Use the exact values you enter in previous answer(s) to make later calculation(s

Question

Use the exact values you enter in previous answer(s) to make later calculation(s).

One type of electron microscope, called a scanning electron microscope (SEM), forms an image of the surface of an object by focusing electrons to a small spot on the object and then measuring the yield of reflected electrons.

(a) If the electron energy is 13 keV, what is the electron wavelength?
nm

(b) Based on what you know about light microscopes, what resolution do you expect to achieve with this SEM? That is, what is the size of the smallest object that you expect to resolve? Note: Due to other limitations, SEMs do not achieve this resolution.
nm

Explanation / Answer

(a) electron wavelength = hc/E = 6.6*10-34 * 3*108 / 2.08*10-15 = 9.52*10-11 m

(b) Resolution = 0.61* Wavelength/ N.A = 0.61 * 9.52*10-11/ 0.01 = 5.80 * 10-9m = 5.80 nm

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