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