2003
DOI: 10.1002/qua.10821
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Long‐range interactions in embedded ionic cluster calculations

Abstract: ABSTRACT:The effect of long-range Coulomb interactions on bulk properties is studied for the ionic solids NaBr and NaCl. The embedded cluster approach in the framework of density functional theory is employed. The Madelung potential is calculated with the Evjen cube summation method. To explore the effects of the long-range interactions on the electron densities and the Madelung constant, the Evjen cube size is varied from 310 to 19650 point charges for 33 atom clusters. To study the size effect of the quantum… Show more

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Cited by 13 publications
(11 citation statements)
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“…Thus, LSDA was used to determine the structural characteristics including MgO bulk nearest‐neighbor distance, the relaxation and rumpling of the MgO(100) surface. LSDA and the cluster embedding approach have shown reliability in studying properties of rock‐salt‐structured ionic crystals 50. However, LSDA performs less effectively in predicting energies due to the inherent limitation of this approximation.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Thus, LSDA was used to determine the structural characteristics including MgO bulk nearest‐neighbor distance, the relaxation and rumpling of the MgO(100) surface. LSDA and the cluster embedding approach have shown reliability in studying properties of rock‐salt‐structured ionic crystals 50. However, LSDA performs less effectively in predicting energies due to the inherent limitation of this approximation.…”
Section: Resultsmentioning
confidence: 99%
“…To calculate the first nearest neighbor distance, a MgO‐33‐atom cluster embedded in an Evjen cube was used to model bulk MgO. A more detailed description of the procedures was published previously 50.…”
Section: Quantum Chemical Methodsmentioning
confidence: 99%
“…Physical applications of the neighbor shell concept include shell models to describe lattice vibrations (balls-and-springs approach to phonons [52]), tight-binding methods [53] to describe electronic properties of crystals, or electrostatic potential calculations based on point charges in ionic crystals [54]. Fig.…”
Section: Neighbor Shellsmentioning
confidence: 99%
“…For typical QM/MM calculations with large MM regions, the number of near-field NAIs that must be calculated by integral recurrence relations [20] is much smaller than the number of far-field NAIs. These far-field NAIs can be expressed to any desired accuracy by asymptotic integral expansions [17] of the form: ab|scriptA^D(0)A ~ mxmymz(1)mmx!my!mz!(Dx)mx(Dy)my(Dz)mz1|trueAtrueD| a+m|bfalse〉…”
Section: Recent Developments Of Demon2k That Permit Qm/mm Simulatimentioning
confidence: 99%