Best fit equations for the preferential interaction co-efficient at constant co-solute chemical potential, Γμ3, and transfer free energy, Δμ2, transfer, as a function of excipient molality. The preferential interaction co-efficient data for trehalose and NaCl was fitted using a linear fitting algorithm and that for L-arginine.HCl was fitted using a non-linear fitting algorithm in Origin. The error bars in the bracket denote the standard error of fit. Transfer free energy values, Δμ2, transfer were calculated by integrating the fitting equations for as a function of excipient molality (m3) for the indicated combinations of protein and excipient at room temperature using vapor pressure osmometry technique.