The Lattice cubic P (classical holotype)
An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University
(nebe@math.rwth-aachen.de)
and
Neil J. A. Sloane
(njasloane@gmail.com)
Last modified Fri Jul 18 13:12:44 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIM
GRAM
DET
GROUP_NAME
GROUP_ORDER
REFERENCES
NOTES
BASIS
TRIANGULAR_BASIS
PROPERTIES
LAST_LINE
-
NAME
cubic P (classical holotype)
-
DIM
3
-
GRAM
3 3
1 0 0
0 1 0
0 0 1
-
DET
1
-
GROUP_NAME
*432 = +-O_24
Also O_h = m3{bar}m = [3,4] = 2xS_4
-
GROUP_ORDER
48
-
REFERENCES
Kittel, Intro to Solid State Physics p. 14.
Wells, Structural Inorganic Chemistry p. 43.
-
NOTES
The simple cubic lattice Z3 = I3.
One of the Bravais lattices.
Holotype = smallest determinant of any classically integral lattice
of this type.
-
BASIS
3 3
.100000000000E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .100000000000E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .100000000000E+01
-
TRIANGULAR_BASIS
3 3
.100000000000E+01 .000000000000E+00 .000000000000E+00
.000000000000E+00 .100000000000E+01 .000000000000E+00
.000000000000E+00 .000000000000E+00 .100000000000E+01
-
PROPERTIES
INTEGRAL =1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe