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Finding diffraction-limited spatial resolution

  1. Oct 6, 2013 #1
    1. The problem statement, all variables and given/known data

    A scanning electron microscope (SEM) images samples using a beam of electrons. If
    the electrons are accelerated across a potential difference of 5.00 kV, what is the
    diffraction-limited spatial resolution of the SEM? Work this problem both relativistically and nonrelativistically.

    2. Relevant equations
    This is what I used, but I'm not sure what exactly to use.
    [tex]E=eV[/tex]
    [tex]E=\frac{hc}{λ}[/tex]
    [tex]E=\frac{mv^{2}}{2}[/tex]

    3. The attempt at a solution
    I first solved for E using E=eV, because I have both e and V, then I plugged that into the second equation to solve for wavelength (don't know why, I just wasn't sure what I'm supposed to be solving for. I understand what the question wants from me).

    Then I set [itex]eV=\frac{mv^{2}}{2}[/itex], solving for velocity and found it to be 4.19x107.

    Then I solved for E using [itex]E=γmc^{2}[/itex]

    But I'm not sure what the question wants me to find. What is diffraction-limited spatial resolution?

    Thanks
     
  2. jcsd
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