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Computational scheme to determine local vibrations of large systems using elongation method. Theor Chem Acc 2016. [DOI: 10.1007/s00214-016-2030-6] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Niklasson AMN, Mniszewski SM, Negre CFA, Cawkwell MJ, Swart PJ, Mohd-Yusof J, Germann TC, Wall ME, Bock N, Rubensson EH, Djidjev H. Graph-based linear scaling electronic structure theory. J Chem Phys 2016; 144:234101. [DOI: 10.1063/1.4952650] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | - Susan M. Mniszewski
- Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Christian F. A. Negre
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Marc J. Cawkwell
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Pieter J. Swart
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Jamal Mohd-Yusof
- Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Timothy C. Germann
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Michael E. Wall
- Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Nicolas Bock
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Emanuel H. Rubensson
- Division of Scientific Computing, Department of Information Technology, Uppsala University, Box 337, SE-751 05 Uppsala, Sweden
| | - Hristo Djidjev
- Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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Fripiat JG, Champagne B, Harris FE. The Fourier Space Restricted Hartree–Fock Method for the Electronic Structure Calculation of One-Dimensionally Periodic Systems. ADVANCES IN QUANTUM CHEMISTRY 2015. [DOI: 10.1016/bs.aiq.2015.03.003] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Zhang IY, Jiang J, Gao B, Xu X, Luo Y. RRS-PBC: a molecular approach for periodic systems. Sci China Chem 2014. [DOI: 10.1007/s11426-014-5183-y] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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A modified localization scheme for the three-dimensional elongation method applied to large systems. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.02.039] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Liu K, Inerbaev T, Korchowiec J, Gu FL, Aoki Y. Geometry optimization for large systems by the elongation method. Theor Chem Acc 2012. [DOI: 10.1007/s00214-012-1277-9] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Torras J, Casanovas J, Alemán C. Reviewing Extrapolation Procedures of the Electronic Properties on the π-Conjugated Polymer Limit. J Phys Chem A 2012; 116:7571-83. [DOI: 10.1021/jp303584b] [Citation(s) in RCA: 86] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Juan Torras
- Departament d’Enginyeria
Química, Escola d’Enginyeria d’Igualada, Universitat Politècnica de Catalunya, Pça
Rei 15, Igualada 08700, Spain
| | - Jordi Casanovas
- Departament de Química,
Escola Politècnica Superior, Universitat de Lleida, c/Jaume II no. 69, Lleida E-25001, Spain
| | - Carlos Alemán
- Departament d’Enginyeria
Química, E. T. S. d’Enginyeria Industrial de Barcelona, Universitat Politècnica de Catalunya, Diagonal
647, Barcelona E-08028, Spain
- Centre for Research in Nano-Engineering, Universitat Politècnica de Catalunya, Campus
Sud, Edifici C’, C/Pasqual i Vila s/n, Barcelona E-08028, Spain
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Arce JC, Perdomo-Ortiz A, Zambrano ML, Mujica-Martínez C. Envelope molecular-orbital theory of extended systems. I. Electronic states of organic quasilinear nanoheterostructures. J Chem Phys 2011; 134:104103. [PMID: 21405152 DOI: 10.1063/1.3559148] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A conceptually appealing and computationally economical course-grained molecular-orbital (MO) theory for extended quasilinear molecular heterostructures is presented. The formalism, which is based on a straightforward adaptation, by including explicitly the vacuum, of the envelope-function approximation widely employed in solid-state physics leads to a mapping of the three-dimensional single-particle eigenvalue equations into simple one-dimensional hole and electron Schrödinger-like equations with piecewise-constant effective potentials and masses. The eigenfunctions of these equations are envelope MO's in which the short-wavelength oscillations present in the full MO's, associated with the atomistic details of the molecular potential, are smoothed out automatically. The approach is illustrated by calculating the envelope MO's of high-lying occupied and low-lying virtual π states in prototypical nanometric heterostructures constituted by oligomers of polyacetylene and polydiacetylene. Comparison with atomistic electronic-structure calculations reveals that the envelope-MO energies agree very well with the energies of the π MO's and that the envelope MO's describe precisely the long-wavelength variations of the π MO's. This envelope MO theory, which is generalizable to extended systems of any dimensionality, is seen to provide a useful tool for the qualitative interpretation and quantitative prediction of the single-particle quantum states in mesoscopic molecular structures and the design of nanometric molecular devices with tailored energy levels and wavefunctions.
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Affiliation(s)
- J C Arce
- Departamento de Química, Universidad del Valle, Cali, Colombia.
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Yan LK, Pomogaeva A, Gu FL, Aoki Y. Theoretical study on nonlinear optical properties of metalloporphyrin using elongation method. Theor Chem Acc 2009. [DOI: 10.1007/s00214-009-0669-y] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Pomogaeva A, Springborg M, Kirtman B, Gu FL, Aoki Y. Band structures built by the elongation method. J Chem Phys 2009; 130:194106. [DOI: 10.1063/1.3131262] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Electronic structures and nonlinear optical properties of supramolecular associations of benzo-2,1,3-chalcogendiazoles by the elongation method. Theor Chem Acc 2009. [DOI: 10.1007/s00214-009-0576-2] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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