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

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


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:

Table | top | pdf |
Identification of properties under time inversion [T] and space inversion [P] of tensors associated with multipole expansion

After Di Matteo et al. (2005[link]) and Paolasini (2012[link]).

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