IV.3. Calculation of the Glass Transition Temperature of Linear Polymers
IV.3. Calculation of the Glass Transition Temperature of Linear Polymers
This section discusses the calculation scheme for estimation of the glass transition temperature T g developed in works [6, 128]. According to this scheme, the coefficients of molecular packing for polymers of various chemical structures are approximately equal at the glass transition temperature of each of polymers, this value k g being estimated by the value k g ? 0.667 for linear polymers. The coefficient of molecular packing k 0 near the absolute zero is also approximately equal for all polymers and is 0.731.
These measurements indicate that the transition from the glassy state to the rubbery state proceeds, when a definite part of empty volume is reached, equal f E = 1 - k g = 0.333, and expression for the glass transition temperature may be presented in the following form:
(IV.39) | |
It should be noted that the material discussed in the present Chapter is tightly connected with the material discussed in Chapter III. Using expressions for ? G deduced in Chapter III, it must be written down that
(IV.40) | |
where ; Z is the coordination number of the i-th atom; D 0 i is the bond energy of the i-th atom with neighboring ones; ? V i is the Van-der-Waals volume increment of the i-th atom.
Numerical values of 1/ Z iD 0 i, typical of every atom and every type of intermolecular interaction,...