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MSE2020LectureNotes_3_10_sheet

# MSE2020LectureNotes_3_10_sheet - Name ID M SE2020 Midterm2...

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Name: _________ ID: ______ MSE2020 Midterm2 March 8, 2011 1 eV = (1.610- 19 Coulombs) x 1 Volt = 1.6 10- 19 Joules = 1.6 10- 19 J Plank constant, h = 6.626 X 10- 34 J s; speed of light, c = 3 X 10 8 rnfs 1. What is the numerical aperture (N.A.)? What is a typical value of N.A. in an electron microscope and what is it in a typical optical microscope? (2 points) / .-_ . ...1- j I ~. _I .J.~~ fJ~ CAY~ .\61 v-VJ)-f°'v\JJh.A.(J biw ~vJiuv-... ' cr A ftt1oj- u.'YYVJI.it- r~ , -f'1" N~ -=- JtSin~ i" O'pn ccoJ. ,w. CJf\J~ rv ,t; U,~,~.ff dY'-1l i) SGM "'i.( ~ <.~ -'2. 2. Give a reason for why vacuum is needed in an electron microscope? (1 point) -b '1 wc;vvJ- -e. - ~~ o.h3~d Is~~ti! In cJ~'v~ - M tv hawe- u~(ff\ ~VY 1. '("){V~ 3. Prove that the depth of focus in an SE~s inversely proportional to both the magnification and to the aperture half-angle u. (5 points) " h- - \) '\ 'I ~o(-~ D - -t~~ ' ~ :;;: M~t ~ D= \ J r ~ 4. In an ion-scattering characterization tool, Na+ ions are accelerated using an electric field generated by a high voltage source. The Na+ ions of mass m are accelerated over a voltage V. Prove that the following relationship is correct: A= II (2meV)I/2

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