Quick search Find article
Quick search
Find article

The dielectric tensor in incommensurately modulated crystal phases

E Dijkstra, A Janner and H Meekes

Show affiliations


A characterization of the dielectric properties in incommensurately modulated phases is presented. First a microscopic description is adopted. It takes into account the structural restrictions imposed on a microscopic scale by the superspace group. The macroscopic optical properties are derived from it. The optical activity as observed in the incommensurate phases of several compounds cannot be explained within a plain microscopic approximation. Therefore, a mesoscopic level is considered, implying averaging distances large with respect to the basic unit cell parameters or even the modulation wavelength, but small with respect to the size of the finite crystal. The phenomenological approach presented is compatible both with the microscopic description based on a superspace group symmetry, as well as with the macroscopic one involving the point group of the average structure. In the case considered here (one-dimensional incommensurate modulation) the optical properties of the dielectric medium are analysed in terms of subperiodic groups, periodic along the direction of the modulation wave and homogeneous along the other two directions. It is shown that the optical properties are affected by the incommensurability and that small changes in symmetry related to boundary conditions can lead to macroscopic effects. To interpret the experimental data more quantitatively a Jones model is applied, which describes the mesoscopic spatial dispersion of the modulated dielectric tensor to vary periodically along the modulation and being constant in the plane perpendicular to it. This model is compared with the experimental results for the ellipticity angle chi of (N(CH3)4)2ZnCl4 obtained for light propagating along the modulation.


PACS

77.22.-d Dielectric properties of solids and liquids

61.44.Fw Incommensurate crystals

78.20.Ek Optical activity

Subjects

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Dates

Issue 3 (20 January 1992)



  1. The dielectric tensor in incommensurately modulated crystal phases

    E Dijkstra et al 1992 J. Phys.: Condens. Matter 4 693

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. The Use of Electron Microscopy and Electron Diffraction in Solid State Physics
  2. Symmetry peculiarities of dielectric tensor in incommensurately modulated crystal phases

Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Local polarization dynamics in ferroelectric materials
  2. Techniques for measuring the microwave dielectric properties of materials

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.