Phelma Formation 2022

Crystallography - VPMFCRI4

  • Number of hours

    • Lectures 12.0
    • Projects 0
    • Tutorials 12.0
    • Internship 0
    • Laboratory works 0


    ECTS 2.0


The knowledge of the structure of matter is most often a prerequisite for understanding its properties. X-ray, neutron or elecron scattering can be used in order to investigate the structure of materials. The course is an introduction to crystallography. It focuses on perfect crystal structure and symmetry and X-ray scattering.

The two main objectives of the course are that students are able to describe any crystal structure and to determine a crystal structure from the analysis of its X-ray diffraction pattern.

Contact Eirini WILHELM


1/ Introduction
2/ Direct and recirocal lattices, lattice classification
3/Study of crystal symmetries, space groups, point groups
4/ X-ray scattering
5/ Experimental methods and case studies

Chapters 2 and 3 deal with geometrical crystallography. The importance of the symmetry of crystals will be emphasized. Examples will be analyzed only from a structural point of view. Questions about the origin of a given structure or chemical bonding are out of the scope of the lectures.
Chapters 4 and 5 on X ray scattering are illustrated by tutorials on relevant examples of crystal structure determination.


No presrequisites
Teaching methods : 24h Theoretical classes (T)
Language : Classes and assessment in English, Bibliography in English.


Semester 7 - The exam is given in english only 

Final written examination. 2 hours
No document exept one sheet of paper (hand written) containing a summary of the course.
Pocket calculator allowed.
Same rules for both session and session 2

100% examen écrit

Additional Information

This course brings 2.0 ECTS to students in UE Materials basis

This course brings 2.0 ECTS to students in UE Modelling tools and applications

This course brings 2.0 ECTS to students in UE 2 Materials and mechanics

This course brings 2.0 ECTS to students in UE Materials characterisation

Semester 7 - This course is given in english only EN
Course list
Curriculum->Engineering degree->Semester 7
Curriculum->Internationals Cursus->Semester 7


N.W. Ashcroft and N.D. Mermin
Solid State Physics (Holt-Saunders International editions) : chapters 4,5,6,7.

C. Hammond
The Basics of Crystallography and Diffraction (International Union of Crystallography / Oxford Science Publications, 2001).

M. T. Dove
Structure and Dynamics : an atomic view of materials (Oxford series in condensed matter physics, 2003)

B. E. Warren
X-Ray Diffraction ( Dover publications, 1969 first edition, 1990 second edition).

J. Als-Nielsen and D. McMorrow
Elements of Modern X-ray Physics (John Wiley and sons, 2001)