Excess hyperpolarizabilities: the irreducible tensor approach

The irreducible spherical and Cartesian tensors built of the products of two interaction tensors: the second order tensor resulting from the product of two second order tensors contracted once with the index λ , third order tensor appearing as a product of the third order interaction tensor and the...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical chemistry 2012-06, Vol.50 (6), p.1570-1581
Main Author: Bancewicz, Tadeusz
Format: Article
Language:English
Subjects:
Chemistry
Chemistry and Materials Science
Math. Applications in Chemistry
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The irreducible spherical and Cartesian tensors built of the products of two interaction tensors: the second order tensor resulting from the product of two second order tensors contracted once with the index λ , third order tensor appearing as a product of the third order interaction tensor and the second order one contracted once with the index λ and the fourth order product of two second order tensors , have been considered. This type of products is encountered, e.g., within the London’s dispersive energy formula, inside the second-order virial coefficients of many physical parameters such as the dielectric constant, the Kerr constant, the induced polarizability and hyperpolarizability of a pair of molecules and in other induced quantities. Our results are applied explicitly to the excess induced first and second pair hyperpolarizability.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-012-9990-0