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Crystal Symmetry, X-Ray Diffraction and Physical Properties
Online
12 WeeksQuick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Important dates
Certificate Exam Date
Start Date : 19 Apr, 2026
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Kanpur |
The Syllabus
- Introduction to Crystallography: Common misconceptions, lattice, motif and crystals; translation vectors; unit cells; Miller indices of planes and directions; interplanar spacing, angular relationships between planes and directions
- Symmetry elements in crystallographic patterns; symmetry restrictions; introduction to mathematical groups, specifically crystallographic point groups
- Combining 2D point symmetry operations through (i) geometrical and (ii) matrix representation; developing the 10 crystallographic point groups in 2D
- Classification of 2D lattices based on symmetry; adding translation to 2D point groups; combining rotation, reflection and translation using geometry and matrices
- Derivation of the 17 plane groups; Decoding the International Tables for Crystallography-I; Combination of rotation axes in 3D
- Development of 3D point groups; Derivation of the Bravais Lattices; Space Groups, Screw Axis, Glide Planes; Decoding the International Tables for Crystallography-II
- X-Ray Diffraction: Laue Conditions and Braggs Law; Structure Factor
- Reciprocal Lattice: use for deriving the equations for interplanar spacing; representation of diffraction conditions in reciprocal lattice space; Decoding the International Tables for Crystallography-III
- Experimental Techniques of X-Ray Diffraction: applications
- Physical properties of crystals: representation by tensors; transformation of tensors; extend to other second rank tensor properties
- Electrical Conductivity of crystals: second-rank tensor property; extend to other second rank tensor properties, such as,:thermal conductivity, thermal expansion
- Third rank tensor property: piezoelectricity; Fourth rank tensor property: elastic stiffness and elastic compliance
Instructors
Articles
31 Aug'25, 03:44 PM
17 Jun'25, 10:59 AM
28 Feb'24, 08:51 AM
28 Feb'24, 07:16 AM
31 Aug'25, 03:44 PM
17 Jun'25, 10:59 AM
28 Feb'24, 08:51 AM
28 Feb'24, 07:16 AM