By John G. Kemeny, J. Laurie Snell, Anthony W. Knapp
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D. and Disch, R. L. (1963). The quadrupole moment of the carbon dioxide molecule. Proceedings of the Royal Society London A, 273, 275-289.  Buckingham, A. H. (1983). Electric fieldgradient-induced birefringence in N2, C2H5, CsHe, Cl2, N2O and CHsF. Molecular Physics, 49, 703-710. D. (1997). Temperature dependence of electric field-gradient-induced birefringence in carbon dioxide and carbon disulfide. Chemical Physics Letters, 274, 1-6. , Imrie, D. , and Raab, R. E. (1998). Measurement of the electric quadrupole moments of CC>2, CO, N2, Cl2 and BFs.
96) show that these are ordered according to the following hierarchy , , . ,. , f electric Hquadrupole f electric octopole electric dipole > < ,. , >< ^ , > • • - . 122) Thus in multipole theory, effects may be classified according to the lowest multipole order in the expansions of D and H that is necessary to explain the effect, based on the above hierarchy. For example, the dynamic magnetoelectric effect is described to lowest order by terms of electric quadrupolemagnetic dipole order (Chapter 4).
124) is unchanged. 127) is justified by the smallness of this term . 122) (see Chapters 5 and 8). 6). 2). The non-uniqueness of D and H is an important feature of multipole theory which will be discussed in detail in later chapters (see Chapters 7 and 8). Here we simply give an example which illustrates this non-uniqueness and we comment briefly on various formulations of D and H which appear in the literature. 120) because the additional terms involving M]. 129) have zero divergence. 11). 129) takes the form where e^ is a complex dynamic permittivity.
Denumerable Markov Chains by John G. Kemeny, J. Laurie Snell, Anthony W. Knapp