TITLE:
Crystallography in the Spaces E2, E3, E4, E5 ...N0II Isomorphism Classes and Study of Five Crystal Families of Space E5
AUTHORS:
R. Veysseyre, D. Weigel, T. Phan, H. Veysseyre
KEYWORDS:
Crystal Families of Space E5, Names, Point Groups of the Families, Rhombotopic Crystal Families
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.4,
March
23,
2015
ABSTRACT:
In the paper N0II,
we describe some isomorphism classes and we apply their properties to the study of five crystal families of space E5. The names of these
families are the following ones (monoclinic di iso squares)-al, decadic-al,
(monoclinic di iso hexagons)-al, (rhombotopic cosa=-1/4)-al and rhombotopic cosa=-1/5. The meaning of these names will be given in Paragraphs 5
and 6 with some geometric properties of their cell.