Summary
The schemes of components of general fifth and sixth order tensors of polar and axial nature are derived for all the crystallographic groups by using the method of direct inspection for triclinic, monoclinic, rhombic, tetragonal and cubic groups, and elementary group theory for trigonal and hexagonal groups.
Riassunto
Si derivano gli schemi delle componenti dei tensori generali polari e assiali di quinto e sesto ordine per tutti i gruppi cristallografici applicando il metodo dell’ispezione diretta pei gruppi triclino, monoclino rombico, tetraedrico e cubico e con l’ausilio della teoria elementare dei gruppi per il trigonale e l’esagonale.
Similar content being viewed by others
References
H. Baumgartner, F. Jona andW. KÄnzig:Ergebn. d. Exakt. Naturw.,23, 235 (1950).
W. P. Mason:Bell System Tech. Journ.,26, 80 (1947);Phys. Rev.,88, 480 (1952).
W. P. Mason:Phys. Rev.,82, 715 (1951);85, 1065 (1952).
F. Birch:Phys. Rev.,71, 809 (1947);F. G. Fumi:Phys. Rev.,83, 1274 (1951) and86, 561 (1952);R. F. S. Hearmon:Acta Cryst.,6, 331 (1953). A book on the subject has been published by ProfessorMurnaghan: F. D. Murnaghan:Finite Deformation of an Elastic Solid (New York, 1951).
W. Voigt:Lehrbuch der Krystallphysik (Leipzig, 1928);A. E. H. Love:The Mathematical Theory of Elasticity (Cambridge, 1927);W. A. Wooster:A Textbook on Crystal Physics (Cambridge, 1938);W. P. Mason:Piezoelectric Crystals (New York, 1950).
F. G. Fumi:Acta Cryst,5, 44, 691 (1952).
F. G. Fumi:Nuovo Cimento,9, 739 (1952).
Bhagavantam (Proc. Ind. Acad. Sci., A16, 359 (1942);Acta Cryst.,5, 591 (1951)) and by the writer (ref. 5, Table XII;Nuovo Cimento,9, 184 (1952)).
The forthcoming publication of these results was announced inActa Cryst.,6, 107 (1953).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fieschi, R., Fumi, F.G. High-order matter tensors in symmetrical systems. Nuovo Cim 10, 865–882 (1953). https://doi.org/10.1007/BF02773081
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02773081