About the calculation of the second-order susceptibility $\chi^{(2)}$ tensorial elements for crystals using group theory

E.S. Jatirian-Foltides, J.J. Escobedo-Alatorre, P.A. Márquez-Aguilar, H. Hardhienata, K. Hingerl, A. Alejo-Molina


In this work we discuss the way in which, in principle, the nonzero elements in the second-order susceptibility tensor are calculated in a crystal. Group Theory predicts which one of these elements will be zero based on the symmetry of the crystal. However, the position of these zeros in the tensor are intrinsically associated to a fixed system of reference chosen ``a priori'' for a particular crystal.


Susceptibility; tensor; crystal; group theory

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Revista Mexicana de Física E

ISSN: 2683-2216 (on line), 1870-3542 (print)

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