Formula
Self-diffusion coefficient [1]
\begin{align*}
D &= D_0 [\frac{T_K}{T_s} - 1]^{\gamma} \\
\text{where} \\
D_0 &= (1.635 \times 10^{-8} \pm 2.242 \times 10^{-11}) ~ \text{m}^2\text{s}^{-1}, \\
T_s &= (215.05 \pm 1.20) ~ \text{K}, \\
\gamma &= 2.063 \pm 0.051
\end{align*}
Density [2]
\begin{align*}
\rho &= \frac{a_0 + a_1 T_C + a_2 T_C^2 + a_3 T_C^3 + a_4 T_C^4 + a_5 T_C^5}{1 + b T_C} \\
\text{where} \\
a_0 &= 999.83952, \\
a_1 &= 16.945176, \\
a_2 &= -7.9870401 \cdot 10^{-3}, \\
a_3 &= -46.170461 \cdot 10^{-6}, \\
a_4 &= 105.56302 \cdot 10^{-9}, \\
a_5 &= -280.54253 \cdot 10^{-12}, \\
b &= 16.87985 \cdot 10^{-3}
\end{align*}
Isothermal compressibility [2]
\begin{align*}
\beta_{T} &= \frac{a_0 + a_1 T_C + a_2 T_C^2 + a_3 T_C^3 + a_4 T_C^4 + a_5 T_C^5}{1 + b T_C} \\
\text{where} ~ (T_C < 100) \\
a_0 &= 50.88496, \\
a_1 &= 0.6163813, \\
a_2 &= 1.459187 \cdot 10^{-3}, \\
a_3 &= 20.08438 \cdot 10^{-6}, \\
a_4 &= -58.47727 \cdot 10^{-9}, \\
a_5 &= 410.4110 \cdot 10^{-12}, \\
b &= 19.67348 \cdot 10^{-3} \\
\text{or} ~ (100 < T_C < 150) \\
a_0 &= 50.884917, \\
a_1 &= 0.62590623, \\
a_2 &= 1.3848668 \cdot 10^{-3}, \\
a_3 &= 21.603427 \cdot 10^{-6}, \\
a_4 &= -72.087667 \cdot 10^{-9}, \\
a_5 &= 465.45054 \cdot 10^{-12}, \\
b &= 19.859983 \cdot 10^{-3}
\end{align*}
Thermal expansion coefficient [2]
\begin{align*}
\alpha_{P} &= \frac{1}{V} \frac{\partial}{\partial T_C} V \\
&= \frac{1}{\frac{M}{\rho}} \frac{\partial}{\partial T_C} \frac{M}{\rho} \\
&= \rho \frac{\partial}{\partial T_C} \frac{1}{\rho} \\
&= \rho \frac{\partial}{\partial T_C} \frac{1 + b T_C}{a_0 + a_1 T_C + a_2 T_C^2 + a_3 T_C^3 + a_4 T_C^4 + a_5 T_C^5} \\
&= \rho \frac{b}{a_0 + a_1 T_C + a_2 T_C^2 + a_3 T_C^3 + a_4 T_C^4 + a_5 T_C^5} -
\frac{(b T_C + 1)(a_1 + 2 a_2 t + 3 a_3 t^2 + 4 a_4 t^3 + 5 a_5 t^4)}{(a_0 + a_1 T_C + a_2 T_C^2 + a_3 T_C^3 + a_4 T_C^4 + a_5 T_C^5)^2} \\
\text{where} \\
a_0 &= 999.83952, \\
a_1 &= 16.945176, \\
a_2 &= -7.9870401 \cdot 10^{-3}, \\
a_3 &= -46.170461 \cdot 10^{-6}, \\
a_4 &= 105.56302 \cdot 10^{-9}, \\
a_5 &= -280.54253 \cdot 10^{-12}, \\
b &= 16.87985 \cdot 10^{-3}
\end{align*}
Specific heat [2]
\begin{align*}
C_P &= 4.1855 (0.996185 + 0.0002874(\frac{T_C + 100}{100})^{5.26} + 0.011160 \cdot 10^{-0.036 T_C})
\end{align*}