Structure of diamond: covalent bonds and their hybridizationĨ.3. Extending the permitted band from 1D to 3D for a lattice of atoms associated with single s-orbital nodes (basic cubic system, centered cubic, etc.)Ĩ.2. Practical example of a periodic atomic chain: concrete calculations of wave functions, energy levels, state density functions and band fillingĬhapter 8: Strong Bonds in Three Dimensions: Band Structure of Diamond and SiliconĨ.1. State density function and applications: the Peierls metal-insulator transitionħ.6. Form of the wave function in strong bonds: Floquet’s theoremħ.5. Direct and reciprocal lattices of the fcc structureĦ.3. Filling Fermi surfaces and the distinctions between insulators, semiconductors and metalsĬhapter 6: Electronic Properties of Copper and SiliconĦ.2. The Fermi surface: construction of surfaces and propertiesĥ.10. Importance of the reciprocal lattice and electron filling of Brillouin zones by electrons in insulators, semiconductors and metalsĥ.9. ![]() Example determinations of Brillouin zones and reduced zonesĥ.8. Conditions for maximum diffusion by a crystal (Laue conditions)ĥ.7. Semi-free electrons in the particular case of super latticesĬhapter 5: Crystalline Structure, Reciprocal Lattices and Brillouin Zonesĥ.3. Distinguishing insulators, semiconductors, metals and semi-metalsĤ.5. ![]() Expression for energy states close to the band extremum as a function of the effective massĤ.4. Complementary material: the main equationĬhapter 4: Properties of Semi-Free Electrons, Insulators, Semiconductors, Metals and SuperlatticesĤ.3. Alternative presentation of the origin of band systems via the perturbation methodģ.5. From electrons in a 3D system (potential box)Ĭhapter 3: The Origin of Band Structures within the Weak Band Approximationģ.4. ![]() State density function represented in energy space for free electrons in a 1D systemĢ.6. several orders greater than inter-atomic distancesĢ.5. Solutions that favor propagation: wide potential wells where L ≈ 1 mm, i.e. Study of the stationary regime for asymmetric wells (1D model) with L ≈ a favoring the establishment of a stationary regime with nodes at extremitiesĢ.4. Study of the stationary regime of small scale (enabling the establishment of nodes at extremities) symmetric wells (1D model)Ģ.3. Complementary material: basic evidence for the appearance of bands in solidsĬhapter 2: The Free Electron and State Density FunctionsĢ.2. Bonds in solids: a free electron as the zero order approximation for a weak bond and strong bondsġ.4. Chapter 1: Introduction: Representations of Electron-Lattice Bondsġ.3.
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