Once the slope of the ∆ε vs. concentration has been measured, the only remaining unknown in this equation is the dipolar rotational relaxation of the solute. We have implemented a numerical simulation package in Python which provides accurate values for the dipolar rotational relaxation time using the molecular structure, solvent viscosity, solvent dielectric, and temperature as input parameters [described further in the Molecular Rotation section of the SI] enabling accurate dipole moment measurements without the need for carefully selected standards or outside experiments as was the case in the past. Due to experimental sensitivity constants, we are unable to use this same technique in order to measure the ground-state polarizability with much accuracy without going to unacceptably high solute concentrations.