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    Quick Facts

    Medium Of InstructionsMode Of LearningMode Of Delivery
    EnglishSelf StudyVideo and Text Based

    Courses and Certificate Fees

    Fees InformationsCertificate AvailabilityCertificate Providing Authority
    INR 1000yesIIT 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

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