Boiling Line

($T_t\leq T\leq T_c$): \[ p_b=p_c\times e^{\frac{T_c}{T}\left(a_1\phi+a_2\phi^{1.5}+a_3\phi^2+a_4\phi^{4.5}\right)} \] with \[ \phi=(1-T/T_c), \quad T_c = 150.687 \text{K}, \quad p_c = 4.863 \text{MPa}, \quad a_1 = -5.9409785, \\ a_2 = 1.3553888, \quad a_3 = -0.46497607, \quad a_4 = -1.5399043 \]

Melting Line

\[ p_m=p_t\left(1+a_1\left[\left(\frac{T}{T_t}\right)^{1.05}-1\right]+a_2\left[\left(\frac{T}{T_t}\right)^{1.275}-1\right]\right) \] with \[ T_t = 83.8058 \text{K}, \quad p_t = 0.068891 \text{MPa}, \quad a_1 = -7476.2665, \quad a_2 = 9959.0613 \]

Sublimation Line

\[P_{sub}=P_t\times e^{\frac{T_t}{T}\left[a_1\left(1-\frac{T}{T_t}\right)+a_2\left(1-\frac{T}{T_t}\right)^{2.7}\right]}\] with \[ T_t = 83.8058 \text{K}, \quad p_t = 0.068891 \text{MPa}, \quad a_1 = -11.391604, \quad a_2 = -0.39513431 \]

LAr Density

$(T_t\leq T \leq T_c)$: \[ \rho_{liquid}=\rho_c\times e^{A\cdot t^{0.334}+B\cdot t^{2/3}+C \cdot t^{7/3}+D\cdot t^4} \] with \[ t=(1-T/T_c), \quad T_c = 150.687 \text{K}, \quad \rho_c = 0.5356 \text{g/cm}^3, \quad A = 1.5004262, \quad B = -0.31381290, \quad\\ C = 0.086461622, \quad D = -0.041477525, \quad \]

Enthalpy

Fit to enthalpy data from Ref [1], the enthalpy of vaporization $\Delta H$ in kJ/mol as a function of temperature $T$ for $T$: \[ \Delta H=\frac{A+B\cdot T}{1+C\cdot T}, \] \[ A = 7.98304, \quad B = -0.0481275, \quad C = -0.0047259 \]