Partition Function
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
\text{Free variables of Helmholtz Free Energy}
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
\text{Chemical Potentials}
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
\text{Sum over guests}
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
\text{Sum over microscopic states of guests}
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
e^{\frac{\mu N-\epsilon(N_{Ji},N_Q)}{\tau}}
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
e^{\frac{\mu N-\epsilon(N_{Ji},N_Q)}{\tau}}
\text{Chemical Potentials}
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
e^{\frac{\mu N-\epsilon(N_{Ji},N_Q)}{\tau}}
\text{\# Molecules}
\tilde{Z}(\tau,V,N_Q,\mu_1,...,\mu_M)=\sum^{}_{N_{J_i}}\sum^{}_{S(N_{J_i}, N_Q)}e^\text{Blah}
e^{\frac{\mu N-\epsilon(N_{Ji},N_Q)}{\tau}}
\text{Binding Energy of Guest Molecule to Cage}
\frac{(v_iN_Q)!}{(v_iN_Q-\sum N_{Ji})!\prod_J (N_{Ji})}
Partition Function
By Refath Bari
