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

APM > Vol.5 No.4, March 2015

Volume 5, Issue 4 (March 2015)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

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

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DOI: 10.4236/apm.2015.54021 2,640 Downloads 3,351 Views Citations

Author(s)

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

Affiliation(s)

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

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

Share and Cite:

Veysseyre, R. , Weigel, D. , Phan, T. and Veysseyre, H. (2015) Crystallography in the Spaces E², E³, E⁴, E⁵ ...N⁰II Isomorphism Classes and Study of Five Crystal Families of Space E⁵. Advances in Pure Mathematics, 5, 196-207. doi: 10.4236/apm.2015.54021.

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