Summary
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3.1 In a diamond lattice, each Si atom (with four valence electrons) is surrounded by four Si atoms that form four covalent bonds consisting of shared electron pairs, thereby forming an octet of electrons in the valence shell. In zinc blende structures such as GaAs, electrons are partly shared (covalent bonding) and partly transferred from Ga to As (ionic bonding).
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3.2 In crystals, electronic wavefunctions overlap to give various linear combinations of atomic orbitals (LCAO). Bonding or symmetric combinations of the wavefunctions of valence-shell electrons form (almost) continuous allowed bands of energies in the (almost) filled valence band, separated by an energy gap from higher energy states in an (almost) empty conduction band that ...
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