Part 1: Pre-Midsemester
Fundamentals
- Types of bonds
- Coordination number
- Packing fraction
- Order and disorder
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2
Symmetry & Group Theory
- Crystalline state - Symmetry and basics of group theory
- Various symmetry operations and Schönflies notations
- Point groups; Platonic solids and their point groups
- Stereographic projection of point groups
Crystallography & Lattices
- Introduction to Crystallography
- Hermann-Mauguin (International) notations
- 2D lattices; plane groups; analytical representation
- 3D structures: derivation of 14 Bravais lattices and space groups
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Mid-Semester Exam
Part 2: Post-Midsemester
4
Advanced Crystallography & XRD
- Intro to International Tables for Crystallography (ITC)
- Introduction to reciprocal lattices
- Miller indices & systemic absences in XRD
- Determination of structures using XRD
Real Crystal Structures
- Review of common crystal structures in metals (fcc, bcc, hcp)
- Structures in ceramics (rock salt, zinc blende, wurtzite, spinel, perovskite)
- Ordered structures
- Close-sphere packing and Pauling’s rules
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Defects & Properties
- Crystal Structure-Physical Property relations
- Point defects: vacancies, solutes, Kroger Vink notations
- Line defects: dislocations, partials
- Planar defects: stacking faults, twins, grain boundaries
- 3D defects: precipitates, voids
- Microstructure-Property Relations
End-Semester Exam