ABSTRACT:- Blander and Katz give a formula in classical nucleation theory, J = A exp K, for homogeneous nucleation (liquid–>gas). Jennings proved that dlnA/dK = 1/6K for all pure liquids by combining two theories, taking the limit as polymer concentration–>0. This gives lnA = (1/12)ln(K2) + C, where C is the integration constant. The conjecture is that C is a constant for fluids of low molecular weight. We used data for 10 sample solvents, and solved for C. The surface tension drops out in C, which makes C more accurate, as the surface tension is difficult to get at 0.89Tc, the limit of superheat. Tc = critical point in Kelvin. All quantities are evaluated at the limit of superheat, which is approximately 0.89Tc for solvents. C = 75.379 ± 1.073 for the 10 solvents (a range of polar to non-polar). This eliminates the prefactor A, streamlining J: ln J = (1/12)ln(K2) + 75.379 + K is the exact new equation. Using information from Blander and Katz, it is possible to get an exact value for K. K = – 64.5605.

KEY WORDS:- “homogeneous nucleation” “Flory-Huggins theory” “limit of superheat” “differential equation” “polymer solutions”