Davisson and Germer performed their experiment with a nickel target for several electron bombarding energies. At what angles would they find diffraction maxima for 38 eV and 54 eV electrons?

The angle of diffraction are 67.75 deg and 53.57 deg.

Explanation:

Given:

Davisson and Germer  experiment with nickel target for electrons bombarding.

Voltages : and

We have to find the angles that is   and .

Concept:

Davison Germer experiment is based on de Broglie hypothesis where it says matter has both wave and particle nature.When electrons get reflected from the surface of a metal target with an atomic spacing of , they form diffraction patterns.The positions of diffraction maxima are given by .An atomic spacing is , when  the principal maximum corresponds to n=1 The wavelength is , and   .

Solution:

Finding the wavelength at .

⇒

⇒ nm

    Plugging the values of wavelength.

⇒  

⇒  

⇒ degrees.

Now

For for the electrons with energy , the wavelength is.

⇒ nm

And

⇒ degrees.

So,

The angles of diffraction maxima are 67.75 deg and 53.57 deg.

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