Computational quantum chemistry: an interactive guide to basis set theory
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
San Diego, Calif.
Academic Press
c2002
|
Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Includes bibliographical references (p. [229]-230) and index Machine generated contents note: 1 Essential atomic orbital theory -- 11 Atomic orbitals for the hydrogen atom -- 12 Radial distribution functions for the hydrogen atom -- 13 Radial wave functions for many-electron atoms -- 14 Slater-type orbitals -- 15 Gaussian-type functions-the Isto-3g) minimal basis set -- 16 isto-ng) basis sets -- 17 Scaling factors -- 18 The (4s/2s) basis set, polarization and scaling factors for molecular -- environments -- 19 Gaussian-lobe and other Gaussian basis sets -- 2 Numerical integration -- 21 Numerical integration -- 22 Application of Simpson's rule to calculate a normalization integral -- 23 Calculations of normalization constants over the angular coordinates -- 24 Numerical integration in a cylindrical volume: diatomic and linear -- molecular geometries -- 25 Calculation of the overlap integral between Is orbitals in a Gaussian -- basis -- 26 Designing Gaussian basis sets to model Slater orbitals -- 3 Orthonormality -- - 31 Orthonormality in Slater orbital and basis set theory -- 32 Orthonormality and Slater orbitals -- 33 Orthonormality and Gaussian orbitals -- 34 Orthonormality and double-zeta Slater orbitals -- 35 Orthonormality and split-basis or double-zeta Gaussian basis sets -- 36 The Jacobi transformation, diagonalization of a symmetric matrix and -- canonical orthogonalization -- 37 The S-1/2 'trick' -- 38 Symmetric orthonormalization -- 4 The hydrogen atom -numerical solutions -- 41 Eigenvalue calculations for hydrogen based on analytical functions -- 42 Calculations using Slater orbitals -- 43 Calculations with Gaussian functions -- 44 Calculations with split-basis [split-valence] sets -- 45 Review of results for the ls and 2s orbital energies in hydrogen -- 5 The helium atom and the self-consistent field -- 51 Hartree's analysis of the helium atom problem -- 52 Calculations with modified hydrogen atom wave functions -- 53 The Hall-Roothaan equations, the orbital approximation and -- - the modem Hartree-Fock self-consistent field method -- 54 Calculations using Slater DZ functions -- 55 Gaussian basis set calculations for the helium atom-two-electron -- integrals over Gaussian basis functions -- 56 A HFS-SCF calculation with split-basis 14-31) for helium -- 57 Helium, singlet and triplet excited states, electron spin and the role -- of the Exchange integral -- 6 One- and two-electron diatoms -- 61 Calculations using hydrogen Is orbitals -- 62 Sto-3g calculations for H2+ -- 63 Calculations using Gaussian basis sets with the exact evaluation of -- integrals using Fourier transforms -- 64 Calculations involving the two-electron terms; the Isto-3g) -- HF-SCF results for dihydrogen -- 65 The standard form for the results of HFS-SCF calculations -- 66 The Isto-3g) HFS-SCF calculation for HeH+ -- 67 Polarization functions, Gaussian lobes and higher-order Gaussian -- basis sets -- 68 Epilogue This textbook is an interactive learning tool in which the power of EXCEL spreadsheet technology is applied to make plain the fundamentals of basis set theory in atomic and molecular orbital calculations. Spreadsheet calculations are provided on the accompanying CD-ROM. |
Beschreibung: | 1 Online-Ressource (viii, 237 p.) |
ISBN: | 0080488536 9780080488530 |
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500 | |a Includes bibliographical references (p. [229]-230) and index | ||
500 | |a Machine generated contents note: 1 Essential atomic orbital theory -- 11 Atomic orbitals for the hydrogen atom -- 12 Radial distribution functions for the hydrogen atom -- 13 Radial wave functions for many-electron atoms -- 14 Slater-type orbitals -- 15 Gaussian-type functions-the Isto-3g) minimal basis set -- 16 isto-ng) basis sets -- 17 Scaling factors -- 18 The (4s/2s) basis set, polarization and scaling factors for molecular -- environments -- 19 Gaussian-lobe and other Gaussian basis sets -- 2 Numerical integration -- 21 Numerical integration -- 22 Application of Simpson's rule to calculate a normalization integral -- 23 Calculations of normalization constants over the angular coordinates -- 24 Numerical integration in a cylindrical volume: diatomic and linear -- molecular geometries -- 25 Calculation of the overlap integral between Is orbitals in a Gaussian -- basis -- 26 Designing Gaussian basis sets to model Slater orbitals -- 3 Orthonormality -- | ||
500 | |a - 31 Orthonormality in Slater orbital and basis set theory -- 32 Orthonormality and Slater orbitals -- 33 Orthonormality and Gaussian orbitals -- 34 Orthonormality and double-zeta Slater orbitals -- 35 Orthonormality and split-basis or double-zeta Gaussian basis sets -- 36 The Jacobi transformation, diagonalization of a symmetric matrix and -- canonical orthogonalization -- 37 The S-1/2 'trick' -- 38 Symmetric orthonormalization -- 4 The hydrogen atom -numerical solutions -- 41 Eigenvalue calculations for hydrogen based on analytical functions -- 42 Calculations using Slater orbitals -- 43 Calculations with Gaussian functions -- 44 Calculations with split-basis [split-valence] sets -- 45 Review of results for the ls and 2s orbital energies in hydrogen -- 5 The helium atom and the self-consistent field -- 51 Hartree's analysis of the helium atom problem -- 52 Calculations with modified hydrogen atom wave functions -- 53 The Hall-Roothaan equations, the orbital approximation and -- | ||
500 | |a - the modem Hartree-Fock self-consistent field method -- 54 Calculations using Slater DZ functions -- 55 Gaussian basis set calculations for the helium atom-two-electron -- integrals over Gaussian basis functions -- 56 A HFS-SCF calculation with split-basis 14-31) for helium -- 57 Helium, singlet and triplet excited states, electron spin and the role -- of the Exchange integral -- 6 One- and two-electron diatoms -- 61 Calculations using hydrogen Is orbitals -- 62 Sto-3g calculations for H2+ -- 63 Calculations using Gaussian basis sets with the exact evaluation of -- integrals using Fourier transforms -- 64 Calculations involving the two-electron terms; the Isto-3g) -- HF-SCF results for dihydrogen -- 65 The standard form for the results of HFS-SCF calculations -- 66 The Isto-3g) HFS-SCF calculation for HeH+ -- 67 Polarization functions, Gaussian lobes and higher-order Gaussian -- basis sets -- 68 Epilogue | ||
500 | |a This textbook is an interactive learning tool in which the power of EXCEL spreadsheet technology is applied to make plain the fundamentals of basis set theory in atomic and molecular orbital calculations. Spreadsheet calculations are provided on the accompanying CD-ROM. | ||
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Datensatz im Suchindex
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any_adam_object | |
author | Quinn, Charles M. |
author_facet | Quinn, Charles M. |
author_role | aut |
author_sort | Quinn, Charles M. |
author_variant | c m q cm cmq |
building | Verbundindex |
bvnumber | BV043108990 |
collection | ZDB-4-EBA |
ctrlnum | (OCoLC)146613800 (DE-599)BVBBV043108990 |
dewey-full | 541.2/8/0285 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 541 - Physical chemistry |
dewey-raw | 541.2/8/0285 |
dewey-search | 541.2/8/0285 |
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dewey-tens | 540 - Chemistry and allied sciences |
discipline | Chemie / Pharmazie |
format | Electronic eBook |
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id | DE-604.BV043108990 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:17:41Z |
institution | BVB |
isbn | 0080488536 9780080488530 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028533181 |
oclc_num | 146613800 |
open_access_boolean | |
owner | DE-1046 DE-1047 |
owner_facet | DE-1046 DE-1047 |
physical | 1 Online-Ressource (viii, 237 p.) |
psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
publishDate | 2002 |
publishDateSearch | 2002 |
publishDateSort | 2002 |
publisher | Academic Press |
record_format | marc |
spelling | Quinn, Charles M. Verfasser aut Computational quantum chemistry an interactive guide to basis set theory Charles M. Quinn San Diego, Calif. Academic Press c2002 1 Online-Ressource (viii, 237 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. [229]-230) and index Machine generated contents note: 1 Essential atomic orbital theory -- 11 Atomic orbitals for the hydrogen atom -- 12 Radial distribution functions for the hydrogen atom -- 13 Radial wave functions for many-electron atoms -- 14 Slater-type orbitals -- 15 Gaussian-type functions-the Isto-3g) minimal basis set -- 16 isto-ng) basis sets -- 17 Scaling factors -- 18 The (4s/2s) basis set, polarization and scaling factors for molecular -- environments -- 19 Gaussian-lobe and other Gaussian basis sets -- 2 Numerical integration -- 21 Numerical integration -- 22 Application of Simpson's rule to calculate a normalization integral -- 23 Calculations of normalization constants over the angular coordinates -- 24 Numerical integration in a cylindrical volume: diatomic and linear -- molecular geometries -- 25 Calculation of the overlap integral between Is orbitals in a Gaussian -- basis -- 26 Designing Gaussian basis sets to model Slater orbitals -- 3 Orthonormality -- - 31 Orthonormality in Slater orbital and basis set theory -- 32 Orthonormality and Slater orbitals -- 33 Orthonormality and Gaussian orbitals -- 34 Orthonormality and double-zeta Slater orbitals -- 35 Orthonormality and split-basis or double-zeta Gaussian basis sets -- 36 The Jacobi transformation, diagonalization of a symmetric matrix and -- canonical orthogonalization -- 37 The S-1/2 'trick' -- 38 Symmetric orthonormalization -- 4 The hydrogen atom -numerical solutions -- 41 Eigenvalue calculations for hydrogen based on analytical functions -- 42 Calculations using Slater orbitals -- 43 Calculations with Gaussian functions -- 44 Calculations with split-basis [split-valence] sets -- 45 Review of results for the ls and 2s orbital energies in hydrogen -- 5 The helium atom and the self-consistent field -- 51 Hartree's analysis of the helium atom problem -- 52 Calculations with modified hydrogen atom wave functions -- 53 The Hall-Roothaan equations, the orbital approximation and -- - the modem Hartree-Fock self-consistent field method -- 54 Calculations using Slater DZ functions -- 55 Gaussian basis set calculations for the helium atom-two-electron -- integrals over Gaussian basis functions -- 56 A HFS-SCF calculation with split-basis 14-31) for helium -- 57 Helium, singlet and triplet excited states, electron spin and the role -- of the Exchange integral -- 6 One- and two-electron diatoms -- 61 Calculations using hydrogen Is orbitals -- 62 Sto-3g calculations for H2+ -- 63 Calculations using Gaussian basis sets with the exact evaluation of -- integrals using Fourier transforms -- 64 Calculations involving the two-electron terms; the Isto-3g) -- HF-SCF results for dihydrogen -- 65 The standard form for the results of HFS-SCF calculations -- 66 The Isto-3g) HFS-SCF calculation for HeH+ -- 67 Polarization functions, Gaussian lobes and higher-order Gaussian -- basis sets -- 68 Epilogue This textbook is an interactive learning tool in which the power of EXCEL spreadsheet technology is applied to make plain the fundamentals of basis set theory in atomic and molecular orbital calculations. Spreadsheet calculations are provided on the accompanying CD-ROM. SCIENCE / Chemistry / Physical & Theoretical bisacsh Gaussian basis sets (Quantum mechanics) fast Quantum chemistry / Data processing fast Chemie Datenverarbeitung Quantum chemistry Data processing Gaussian basis sets (Quantum mechanics) Quantenchemie (DE-588)4047979-1 gnd rswk-swf Computerphysik (DE-588)4273564-6 gnd rswk-swf Quantenchemie (DE-588)4047979-1 s Computerphysik (DE-588)4273564-6 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=196187 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Quinn, Charles M. Computational quantum chemistry an interactive guide to basis set theory SCIENCE / Chemistry / Physical & Theoretical bisacsh Gaussian basis sets (Quantum mechanics) fast Quantum chemistry / Data processing fast Chemie Datenverarbeitung Quantum chemistry Data processing Gaussian basis sets (Quantum mechanics) Quantenchemie (DE-588)4047979-1 gnd Computerphysik (DE-588)4273564-6 gnd |
subject_GND | (DE-588)4047979-1 (DE-588)4273564-6 |
title | Computational quantum chemistry an interactive guide to basis set theory |
title_auth | Computational quantum chemistry an interactive guide to basis set theory |
title_exact_search | Computational quantum chemistry an interactive guide to basis set theory |
title_full | Computational quantum chemistry an interactive guide to basis set theory Charles M. Quinn |
title_fullStr | Computational quantum chemistry an interactive guide to basis set theory Charles M. Quinn |
title_full_unstemmed | Computational quantum chemistry an interactive guide to basis set theory Charles M. Quinn |
title_short | Computational quantum chemistry |
title_sort | computational quantum chemistry an interactive guide to basis set theory |
title_sub | an interactive guide to basis set theory |
topic | SCIENCE / Chemistry / Physical & Theoretical bisacsh Gaussian basis sets (Quantum mechanics) fast Quantum chemistry / Data processing fast Chemie Datenverarbeitung Quantum chemistry Data processing Gaussian basis sets (Quantum mechanics) Quantenchemie (DE-588)4047979-1 gnd Computerphysik (DE-588)4273564-6 gnd |
topic_facet | SCIENCE / Chemistry / Physical & Theoretical Gaussian basis sets (Quantum mechanics) Quantum chemistry / Data processing Chemie Datenverarbeitung Quantum chemistry Data processing Quantenchemie Computerphysik |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=196187 |
work_keys_str_mv | AT quinncharlesm computationalquantumchemistryaninteractiveguidetobasissettheory |