Porod coefficient

Hereby P denotes the Porod coefficient which is directly related to the specific internal surface Oac (the area per unit volume of the interface separating crystalline and amorphous regions), by... 

The appropriate parameter used in SAXS studies of crystallization kinetics is the Porod coefficient P defined as (Eq. (A. 160))... 

Equation (A.160), known as Porod s law with P as the Porod coefficient... 

The error function E explicitly depends on the set of coefficients aj, j 6 / that parameterize the vector field and has the major advantage of having a unique minimum of zero in the ideal Porod-Kratky case. 

The last relation shows that a long macromolecule rolls up into a coil at high temperatures. The smaller the elasticity coefficient a is, the more it coils up. Another name for the model of flexible thread is the model of persistence length or the Kratky-Porod model. The quantity a/T is called the persistence length (Birshtein and Ptitsyn 1966). 

Thus, the time evolutions of cr and can be calculated from Eqs. (9.77) and (9.78) once the time evolutions of the mesoscopic orientation are calculated from the solution of Eqs. (9.72)-(9.76). Note that values of five (owing to the Porod relation given by Eq. (9.62)) Leslie coefficients must be provided, which is not a trivial task. In addition, the value of e must be specified from experimental data. In this regard, e can be regarded as an adjustable parameter. 

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