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Preface to the First Edition | |
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Preface to the Second Edition | |
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Acknowledgments | |
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What are Theory, Computation, and Modeling? | |
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Definition of Terms | |
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Quantum Mechanics | |
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Computable Quantities | |
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Structure | |
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Potential Energy Surfaces | |
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Chemical Properties | |
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Cost and Efficiency | |
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Intrinsic Value | |
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Hardware and Software | |
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Algorithms | |
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Note on Units | |
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Bibliography and Suggested Additional Reading | |
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References | |
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Molecular Mechanics | |
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History and Fundamental Assumptions | |
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Potential Energy Functional Forms | |
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Bond Stretching | |
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Valence Angle Bending | |
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Torsions | |
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Van der Waals Interactions | |
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Electrostatic Interactions | |
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Cross Terms and Additional Non-bonded Terms | |
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Parameterization Strategies | |
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Force-field Energies and Thermodynamics | |
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Geometry Optimization | |
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Optimization Algorithms | |
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Optimization Aspects Specific to Force Fields | |
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Menagerie of Modern Force Fields | |
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Available Force Fields | |
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Validation | |
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Force Fields and Docking | |
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Case Study: (2R*,4S*)-1-Hydroxy-2,4-dimethylhex-5-ene | |
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Bibliography and Suggested Additional Reading | |
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References | |
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Simulations of Molecular Ensembles | |
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Relationship Between MM Optima and Real Systems | |
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Phase Space and Trajectories | |
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Properties as Ensemble Averages | |
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Properties as Time Averages of Trajectories | |
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Molecular Dynamics | |
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Harmonic Oscillator Trajectories | |
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Non-analytical Systems | |
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Practical Issues in Propagation | |
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Stochastic Dynamics | |
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Monte Carlo | |
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Manipulation of Phase-space Integrals | |
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Metropolis Sampling | |
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Ensemble and Dynamical Property Examples | |
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Key Details in Formalism | |
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Cutoffs and Boundary Conditions | |
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Polarization | |
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Control of System Variables | |
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Simulation Convergence | |
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The Multiple Minima Problem | |
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Force Field Performance in Simulations | |
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Case Study: Silica Sodalite | |
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Bibliography and Suggested Additional Reading | |
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References | |
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Foundations of Molecular Orbital Theory | |
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Quantum Mechanics and the Wave Function | |
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The Hamiltonian Operator | |
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General Features | |
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The Variational Principle | |
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The Born-Oppenheimer Approximation | |
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Construction of Trial Wave Functions | |
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The LCAO Basis Set Approach | |
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The Secular Equation | |
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H?uckel Theory | |
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Fundamental Principles | |
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Application to the Allyl System | |
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Many-electron Wave Functions | |
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Hartree-product Wave Functions | |
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The Hartree Hamiltonian | |
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Electron Spin and Antisymmetry | |
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Slater Determinants | |
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The Hartree-Fock Self-consistent Field Method | |
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Bibliography and Suggested Additional Reading | |
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References | |
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Semiempirical Implementations of Molecular Orbital Theory | |
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Semiempirical Philosophy | |
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Chemically Virtuous Approximations | |
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Analytic Derivatives | |
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Extended Huckel Theory | |
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CNDO Formalism | |
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INDO Formalism | |
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INDO and INDO/S | |
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MINDO/3 and SINDO1 | |
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Basic NDDO Formalism | |
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MNDO | |
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AM1 | |
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PM3 | |
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General Performance Overview of Basic NDDO Models | |
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Energetics | |
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Geometries | |
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Charge Distributions | |
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