He Fucheng. A GENERAL METHOD FOR CALCULATING THE MEAN SQUARE ELECTRIC DIPOLE MOMENTS AND THE MEAN SQUARE LENGTHS OF POLYMERIC CHAINS[J]. Acta Polymerica Sinica, 1980,(1):1-9.
He Fucheng. A GENERAL METHOD FOR CALCULATING THE MEAN SQUARE ELECTRIC DIPOLE MOMENTS AND THE MEAN SQUARE LENGTHS OF POLYMERIC CHAINS[J]. Acta Polymerica Sinica, 1980,(1):1-9.DOI:
By generalizing the method adopted by the authors (Sun and Ho[10])
a general equation for calculating the mean square electric dipole moments and the mean square lengths of polymeric chains has been derived on the basis of restricted
but independent internal rotations. This equation is as follows:where Bi
m = …
Ti is the axis transformation matrix relating coordinate systems of consecutive skeletal bonds
[x/y] represents the integral part of x/y
m is the period of transformation.The general equation holds for n.m as n is sufficiently lareg it may be trans-formed into the following form.