International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2013). Vol. D. ch. 1.11, p. 280

Table 1.11.6.2 

V. E. Dmitrienko,a* A. Kirfelb and E. N. Ovchinnikovac

a A. V. Shubnikov Institute of Crystallography, Leninsky pr. 59, Moscow 119333, Russia,bSteinmann Institut der Universität Bonn, Poppelsdorfer Schloss, Bonn, D-53115, Germany, and cFaculty of Physics, M. V. Lomonosov Moscow State University, Leninskie Gory, Moscow 119991, Russia
Correspondence e-mail:  [email protected]

Table 1.11.6.2 | top | pdf |
Identification of properties under time inversion Mathematical symbol and space inversion Mathematical symbol of tensors associated with multipole expansion

After Di Matteo et al. (2005link to reference) and Paolasini (2012link to reference).

Rank of tensor Resonant process T P Type Multipole
0 E 1E1 + + charge monopole
0 E 2E2 + + charge monopole
1 E 1E1 + magnetic dipole
1 E 2E2 + magnetic dipole
1 E 1E2 + electric dipole
1 E 1E2 polar toroidal dipole
2 E 1E1 + + electric quadrupole
2 E 2E2 + + electric quadrupole
2 E 1E2 + axial toroidal quadrupole
2 E 1E2 magnetic quadrupole
3 E 2E2 + magnetic octupole
3 E 1E2 + electric octupole
3 E 1E2 polar toroidal octupole
4 E 2E2 + + electric hexadecapole