A system consisting of six indistinguishable particles obeys the Fermi-Dirac statistics. This system includes four possible macrostate assembles and with each macrostate contains four equally spaced energy levels. The degeneracy of each energy level (g;) is 3 (see the table below). k= 8=3 2 1 W₁ = 1 ● 2 · • 3 4 9 27 9 A. Calculate the thermodynamic probabilities, wk, of macrostate k = 4. B. What is the total number of possible microstates of the system? C. Find the average occupation number of energy levels 1, 2 and 3.
A system consisting of six indistinguishable particles obeys the Fermi-Dirac statistics. This system includes four possible macrostate assembles and with each macrostate contains four equally spaced energy levels. The degeneracy of each energy level (g;) is 3 (see the table below). k= 8=3 2 1 W₁ = 1 ● 2 · • 3 4 9 27 9 A. Calculate the thermodynamic probabilities, wk, of macrostate k = 4. B. What is the total number of possible microstates of the system? C. Find the average occupation number of energy levels 1, 2 and 3.
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Transcribed Image Text:A system consisting of six indistinguishable particles obeys the Fermi-Dirac statistics. This
system includes four possible macrostate assembles and with each macrostate contains four
equally spaced energy levels. The degeneracy of each energy level (g) is 3 (see the table
below).
k=
8 = 3
2
1
0
1
9
2
●
27
3
9
4
..
●●
A. Calculate the thermodynamic probabilities, wk, of macrostate k = 4.
B. What is the total number of possible microstates of the system?
C. Find the average occupation number of energy levels 1, 2 and 3.
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