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Peck Equation

Relates the glass transition temperature (TgT_g) of a polymer to its chain size and entanglement density, a key concept in soft matter.
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The statement of the theorem

Define the glass transition temperature TgT_g as a function of the molecular weight MwM_w and the critical entanglement molecular weight MeM_e. The relationship is often modeled by the empirical form: \nTg(Mw)Tg,∞=(1−1Mw/Me)ν\frac{T_g(M_w)}{T_{g, \infty}} = \left(1 - \frac{1}{M_w/M_e}\right)^{\nu} \nwhere Tg,∞T_{g, \infty} is the limiting glass transition temperature for infinite chains, and ν\nu is a critical exponent, typically found to be 1/21/2 or 1/31/3 depending on the specific polymer class and model approximation.
Source: Wikipedia