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Use a computer to produce a graph of Ωtotal vs qa for two Einstein solids. Use...

Use a computer to produce a graph of Ωtotal vs qa for two Einstein solids. Use Na=200, Nb=800 and q=200.

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Answer #1

The plot of versus qA of an Einstein's solid will be a graph that has a single peak of height and a FWHM of at q/2

Where

This will be a very large value.

If we take the natural logarithm of this, the factorial will reduce to

For the first solid,

N = 200 and q = 200.

So,

FWHM =

The peak occurs at q/2 = 100

The plot will be

For the solid B,

N = 800

FWHM =

The peak occurs at q/2 = 100

So, the peak will be at the same position, higher and leaner.

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