In magnetic nanoparticle systems, the variation of the blocking temperature with the measuring frequency is often used to determine the strength of the interparticle interactions (IPI) through a parameter or the Vogel-Fulcher temperature . Presence of IPI is inferred if > 0 and = ∆ [ ∆ log 10 ] ⁄ < 0.13 where Δ signifies changes in and . Here it is shown that these two parameters are related by the Eq. = [1 − ( ⁄ )] where ≈0.11 to 0.15 is a constant of the system depending on the magnitudes of measuring frequency and the attempt frequency of the Néel relaxation. Experimental verification of this relationship is also presented using data on a variety of nanoparticle systems.