Assume there is a 2-dimensional crystalline sample, in which the ions can vibrate within the crystal plane (but not out of plane). It is a square lattice with lattice constant a. The sample itself is a square with side length L. (a) Derive the form of the density of states D(w). (The answer can be expressed in terms of dw/dk.)
Assume there is a 2-dimensional crystalline sample, in which the ions can vibrate within the crystal plane (but not out of plane). It is a square lattice with lattice constant a. The sample itself is a square with side length L. (a) Derive the form of the density of states D(w). (The answer can be expressed in terms of dw/dk.)
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Transcribed Image Text:Assume there is a 2-dimensional crystalline
sample, in which the ions can vibrate within the
crystal plane (but not out of plane). It is a square
lattice with lattice constant a. The sample itself
is a square with side length L.
(a) Derive the form of the density of states D(w).
(The answer can be expressed in terms of
dw/dk.)
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