Červeň I - CRYSTAL SYMMETRY, Historical development of ideas about symmetry from the beginning of the XVII. century to the middle of the XX. century. Authors, their publications and opinions

CRYSTAL SYMMETRY
Historical development of ideas about symmetry from the beginning of the XVII. century to the middle of the XX. century. Authors, their publications and opinions

Ivan Červeň
cervenivan@gmail.com
Slovak University of Technology 
Faculty of Electrical Engineering and Information Technology,
Department of Physics

Abstract:

Much effort has been devoted in the past to the description of the symmetry of crystals, i.e., to the description of the relevant set of symmetry operations and methods for their determination. This has led to the development of the theory of crystal symmetry. This text was written with the intention of conveying the development of this theory - from the first scientific experiments already in the XVII. century until its completion in the middle of the XX. century, when this was done by purely mathematical methods. It was sometimes interesting to go back to the past and find out the genesis of crystallographic terms. In this context, it was primarily the thoughts of Fyodorov and Schoenflies, but they also followed on from important predecessors. That's why it was interesting to look deeper into the past, when and where considerations about the laws of crystal symmetry arose.

DOI: 10.61544/MGAI4062

Literatúra:

Kepler: Strena Seu De Niue Sexangula, Francofurti ad Moenum, Anno M. DC. XI.

N. Steno: De solido intra solidum naturaliter content,  Dissertationis Prodromus, Florentiae, MDCLXIX.

R. J. Haüy: Essai d'une théorie sur la structure des crystaux, A Paris M.DCC.LXXXIV.

J. F. Ch. Hessel: Krystall in Gehlers Physikalische Wörterbuche, V. Band (1830). Krystallometrie .... , Engelmann, Leipzig 1897.

A. Bravais: Mémoire sur les systémes formés par des points distribués, régulierment sur un plan au dans l’espace, Paris 1848.

A. Gadolin: Вывод всех кристаллографических систем и их подразделений, Записки Имп. русского минерал. общ., IV, 1869.

L. Sohncke: Die unbegrenzten regelmässigen Punktsysteme als Grundlage einer Theorie der Krystallstruktur. 83 Seiten. 2 Tafeln, Karlsruhe 1876.

E. S. Fiodorov: Симметрия правильных систем фигур, Зап. Мин. общ., 2-я серия, 1891, т. XXVIII, 1-146.

A. Schoenflies: Krystallsysteme und Krystallstruktur, Teubner, Leipzig 1891.

A. Speiser: Die Theorie der Gruppen von Endlicher Ordnung,. Springer, Berlin 1923

G. Polya: Ueber die Analogie der Kristallsymmetrie in der Ebene, Z.f.Krist. 60 (1924), 278-82.

F. Seitz:  A matrix-algebraic development of the crystallographic groups, Princeton University, 1934.

W. H. Zachariasen: Theory of X-ray Diffraction in Crystals. New York: John Wiley and Sons (1945).

A. V. Shubnikov: Simmetria i antisimmetria konečnych figur,  Sov. Akad. Nauk (1951).

A. V. Shubnikov – N. V. Belov: Colored symmetry, Pergamon Press, Oxford, 1964.

S. Ďurovič: Notion of ""packets"" in the theory of OD structure,  Acta Crystallographica B30 (1974): 76-78

E. Makovicky, B. G. Hyde: Incommensurate, Two-Layer Structures with . . .  Material Science  Forum, Vols. 100-101 (1992) pp. 1-100.

L. L. A. Bursill, Peng Ju Lin: Penrose tiling observed in a quasi-crystal, Nature 316 (04 July 1985), 50-51.

International Tables for Crystallography, Vol A, 2005.