Consider a 2D crystal with N primitive unit cells and basis of one atom. Assume the atoms are only allowed to move in th

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Consider A 2d Crystal With N Primitive Unit Cells And Basis Of One Atom Assume The Atoms Are Only Allowed To Move In Th 1 (72.55 KiB) Viewed 27 times

Consider a 2D crystal with N primitive unit cells and basis of one atom. Assume the atoms are only allowed to move in the plane of the lattice. (a) Use Einstein's approximation to derive an expression for the heat capacity. (b) Using your result in (a), what is the temperature dependence of the heat capacity in the low temperature and high temperature regimes respectively? (c) Sketch the heat capacity as a function of temperature.