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. 281

## Section 1.11.7. Glossary

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

aA. 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:  dmitrien@crys.ras.ru

### 1.11.7. Glossary

| top | pdf |

 local susceptibility tensor in direct space Fourier components of the local susceptibility tensor reciprocal-lattice vector polarization vector of an X-ray wave wavevector of an X-ray wave matrix corresponding to point-group operator polarization vector perpendicular to the scattering plane polarization vector in the scattering plane Bragg angle azimuthal angle of rotation about a reciprocal-lattice vector vector potential of the electromagnetic wave momentum of an electron frequency of an electromagnetic wave wavelength of the radiation energy of a discrete atomic level spin of an electron scattering amplitude scattering vector Levi-Civita symbol transition frequency for states a and c energy width of the excited state probability that the state of the scatterer is occupied tensor atomic factor structure-factor tensor of rank 2 intensity of the reflection notation of the electric multipole transition. : the dipole; : the quadrupole notation of the magnetic multipole transition orbital moment of electron dipole–dipole tensor atomic factor symmetric part of the dipole–dipole tensor atomic factor antisymmetric part of the dipole–dipole tensor atomic factor third-rank tensor describing the dipole–quadrupole resonant X-ray scattering part of the third-rank tensor invariant under time inversion and symmetric under the permutation of j and k part of the third-rank tensor non-invariant under time inversion and symmetric under the permutation of j and k part of the third-rank tensor invariant under time inversion and antisymmetric under the permutation of j and k part of the third-rank tensor non-invariant under time inversion and antisymmetric under the permutation of j and k fourth-rank tensor describing the quadrupole–quadrupole resonant X-ray scattering Tr trace of matrix magnetic moment of an atom YLM spherical tensor component of the spherical tensor depending only on the incident and scattered radiation component of the spherical tensor associated with the tensor properties of the absorbing atom

### References

Di Matteo, S., Joly, Y. & Natoli, C. R. (2005). Detection of electromagnetic multipoles by X-ray spectroscopies. Phys. Rev. B, 72, 144406.
Paolasini, L. (2012). Magnetism in condensed matter: resonant and magnetic scattering by synchrotron radiation. In Italian School on Magnetism, Pavia 2012, pp. 1–83. Universita di Pavia.