Quantum chemistry of solids : the LCAO first principles treatment of crystals
2007
From the contents Introduction.- Part 1 Theory: Symmetry of Periodic Solids. LCAO Hartree-Fock and Density Functional Methods.- Space groups and crystal structure. Irreducible representations of space groups.- Site symmetry and induced representations of point and space groups.- Use of the space symmetry groups in LCAO methods.- One electron and one determinant approximations for crystals.- Hartree-Fock-Roothaan (LCAO) method for periodic solids.- DFT LCAO methods for periodic solids.- Part 2 Applications: LCAO calculations of a bulk crystal properties, point defects and surfaces. Band structure, optical properties and density of states in bulk crystals. Crystal structure optimization in LCAO methods.- Localized orbitals in crystals. Chemical bonding in periodic solids.- LCAO calculations of magnetic ordering in transition metal oxides.- Wannier functions and Berry phase.- Molecular Cluster model of defective crystal. Point defects in ionic solids.- Supercell model of defective crystal. Point defects in semiconductors.- Single and Repeating slab models of surface.- LCAO surface calculations on rutile and perovskite crystals.- Molecular cluster models of adsorption.
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