2000
DOI: 10.1002/(sici)1097-461x(2000)78:5<306::aid-qua3>3.0.co;2-m
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Derivation of atomistic models for lattices consisting of weakly overlapping structural elements

Abstract: ABSTRACT:A theoretical approach based on the arrow diagram technique within the group function theory is applied to an infinite crystal consisting of weakly overlapping structural elements (SE: ions, atoms, and molecules). A perturbation method is used to derive the lattice energy in terms of two-body, three-body, etc. types of interactions accompanied by electronic polarization of SEs for the system which is slightly away from some reference configuration. It is demonstrated how an atomistic model for the par… Show more

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Cited by 11 publications
(4 citation statements)
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“…This work along with a number of complementary studies (French et al 2001a(French et al ,b, 2003a(French et al ,b, 2004Bromley et al 2003;Catlow et al 2003Catlow et al , 2005aCatlow et al ,b, 2007Catlow et al , 2008Catlow et al , 2010Phala et al 2005;Sokol et al 2007) provided the first comprehensive computational survey of the atomistic and electronic mechanisms involved in methanol synthesis over the surfaces of pure ZnO and metal clusters supported on ZnO. Analogous methods by other groups have proved to be successful and accurate in the study of localized states and processes in a wide range of recent fundamental and applied studies (Nygren et al 1994;Mejias et al 1995;Llusar et al 1996;Rösch et al 1996;San Miguel et al 1998;de Carolis et al 1999;Kantorovich 1999Kantorovich , 2000aSushko et al 1999;Nasluzov et al 2001Nasluzov et al , 2010Karlsen et al 2003;Rivanenkov et al 2003;Danyliv & Kantorovich 2004;Mysovsky et al 2004;Seijo & Barandiarán 2004;Di Valentin et al 2006;Wang & Kantorovich 2006;Danyliv et al 2007;Giordano et al 2007;Sanz & Márquez 2007;Shor et al 2007Shor et al , 2009Kimmel et al 2008;Ramo et al 2008;Swerts et al 2008;He et al 2009;…”
Section: Hydrogen Dissociation Over Oxygen Terminated Polar Surface Omentioning
confidence: 99%
“…This work along with a number of complementary studies (French et al 2001a(French et al ,b, 2003a(French et al ,b, 2004Bromley et al 2003;Catlow et al 2003Catlow et al , 2005aCatlow et al ,b, 2007Catlow et al , 2008Catlow et al , 2010Phala et al 2005;Sokol et al 2007) provided the first comprehensive computational survey of the atomistic and electronic mechanisms involved in methanol synthesis over the surfaces of pure ZnO and metal clusters supported on ZnO. Analogous methods by other groups have proved to be successful and accurate in the study of localized states and processes in a wide range of recent fundamental and applied studies (Nygren et al 1994;Mejias et al 1995;Llusar et al 1996;Rösch et al 1996;San Miguel et al 1998;de Carolis et al 1999;Kantorovich 1999Kantorovich , 2000aSushko et al 1999;Nasluzov et al 2001Nasluzov et al , 2010Karlsen et al 2003;Rivanenkov et al 2003;Danyliv & Kantorovich 2004;Mysovsky et al 2004;Seijo & Barandiarán 2004;Di Valentin et al 2006;Wang & Kantorovich 2006;Danyliv et al 2007;Giordano et al 2007;Sanz & Márquez 2007;Shor et al 2007Shor et al , 2009Kimmel et al 2008;Ramo et al 2008;Swerts et al 2008;He et al 2009;…”
Section: Hydrogen Dissociation Over Oxygen Terminated Polar Surface Omentioning
confidence: 99%
“…From the beginning, a significant challenge of periodic models was their disability to describe charged and excited states of defects as well as their agglomerates; however, these problems, at least at the theoretical level, were formally solved 13–15. At the same time, despite the fast methodological development of cluster models (both embedded and molecular 7) for simulation of defects in solids 16, 17, they still face a serious challenge in the proper description of oxygen vacancies in metal oxides with chemical bonding of a partly covalent nature, especially in ternary (ABO 3 ) and more complicated oxides (both bulk and surface). Thus, for a consistent description of oxygen vacancies in a broad family of metal oxides, we choose here models with periodic boundary conditions 9.…”
Section: Introductionmentioning
confidence: 99%
“…[37][38][39][40][41][42][43] Our focus in the present work is on the implementation of this approach in the ChemShell package, 44,45 where the defect and immediately surrounding region (typically ∼100 atoms) are treated at a QM level of theory, using a Gaussian basis set and a hybrid functional for exchange and correlation to determine the electronic structure accurately. This cluster is embedded in a larger region (typically ∼10 000 atoms), which is treated at an MM level of theory using a polarizable shell model, to provide an accurate elastic and dielectric response of the infinite system to defect formation.…”
Section: Introductionmentioning
confidence: 99%