Brownian motion dipole correlation function

A qualitative theoretical interpretation of the experimental findings on the basis of the dipole correlation function has been proposed by Williams and Watts. They assumed that a reference dipole may find itself in a number of different environments and, consequently, the fraction of relaxed by local motions will depend on the particular environment. The environments may, in turn, be changed by micro-Brownian motions. Let the probability of finding the dipole in an environment / be p(l). If the fraction of the mean square dipole moment relaxed by the j -process is = //, then (1 —(5m ) of the mean square dipole moment is left unrelaxed by this... 

We discuss the rotational dynamics of water molecules in terms of the time correlation functions, Ciit) = (P [cos 0 (it)]) (/ = 1, 2), where Pi is the /th Legendre polynomial, cos 0 (it) = U (0) U (it), u [, Is a unit vector along the water dipole (HOH bisector), and U2 is a unit vector along an OH bond. Infrared spectroscopy probes Ci(it), and deuterium NMR probes According to the Debye model (Brownian rotational motion), both... 

---