Calculating Sound Velocity in Diamond Using Debye Approximation

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To calculate the sound velocity in diamond using the Debye approximation, the Debye temperature (Dt = 2000 K) and density (3500 kg/m3) are essential parameters. The distance between nearest neighbors is given as 0.15 nm, which is relevant for the calculation. The discussion emphasizes the need to refer to the Debye model for the appropriate formula that connects these parameters to sound velocity. Additional resources, like Kittel's book, may provide further clarity on the topic. Understanding these concepts is crucial for accurate calculations in solid-state physics.
CF.Gauss
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Diamond has a Debye temperature of Dt = 2000 K and a density of 3500 kg/m3.
The distance between nearest neighbors is 0.15 nm. Determine the velocity of
sound using the Debye approximation.

I have no idea where to even start with this question. Most books don't even mention the Debye approx. and all the others have very little or are so confusing!
 
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Refer http://en.wikipedia.org/wiki/Debye_model

There is a formula in there, that connects all the given parameters with the sound velocity. You can also follow the derivation.

Of course to understand more, you might have to refer to some book such as Kittel.
 

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