Electron Microscope Homework: Resolving Power of Atom

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The resolving power of a microscope is fundamentally limited by the wavelength of the particles used for imaging. To visualize an atom with a diameter of 100 picometers, a resolving power of approximately 10 picometers is necessary. This requires calculating the minimum electron energy using the de Broglie wavelength concept. The discussion highlights the relationship between the electron's charge and its behavior in an electric field, which is crucial for determining the required energy. Understanding these principles is essential for solving the homework problem effectively.
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Homework Statement


The highest achievable resolving power of a microscope is limited only by the wavelength used; that is, the smallest item that can be distinguished has dimensions about equal to the wavelength. Suppose one wishes to "see" inside an atom. Assuming the atom to have a diameter of 100 pm, this means that one must be able to resolve a width of, say, 10 pm. If an electron microscope is used, what minimum electron energy is required?

Homework Equations


I don't know.


The Attempt at a Solution


I don't know how to begin with this problem.
 
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