| 0.Introduction |
0.5 |
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| 1.Crystal Structure |
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| (1) Periodic Arrays of Atoms |
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| (2) Fundamental Types of Lattices |
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| (3) Index System for Crystal Planes |
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| (4) Simple Crystal Structures |
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| (5) Direct Image of Atomic Structure |
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| (6) Non Ideal Crystal Structures |
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| In the first chapter, students learn how crystals are systematised, e.g., the point symmetry |
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| groups in three dimensions require 14 fundamental types of lattices. Among these types, the |
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| students explore briefly a few simple crystal structures of general interest. Then, they |
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| understand the index system for crystal structures in order to specify a crystal plane. |
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| 2. Crystal Diffraction and the Reciprocal Lattice |
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| (1) Diffraction of Waves by Crystals |
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| (2) Scattered Wave Amplitude |
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| (3) Brillouin Zone |
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| (4) Fourier Analysis of the Basis |
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| In the second chapter, the students learn the Bragg law, which tells us that the diffracted beams |
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| are found when θ and λ satisfy specific conditions. Further, they understand X-ray diffraction |
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| by means of the reciprocal lattice vectors and the Brillouin zone. |
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