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E-raamat: Computational Quantum Chemistry: An Interactive Introduction to Basis Set Theory

(National University of Ireland, Maynooth, Co. Kildare, Ireland)
  • Formaat: PDF+DRM
  • Ilmumisaeg: 28-Feb-2002
  • Kirjastus: Academic Press Inc
  • Keel: eng
  • ISBN-13: 9780080488530
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  • Formaat: PDF+DRM
  • Ilmumisaeg: 28-Feb-2002
  • Kirjastus: Academic Press Inc
  • Keel: eng
  • ISBN-13: 9780080488530
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Applying spreadsheet technology to the numerical analysis of atomic and molecular orbital calculations, Quinn (chemistry, National U. of Ireland) demonstrates the fundamental concepts of basic set theory. Chapters cover numerical integration, orthonormality, numerical solutions related to the hydrogen atom, the helium atom and the self-consistent field, and one- and two-electron diatoms. The CD-ROM contains interactive EXCEL spreadsheet files mirroring the illustrations in the text. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Computational Quantum Chemistry removes much of the mystery of modern computer programs for molecular orbital calculations by showing how to develop Excel spreadsheets to perform model calculations and investigate the properties of basis sets. Using the book together with the CD-ROM provides a unique interactive learning tool. In addition, because of the integration of theory with working examples on the CD-ROM, the reader can apply advanced features available in the spreadsheet to other applications in chemistry, physics, and a variety of disciplines that require the solution of differential equations.

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