Approximate exchange energy as a functional of the electron density. Light atoms
نویسندگان
چکیده
We derive an expression for the exchange energy integral in terms of the density for the case of light atoms containing sand p electrons. We start from an approximate functional form of the density matrix for an electron cloud in the presence of an attractive nucleus. An important restriction to consider is the Pauli principle. A correction factor is included to account for the multipole expansion in an average way. The results we obtain. both for closed and open shel1s. are within a few percent of the exact exchange integral.
منابع مشابه
Investigation of Nickle nanoclusters properties by density functional theory
Clusters play important role for understanding and transferring microscopic to macroscopic properties.Geometric and electron properties of Small nickel clusters up to the tetramer has been investigated by Density Functional Theory (DFT). Raising the number of nickel clusters atoms were indicated decreasing the average equilibrium (Ni-Ni) distance of atoms and also the binding energy of per atom...
متن کاملAdsorption of ozone molecules on AlP-codoped stanene nanosheet: A density functional theory study
Density functional theory calculations were carried out to investigate the structural and electronicproperties of the adsorption of O3 molecules on AlP-codoped monolayers to fully exploit the gas sensingcapability of these two-dimensional materials. Various adsorption sites of O3 molecule on the considerednanosheets were examined in detail. The side oxygen atoms of the O3 mole...
متن کاملبررسی خواص ساختاری و الکترونی بلورCaS
The electronic and structural properties of CaS are calculated using full potential linearized augmented plane wave (FP-LAPW) method within the local density approximation (LDA) and generalized gradient approximation (GGA) for the exchange-correlation energy. For both structures, NaCl structure (B1) and CsCl structure (B2), the obtained values for lattice parameters, Bulk modulus and its pres...
متن کاملElectronic Zero-Point Oscillations in the Strong-Interaction Limit of Density Functional Theory.
The exchange-correlation energy in Kohn-Sham density functional theory can be expressed exactly in terms of the change in the expectation of the electron-electron repulsion operator when, in the many-electron Hamiltonian, this same operator is multiplied by a real parameter λ varying between 0 (Kohn-Sham system) and 1 (physical system). In this process, usually called adiabatic connection, the ...
متن کاملTheoretical Study of stereoelectronic effects of Boron Nitride Nanotubes in interaction with 7-hydroxy phenothiyazine 3-one sulphure dye by electron density functional theory
In this study interaction of phenothiazine sulfur dye with (5, 5) armchair open-end boron nitride nanotubes (BNNTs) in interaction (with a length of 7 Å) was investigated. The impacts of the estereoelectronic effect associated with donor-acceptor electron delocalizations, dipole-dipole interactions and total steric exchange energies on the structural and electronic properties and reactivity of ...
متن کامل