513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
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Kittel problem 6.2

Derive the relationship connecting pressure and volume of an electron gas at 0 K. The result may be written as p = 2(U0/V)/3. Show that the bulk modulus B = -V(dp/dV) of an electron gas at T = 0 is B = 5p/3 = 10U0/9V.