Preface |
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vii | |
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Essential atomic orbital theory |
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1 | (56) |
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Atomic orbitals for the hydrogen atom |
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1 | (6) |
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Radial distribution functions for the hydrogen atom |
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7 | (4) |
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Radial wave functions for many-electron atoms |
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11 | (6) |
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17 | (6) |
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Gaussian-type functions-the |sto-3g) minimal basis set |
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23 | (5) |
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28 | (9) |
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37 | (12) |
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The (4s/2s) basis set, polarization and scaling factors for molecular environments |
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49 | (6) |
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Gaussian-lobe and other Gaussian basis sets |
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55 | (2) |
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57 | (22) |
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57 | (2) |
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Application of Simpson's rule to calculate a normalization integral |
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59 | (3) |
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Calculations of normalization constants over the angular coordinates |
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62 | (1) |
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Numerical integration in a cylindrical volume: diatomic and linear molecular geometries |
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63 | (5) |
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Calculation of the overlap integral between 1s orbitals in a Gaussian basis |
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68 | (2) |
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Designing Gaussian basis sets to model Slater orbitals |
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70 | (9) |
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79 | (36) |
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Orthonormality in Slater orbital and basis set theory |
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81 | (1) |
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Orthonormality and Slater orbitals |
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82 | (5) |
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Orthonormality and Gaussian orbitals |
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87 | (3) |
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Orthonormality and double-zeta Slater orbitals |
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90 | (8) |
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Orthonormality and split-basis or double-zeta Gaussian basis sets |
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98 | (6) |
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The Jacobi transformation, diagonalization of a symmetric matrix and canonical orthogonalization |
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104 | (7) |
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111 | (1) |
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Symmetric orthonormalization |
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111 | (4) |
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The hydrogen atom-numerical solutions |
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115 | (44) |
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Eigenvalue calculations for hydrogen based on analytical functions |
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118 | (6) |
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Calculations using Slater orbitals |
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124 | (9) |
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Calculations with Gaussian functions |
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133 | (15) |
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Calculations with split-basis [ split-valence] sets |
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148 | (6) |
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Review of results for the 1s and 2s orbital energies in hydrogen |
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154 | (5) |
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The helium atom and the self-consistent field |
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159 | (34) |
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Hartree's analysis of the helium atom problem |
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159 | (3) |
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Calculations with modified hydrogen atom wave functions |
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162 | (5) |
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The Hall-Roothaan equations, the orbital approximation and the modern Hartree-Fock self-consistent field method |
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167 | (5) |
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Calculations using Slater DZ functions |
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172 | (3) |
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Gaussian basis set calculations for the helium atom-two-electron integrals over Gaussian basis functions |
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175 | (6) |
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A HFS-SCF calculation with split-basis |4-31) for helium |
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181 | (5) |
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Helium, singlet and triplet excited states, electron spin and the role of the Exchange integral |
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186 | (7) |
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One- and two-electron diatoms |
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193 | (36) |
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Calculations using hydrogen 1s orbitals |
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195 | (8) |
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Sto-3g calculations for H2+ |
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203 | (5) |
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Calculations using Gaussian basis sets with the exact evaluation of integrals using Fourier transforms |
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208 | (2) |
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Calculations involving the two-electron terms; the |sto-3g> NF-SCF results for dihydrogen |
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210 | (7) |
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The standard form for the results of HFS-SCF calculations |
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217 | (2) |
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The |sto-3g> HFS-SCF calculation for HeH+ |
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219 | (3) |
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Polarization functions, Gaussian lobes and higher-order Gaussian basis sets |
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222 | (6) |
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228 | (1) |
References |
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229 | (2) |
Index |
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231 | |