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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![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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa94ef811-7aeb-45cc-a8c4-872250660697%2Fbfbec3e3-9a59-4b4f-a11b-d2f81c878777%2Fgfhgqwr_processed.jpeg&w=3840&q=75)
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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