The statistical associating fluid theory for potentials of variable attractive range (SAFT-VR) has been used for the phase equilibrium calculations of 49 pure refrigerants divided into eight classes: hydrofluorocarbons (HFCs), hydrochlorofluorocarbons (HCFCs), chlorofluorocarbons (CFCs), chlorinated hydrocarbons (CHCs), perfluorocarbons (PFCs), hydrofluoroethers (HFEs), C-1-C-6 hydrocarbons (HCs), and fluoroiodides (HIs). The optimized values of the pure component parameters for the model are obtained by fitting to the available experimental data such as the vapor pressure and saturated phase densities of each of the pure components. The correlations using the model were in good agreement with experimental data for most of the substances. In our companion paper, these parameters are used with standard combining rules to predict and correlate mixture phase properties based on the pure components discussed in this work.