CDATA[<p class="MsoNormal"><strong><span style="font-size: 22pt; font-family: Helvetica-Bold; color: black" lang="EN-US"><o:p></o:p></span></strong></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US">OVERVIEW<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">In this chapter we examine the role of diffraction in determining spatial resolution and<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">image contrast in the light microscope. In the previous chapter we emphasized that<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Abbe’s theory of image formation in the light microscope is based on three fundamental<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">actions: diffraction of light by the specimen, collection of diffracted rays by the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">objective, and interference of diffracted and nondiffracted rays in the image plane. The<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">key element in the microscope’s imaging system is the objective lens, which determines<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the precision with which these actions are effected. As an example, examine the remarkable<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">resolution and contrast in the image of the diatom, </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">Pleurosigma, </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">made with an<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">apochromatic objective designed by Abbe and introduced by Carl Zeiss over 100 years<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">ago (Fig. 6-1). To understand how such high-resolution images are obtained, we examine<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">an important parameter of the objective, the numerical aperture, the angle over<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">which the objective can collect diffracted rays from the specimen and the key parameter<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">determining spatial resolution. We also investigate the effect of numerical aperture on<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">image contrast. In examining the requirements for optimizing resolution and contrast,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">we make an unsettling discovery: It is impossible to obtain maximal spatial resolution<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">and optimal contrast using a single microscope setting. A compromise is required that<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">forces us to give up some spatial resolution in return for an acceptable level of contrast.<o:p></o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US">NUMERICAL APERTURE<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Implicit in the Overview is an understanding that the objective aperture must capture<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">some of the diffracted rays from the specimen in order to form an image, and that lenses<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">that can capture light over a wide angle should give better resolution than an objective<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">that collects light over a narrower angle. In the light microscope, the angular aperture is<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">described in terms of the </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">numerical aperture </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">(NA) as<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">NA </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">n </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">sin</span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">,<o:p></o:p></span></em></p>
<p class="MsoNormal"><strong><span style="font-size: 10.5pt; font-family: Helvetica-Bold; color: black" lang="EN-US">85<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">where </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is the half angle of the cone of specimen light accepted by the objective lens and<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">n </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is the refractive index of the medium between the lens and the specimen. For dry<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">lenses used in air, </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">n </span></em><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">1; for oil immersion objectives, </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">n </span></em><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">1.515.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">The diffraction angles capable of being accepted by dry and oil immersion objective<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">lenses are compared in Figure 6-2. By increasing the refractive index of the medium<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">between the lens and coverslip, the angle of diffracted rays collected by the objective is<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">increased. Because immersion oil has the same refractive index as the glass coverslip<o:p></o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 10pt; font-family: Helvetica-Bold; color: black" lang="EN-US">86 </span></strong><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">DIFFRACTION AND SPATIAL RESOLUTION<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Figure 6-1<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Resolution of the pores in a diatom shell with an apochromatic objective lens. Joseph Gall<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">described these historic photographs of the diatom </span><em><span style="font-size: 8.5pt; font-family: Helvetica-Oblique; color: black" lang="EN-US">Pleurosigma </span></em><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">prepared over 100 years<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">ago using one of Abbe’s lenses (</span><em><span style="font-size: 8.5pt; font-family: Helvetica-Oblique; color: black" lang="EN-US">Molecular Biology of the Cell, </span></em><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">vol. 4, no. 10, 1993). “The<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">photographs . . . are taken from a Zeiss catalog published in 1888 in which Abbe’s<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">apochromatic objectives were advertised. Both figures show the silica shell of the diatom<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 8.5pt; font-family: Helvetica-Oblique; color: black" lang="EN-US">Pleurosigma angulatum. </span></em><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Because of the regular patterns of minute holes in their shells,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">diatoms have long been favorite objects for testing the resolution of microscope objectives.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">The top figure shows an entire shell at 500</span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">, a magnification beyond which many 19thcentury<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">objectives would show little additional detail. The bottom figure, reproduced here and<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">in the original catalog at a remarkable 4900</span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">, was made with an apochromatic oil<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">immersion objective of 2.0 mm focal length and a numerical aperture of 1.3. The center-tocenter<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">spacing of the holes in the shell is 0.65 </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">m, and the diameter of the holes themselves<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">is about 0.40 </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">m. Almost certainly this objective resolved down to its theoretical limit of 0.26<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">m in green light.”<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">(1.515), refraction of specimen rays at the coverslip-air interface is eliminated, the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">effective half angle is increased, and resolution is improved. The reader can refer to<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Pluta (1988) for more details on this important phenomenon.<o:p></o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US">SPATIAL RESOLUTION<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">For point objects that are self-luminous (fluorescence microscopy, dark-field microscopy),<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">or for nonluminous points that are examined by bright-field microscopy in<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">transmitted light where the condenser NA is </span><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">? </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the objective NA, the </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">resolving power </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">of<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the microscope is defined as<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">d </span></em><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">0.61</span><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">ë</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">/NA,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">where </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">d </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is the minimum resolved distance in </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">m, </span><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">ë </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is the wavelength in </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">m, and NA is<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the numerical aperture of the objective lens.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">In the case of bright-field microscopy, where the condenser NA </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">objective NA<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">(the condenser aperture is closed down and/or an oil immersion condenser is used in the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">absence of oil), the resolution is given as<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">d </span></em><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">=<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">+<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">1.22<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">ë<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">condenser NA objective NA<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">SPATIAL RESOLUTION </span><strong><span style="font-size: 10pt; font-family: Helvetica-Bold; color: black" lang="EN-US">87<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Air Oil<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">NA = 0.95<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">72</span><span style="font-size: 8pt; font-family: Symbol; color: black" lang="EN-US">°<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">NA = 1.4<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">67</span><span style="font-size: 8pt; font-family: Symbol; color: black" lang="EN-US">°<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 8pt; font-family: NewCenturySchlbk-Italic; color: black" lang="EN-US">n </span></em><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">= 1 </span><em><span style="font-size: 8pt; font-family: NewCenturySchlbk-Italic; color: black" lang="EN-US">n </span></em><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">= 1.515<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Figure 6-2<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Effect of immersion oil on increasing the angular extent over which diffracted rays can be<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">accepted by an objective lens. Numerical aperture is directly dependent on the wavelength </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">and the sine of the half angle of the cone of illumination </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">accepted by the front lens of the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">objective. For dry lenses, NA is limited, because rays subtending angles of 41° or greater are<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">lost by total internal reflection and never enter the lens (dotted line). The practical limit for a<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">dry lens is </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">39°, which corresponds to an acceptance angle of 72°, and an NA of 0.95. By<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">adding high-refractive index immersion oil matching that of the glass coverslip (</span><em><span style="font-size: 8.5pt; font-family: Helvetica-Oblique; color: black" lang="EN-US">n </span></em><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">1.515), an<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">oil immersion objective can collect light diffracted up to 67°, which corresponds to NA </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">1.4.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">These equations describe the </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">Rayleigh criterion </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">for the resolution of two closely<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">spaced diffraction spots in the image plane. By this criterion, </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">two adjacent object points<o:p></o:p></span></em></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">are defined as being resolved when the central diffraction spot (Airy disk) of one point<o:p></o:p></span></em></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">coincides with the first diffraction minimum of the other point in the image plane<o:p></o:p></span></em></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">(Fig. 6-3). The condition of being resolved assumes that the image is projected on the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">retina or detector with adequate magnification. Recording the real intermediate image on<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">film or viewing the image in the microscope with a typical 10</span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">eyepiece is usually adequate,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">but detectors for electronic imaging require special consideration (discussed in<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Chapters 12, 13, and 14). The Rayleigh resolution limit pertains to two luminous points in<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">a dark field or to objects illuminated by incoherent light. For a condenser and objective<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">with NA </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">1.3 and using monochromatic light at 546 nm under conditions of oil immersion,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the limit of spatial resolution </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">d </span></em><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">0.61</span><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">ë</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">/NA </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">0.26 </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">m. Numerical apertures are<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">engraved on the lens cap of the condenser and the barrel of the objective lens.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">An image of an extended object consists of a pattern of overlapping diffraction<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">spots, the location of every point x,y in the object corresponding to the center of a diffraction<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">spot x,y in the image. Imagine for a moment a specimen consisting of a<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">crowded field of submicroscopic particles (point objects). For a given objective magni-<o:p></o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 10pt; font-family: Helvetica-Bold; color: black" lang="EN-US">88 </span></strong><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">DIFFRACTION AND SPATIAL RESOLUTION<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: #292526" lang="EN-US">(a) (b) (c)<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: white" lang="EN-US">a<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: white" lang="EN-US">b<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: white" lang="EN-US">c<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Figure 6-3<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Rayleigh criterion for spatial resolution. (a) Profile of a single diffraction pattern: The bright<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Airy disk and 1st- and 2nd-order diffraction rings are visible. (b) Profile of two disks<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">separated at the Rayleigh limit such that the maximum of a disk overlaps the first minimum<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">of the other disk: The points are now just barely resolved. (c) Profile of two disks at a<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">separation distance such that the maximum of each disk overlaps the second minimum of<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">the other disk: The points are clearly resolved.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">fication, if the angular aperture of a microscope is increased, as occurs when opening<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the condenser diaphragm or when changing the objective for one with the same magnification<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">but a higher NA, the diffraction spots in the image grow smaller and the image<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is better resolved (Fig. 6-4). Thus, larger aperture angles allow diffracted rays to be<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">included in the objective, permitting resolution of specimen detail that otherwise might<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">not be resolved (Fig. 6-5).<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">The optical limit of spatial resolution is important for interpreting microscope<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">images. Irregularities in the shapes of particles greater than the limiting size (0.52 </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">m<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">diameter in the example cited previously) just begin to be resolved, but particles smaller<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">than this limit appear as circular diffraction disks, and, regardless of their true sizes and<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">shapes, always have the same apparent diameter of 0.52 </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">m. (The apparent variability<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">in the sizes of subresolution particles is due to variations in their intensities, not to variability<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">in the size of their diffraction spots.) Thus, whereas minute organelles and filaments<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">such as microtubules can be </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">detected </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">in the light microscope, their apparent<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">diameter (for the lens given previously) is always 0.52 </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">m, and their true diameters are<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">not resolved. </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">It should therefore be apparent that two minute objects whose center-tocenter<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">distance is less than 0.26 </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">m cannot be resolved, but that two objects with physical<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">radii smaller than this size can easily be resolved from each other if they are farther<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">apart than 0.26 </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">m.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">It must be remembered that </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">adjusting the condenser aperture directly affects spatial<o:p></o:p></span></em></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">resolution in the microscope. </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Since a large aperture angle is required for maximum<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">resolution, the front aperture of the condenser must be fully illuminated. Stopping down<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">SPATIAL RESOLUTION </span><strong><span style="font-size: 10pt; font-family: Helvetica-Bold; color: black" lang="EN-US">89<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Back aperture stop<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">of objective lens<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Objective<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Specimen<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Condenser<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Condenser<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">diaphragm<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 8pt; font-family: NewCenturySchlbk-Italic; color: black" lang="EN-US">a<o:p></o:p></span></em></p>
<p class="MsoNormal"><em><span style="font-size: 8pt; font-family: NewCenturySchlbk-Italic; color: black" lang="EN-US">b<o:p></o:p></span></em></p>
<p class="MsoNormal"><em><span style="font-size: 8pt; font-family: NewCenturySchlbk-Italic; color: black" lang="EN-US">a</span></em><span style="font-size: 8pt; font-family: Symbol; color: black" lang="EN-US">?<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 8pt; font-family: NewCenturySchlbk-Italic; color: black" lang="EN-US">b</span></em><span style="font-size: 8pt; font-family: Symbol; color: black" lang="EN-US">?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8pt; font-family: Symbol; color: black" lang="EN-US">è<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Figure 6-4<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Role of the condenser diaphragm in determining the effective numerical aperture. Closing<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">the front aperture diaphragm of the condenser from position </span><em><span style="font-size: 8.5pt; font-family: Helvetica-Oblique; color: black" lang="EN-US">b </span></em><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">to </span><em><span style="font-size: 8.5pt; font-family: Helvetica-Oblique; color: black" lang="EN-US">a </span></em><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">limits the angle </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">of the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">illumination cone reaching the objective, and thus the effective numerical aperture. Notice<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">that the back aperture of the objective is no longer filled at the reduced setting.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the condenser diaphragm limits the number of higher-order diffracted rays that can be<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">included in the objective and reduces resolution. In an extreme case, the condenser aperture<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">may be nearly closed in a mistaken effort to reduce light intensity. Then the half<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">angle of the light cone entering the lens is greatly restricted, and resolution in the image<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is reduced significantly. The proper way to reduce light intensity is to turn down the<o:p></o:p></span></p>
<p style="border-style: none none solid; border-color: -moz-use-text-color -moz-use-text-color windowtext; border-width: medium medium 1pt; padding: 0in 0in 1pt">
<p class="MsoNormal" style="border: medium none ; padding: 0in"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">voltage supply of the lamp or insert neutral density filters to attenuate the illumination.<o:p></o:p></span></p>
<p class="MsoNormal" style="border: medium none ; padding: 0in"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US"><o:p> </o:p></span></strong></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US"><o:p> </o:p></span></strong></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US">DEPTH OF FIELD AND DEPTH OF FOCUS<o:p></o:p></span></strong></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US"><o:p> </o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Just as diffraction and the wave nature of light determine that the image of a point object<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is a diffraction disk of finite diameter, so do the same laws determine that the disk has a<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">measurable thickness along the z-axis. </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">Depth of field Z </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">in the object plane refers to the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">thickness of the optical section along the z-axis within which objects in the specimen are<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">in focus; </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">depth of focus </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is the thickness of the image plane itself. Our present comments<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">are directed to the depth of field. For diffraction-limited optics, the wave-optical value<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">of </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">Z </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is given as<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">Z </span></em><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">n</span></em><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">ë</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">/NA</span><span style="font-size: 7pt; font-family: Times-Roman; color: black" lang="EN-US">2</span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">where </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">n </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is the refractive index of the medium between the lens and the object, </span><span style="font-size: 10pt; font-family: Symbol; color: black" lang="EN-US">ë </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">wavelength of light in air, and NA is the numerical aperture of the objective lens. Thus,<o:p></o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 10pt; font-family: Helvetica-Bold; color: black" lang="EN-US">90 </span></strong><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">DIFFRACTION AND SPATIAL RESOLUTION<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Figure 6-5<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">Effect of numerical aperture on spatial resolution. The diatom </span><em><span style="font-size: 8.5pt; font-family: Helvetica-Oblique; color: black" lang="EN-US">Pleurosigma </span></em><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">photographed<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">with a 25</span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">, 0.8 NA oil immersion lens using DIC optics. (a) Condenser aperture open,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">showing the near hexagonal pattern of pores. (b) The same object with the condenser<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">diaphragm closed. The 1st-order diffracted rays from the pores are not captured by the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">objective with a narrow cone of illumination. Spatial resolution is reduced, and the pores are<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">not resolved. Bar </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">10 </span><span style="font-size: 8.5pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><span style="font-size: 8.5pt; font-family: 'Helvetica','sans-serif'; color: black" lang="EN-US">m.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the larger the aperture angle (the higher the NA), the shallower will be the depth of field.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">The concept of depth of field is vivid in the minds of all of those who use cameras.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Short-focal-length (fast) lenses with small focal ratios (</span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">f</span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">/4) have a shallow depth of<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">field, whereas the depth of field of long-focal-length (slow) lenses (</span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">f</span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">/16) is relatively<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">deep. At one extreme is the pinhole camera, which has an infinitely small NA and an<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">infinite depth of field—all objects, both near and far, are simultaneously in focus in such<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">a camera.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">The depth of field along the z-axis is determined by several contributing factors,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">including principles of geometrical and physical optics, lens aberrations, the degree of<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">physiological accommodation by the eye, and overall magnification. These variables<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">and quantitative solutions for each are described in detail by Berek (1927), and are<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">reviewed by Inoué (in Pawley, 1995) and Pluta (1988). Calculated values of the wave<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">optical depth of field for a variety of objective lenses are given in Table 4-1.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">The depth of field for a particular objective can be measured quickly and unambiguously<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">using the microscope. A planar periodic specimen such as a diffraction grating<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is mounted obliquely on a specimen slide by propping up one end of the grating<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">using the edge of a coverslip of known thickness. When the grating is examined in the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">microscope, it will be seen that only a narrow zone of grating will be in focus at any particular<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">setting of the specimen focus dial. The depth of field </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">z </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is then calculated from the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">width </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">w </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">of the focused zone (obtained photographically) and the angle of tilt </span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">of the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">grating through the relationship<o:p></o:p></span></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">Z </span></em><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_ </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">nw </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">tan</span><span style="font-size: 10pt; font-family: Universal-GreekwithMathPi; color: black" lang="EN-US">_</span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">,<o:p></o:p></span></em></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">where </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">n </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">is the refractive index of the medium surrounding the grating.<o:p></o:p></span></p>
<p style="border-style: none none solid; border-color: -moz-use-text-color -moz-use-text-color windowtext; border-width: medium medium 1pt; padding: 0in 0in 1pt">
<p class="MsoNormal" style="border: medium none ; padding: 0in"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US"><span> </span><o:p></o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US">OPTIMIZING THE MICROSCOPE IMAGE: A COMPROMISE<o:p></o:p></span></strong></p>
<p class="MsoNormal"><strong><span style="font-size: 11pt; font-family: Helvetica-Bold; color: black" lang="EN-US">BETWEEN SPATIAL RESOLUTION AND CONTRAST<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Putting these principles into practice, let us examine two specimens using transmitted<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">light illumination and bright-field microscope optics: a totally opaque object such as a<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">copper mesh electron microscope grid and a stained histological specimen. These<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">objects are called </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">amplitude objects, </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">because light obscuring regions in the object<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">appear as low-intensity, high-contrast regions when compared to the bright background<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">in the object image. In comparison, transparent colorless objects such as living cells are<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">nearly invisible, because the amplitude differences in the image are generally too small<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">to reach the critical level of contrast required for visual detection. We discuss methods<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">for visualizing this important class of transparent objects in Chapter 7.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">With the microscope adjusted for Koehler illumination using white light, begin by<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">opening the condenser front aperture to match the diameter of the back aperture of the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US"><span>   </span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">with inherently low contrast. For color objects such as histological specimens that are to<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">be examined visually or recorded with a gray-scale camera or black-and-white film,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">contrast can be improved dramatically by selecting filters with complementary colors: a<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">green filter for pink eosin dye or a yellow filter for blue hematoxylin stain. A green filter,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">for example, removes all of the pink eosin signal, reducing the amplitude of eosinstained<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">structures and making them look dark against a bright background in a<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">gray-scale image.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">To our surprise, closing down the condenser diaphragm also has a pronounced effect:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">It increases the contrast and greatly improves the visibility of the scene (Fig. 6-6). The<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">grid bars now look black and certain features are more readily apparent. There are several<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">reasons why this happens: (1) Part of the improvement comes from </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">reducing the<o:p></o:p></span></em></p>
<p class="MsoNormal"><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">amount of stray light </span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">that becomes reflected and scattered at the periphery of the lens.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">(2) Reducing the aperture </span><em><span style="font-size: 10pt; font-family: Times-Italic; color: black" lang="EN-US">increases the coherence of light</span></em><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">; by selecting a smaller portion<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">of the light source used for illumination, the phase relationships among diffracted<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">rays are more defined, and interference in the image plane results in higher-amplitude<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">differences, thus increasing contrast. (3) With reduced angular aperture, the unit diffraction<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">spots comprising the image become larger, causing lines and edges to become<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">thicker and cover a greater number of photoreceptor cells on the retina, thus making the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">demarcations appear darker and easier to see. Thus, the benefits of improved contrast<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">and visibility might lead us to select a slightly stopped-down condenser aperture, even<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">though spatial resolution has been compromised slightly in the process. If the condenser<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">aperture is closed down too far, however, the image loses significant spatial resolution<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">and the dark diffraction edges around objects become objectionable.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">Thus, the principles of image formation must be understood if the microscope is to<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">be used properly. A wide aperture allows maximal spatial resolution, but decreases contrast,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">while a smaller, constricted aperture improves visibility and contrast, but<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">decreases spatial resolution. For all specimens, the ideal aperture location defines a balance<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">between resolution and contrast. A useful guideline for beginners is to stop down<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">the condenser aperture to about 70% of the maximum aperture diameter, but this is not<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">a rigid rule. If we view specimens such as a diffraction grating, a diatom, or a section of<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">striated muscle, stopping down the diaphragm to improve contrast might suddenly obliterate<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">periodic specimen details, because the angular aperture is too small to allow diffracted<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">light to be collected and focused in the image plane. In such a situation, the<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">aperture should be reopened to whatever position gives adequate resolution of specimen<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 10pt; font-family: Times-Roman; color: black" lang="EN-US">detail and acceptable overall image visibility and contrast.</span><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #7c6e4c; letter-spacing: 2pt" lang="EN-US"><o:p> </o:p></span></strong></p>
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		<title>Factors that Affect the Rate</title>
		<link>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/factors-that-affect-the-rate/</link>
		<comments>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/factors-that-affect-the-rate/#comments</comments>
		<pubDate>Fri, 16 May 2008 03:49:10 +0000</pubDate>
		<dc:creator>admin</dc:creator>
		
		<category><![CDATA[Dissecting Zoom Microscopes]]></category>

		<guid isPermaLink="false">http://dissectingzoommicroscopes.com/dissecting-zoom-microscopes/factors-that-affect-the-rate/</guid>
		<description><![CDATA[
Catalase is a non-digestive enzyme produced by the liver. It breaks down the toxin hydrogen peroxide in the body according to the equation H2O2 H2O + O2. The presence of the flammable gas oxygen can be used to detect this reaction. The volume produced can be used to calculate the rate of the enzyme’s activity. [...]]]></description>
			<content:encoded><![CDATA[<p><strong><span style="font-size: 22pt; font-family: 'Arial','sans-serif'; color: #351613" lang="EN-US"></span></strong><span style="font-size: 10pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US"></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 10pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">Catalase is a non-digestive enzyme produced by the liver. It breaks down the toxin hydrogen peroxide in the body according to the equation H</span><span style="font-size: 7pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">2</span><span style="font-size: 10pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">O</span><span style="font-size: 7pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">2 </span><span style="font-size: 10pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">H</span><span style="font-size: 7pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">2</span><span style="font-size: 10pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">O + O</span><span style="font-size: 7pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">2</span><span style="font-size: 10pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US">. The presence of the flammable gas oxygen can be used to detect this reaction. The volume produced can be used to calculate the rate of the enzyme’s activity. In this investigation, you will design experiments to test for factors that may affect the rate of this reaction. Factors to consider include pH, temperature, the quantity of the substrate hydrogen peroxide, and the quantity of the enzyme. Test for each factor separately.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 10pt; font-family: 'Arial','sans-serif'; color: black" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Problem<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">How do different factors affect the rate of enzyme activity?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Hypothesis</span></strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Make hypotheses about three factors you would like to test.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">CAUTION:</span></strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"> Hydrogen peroxide is a bleaching agent and an irritant. Take care not to get it, the vinegar, or the sodium bicarbonate solutions in your eyes or on your skin or clothes. Wash spills away immediately with lots of water and inform your teacher. Exercise caution when testing for flammable gas. Make sure there are no cracks in the glassware you use.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Materials<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">30 mL square bottle stock solution of puréed<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">one-holed rubber stopper liver (contains catalase) to fit above medicine dropper<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">100 mL graduated cylinder vinegar (acid)<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">10 mL graduated cylinder sodium hydrogen<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">plaster tray or pneumatic carbonate solution (base)<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">trough graph paper<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">forceps dilute hydrogen peroxide<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">600 mL beaker solution (substrate) (3%)<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">watch or clock matches<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">absorbent paper disks wooden splints<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">dissecting-zoom microscope<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></strong></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></strong></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></strong></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Experimental Plan<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">1. Using the materials and considering the set-up shown in the illustration, prepare a list of possible ways in which you can test your hypotheses.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">2. Decide on an approach that you can carry out in your classroom.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">3. Make sure your approach will test for only one possible factor (independent variable) at a time. Prepare to collect and record quantitative data for at least three variables on the graph paper, and to summarize this data in a data table (like the one shown here) that can be interpreted by others.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">4. Outline a procedure for your experiment listing each step. Include all necessary safety procedures. Provide a list of materials and the quantities you will require. Obtain our teacher’s approval before starting any reaction. One step you must do is soak as many of the paper disks in the puréed liver extract as you think you will need. Make sure you soak them all for the same length of time. To begin the reaction, the bottle containing the hydrogen peroxide and disks is turned over. Wash your hands thoroughly at the end of the investigation.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Checking the Plan</span></strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">1. What will be the dependent variable for each of the independent variables you want to test? What will the controlled variables be?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">2. What will be your control?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">3. What will you measure, and how will you record this information on the graph paper?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">4. How will you safely test whether any resulting gas is flammable?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Data and Observations<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Conduct your investigation and make your measurements. Graph your results first, and then enter your summary data in the table.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Analyze<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">1. Changes in which factors (independent variables) influenced the rate at which gas was produced? Which changes, if any, meant that little or no gas was produced?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">2. Changes in which factor produced the greatest amount of gas in the shortest amount of time?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">3. Why was it necessary to test only one variable at a time?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Conclude and Apply<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">4. Based on your results, which factors affect the rate at which enzymes such as catalase act?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">5. Explain how variations in these factors could affect digestive enzymes, and how they could affect the general well-being of a person.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Exploring Further</span></strong><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">6. Ask a pharmacist at a local drugstore to show you some of the products intended for use by customers with digestive problems.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">How many of these products contain digestive enzymes, mild acids, or mild bases? Explain why these ingredients might be used in these products, in light of what you have learned about factors that affect the rate at which enzymes work.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">7. Why do you suppose the human body is kept at a near constant temperature of 37°C? Could it have anything to do with enzymes?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 13pt; font-family: 'Arial','sans-serif'; color: #29311f" lang="EN-US">Do some research to find out more.</span><span style="font-size: 10pt; font-family: 'Arial','sans-serif'" lang="EN-US"><o:p></o:p></span></p>
]]></content:encoded>
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		</item>
		<item>
		<title>Exploring Organelle Function</title>
		<link>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/exploring-organelle-function/</link>
		<comments>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/exploring-organelle-function/#comments</comments>
		<pubDate>Fri, 16 May 2008 03:48:05 +0000</pubDate>
		<dc:creator>admin</dc:creator>
		
		<category><![CDATA[Dissecting Zoom Microscopes]]></category>

		<guid isPermaLink="false">http://dissectingzoommicroscopes.com/dissecting-zoom-microscopes/exploring-organelle-function/</guid>
		<description><![CDATA[Lysosomal digestion can be difficult to demonstrate, but you can easily observe the process of peroxisome enzymes breaking down molecules. One of these, catalase, breaks hydrogen peroxide (H2O2) down to water and oxygen. To function, lysosomal enzymes need an acidic environment. Does catalase also need an acidic environment?
 
Pre-lab Questions
 
What is the pH value of an [...]]]></description>
			<content:encoded><![CDATA[<p><strong><span style="font-size: 15pt; font-family: 'HelveticaNeue-Heavy','sans-serif'; color: #0000f3" lang="EN-US"><o:p></o:p></span></strong><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">Lysosomal digestion can be difficult to demonstrate, but you can easily observe the process of peroxisome enzymes breaking down molecules. One of these, catalase, breaks hydrogen peroxide (H2O2) down to water and oxygen. To function, lysosomal enzymes need an acidic environment. Does catalase also need an acidic environment?<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><strong><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">Pre-lab Questions<o:p></o:p></span></strong></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">What is the pH value of an acid solution, a neutral solution, and a dilute acid solution?<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">What function(s) do peroxisome enzymes serve?<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">Adding hydrogen peroxide to cut potatoes causes foam to be produced, Why?<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><strong><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">Problem<o:p></o:p></span></strong></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">How can you demonstrate the effect of pH on the catalase enzyme found in potato peroxisomes?<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><strong><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">Prediction<o:p></o:p></span></strong></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">Predict what pH condition will best support enzyme function in peroxisomes.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><strong><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">CAUTION:</span></strong><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"> Acids are corrosive; avoid contact with skin and use water to flood spills. If you are using a computer pH probe, ensure that the probe remains stable so that it does not fall and cause a spill.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><strong><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">Materials<o:p></o:p></span></strong></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">3 graduated cylinders 60 mL 3% hydrogen<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">2 droppers peroxide<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">knife 0.1 mol/L hydrochloric<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">dissecting probe acid solution<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">pH probe or indicator distilled water<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">paper potato<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">dissecting zoom microscope<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><strong><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">Procedure<o:p></o:p></span></strong></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">1. Prepare 3 hydrogen peroxide solutions of different pH as follows:<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">(a) Measure 50 mL of 3% hydrogen peroxide into each of the 3 graduated cylinders.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">(b) Label the cylinders 1, 2, and 3.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">(c) Use one dropper to add 10 drops of 0.5 mol/L hydrochloric acid solution to cylinder 1 and 5 drops of 0.5 mol/L hydrochloric acid solution to cylinder 2.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify"><span style="font-size: 9pt; font-family: SMinionPlusTab-Regular; color: #292526" lang="EN-US">(d) Use the other dropper to add 5 drops of distilled water to cylinder 2 and 10 drops of distilled water to cylinder 3.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: 'Melior','serif'; color: black" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">(e) Record the contents of each cylinder.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">2. Check and record the pH of each cylinder. If you are using a pH probe, keep a running record of the pH.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">3. Peel the potato, and cut it into 3 equal cubes. Mince each cube (sample) to an equal fineness.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">4. Add one potato sample to each graduated cylinder. Use the dissecting probe to push all of the potato into each hydrogen peroxide solution, rinsing the probe between each use.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">5. Observe the contents of each cylinder through a dissecting zoom microscope, and record your observations once a minute for 5 minutes.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><span> </span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">Then test and record the final pH for each cylinder. Use a chart to organize your observations. Make a graph to compare the reaction of each sample.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: Times-Roman" lang="EN-US">Post-lab Questions<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">1. In terms of their initial reactions, order the hydrogen peroxide solutions from strongest to weakest.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">2. Which solution had the strongest final reaction?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: Times-Roman" lang="EN-US">Conclude and Apply<o:p></o:p></span></strong></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">3. How does pH affect the rate of the catalase reaction?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">4. In terms of pH, what kind of internal environment would allow peroxisomes to function most efficiently?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">5. Identify the dependent and independent variables in this experiment.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><strong><span style="font-size: 13pt; font-family: Times-Roman" lang="EN-US">Exploring Further</span></strong><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">6. What do you predict the natural pH of a potato to be? How could you test this?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size: 10pt; font-family: Times-Roman" lang="EN-US">7. Conduct research to find out what other factors can affect the rate of an enzyme reaction.<o:p></o:p></span></p>
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		<title>Calibration of Magnification of a Dissecting Stereo-Zoom Microscope</title>
		<link>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/calibration-of-magnification-of-a-dissecting-stereo-zoom-microscope/</link>
		<comments>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/calibration-of-magnification-of-a-dissecting-stereo-zoom-microscope/#comments</comments>
		<pubDate>Fri, 16 May 2008 03:47:28 +0000</pubDate>
		<dc:creator>admin</dc:creator>
		
		<category><![CDATA[Dissecting Zoom Microscopes]]></category>

		<guid isPermaLink="false">http://dissectingzoommicroscopes.com/dissecting-zoom-microscopes/calibration-of-magnification-of-a-dissecting-stereo-zoom-microscope/</guid>
		<description><![CDATA[Materials
pancreas slides, H&#38;E stain
immersion oil
lens tissue and cleaner
eyepiece reticules
stage micrometers
dissecting stereo-zoom microscope
Examine a histological specimen to practice proper focusing of the condenser and setting of the field stop and condenser diaphragms. A 1 m thick section of pancreas or other tissue stained with hematoxylin and eosin is ideal. A typical histological specimen is a section [...]]]></description>
			<content:encoded><![CDATA[<p>Materials</p>
<p>pancreas slides, H&amp;E stain<br />
immersion oil<br />
lens tissue and cleaner<br />
eyepiece reticules<br />
stage micrometers<br />
dissecting stereo-zoom microscope</p>
<p>Examine a histological specimen to practice proper focusing of the condenser and setting of the field stop and condenser diaphragms. A 1 m thick section of pancreas or other tissue stained with hematoxylin and eosin is ideal. A typical histological specimen is a section of a tissue or organ that has been chemically fixed, embedded in epoxy resin or paraffin, sectioned, and stained with dyes specific for nucleic acids, proteins, carbohydrates, and so forth. In hematoxylin and eosin (H&amp;E) staining, hematoxylin stains the nucleus and cell RNA a dark blue or purple color, while eosin stains proteins (and the pancreatic secretory granules) a bright orange-pink. When the specimen is illuminated with monochromatic light, the contrast perceived by the eye is largely due to these stains. For this reason, a stained histological specimen is called an amplitude specimen and is suitable for examination under the dissecting-zoom microscope using bright field optics. A suitable magnification is 10–40.</p>
<p>Equipment and Procedure –for upload.</p>
<p>Three items are required: a focusable eyepiece, an eyepiece reticule, and a stage micrometer. The eyepiece reticule is a round glass disk usually containing a 10 mm scale divided into 0.1 mm (100 _m) units. The reticule is mounted in an eyepiece and is then calibrated using a precision stage micrometer to obtain a conversion factor (m/reticule unit), which is used to determine the magnification obtained for each objective lens. The reason for using this calibration procedure is that the nominal magnification of an objective lens (found engraved on the lens barrel) is only correct to within 5%. If precision is not of great concern, an approximate magnification can be obtained using the eyepiece reticule alone. In this case, simply measure the number of micrometers from the eyepiece reticule and divide by the nominal magnification of the objective. For a specimen covering 2 reticule units (200 m), for example: 200 _m/10__20 _m.</p>
<p>The full procedure, using the stage micrometer, is performed as follows:</p>
<p>To mount the eyepiece reticule, unscrew the lower barrel of the focusing eyepiece and place the reticule on the stop ring with the scale facing upward. The stop ring marks the position of the real intermediate image plane. Make sure the reticule size matches the internal diameter of the eyepiece and rests on the field stop. Carefully reassemble the eyepiece and return it to the binocular head. Next focus the reticule scale using the focus dial on the eyepiece and then focus on a specimen with the dissecting zoom microscope focus dial. The images of the specimen and reticule are conjugate and should be simultaneously in sharp focus.</p>
<p>All materials and media used for culturing microorganisms (especially bacteria) must be sterilized before using. This is most efficiently done in a device called an autoclave that heats the material to high temperature (250 F) under pressure (~15 PSI) for a time long enough (15-20 min) to kill all microorganisms that may be present. Autoclaves are also used to sterilize old, contaminated materials prior to safe disposal via normal waste streams.<br />
If you are not paying attention carefully, it is easy to cross-contaminate cultures by forgetting to flame a tool or changing swabs. Never use the same tool in two different cultures without first flaming it to sterilize - when in doubt, flame it. With disposable swabs or loops, when in doubt, use a new one.</p>
<p>•    Examine the stage micrometer slide, rotating the eyepiece so that the micrometer and reticule scales are lined up and partly overlapping. The stage micrometer consists of a 1 or 2 mm scale divided into 10 _m units, giving 100 units/mm. The micrometer slide is usually marked 1/100 mm. The conversion factor we need to determine is simply the number of _m/reticule unit. This conversion factor can be calculated more accurately by counting the number of micrometers contained in several reticule units in the eyepiece. The procedure must be repeated for each objective lens, but only needs to be performed one time for each lens.•    Returning to the specimen slide, the number of eyepiece reticule units spanning the diameter of a structure is determined and multiplied by the conversion factor to obtain the distance in micrometers.</p>
<p>Exercise</p>
<p>1. Calibrate the magnification of the objective lens/eyepiece system using the stage micrometer and an eyepiece reticule. First determine how many micrometers are in each reticule unit.</p>
<p>2. Determine the mean diameter and standard deviation of a typical cell, a nucleus, and a cell organelle (secretory granule), where the sample size, n, is 10. Examination of cell organelles requires a magnification of 40–100X.</p>
<p>3. Why is it wrong to adjust the brightness of the image using either of the two diaphragms? How else (in fact, how should you) adjust the light intensity and produce an image of suitable brightness for viewing or photography?</p>
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		<title>IMAGE INTENSIFIERS</title>
		<link>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/image-intensifiers/</link>
		<comments>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/image-intensifiers/#comments</comments>
		<pubDate>Mon, 17 Mar 2008 00:55:06 +0000</pubDate>
		<dc:creator>admin</dc:creator>
		
		<category><![CDATA[Dissecting Zoom Microscopes]]></category>

		<guid isPermaLink="false">http://dissectingzoommicroscopes.com/dissecting-zoom-microscopes/image-intensifiers/</guid>
		<description><![CDATA[Although the temporal resolution of video cameras is excellent, their sensitivity to light is limited. This is because their quantum efficiency is only moderate (20–30%), the exposure time is short (fixed at 33 ms), and because the zoom microscope electronic noise associated with rapid read rates is high. An image processor placed in-line between the [...]]]></description>
			<content:encoded><![CDATA[<p>Although the temporal resolution of video cameras is excellent, their sensitivity to light is limited. This is because their quantum efficiency is only moderate (20–30%), the exposure time is short (fixed at 33 ms), and because the zoom microscope electronic noise associated with rapid read rates is high. An image processor placed in-line between the camera and TV monitor can accumulate or average the signals from hundreds of frames for display on the TV, but electronic noise limits its ability to detect faint signals.</p>
<p>Even with frame averaging and high gain, the detection limit (as judged from a noisy, barely acceptable image) corresponds roughly to an object of moderate fluorescence intensity as seen through the eyepieces of a fluorescence microscope. Faint fluorescent objects cannot be detected at all. The solution is to use a low-light-level zoom microscope or a zoom microscope coupled to an image intensifier. <a href="http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/image-intensifiers/#more-8" class="more-link">(more&#8230;)</a></p>
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		<title>Dissecting Zoom Microscope Accessories</title>
		<link>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/dissecting-zoom-microscope-accessories/</link>
		<comments>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/dissecting-zoom-microscope-accessories/#comments</comments>
		<pubDate>Mon, 17 Mar 2008 00:52:38 +0000</pubDate>
		<dc:creator>admin</dc:creator>
		
		<category><![CDATA[Dissecting Zoom Microscopes]]></category>

		<guid isPermaLink="false">http://dissectingzoommicroscopes.com/dissecting-zoom-microscopes/dissecting-zoom-microscope-accessories/</guid>
		<description><![CDATA[DIGITAL IMAGE PROCESSORS
A digital image processors (digital signal processor) are a valuable tool for increasing the contrast, smoothness, and signal-to-noise ratio of the raw microscopy image and for performing complex operations such as background subtraction and enhancement of image contrast. This unit (a dedicated computer) is positioned between the zoom microscope and the TV monitor [...]]]></description>
			<content:encoded><![CDATA[<p>DIGITAL IMAGE PROCESSORS</p>
<p>A digital image processors (digital signal processor) are a valuable tool for increasing the contrast, smoothness, and signal-to-noise ratio of the raw microscopy image and for performing complex operations such as background subtraction and enhancement of image contrast. This unit (a dedicated computer) is positioned between the zoom microscope and the TV monitor and other recording devices. The processor converts the raw image into digital form by an A/D converter, performs image processing operations digitally, and reconverts the processed signal back to analogue form through a D/A converter. <a href="http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/dissecting-zoom-microscope-accessories/#more-7" class="more-link">(more&#8230;)</a></p>
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		</item>
		<item>
		<title>Dissecting Zoom Microscopes</title>
		<link>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/dissecting-zoom-microscopes/</link>
		<comments>http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/dissecting-zoom-microscopes/#comments</comments>
		<pubDate>Mon, 17 Mar 2008 00:49:50 +0000</pubDate>
		<dc:creator>admin</dc:creator>
		
		<category><![CDATA[Dissecting Zoom Microscopes]]></category>

		<guid isPermaLink="false">http://dissectingzoommicroscopes.com/dissecting-zoom-microscopes/dissecting-zoom-microscopes/</guid>
		<description><![CDATA[Dissecting Zoom Microscopes are excellent tools for exploring medium-scaled microscopic objects and specimen aside from being used in biomedical applications. Dissecting microscopes are stereo microscopes with automated zoom capabilities that could be used to show greater specimen detail during dissection. Top lighting is the best kind to use with a dissection, as the light will [...]]]></description>
			<content:encoded><![CDATA[<p>Dissecting Zoom Microscopes are excellent tools for exploring medium-scaled microscopic objects and specimen aside from being used in biomedical applications. Dissecting microscopes are stereo microscopes with automated zoom capabilities that could be used to show greater specimen detail during dissection. Top lighting is the best kind to use with a dissection, as the light will reflect back up off the opaque surface of the specimen. Dissecting stereo-zoom microscopes are built and designed to allow low magnification of three-dimensional objects: objects larger or thicker than what the compound microscope can accommodate.  <a href="http://www.dissectingzoommicroscopes.com/dissecting-zoom-microscopes/dissecting-zoom-microscopes/#more-6" class="more-link">(more&#8230;)</a></p>
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