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Continuous approximation for linear combination coefficients: Exploring a neglected concept

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Autor(es):
de Carvalho, Pedro Oliveira Mariz ; Custodio, Rogerio
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: COMPUTATIONAL AND THEORETICAL CHEMISTRY; v. 1242, p. 7-pg., 2024-11-05.
Resumo

An alternative approach is introduced for accurately describe atomic orbitals using an integral transform of Gaussian-type basis functions (GTO) combined with continuous and analytical weight functions. The functional form of these weight functions was optimized using the variational criterion, achieving mu Hartree-level precision in energy calculations for atoms, monovalent ions up to the third period of the periodic table, and the H2 molecule. However, errors increased for heavier atoms, such as sulfur and chlorine, indicating the need for further refinement of the weight functions. This approach enhances the accuracy of electronic structure calculations, offering a rigorous alternative for deriving one-electron wave functions from discrete basis sets and viceversa for atoms and molecules. (AU)

Processo FAPESP: 13/08293-7 - CECC - Centro de Engenharia e Ciências Computacionais
Beneficiário:Munir Salomao Skaf
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
Processo FAPESP: 17/11485-6 - Desenvolvimentos computacionais e teóricos baseados em métodos ab initio e na Teoria do Funcional de Densidade
Beneficiário:Rogério Custodio
Modalidade de apoio: Auxílio à Pesquisa - Regular