Course code:
1131A		 Course name:
Fundamentals of Geometric Crystallography

Academic year:

2012/2013.

Attendance requirements:

There are no requirements.

ECTS:

4

Study level:

basic academic studies

Study programs:

Chemistry: 1. year, summer semester, elective (1IP1H) course

Biochemistry: 1. year, summer semester, elective (1IP1B) course

Chemistry Teacher: 1. year, summer semester, elective (1IP1P) course

Environmental Chemistry: 1. year, summer semester, elective (1IP1S) course

Teacher:

Tamara R. Todorović, Ph.D.
full professor, Faculty of Chemistry, Studentski trg 12-16, Beograd

Assistant:

Božidar R. Čobeljić, Ph.D.
associate professor, Faculty of Chemistry, Studentski trg 12-16, Beograd

Hours of instruction:

Weekly: one hour of lectures + two hours of exercises (1+2+0)

Goals:

This course is designed to focus on symmetry elements and symmetry operations and its aim is to provide the students with the minimum background in Crystallography and to prepare them for better comprehension of some graduate/postgraduate courses.

Outcome:

Students are skilled to operate with symmetry elements, and prepared for better comprehension of different graduate/postgraduate courses.

Teaching methods:

Lectures, theoretical/calculating exercises.

Extracurricular activities:

Homework.

Coursebooks:

Main coursebooks:

  • B. Prelesnik: Fundamentals of Crystallography and X-ray analysis, script for internal usage
  • Lj. Karanović, D. Poleti: X-ray analysis, Zavod za udžbenike i nastavna sredstva, Belgrade, 2003.
  • B. Prelesnik, K. Anđelković, D. Radanović, T. Todorović: A Collection of Illustrative Problems in Crystallography and X-ray analysis, Faculty of Chemistry, Belgrade, 2007.

Supplementary coursebooks:

  • C. Giacovazzo: An interactive book on general crystallography, Oxford University Press, 2002.
  • A. R. West: Solid State Chemistry and its Applications, John Willey & Sons, 1990.

Additional material:

—

  Course activities and grading method

Lectures:

5 points (1 hour a week)

Syllabus:

1. Physical conditions of substances. Specificities of the solid state. Crystals. Periodicity in crystals.

2-3. Symmetry. Symmetry operations.

4. Symmetry elements (center of inversion, plane of symmetry, proper axes of symmetry.

5. Improper axes of symmetry (rotoinversion and rotoreflection axes).

6. Screw axes.

7. Glide planes.

8. The motif arrangement and the motif repetition.

9. Crystal lattice, unit-cell.

10. Point group symmetry.

11. Crystal systems.

12. Bravais lattices.

13. Plane lattices. Space lattices.

14. The space groups.

15. Packing in crystals.

Exercises:

15 points (2 hours a week)

Syllabus:

1. Symmetry.

2-3. Symmetry operations.

4-6. Symmetry elements.

7. The motif arrangement and the motif repetition.

8. Unit-cell.

9. Point groups.

10. Crystal classes and crystal systems.

11. Bravais lattices. Crystal lattice models.

12. The space groups.

13. Packing efficiency in crystal structures.

14. The morphological features of crystals (observing) and  measuring a crystal density by flotation method (experimental exercises).

15. Summary of acquired knowledge from Elementary Geometrical Crystallography.

Colloquia:

50 points

Homework:

0 points

Oral exam:

30 points