** Next:** Introduction

# Metric Tensor and Symmetry Operations in Crystallography

**Germano Rigault**

Istituto di Mineralogia, Università di Torino, Italy

Download in PDF format

## Teaching Aims

To use the ideas of vector and matrix calculus to introduce the concepts of
symmetry operations and symmetry elements and to derive the crystallographic
point groups on this basis.
### Level

This is a fairly high-level course which would be most appropriate to the
later years of undergraduate study or to the early years of postgraduate
research. It could be helpful in relating crystallography to other
disciplines such as physical chemistry and physics provided that the
mathematical background of the students is high enough.
### Background Required

A familiarity with vector manipulation is needed and, for certain sections,
an understanding of tensor calculus.
### Practical Resources

No particular practical resources are required.
### Time Required for Teaching

This is a meaty course and could well occupy 7-10 hours of teaching and
discussion for full assimilation.

**Copyright © 1980, 1998 International Union of
Crystallography**

IUCr
Webmaster