The Analytical Expression of the Results of the Theory of Space-Groups
The Analytical Expression of the Results of the Theory of Space-Groups
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The attempt to write down on the basis of these coordinate positions the different arrangements of the atoms in calcite that are possible in the light of its symmetry immediately eliminates many of the possibilities just discussed. For instance it is clear that in neither case are there enough special cases of one equivalent position so that the two calcium atoms can be different and the two carbon atoms also different. The same fact shows that possibility (2) for the arrangement of the oxygen ...atoms may also be omitted from con- sideration; it can be similarly shown that there are in neither space-group sufficient special cases so that four of the oxygen atoms can be alike and two dift^erent. All of the possible ways for the atoms of calcite to be arranged can then be written as:* Arrangements arising from Dg^: (a) Ca = u u u ; u u u.
C = Ui Ui Ui ; til Ui U2.
O = U2 U2 0; U2 U2; U2 U2; U2 U2 0; U2 U2; U2 U2.
(b) Ca and C as in (a).
O = U2 U2 1; U2 1 U2; § U2 U2; U2 U2 1; U2 i U2; -| U2 uj (c) Ca and C as in (a).
What to read after The Analytical Expression of the Results of the Theory of Space-Groups?
You can find similar books in the "Read Also" column, or choose other free books by Ralph W G Ralph Walter Graystone Wyckoff to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The attempt to write down on the basis of these coordinate positions the different arrangements of the atoms in calcite that are possible in the light of its symmetry immediately eliminates many of the possibilities just discussed. For instance it is clear that in neither case are there enough special cases of one equivalent position so that the two calcium atoms can be different and the two carbon atoms also different. The same fact shows that possibility (2) for the arrangement of the oxygen ...atoms may also be omitted from con- sideration; it can be similarly shown that there are in neither space-group sufficient special cases so that four of the oxygen atoms can be alike and two dift^erent. All of the possible ways for the atoms of calcite to be arranged can then be written as:* Arrangements arising from Dg^: (a) Ca = u u u ; u u u.
C = Ui Ui Ui ; til Ui U2.
O = U2 U2 0; U2 U2; U2 U2; U2 U2 0; U2 U2; U2 U2.
(b) Ca and C as in (a).
O = U2 U2 1; U2 1 U2; § U2 U2; U2 U2 1; U2 i U2; -| U2 uj (c) Ca and C as in (a).
What to read after The Analytical Expression of the Results of the Theory of Space-Groups?
You can find similar books in the "Read Also" column, or choose other free books by Ralph W G Ralph Walter Graystone Wyckoff to read onlineMoreLess
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