05528nam 2200685Ia 450 991014368760332120230721025955.01-280-76332-997866107633200-470-11644-70-470-11643-9(CKB)1000000000356622(EBL)287298(OCoLC)476040293(SSID)ssj0000237637(PQKBManifestationID)11199959(PQKBTitleCode)TC0000237637(PQKBWorkID)10221786(PQKB)11610678(MiAaPQ)EBC287298(Au-PeEL)EBL287298(CaPaEBR)ebr10278560(CaONFJC)MIL76332(EXLCZ)99100000000035662219920204d2007 uy 0engur|n|---|||||txtccrReviews in computational chemistryVolume 23[electronic resource] /edited by Kenny B. Lipkowitz, Thomas R. CundariHoboken, NJ Wiley20071 online resource (518 p.)Reviews in Computational Chemistry ;v.23Description based upon print version of record.0-470-08201-1 Includes bibliographical references and index.Reviews in Computational Chemistry Volume 23; Preface; Contents; Contributors; Contributors to Previous Volumes; 1. Linear-Scaling Methods in Quantum Chemistry; Introduction; Some Basics of SCF Theory; Direct SCF Methods and Two-Electron Integral Screening; Schwarz Integral Estimates; Multipole-Based Integral Estimates (MBIE); Calculation of Integrals via Multipole Expansion; A First Example; Derivation of the Multipole Expansion; The Fast Multipole Method: Breaking the Quadratic Wall; Fast Multipole Methods for Continuous Charge Distributions; Other Approaches; Exchange-Type ContractionsThe Exchange-Correlation Matrix of KS-DFTAvoiding the Diagonalization Step-Density Matrix-Based SCF; General Remarks; Tensor Formalism; Properties of the One-Particle Density Matrix; Density Matrix-Based Energy Functional; ''Curvy Steps'' in Energy Minimization; Density Matrix-Based Quadratically Convergent SCF (D-QCSCF); Implications for Linear-Scaling Calculation of SCF Energies; SCF Energy Gradients; Molecular Response Properties at the SCF Level; Vibrational Frequencies; NMR Chemical Shieldings; Density Matrix-Based Coupled Perturbed SCF (D-CPSCF)Outlook on Electron Correlation Methods for Large SystemsLong-Range Behavior of Correlation Effects; Rigorous Selection of Transformed Products via Multipole-Based Integral Estimates (MBIE); Implications; Conclusions; References; 2. Conical Intersections in Molecular Systems; Introduction; General Theory; The Born-Oppenheimer Approximation and its Breakdown: Nonadiabatic Processes; Adiabatic-Diabatic Representation; The Noncrossing Rule; The Geometric Phase Effect; Conical Intersections and Symmetry; The Branching Plane; Characterizing Conical Intersections: Topography; Derivative CouplingElectronic Structure Methods for Excited StatesMulticonfiguration Self-Consistent Field (MCSCF); Multireference Configuration Interaction (MRCI); Complete Active Space Second-Order Perturbation Theory (CASPT2); Single Reference Methods; Choosing Electronic Structure Methods for Conical Intersections; Locating Conical Intersections; Dynamics; Applications; Conical Intersections in Biologically Relevant Systems; Beyond the Double Cone; Three-State Conical Intersections; Spin-Orbit Coupling and Conical Intersections; Conclusions and Future Directions; Acknowledgments; References3. Variational Transition State Theory with Multidimensional TunnelingIntroduction; Variational Transition State Theory for Gas-Phase Reactions; Conventional Transition State Theory; Canonical Variational Transition State Theory; Other Variational Transition State Theories; Quantum Effects on the Reaction Coordinate; Practical Methods for Quantized VTST Calculations; The Reaction Path; Evaluation of Partition Functions; Harmonic and Anharmonic Vibrational Energy Levels; Calculations of Generalized Transition State Number of States; Quantum Effects on Reaction Coordinate MotionMultidimensional Tunneling Corrections Based on the Adiabatic ApproximationTHIS VOLUME, LIKE THOSE PRIOR TO IT, FEATURES CHAPTERS BY EXPERTS IN VARIOUS FIELDS OF COMPUTATIONAL CHEMISTRY. Volume 23 COVERS LINEAR SCALING METHODS FOR QUANTUM CHEMISTRY, VARIATIONAL TRANSITION STATE THEORY, COARSE GRAIN MODELING OF POLYMERS, SUPPORT VECTOR MACHINES, CONICAL INTERSECTIONS, ANALYSIS OF INFORMATION CONTENT USING SHANNON ENTROPY, AND HISTORICAL INSIGHTS INTO HOW COMPUTING EVOLVED IN THE PHARMACEUTICAL INDUSTRY. FROM REVIEWS OF THE SERIES ""Reviews in Computational Chemistry remains the most valuable reference to methods and techniques in computational chemisReviews in Computational ChemistryChemistryData processingChemistryMathematicsChemistryData processing.ChemistryMathematics.542.85542/.8Lipkowitz Kenny B855564Cundari Thomas R.1964-857289MiAaPQMiAaPQMiAaPQBOOK9910143687603321Reviews in computational chemistry1914230UNINA