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Space groups and representations...
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This program calculates irreducible
representations of space groups. Space group
irreps are labeled by k-vector star and
corresponding little group representation
number.
Input data :
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Space group number as given in ITA.
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k-vector data :
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Reciprocal lattice basis type, which may
be primitive (as in
Cracknell-Davies-Miller-Love tables [1]),
dual to the conventional (ITA), or
dual to non-conventional (see 3.)
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k-vector coordinates relative to
chosen basis as any three decimal numbers
or fractions.
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Label of the k-vector (up to three
letters).
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You may change the conventional basis of the
group to another one by entering a
transformation that relates two bases. The
transformation, in general, consists of a
rotational part and an origin shift.
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The program gives you the possibility to get
the irrep matrices for any element of the
space group. For that it is necessary to
enter the rotational and translational parts
of the element in the corresponding fields. (
The rotational and translational parts of any
element can be obtained from General
positions ).
[1] Cracknell, A. P., Davies, B. L.,
Miller, S. C., and Love, W. F. (1979). Kronecker
Product Tables. Vol. 1.
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Optional:
If you wish to see the full-group irreps for the
generators check this
Optional: If you wish
to change conventional (ITA) basis check this
Optional: If you wish to see the irreps
for arbitrary space group element check this
Rotational part
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Traslation
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or
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REPRES