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3. The translational energy levels, degree of degeneracy, and quantum numbers for a particle in a cubic box are quantized as below. Compare the thermodynamic probabilities with Fermi-Dirac, Bose-Einstein, and Maxwell-Boltzmann statistics when five atoms are arranged in three energy levels. One atom is at energy level $\epsilon_1$, two atoms at energy level $\epsilon_2$, and two atoms at energy level $\epsilon_3$. $8m a^2 E/h^2$ $9(=\epsilon_3)$ $g_3=3$ (122, 212, 221) $N_3=2$ $6(=\epsilon_2)$ $g_2=3$ (211, 121, 112) $N_2=2$ $3(=\epsilon_1)$ $g_1=1$ (111) $N_1=1$

          3. The translational energy levels, degree of degeneracy, and quantum numbers for a particle in a cubic box are quantized as below. Compare the thermodynamic probabilities with Fermi-Dirac, Bose-Einstein, and Maxwell-Boltzmann statistics when five atoms are arranged in three energy levels. One atom is at energy level $\epsilon_1$, two atoms at energy level $\epsilon_2$, and two atoms at energy level $\epsilon_3$.
$8m a^2 E/h^2$
$9(=\epsilon_3)$   $g_3=3$  (122, 212, 221)   $N_3=2$
$6(=\epsilon_2)$   $g_2=3$  (211, 121, 112)   $N_2=2$
$3(=\epsilon_1)$   $g_1=1$  (111)   $N_1=1$

3 the translational energy levels degree of degeneracy and quantum numbers for a particle in a cubic box are quantized as below compare the thermodynamic probabilities with fermi dirac bose 63965

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