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New PDF release: Computational Chemistry of Solid State Materials

By Richard Dronskowski

ISBN-10: 3527314105

ISBN-13: 9783527314102

This can be the 1st e-book to offer either classical and quantum-chemical methods to computational equipment, incorporating the various new advancements during this box from the previous couple of years. Written particularly for "non"-theoretical readers in a without problems understandable and implemental kind, it comprises quite a few sensible examples of various levels of hassle. equally, using mathematical equations is lowered to a minimal, focusing simply on these very important for experimentalists. sponsored by way of many wide tables containing distinctive info for direct use within the calculations, this is often the suitable spouse for all these wishing to enhance their paintings in reliable country study.

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Example text

22 1 Classical Approaches ing part of the discussion. 4) where the Coulomb part goes back to the interaction between point charges (+1 and −1 for the case of NaCl) and e is the elementary charge; the repulsion term still needs to be specified. Interestingly, this repulsion term is also of quantum-mechanical origin, and it simply shows that it is impossible to push atoms into each other. 9) which forbids the too-close encounter of atoms, when their associated orbitals have already been completely filled; we can always expect such a scenario for the inner shells of any kind of atom.

2) still reveals electron–electron interactions to be present and the necessity for an iterative solution of H, but approximating Ψ by a set of ψi is indeed a good starting point because the electrons may be considered statistically independent of each other. 6) μ=1 μ∈A where the basis functions φμ (r) are atomic orbitals located on the atoms A; the atomic orbitals (AOs) are the solutions of Schrödinger’s equation for hydrogen-like atoms (one electron but arbitrary nuclear charge Z A ). There are also other ways to set up ψi but this ansatz already implies that the system’s molecular orbital(s) cannot be very far from the constituting atomic orbitals φμ .

Surprisingly, these dubbed MAPLE (Madelung part of lattice energy) calculations [26] show, for example, that the Coulomb energies of ternary (or quaternary) phases are often extremely close to the sum of the Coulomb energies of binary phases under the (questionable) assumption that the oxidation states are used as idealized charges. 76 Å; 18 210 kJ/mol) because “MgAl2 O4 = MgO + Al2 O3 ”. 4% of the sum of the Coulomb energies of the binaries! A huge number of other examples of this kind exist. Note, once and for all, that MAPLE values should not be compared with experimental lattice energies but, instead, with other MAPLE values as demonstrated before; the entire concept does not relate to observable quantities!

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Computational Chemistry of Solid State Materials by Richard Dronskowski

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