q r o t = 8 π I k B T h 2 {\displaystyle q_{rot}={\frac {8\pi Ik_{B}T}{h^{2}}}}
球形转子的配分函数
q r o t = π 1 / 2 σ ( 8 π 2 I k B T h 2 ) 3 / 2 {\displaystyle q_{rot}={\frac {\pi ^{1/2}}{\sigma }}\left({\frac {8\pi ^{2}Ik_{B}T}{h^{2}}}\right)^{3/2}}
对称陀螺的配分函数
q r o t = π 1 / 2 σ ( 8 π 2 I A k B T h 2 ) ( 8 π 2 I B k B T h 2 ) 1 / 2 {\displaystyle q_{rot}={\frac {\pi ^{1/2}}{\sigma }}\left({\frac {8\pi ^{2}I_{A}k_{B}T}{h^{2}}}\right)\left({\frac {8\pi ^{2}I_{B}k_{B}T}{h^{2}}}\right)^{1/2}}
q r o t = π 1 / 2 σ ( 8 π 2 I A k B T h 2 ) 1 / 2 ( 8 π 2 I B k B T h 2 ) 1 / 2 ( 8 π 2 I C k B T h 2 ) 1 / 2 {\displaystyle q_{rot}={\frac {\pi ^{1/2}}{\sigma }}\left({\frac {8\pi ^{2}I_{A}k_{B}T}{h^{2}}}\right)^{1/2}\left({\frac {8\pi ^{2}I_{B}k_{B}T}{h^{2}}}\right)^{1/2}\left({\frac {8\pi ^{2}I_{C}k_{B}T}{h^{2}}}\right)^{1/2}}
q v i b = ∏ i 1 1 − exp ( − h v k B T ) {\displaystyle q_{vib}=\prod _{i}{\frac {1}{1-{\textrm {exp}}\left({\frac {-hv}{k_{B}T}}\right)}}}
