Symmetrical transformation of basic translation vectors in the supercell model of imperfect crystals and in the theory of special points of the Brillouin zone

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Symmetrical transformation of basic translation vectors in the supercell model of imperfect crystals and in the theory of special points of the Brillouin zone. / Evarestov, R. A.; Smirnov, V. P.

в: Journal of Physics Condensed Matter, Том 9, № 14, 07.04.1997, стр. 3023-3031.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{21941a3893af45d1a83fb0a16a9d428b,

title = "Symmetrical transformation of basic translation vectors in the supercell model of imperfect crystals and in the theory of special points of the Brillouin zone",

abstract = "The matrices of the symmetrical transformations for all the three-dimensional Bravais lattices are found. These matrices may be applied for the investigation of physical properties of single defects in crystals in the supercell model. The corresponding transformations of reciprocal lattices with a not more than 32-fold decrease of the Brillouin zone volume are used for the generation of special point sets for the approximative numerical integration over the Brillouin zone in cubic crystals with simple, face-centred and body-centred lattices.",

author = "Evarestov, {R. A.} and Smirnov, {V. P.}",

note = "Funding Information: The authors wish to thank Universiti Sains Malaysia for funding this work by grant FRGS No. 203/PPSG/6171008.",

year = "1997",

month = apr,

day = "7",

doi = "10.1088/0953-8984/9/14/016",

language = "English",

volume = "9",

pages = "3023--3031",

journal = "Journal of Physics Condensed Matter",

issn = "0953-8984",

publisher = "IOP Publishing Ltd.",

number = "14",

}

RIS

TY - JOUR

T1 - Symmetrical transformation of basic translation vectors in the supercell model of imperfect crystals and in the theory of special points of the Brillouin zone

AU - Evarestov, R. A.

AU - Smirnov, V. P.

N1 - Funding Information: The authors wish to thank Universiti Sains Malaysia for funding this work by grant FRGS No. 203/PPSG/6171008.

PY - 1997/4/7

Y1 - 1997/4/7

N2 - The matrices of the symmetrical transformations for all the three-dimensional Bravais lattices are found. These matrices may be applied for the investigation of physical properties of single defects in crystals in the supercell model. The corresponding transformations of reciprocal lattices with a not more than 32-fold decrease of the Brillouin zone volume are used for the generation of special point sets for the approximative numerical integration over the Brillouin zone in cubic crystals with simple, face-centred and body-centred lattices.

AB - The matrices of the symmetrical transformations for all the three-dimensional Bravais lattices are found. These matrices may be applied for the investigation of physical properties of single defects in crystals in the supercell model. The corresponding transformations of reciprocal lattices with a not more than 32-fold decrease of the Brillouin zone volume are used for the generation of special point sets for the approximative numerical integration over the Brillouin zone in cubic crystals with simple, face-centred and body-centred lattices.

UR - http://www.scopus.com/inward/record.url?scp=0000498218&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/9/14/016

DO - 10.1088/0953-8984/9/14/016

M3 - Article

AN - SCOPUS:0000498218

VL - 9

SP - 3023

EP - 3031

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 14

ER -

ID: 84357740