Calculate the translational, vibrational $($calculate excluding and including the zero$-$point energy term$),$ rotational, and electronic contributions to the molecular partition function for gaseous ammonia at $25$ C and $1$ bar $($such that the volume is that appropriate for $1$ mole of molecules$).$ The mass is $17\mathrm{.}024$ amu. The rotational constants are $9\mathrm{.}44,9\mathrm{.}44,$ and $6\mathrm{.}2$ cm$1.$ The vibrational constants $($and degeneracies$)$ are $3336(1),932(1),3443(2),$ and $1616(2)$ cm$1.$ The ground electronic state has a degeneracy of $1(1$A$1).$ Take the zero of energy to be that of the ground state, i$.$e$.,$ not the separated atoms.

$2)$ Calculate the translational, rotational, vibrational $($calculate excluding and including the zero$-$point energy term$),$ and electronic $($calculate taking the zero of energy to be that of the ground state molecule and that of the separated atoms$)$ contributions to the internal energy $($U$)$ for gaseous ammonia at $25$ C and $1$ bar $($such that the volume is that appropriate for $1$ mole of molecules$).$ Molecular constants can be found in problem $1.$ The atomization energy is D$0=1158$ kJ$/$mol$.$

$3)$ Calculate the translational, rotational, vibrational $($calculate excluding and including the zero$-$point energy term$),$ and electronic $($calculate taking the zero of energy to be that of the ground state molecule and that of the separated atoms where D$0=1158$ kJ$/$mol$)$ contributions to the constant volume heat capacity $($CV$)$ for gaseous ammonia at $25$ C and $1$ bar $($such that the volume is that appropriate for $1$ mole of molecules$).$ Compare your answer with the experimental value of $26\mathrm{.}75$ J$/$K mol.