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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2016 Volume 19, Number 2, Pages 29–36 (Mi sjim918)

Symmetry of finite crystalline solids

R. M. Garipov, M. S. Kotelnikova

Lavrent'ev Institute of Hydrodynamics SB RAS, 15 Lavrent'ev av., 630090 Novosibirsk

Abstract: The symmetry of finite crystalline solids is described by generalized Fourier series invariant under finite groups. The electronogram of the Shechtman icosahedral phase is calculated.

Keywords: group, electron, material wave, icosahedral phase.

UDC: 548.1

Received: 30.07.2015

DOI: 10.17377/sibjim.2016.19.203


 English version:
Journal of Applied and Industrial Mathematics, 2016, 10:2, 192–198

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© Steklov Math. Inst. of RAS, 2025