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COLLADO JRALVAREZ. ON THE DIAGONALIZATION OF HERMITIAN MATRICES, AND ITS USE TO CALCULATE THE HÜCKEL ELECTRONIC STRUCTURE OF LARGE CARBON NANOTUBES. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2011. [DOI: 10.1142/s0219633607003106] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In this paper, a method for calculating all the Hückel molecular orbitals (MO) of large (16.000 atoms) carbon zigzag nanotubes is presented. These MO have been obtained by combining the singular value decomposition (SVD), the Sylvester–Hadamard transform, and the theory of Hamiltonian–Symplectic matrices. Numerical diagonalization of hermitian matrices is reviewed and improved. A new, more advantageous, (tri-diagonal) algorithm is proposed and analyzed. The reactivity of the atoms is described by calculating their free valence indices.
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Affiliation(s)
- J. R. ALVAREZ COLLADO
- Departamento de Química Física Aplicada, Universidad Autónoma de Madrid, Madrid 28049, Spain
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Electronic structure properties of carbon nanotubes obtained by density functional calculations. Chem Phys Lett 2005. [DOI: 10.1016/j.cplett.2005.06.060] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Udomvech A, Kerdcharoen T, Osotchan T. First principles study of Li and Li+ adsorbed on carbon nanotube: Variation of tubule diameter and length. Chem Phys Lett 2005. [DOI: 10.1016/j.cplett.2005.02.084] [Citation(s) in RCA: 79] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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