ALGEBRAIC FOUNDATION OF MAXIMAL FINITE GROUP OF 3 DIMENTIONAL CRYATALLOGRAPHY | Zendy

Ye Xiao-Rong | Zendy; You’an Cao | Zendy; Yang Qibin | Zendy

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ALGEBRAIC FOUNDATION OF MAXIMAL FINITE GROUP OF 3 DIMENTIONAL CRYATALLOGRAPHY

Author(s) -

Ye Xiao-Rong,

You’an Cao,

Yang Qibin

Publication year - 2001

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.50.1139

Subject(s) - group (periodic table) , mathematics , pure mathematics , point (geometry) , metric (unit) , algebraic number , combinatorics , mathematical analysis , physics , geometry , quantum mechanics , operations management , economics

Four arithmetic non-equivalent metric tensor matrices,-have been derived in this paper according to a crystallographic general equation TN=T.T1,T3 and T4 are geometric equivalent ones,therefore,only T1 and T2 are geometric non-equivalent ones.Substituting T1 and T2 into NTN=T,two maximal finite groups can be derived, which have 48 and 24 elements respectively and belong to two crystallographic point groups.The other 30 point groups can be derived according to group-subgroup relationship.

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