Maximum resolution by quantum mechanics

AI Thread Summary
Microscopes are limited by the wavelength of light, affecting their resolution capabilities. The discussion revolves around calculating the resolution difference between using red light (500 nm) and electrons accelerated through a potential difference of 50,000 V. Participants are seeking guidance on the relevant equations and concepts, particularly how resolution relates to wavelength. The energy of the electrons and their corresponding wavelength are crucial for solving the problem. Understanding these principles will help clarify the resolution advantages of electron microscopy over traditional light microscopy.
lagwagon555
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Homework Statement


Microscopes are inherently limited by the wavelength of the light used. How
much smaller (in order of magnitude) can we “see” using an electron microscope
whose electrons have been accelerated through a potential difference of 50 000 V
than using red light (500 nm)?



Homework Equations



Here's the problem... I have a vague reference to (theta)N*0.002 radians, but since this isn't even an equation, I don't know if it's helpful. My lecturer puts no effort into notes at all.


The Attempt at a Solution



Herein lies the problem, I don't know where to start, since it's mostly just a plug and chug problem, and I don't know the equation. Any pointers would be hugely appreciated!
 
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Hi lagwagon555! :wink:
lagwagon555 said:
… I don't know where to start, since it's mostly just a plug and chug problem, and I don't know the equation. Any pointers would be hugely appreciated!

Hints: how is resolution related to wavelength?

What is the energy of each electron, and so what is its wavelength? :smile:
 

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