Crystallography in the Spaces E², E³, E⁴, E⁵ ...N⁰II Isomorphism Classes and Study of Five Crystal Families of Space E⁵

R. Veysseyre^1*, D. Weigel¹, T. Phan¹, H. Veysseyre²

¹Laboratoire Mathématiques appliquées aux Systèmes, Ecole Centrale Paris, Paris, France.
²Institut Supérieur de Mécanique de Paris, Paris, France.

DOI: 10.4236/apm.2015.54021                

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.

Keywords

Crystal Families of Space E⁵, Names, Point Groups of the Families, Rhombotopic Crystal Families

Conflicts of Interest

The authors declare no conflicts of interest.

References

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