課程大綱 Syllabus |
學生學習目標 Learning Objectives |
單元學習活動 Learning Activities |
學習成效評量 Evaluation |
備註 Notes |
序 No. | 單元主題 Unit topic |
內容綱要 Content summary |
1 | Introduction |
Outline of polar and axial tensor properties of rank 0, 1, 2, 3, 4 |
General review of the structure-property relationships |
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2 | Coordinates transformations |
Fundamentals of axis transformation |
As a basis for calculating physical property in any one direction |
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3 | Coordinates transformations |
Orthogonality relations |
Relationship associated with coordinates transformation |
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4 | Symmetry of crystal structure |
Macroscopic symmetry elements, stereographic projection |
Review of basic crystallography |
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5 | Symmetry of crystal structure |
point groups and realted nomenclature |
Introducing 32 point groups (crystal classes) to classify all single crystals |
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6 | Transformation of operators for symmetry elements |
Transformation operations for the 32 point groups |
Determination of transformation matrices for any selected crystallographic symmetry operation |
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7 | Tensors and physical properties |
Tensors and transformation law for a tensor of rank n |
Understanding tensors and tensor transformation |
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8 | Tensors and physical properties |
Neumann's principle |
To learn the most important principle in crystal physics and its implication |
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9 | Midterm exam |
Including the contents from the first week to the eighth week |
Evaluate what students have learned for the first eight weeks |
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10 | Pyroelectricity in crystals |
Pyroelectric tensors, geometric representation |
Pyroelectricity as an example for first rank tensor |
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11 | Pyroelectricity in crystals |
Primary and secondary pyroelectric effects, pyroelectric materials |
More topics about pyroelectricity |
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12 | Dielectric constants in crystals |
Origins of dielectric constant, dielectric tensors, effect of symmetry |
Dielectric constant as an example for second rank tensor |
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13 | Dielectric constants in crystals |
Geometric representation of dielectric constant, polycrystalline dielectrics |
To learn more about dielectric constant |
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14 | Stress and strain tensors |
Tensor and matrix transformation of stress and strain tensors |
Understanding tensor and matrix representation of stress and strain tensors and their transformation |
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15 | Piezoelectricity in crystals |
Tensor and matrix formulations of piezoelectricity, tensor and matrix transforamtion of piezoelectricity |
Piezoelectricity as an example for third rank tensor |
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16 | Piezoelectricity in crystals |
Piezoelectric symmetry groups, hydrostatic piezoelectric effect, piezoelectric ceramics |
Piezoelectricity and its engineering application |
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17 | Elasticity in crystals |
Tensor and matrix formulation of elasticity and their transforamtion, Effect of symmetry, polycrystalline average |
Elasticity as an example for fourth rank tensor |
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18 | Final exam |
Including the contents after the midterm |
Evaluate what students have learned for the second half term |
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