De Broglie postulate and electron acceleration

  • Thread starter sushiking
  • Start date
  • #1
1
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What relationship did de Broglie postulate between the momentum of a particle
and the wavelength of the corresponding matter wave?

Explain briefly how a beam of electrons may be used to investigate the atomic
structure of the surface of a metallic substance. Estimate the potential difference
through which the electron beam should be accelerated for this purpose, showing
your reasoning.
electron mass me = 9.11x10^-31 kg
electron charge e = 1.60x10^-19 C
Planck constant h = 6.63x10^-34 Js

Path difference: a(cosθi-cosθr)=nλ
Kmax=hv-W
E^2=p^2.c^2 + mo^2.c^4

Answer to question one surely is that matter can be described as both a wave and as a particle. The key equation would be: λ=h/p
For the second part, I'm trying to relate the potential difference to the velocity of the electron so I can find it's momentum, and then that can be used as the work on the electron.
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
Well the potential difference would act up the electron's charge thus giving it kinetic energy, 1/2 mv2
 

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