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Code: 44090
ECTS: 6.0
Lecturers in charge: prof. dr. sc. Nenad Tomašić
doc. dr. sc. Franka Miriam Brückler
Lecturers: doc. dr. sc. Franka Miriam Brückler - Practicum
prof. dr. sc. Nenad Tomašić - Practicum
Take exam: Studomat
English level:


All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

1. komponenta

Lecture typeTotal
Lectures 15
Practicum 30
* Load is given in academic hour (1 academic hour = 45 minutes)
Derivation of point groups and possible crystal forms. Crystallometry (two-circle reflection goniometer), gnomonic, stereographic and parallel-perspective projections. Spherical trigonometry. Bravais lattices and space groups ? principles of derivation. Reciprocal lattice, explanation of X-ray diffraction. Principles of matrix algebra.

Learning outcomes:

Knowledge of main properties of stereographic and gnomonic projection and capability of their drawing;
Capability of crystal indexing by using gnomonic projection;
Knowledge and understanding of point and space group symbols;
Capability of determination of possible crystal forms for all point groups;
Understanding of space group inferring;
Capability of using point group data from International Tables for Crystallography;
Capability of mathematical defining of operations with Euclidian vectors, colinearity, complanarity and coordinates;
Capability of performing operations with Euclidian vectors and checking relations between objects in space using coordinates in general oblique coordinate systems;
Capability of determining order and generators of point group by using stereographic projection of symmetry elements and point in general position;
Capability of interpreting crystallographic concepts (lattice planes, Miller indices and Weiss parameters, zones and forms, symmetry, direct and reciprocal space and lattice, point and space groups) in mathematical way;
  1. Borchardt-Ott, W. (1995): Crystallography, Springer Verlag, Berlin, 307.
  2. Rousseau, J.-J. (1998): Basic crystallography, John Wiley & Sons, New York, 414 str.
  3. Klein, C. (2002): Mineral Science, John Wiley & Sons, New York, 641 str.
  4. Nesse, W.D. (2000): Introduction to mineralogy, Oxford University Press, Oxford
2. semester
Obvezni izborni kolegiji za Mineralogiju i petrologiju (ljetni semestar) - Regular study - Geology
Consultations schedule:


Link to the course web page: http://www.pmf.unizg.hr/geol/predmet/kri