CLUSTER SIZE EVALUATION IN ASSOCIATED LIQUIDS
BY CHARACTERISTIC TIME SCALES OF ORIENTED POLARIZATION

Arkhipov Vladimir Ivanovich, Candidate of physical and mathematical sciences, associate professor, senior staff scientist, sub-department of radio electronics, Kazan (Volga Region) Federal University, varkh59@hotmail.com
Agmon Noam, Professor, Department of Chemistry, The Hebrew University of Jerusalem, agmon@fh.huji.ac.il

532.74:538.66:538.27

A simplified derivation for the ratio of macroscopic to microscopic relaxation times of polar liquids is based on the Mori–Zwanzig projection-operator technique, with added statistical assumptions. We obtain several useful forms for the lifetime ratio, which we apply to the dynamics of liquid water. Our theoretical single-molecule relaxation times agree with the second Debye relaxation times as measured by frequency-domain dielectric spectroscopy of water and alcohols. From the theory, fast relaxation modes couple to the Debye relaxation time, τD. Slower modes are localized to smaller water clusters. This is exemplified by the lifetime ratios measured by time-domain dielectric spectroscopy and optical Kerr effect spectroscopy, respectively.

Dipole, dielectric, water, spirit, the kinetic equations, projective operators, relaxation time, dielectric permeability, correlation function, spectroscopy.