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The electronic structure of an atom or molecule is the quantum state of its electrons. [13] The first step in solving a quantum chemical problem is usually solving the Schrödinger equation (or Dirac equation in relativistic quantum chemistry) with the electronic molecular Hamiltonian, usually making use of the Born–Oppenheimer (B–O ...
The simplest type of ab initio electronic structure calculation is the Hartree–Fock (HF) scheme, in which the instantaneous Coulombic electron-electron repulsion is not specifically taken into account. Only its average effect (mean field) is included in the calculation.
Density functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate the electronic structure (or nuclear structure) (principally the ground state) of many-body systems, in particular atoms, molecules, and the condensed phases.
The name originates from Pople's use of Gaussian orbitals to speed up molecular electronic structure calculations as opposed to using Slater-type orbitals, a choice made to improve performance on the limited computing capacities of then-current computer hardware for Hartree–Fock calculations.
Dynamical mean-field theory (DMFT) is a method to determine the electronic structure of strongly correlated materials.In such materials, the approximation of independent electrons, which is used in density functional theory and usual band structure calculations, breaks down.
The KKR method does have a few “bills” to pay, e.g., (1) the calculation of KKR structure constants, the empty lattice propagators, must be carried out by the Ewald's sums for each energy and k-point, and (2) the KKR functions have a pole structure on the real energy axis, which requires a much larger number of k points for the Brillouin ...
Such a calculation in the Gaussian and Spartan programs also give the MP2 and MP4 energies which are also used. The effect of polarization functions is assessed using an MP4 calculation with the 6-311G(2df,p) basis set. The effect of diffuse functions is assessed using an MP4 calculation with the 6-311+G(d, p) basis set.
Quantum chemistry computer programs are used in computational chemistry to implement the methods of quantum chemistry.Most include the Hartree–Fock (HF) and some post-Hartree–Fock methods.