\begin{align}
{ {C_p(T)} \over R}=a_1+a_2T+a_3T^2+a_4T^3+a_5T^4
\end{align}
\begin{align}
{ {H^0(T)} \over RT}=a_1+a_2{{T} \over 2} + a_3{{T^2} \over 3} + a_4{{T^3} \over 4} + a_5{{T^4}\over 5} + {{b_1} \over T}
\end{align}
\begin{align}
{ {S^0(T)} \over R}=a_1lnT+a_2T + a_3{{T^2} \over 2} + a_4{{T^3} \over 3} + a_5{{T^4}\over 4} + b_2
\end{align}
$$C_p \text{ : heat capacity(j/mol*k) } $$
$$H^0 \text{ : enthalpy(kj/mol) } $$
$$S^0 \text{ : entropy(j/mol*k) } $$
$$T \text{ : etmperature(k) } $$
$$R \text{ : gas constant(8.3144598 j/mol*k) } $$