COMPUTER GENERATION OF SUBDUCTION FREQUENCIES FOR 2ND ORDER PHASE TRANSITIONS IN TWO-DIMENSIONS.
Item
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Title
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COMPUTER GENERATION OF SUBDUCTION FREQUENCIES FOR 2ND ORDER PHASE TRANSITIONS IN TWO-DIMENSIONS.
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Identifier
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AAI8508694
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identifier
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8508694
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Creator
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DEONARINE, SAMAROO.
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Contributor
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Joseph L. Birman
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Date
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1985
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Condensed Matter
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Abstract
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The Landau theory of 2nd order phase transitions and Group theory Criteria are used to predict which subgroups G (L-HOOK EQ) G(,0) can occur in transitions for 2-D systems (plane-group to plane-group and diperiodic to diperiodic). Previous work 1 on the 17 plane space groups has been based on the tables of Coxeter & Moser 2 and the International Tables of X-ray Crystallography (ITXRC, 1965) 3 . These tables do not exhaust all the possible subgroups of a space group 4 . Since such explicit tables are non-existent for other families of space groups we have developed algorithms that make a systematic search of the parent unit cell of G(,0) to locate the origin and orientation of all its subgroups G, G (L-HOOK EQ) G(,0).;We have written a RATFOR/FORTRAN program for the VAX 11-780 which will generate the subduction frequencies.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;for allowed second order phase transitions in 2-dimensional systems that are describable by the 80 diperiodic Groups G(,0) and G 5 .;Our program gives a complete tabulation (Origin, new Translation Sublattice, Subduction Frequency, Subgroup and its Generators) of the allowed continuous or second order phase transitions from a parent diperiodic group G(,0) to another diperiodic subgroup G.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
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Program
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Physics
