(a) How many microstates have the smallest value of energy? What is the largest microstate energy? (b) For microcanonical macrostates of energy E, calculate the number of states N(E, N), and the entropy S(E, N). (c) Calculate the heat capacity C(T) and sketch it. (d) What is the probability that a specific molecule is standing up? (e) What is the largest possible value of the internal energy at any positive temperature?

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(a) How many microstates have the smallest value of energy? What is the largest
microstate energy?
(b) For microcanonical macrostates of energy E, calculate the number of states N(E, N),
and the entropy S(E, N).
(c) Calculate the heat capacity C(T) and sketch it.
(d) What is the probability that a specific molecule is standing up?
(e) What is the largest possible value of the internal energy at any positive temperature?
Transcribed Image Text:(a) How many microstates have the smallest value of energy? What is the largest microstate energy? (b) For microcanonical macrostates of energy E, calculate the number of states N(E, N), and the entropy S(E, N). (c) Calculate the heat capacity C(T) and sketch it. (d) What is the probability that a specific molecule is standing up? (e) What is the largest possible value of the internal energy at any positive temperature?
7. Molecular adsorption: N diatomic molecules are stuck on a metal surface of square
symmetry. Each molecule can either lie flat on the surface, in which case it must be
aligned to one of two directions, x and y, or it can stand up along the z direction. There
is an energy cost of ɛ > 0 associated with a molecule standing up, and zero energy for
molecules lying flat along x or y directions.
Transcribed Image Text:7. Molecular adsorption: N diatomic molecules are stuck on a metal surface of square symmetry. Each molecule can either lie flat on the surface, in which case it must be aligned to one of two directions, x and y, or it can stand up along the z direction. There is an energy cost of ɛ > 0 associated with a molecule standing up, and zero energy for molecules lying flat along x or y directions.
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