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Contents
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| Week 1: |
INTRODUCTION -
1.1 Outline
1.2 Structure–property relationships
1.3 Symmetry of physical properties
1.4 Atomistic arguments: Density
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| Week 2: |
TRANSFORMATIONS -
2.1 Why transformations?
2.2 Axis transformations
2.3 Orthogonality conditions
2.4 General rotation (Eulerian angles)
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| Week 3: |
SYMMETRY -
3.1 Symmetry operations
3.2 Symmetry elements and stereographic projections
3.3 Point groups and their stereograms
3.4 Crystallographic nomenclature
3.5 Point group populations |
| Week 4: |
TRANSFORMATION OPERATORS FOR SYMMETRY ELEMENTS -
4.1 Transformation operators for the crystallographic symmetry elements
4.2 Transformation operations for the thirty-two crystal classes
4.3 Standard settings
4.4 Curie group symmetries |
| Week 5: |
TENSORS AND PHYSICAL PROPERTIES -
5.1 Physical properties
5.2 Polar tensors and tensor properties
5.3 Axial tensor properties
5.4 Geometric representations
5.5 Neumann’s Principle
5.6 Analytical form of Neumann’s Principle |
| Week 6: |
THERMODYNAMIC RELATIONSHIPS -
6.1 Linear systems
6.2 Coupled interactions: Maxwell relations
6.3 Measurement conditions
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| Week 7: |
SPECIFIC HEAT AND ENTROPY -
7.1 Heat capacity of solids
7.2 Lattice vibrations
7.3 Entropy and the magnetocaloric effect
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| Week 8: |
PYROELECTRICITY -
8.1 Pyroelectric and electrocaloric tensors
8.2 Symmetry limitations
8.3 Polar axes
8.4 Geometric representation
8.5 Pyroelectric measurements
8.6 Primary and secondary pyroelectric effects
8.7 Pyroelectric materials
8.8 Temperature dependence
8.9 Applications |
| Week 9: |
MIDTERM EXAM
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| Week 10: |
DIELECTRIC CONSTANT -
9.1 Origins of the dielectric constant
9.2 Dielectric tensor
9.3 Effect of symmetry
9.4 Experimental methods
9.5 Geometric representation
9.6 Polycrystalline dielectrics
9.7 Structure–property relationships
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| Week 11: |
STRESS AND STRAIN -
10.1 Mechanical stress
10.2 Stress transformations
10.3 Strain tensor
10.4 Matrix transformation for strain |
| Week 12: |
THERMAL EXPANSION -
11.1 Effect of symmetry
11.2 Thermal expansion measurements
11.3 Structure–property relations
11.4 Temperature dependence
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| Week 13: |
PIEZOELECTRICITY -
12.1 Tensor and matrix formulations
12.2 Matrix transformations and Neumann’s Law
12.3 Piezoelectric symmetry groups
12.4 Experimental techniques
12.5 Structure–property relations
12.6 Hydrostatic piezoelectric effect
12.7 Piezoelectric ceramics
12.8 Practical piezoelectrics: Quartz crystals |
| Week 14: |
ELASTICITY -
13.1 Tensor and matrix coefficients
13.2 Tensor and matrix transformations
13.3 Stiffness-compliance relations
13.4 Effect of symmetry
13.5 Engineering coefficients and measurement methods
13.6 Anisotropy and structure–property relations
13.7 Compressibility
13.8 Polycrystalline averages
13.9 Temperature coefficients
13.10 Quartz crystal resonators
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| Week 15*: |
General review |
| Week 16*: |
FINAL EXAM |
| Textbooks and materials: |
* Properties of Materials - Anisotropy, Symmetry, Structure, Robert E. Newnham, Oxford University Press Inc., New York, 2005
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| Recommended readings: |
* Physical Properties of Crystals, J.F. Nye, Oxford University Press, 1957
* Tensor Properties of Solids - Phenomenological Development of the Tensor Properties of Crystals, Richard F. Tinder, Morgan & Claypool, 2008 |
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* Between 15th and 16th weeks is there a free week for students to prepare for final exam.
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