In this work, the effect of symmetry on some ferrotoroidial
properties of quasi-crystals with 5-fold, 8-fold, 10-fold and 12-fold
symmetries using group theoretical methods are dealt with. The number of
independent constants is calculated and tabulated which helps in describing the
ferrotoroidial properties of the quasi-crystals. Like crystals, quasi-crystals
are ordered structures in which continuous translational and rotational
symmetries are broken. In both cases,
there remains a discrete set of transformations invariant. The symmetries and group theory is of greatest
importance to scientists who want to reveal the characteristic features of
physical properties of quasi-crystals just from their symmetries but not from
the details of atomic and inter-atomic interaction. This chapter gives a brief account of group
theoretical methods of studying the effect of symmetry of some ferrotoroidial
properties of quasi-crystals with 5-fold, 8-fold, 10-fold and 12-fold
symmetries and the number of independent constants required to describe the
ferrotoroidial properties of quasi-crystals.
Author(s) Details:
G. Sireesha,
Department of Mathematics, VNR, Vignana Jyothi Institute of
Engineering and Technology, Hyderabad, India.
Please see the link here: https://stm.bookpi.org/CICMS-V9/article/view/14332
