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Relativistic Hamiltonians for Chemistry: A Primer

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Nonsingular two/one-component relativistic Hamiltonians accurate through arbitrary high order in ?2
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Picture change and calculations of expectation values in approximate relativistic theories
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Optimal decoupling of positive- and negative-energy orbitals in relativistic electronic structure calculations beyond Hartree-Fock
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Relativistic electric and magnetic property operators for two-component transformed Hamiltonians
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Relativistic Quantum Chemistry
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Basis set expansion of the dirac operator without variational collapse
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On the use of an extended nucleus in Dirac-Fock Gaussian basis set calculations
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Kinetic balance in contracted basis sets for relativistic calculations
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DIRAC–FOCK ATOMIC ELECTRONIC STRUCTURE CALCULATIONS USING DIFFERENT NUCLEAR CHARGE DISTRIBUTIONS
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Group Theory and Quantum Mechanics
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Advanced Molecular Quantum Mechanics
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Relativistic Pseudopotentials
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Four-Component Electronic Structure Methods for Molecules
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Matrix Approximations to the Dirac Hamiltonian for Molecular Calculations
inferredcites →https://doi.org/10.1007/bf00938771openalex-snapshot
Approximate relativistic Hartree-Fock equations and their solution within a minimum basis set of slater-type functions
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Relativistic all-electron molecular Hartree-Fock-Dirac-(Breit) calculations on CH4, SiH4, GeH4, SnH4, PbH4
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Perturbation theory of relativistic corrections
inferredcites →https://doi.org/10.1007/bf01436910openalex-snapshot
Perturbation theory of relativistic corrections
inferredcites →https://doi.org/10.1007/bf01646020openalex-snapshot
Nonrelativistic particles and wave equations
inferredcites →https://doi.org/10.1007/bf02748000openalex-snapshot
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inferredcites →https://doi.org/10.1007/s00214-004-0607-yopenalex-snapshot
Relativistic double-zeta, triple-zeta, and quadruple-zeta basis sets for the 5d elements Hf?Hg
inferredcites →https://doi.org/10.1007/s00214-004-607-yopenalex-snapshot
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inferredcites →https://doi.org/10.1007/s00214-009-0717-7openalex-snapshot
Revised relativistic basis sets for the 5d elements Hf–Hg
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Mössbauer spectroscopy for heavy elements: a relativistic benchmark study of mercury
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Quantum electrodynamical corrections to the fine structure of helium
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Variational solution of the dirac equation within a multicentre basis set of gaussian functions
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A variational approach to relativistic effects in LCAO calculations
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The use of gaussian nuclear charge distributions for the calculation of relativistic electronic wavefunctions using basis set expansions
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Minimax variational solution of the Dirac equation in molecular geometries
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The ZORA formalism applied to the Dirac-Fock equation
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A mean-field spin-orbit method applicable to correlated wavefunctions
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GRASP: A general-purpose relativistic atomic structure program
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Current aspects of quantum chemistry, 1981
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Matrix representation of the relativistic kinetic energy operator: Two-component variational procedure for the treatment of many-electron atoms and molecules
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Ab initio study of NMR shielding constants and spin-rotation constants in N, P and As diatomic molecules
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Theoretical study of PbO and the PbO anion
inferredcites →https://doi.org/10.1016/j.cplett.2008.07.009openalex-snapshot
Examination of accuracy of electron–electron Coulomb interactions in two-component relativistic methods
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On representation of the Hamiltonian matrix elements in relativistic regular approximation
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Accurate nuclear quadrupole moments of the gallium isotopes Ga and Ga within the PCNQM model
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On the distinction between scalar and spin–orbit relativistic effects
inferredcites →https://doi.org/10.1016/s0065-3276(05)48020-xopenalex-snapshot
Spin-Interactions and the Non-relativistic Limit of Electrodynamics
inferredcites →https://doi.org/10.1016/s0166-1280(01)00477-8openalex-snapshot
On the use of many-body perturbation theory and quantum-electrodynamics in molecular electronic structure theory
inferredcites →https://doi.org/10.1016/s1380-7323(02)80033-4openalex-snapshot
Chapter 7 Post Dirac-Hartree-Fock methods—properties
inferredcites →https://doi.org/10.1016/s1380-7323(02)80038-3openalex-snapshot
Chapter 12 Perturbation theory of relativistic effects
inferredcites →https://doi.org/10.1021/cr00085a006openalex-snapshot
Relativistic effects in structural chemistry
inferredcites →https://doi.org/10.1021/ja00267a063openalex-snapshot
A scale of directional substituent polarizability parameters from ab initio calculations of polarizability potentials
inferredcites →https://doi.org/10.1063/1.1288371openalex-snapshot
Approximate relativistic electronic structure methods based on the quaternion modified Dirac equation
inferredcites →https://doi.org/10.1063/1.1316037openalex-snapshot
The higher-order Douglas–Kroll transformation
inferredcites →https://doi.org/10.1063/1.1370532openalex-snapshot
Systematic treatment of relativistic effects accurate through arbitrarily high order in α2
inferredcites →https://doi.org/10.1063/1.1436462openalex-snapshot
Infinite-order two-component theory for relativistic quantum chemistry
inferredcites →https://doi.org/10.1063/1.1515314openalex-snapshot
The generalized Douglas–Kroll transformation
inferredcites →https://doi.org/10.1063/1.1540615openalex-snapshot
The electron–electron interaction in the Douglas–Kroll–Hess approach to the Dirac–Kohn–Sham problem
inferredcites →https://doi.org/10.1063/1.1561046openalex-snapshot
Analytic energy derivatives for regular approximations of relativistic effects applicable to methods with and without correlation corrections
inferredcites →https://doi.org/10.1063/1.1574317openalex-snapshot
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inferredcites →https://doi.org/10.1063/1.1594173openalex-snapshot
Extended Douglas–Kroll transformations applied to the relativistic many-electron Hamiltonian
inferredcites →https://doi.org/10.1063/1.1687676openalex-snapshot
Relation between different variants of the generalized Douglas–Kroll transformation through sixth order
inferredcites →https://doi.org/10.1063/1.1792131openalex-snapshot
Two-component relativistic methods for the heaviest elements
inferredcites →https://doi.org/10.1063/1.1818681openalex-snapshot
Exact decoupling of the Dirac Hamiltonian. II. The generalized Douglas–Kroll–Hess transformation up to arbitrary order
inferredcites →https://doi.org/10.1063/1.1839856openalex-snapshot
A gauge-independent zeroth-order regular approximation to the exact relativistic Hamiltonian—Formulation and applications
inferredcites →https://doi.org/10.1063/1.2079907openalex-snapshot
Efficient treatment of the Hartree interaction in the relativistic Kohn-Sham problem
inferredcites →https://doi.org/10.1063/1.2137315openalex-snapshot
Quasirelativistic theory equivalent to fully relativistic theory
inferredcites →https://doi.org/10.1063/1.2222365openalex-snapshot
Infinite-order quasirelativistic density functional method based on the exact matrix quasirelativistic theory
inferredcites →https://doi.org/10.1063/1.2436882openalex-snapshot
An infinite-order two-component relativistic Hamiltonian by a simple one-step transformation
inferredcites →https://doi.org/10.1063/1.2710258openalex-snapshot
Quasirelativistic theory. II. Theory at matrix level
inferredcites →https://doi.org/10.1063/1.2733647openalex-snapshot
Effect of removing the no-virtual-pair approximation on the correlation energy of the He isoelectronic sequence
inferredcites →https://doi.org/10.1063/1.2736702openalex-snapshot
Four-component relativistic theory for nuclear magnetic shielding constants: Critical assessments of different approaches
inferredcites →https://doi.org/10.1063/1.2772856openalex-snapshot
Making four- and two-component relativistic density functional methods fully equivalent based on the idea of “from atoms to molecule”
inferredcites →https://doi.org/10.1063/1.2837472openalex-snapshot
A fully relativistic method for calculation of nuclear magnetic shielding tensors with a restricted magnetically balanced basis in the framework of the matrix Dirac–Kohn–Sham equation
inferredcites →https://doi.org/10.1063/1.3068310openalex-snapshot
An arbitrary order Douglas–Kroll method with polynomial cost
inferredcites →https://doi.org/10.1063/1.3159445openalex-snapshot
Exact two-component Hamiltonians revisited
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Exact two-component relativistic theory for nuclear magnetic resonance parameters
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The molecular mean-field approach for correlated relativistic calculations
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Effect of removing the no-virtual pair approximation on the correlation energy of the He isoelectronic sequence. II. Point nuclear charge model
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Direct perturbation theory in terms of energy derivatives: Fourth-order relativistic corrections at the Hartree–Fock level
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Fourth-order relativistic corrections to electrical first-order properties using direct perturbation theory
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Analytic energy gradients for the spin-free exact two-component theory using an exact block diagonalization for the one-electron Dirac Hamiltonian
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Orbit–orbit interaction
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Relativistic effects on R e and D e in AgH and AuH from all-electron Dirac–Hartree–Fock calculations
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Kinetic balance: A partial solution to the problem of variational safety in Dirac calculations
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Relativistic regular two-component Hamiltonians
inferredcites →https://doi.org/10.1063/1.466508openalex-snapshot
An exact separation of the spin-free and spin-dependent terms of the Dirac–Coulomb–Breit Hamiltonian
inferredcites →https://doi.org/10.1063/1.467943openalex-snapshot
Relativistic total energy using regular approximations
inferredcites →https://doi.org/10.1063/1.473860openalex-snapshot
Interfacing relativistic and nonrelativistic methods. I. Normalized elimination of the small component in the modified Dirac equation
inferredcites →https://doi.org/10.1063/1.476576openalex-snapshot
Molecular density functional calculations in the regular relativistic approximation: Method, application to coinage metal diatomics, hydrides, fluorides and chlorides, and comparison with first-order relativistic calculations
inferredcites →https://doi.org/10.1063/1.478739openalex-snapshot
Effective Hamiltonians for degenerate and quasidegenerate direct perturbation theory of relativistic effects
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On the origin and contribution of the diamagnetic term in four-component relativistic calculations of magnetic properties
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Relativistic regular approximations revisited: An infinite-order relativistic approximation
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Special relativity with Clifford algebras and 2×2 matrices, and the exact product of two boosts
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Quantum theory of cohesive properties of solids
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Regular approximated scalar relativistic correlated ab initio schemes: applications to rare gas dimers
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Quasirelativistic theory I. Theory in terms of a quasi-relativistic operator
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Ideas of relativistic quantum chemistry
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LI. The dynamical motions of charged particles
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Matrix representation of operator products
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Diagonalisation of the Dirac Hamiltonian as a basis for a relativistic many-body procedure
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Relativistic perturbation theory. I. A new perturbation approach to the Dirac equation
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Regular Two-Component Pauli-Like Effective Hamiltonians in Dirac Theory
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Relativistic atomic orbital contractions and expansions: magnitudes and explanations
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Search for effective local model potentials for simulation of quantum electrodynamic effects in relativistic calculations
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Application of the complex-coordinate rotation to the relativistic Hylleraas-CI method: a case study
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Introduction to Relativistic Quantum Chemistry
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The quantum theory of the electron
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The quantum theory of the Electron. Part II
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The triplets of helium
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On the interaction of two electrons
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Relativistic Self-Consistent-Field Theory for Closed-Shell Atoms
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The Effect of Retardation on the Interaction of Two Electrons
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On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
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Foundations of the relativistic theory of many-electron atoms
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Theory of relativistic effects on atoms: Configuration-space Hamiltonian
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Conditions for convergence of variational solutions of Dirac's equation in a finite basis
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Comment on relativistic wave equations and negative-energy states
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Relativistic calculations on the adsorption of CO on the (111) surfaces of Ni, Pd, and Pt within the zeroth-order regular approximation
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Approximate two-electron spin-orbit coupling term for density-functional-theory DFT calculations using the Douglas-Kroll-Hess transformation
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Supersymmetrization ofN=1ten-dimensional supergravity with Lorentz Chern-Simons term
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Minimax Principle for the Dirac Equation
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Nobel Lecture: Quantum chemical models
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Expression of Results in Quantum Chemistry

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Relativistic Methods in Computational Quantum Chemistry
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Relativistic four-component potential energy curves for the lowest 23 covalent states of molecular astatine (At2)
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Real-Time Time-Dependent Electronic Structure Theory
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Chemical Bonding and Bonding Models of Main-Group Compounds
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Questioning the Affinity of Electrophilic Astatine for Sulfur-containing Compounds: Unexpected Bindings Revealed
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Comprehensive Benchmark Study on the Calculation of 29Si NMR Chemical Shifts
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Crystal and Substituent Effects on Paramagnetic NMR Shifts in Transition-Metal Complexes
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Accurate X-ray Absorption Spectra near L- and M-Edges from Relativistic Four-Component Damped Response Time-Dependent Density Functional Theory
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Core Excitations of Uranyl in Cs2UO2Cl4 from Relativistic Embedded Damped Response Time-Dependent Density Functional Theory Calculations
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Lewis Acidic Aluminosilicates: Synthesis, 27 Al MQ/MAS NMR, and DFT-Calculated 27 Al NMR Parameters
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Relativistic Effects in Ligand Field Theory (I): Optical Properties of d1 Atoms in Oh′ Symmetry
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Structure and Excitation Spectra of Third-Row Transition Metal Hexafluorides Based on Multi-Reference Exact Two-Component Theory
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Potential Energy Curves of Core-Excited States of the U M 5 Absorption Edge Manifold of UO 2 2+
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Hyperfine Effects in Ligand NMR: Paramagnetic Ru(III) Complexes with 3-Substituted Pyridines
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Interplay of Through-Bond Hyperfine and Substituent Effects on the NMR Chemical Shifts in Ru(III) Complexes
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Molecular and Electronic Structure, and Hydrolytic Reactivity of a Samarium(II) Crown Ether Complex
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Relativistic Effects in Magnetic Circular Dichroism: Restricted Magnetic Balance and Temperature Dependence
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Segmented Contracted Error-Consistent Basis Sets of Quadruple-ζ Valence Quality for One- and Two-Component Relativistic All-Electron Calculations
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Electron–Nucleus Hyperfine Coupling Calculated from Restricted Active Space Wavefunctions and an Exact Two-Component Hamiltonian
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Relativistic EOM-CCSD for Core-Excited and Core-Ionized State Energies Based on the Four-Component Dirac–Coulomb(−Gaunt) Hamiltonian
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NMR Indirect Spin–Spin Coupling Constants in a Modern Quasi-Relativistic Density Functional Framework
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Two-Component Multireference Restricted Active Space Configuration Interaction for the Computation of L-Edge X-ray Absorption Spectra
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Hyperfine Coupling Constants in Local Exact Two-Component Theory
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Quasi-Relativistic Calculation of EPR g Tensors with Derivatives of the Decoupling Transformation, Gauge-Including Atomic Orbitals, and Magnetic Balance
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Polarizable Embedding Complex Polarization Propagator in Four- and Two-Component Frameworks
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Exact-Two-Component Multiconfiguration Pair-Density Functional Theory
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Exact-Two-Component Relativistic Multireference Second-Order Perturbation Theory
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Hyperion : A New Computational Tool for Relativistic Ab Initio Hyperfine Coupling
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Modeling Nonresonant X-ray Emission of Second- and Third-Period Elements without Core-Hole Reference States and Empirical Parameters
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Constructing “Full-Frequency” Spectra via Moment Constraints for Coupled Cluster Green’s Functions
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Reducing Exact Two-Component Theory for NMR Couplings to a One-Component Approach: Efficiency and Accuracy
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The Good, the Bad, and the Ugly: Pseudopotential Inconsistency Errors in Molecular Applications of Density Functional Theory
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NWChem: Recent and Ongoing Developments
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Formulation and Implementation of Frequency-Dependent Linear Response Properties with Relativistic Coupled Cluster Theory for GPU-Accelerated Computer Architectures
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Predicting the FCI Energy of Large Systems to Chemical Accuracy from Restricted Active Space Density Matrix Renormalization Group Calculations
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Predicting the X-ray Absorption Spectrum of Ozone with Single Configuration State Functions
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Full Breit Hamiltonian in the Multiwavelets Framework
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Scalar Relativistic Effects with Multiwavelets: Implementation and Benchmark
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Generalization of One-Center Nonorthogonal Configuration Interaction Singles to Open-Shell Singlet Reference States: Theory and Application to Valence-Core Pump-Probe States in Acetylacetone
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Cholesky Decomposition-Based Implementation of Relativistic Two-Component Coupled-Cluster Methods for Medium-Sized Molecules
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Spin-Symmetry Breaking and Hyperfine Couplings in Transition-Metal Complexes Revisited Using Density Functionals Based on the Exact-Exchange Energy Density
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Consistent Second-Order Treatment of Spin–Orbit Coupling and Dynamic Correlation in Quasidegenerate N-Electron Valence Perturbation Theory
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State Interaction for Relativistic Four-Component Methods: Choose the Right Zeroth-Order Hamiltonian for Late-Row Elements
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Systematic Investigation of Electronic States and Bond Properties of LnO, LnO + , LnS, and LnS + (Ln = La–Lu) by Spin–Orbit Multiconfiguration Perturbation Theory
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Algebraic Diagrammatic Construction Theory of Charged Excitations with Consistent Treatment of Spin–Orbit Coupling and Dynamic Correlation
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Relativistic Internally Contracted Multireference Electron Correlation Methods
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Predicting Near Edge X-ray Absorption Spectra with the Spin-Free Exact-Two-Component Hamiltonian and Orthogonality Constrained Density Functional Theory
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Improved Segmented All-Electron Relativistically Contracted Basis Sets for the Lanthanides
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Spin-Free CC2 Implementation of Induced Transitions between Singlet Ground and Triplet Excited States
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N-Electron Valence State Perturbation Theory Based on a Density Matrix Renormalization Group Reference Function, with Applications to the Chromium Dimer and a Trimer Model of Poly(p-Phenylenevinylene)
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Exact Two-Component Relativistic Polarizable Density Embedding
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Frozen Natural Spinors for Cholesky Decomposition-Based Two-Component Relativistic Coupled Cluster Method
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“Beyond-Zero-Sum” Range-Separated Local Hybrid Functional with Improved Dynamical Correlation
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Extending Orbital-Optimized Density Functional Theory to L-Edge XPS and Beyond: Spin–Orbit Coupling via Nonorthogonal Quasi-Degenerate Perturbation Theory
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A Reduced Cost Two-Component Relativistic Equation-of-Motion Coupled Cluster Method for Ionization Potential
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Extension of the Cluster Jastrow ( k- uCJ) Decomposition to Complex Hamiltonians: Applications to Relativistic Systems
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A Reusable Library for Second-Order Orbital Optimization Using the Trust Region Method
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Relativistic Fermionic Neural Networks Based on Zeroth-Order Regular Approximation: ZORANet
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Linearized Pair-Density Functional Theory with Spin–Orbit Coupling
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Performance of Different Spin–Orbit Operators for the Splitting of 4f-Multiplets in Trivalent Lanthanides
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Second-Order Perturbative Treatment of Spin–Orbit Coupling and Ground-State Electron Correlation
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Four-Component Damped Density Functional Response Theory Study of UV/Vis Absorption Spectra and Phosphorescence Parameters of Group 12 Metal-Substituted Porphyrins
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Direct Atomic-Orbital-Based Relativistic Two-Component Linear Response Method for Calculating Excited-State Fine Structures
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Cost-Effective Treatment of Scalar Relativistic Effects for Multireference Systems: A CASSCF Implementation Based on the Spin-free Dirac–Coulomb Hamiltonian
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Relativistic Two-Component Particle–Particle Tamm–Dancoff Approximation
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A Nonorthogonal State-Interaction Approach for Matrix Product State Wave Functions
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Relativistic Effects on Electron–Nucleus Hyperfine Coupling Studied with an Exact 2-Component (X2C) Hamiltonian
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SAP-X2C: Optimally-Simple Two-Component Relativistic Hamiltonian with Size-Intensive Picture Change
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Mixed-Precision Ab Initio Tensor Network State Methods Adapted for NVIDIA Blackwell Technology via Emulated FP64 Arithmetic
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Relativistic Complete Active Space Self-Consistent-Field Method with a Hierarchy of Exact Two-Component Hamiltonians
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The Dose Makes the Poison: Perturbative Steps toward the Ultimate Linearized Coupled Cluster Method
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Toward Accurate RIXS Spectra at Heavy Element Edges: A Relativistic Four-Component and Exact Two-Component TDDFT Approach
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One-Step Relativistic Driven Similarity Renormalization Group Multireference Perturbation Theory
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Continuous Information Descriptors for Electron Localization: Relativistic Spatial Responses, Nonadditivity, and Chemical Bonding
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Application of SAP-X2C to Spectroscopy and Comparison to Screened Nuclear Spin–Orbit Approximations
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Simultaneous Treatment of Electron Correlation and Spin–Orbit Coupling with State-Averaged Driven Similarity Renormalization Group Second-Order Perturbation Theory
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Two-Component Noncollinear Time-Dependent Spin Density Functional Theory for Excited State Calculations
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Internally Contracted Multireference Coupled Cluster Calculations with a Spin-Free Dirac–Coulomb Hamiltonian: Application to the Monoxides of Titanium, Zirconium, and Hafnium
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Relativistic Polarizable Embedding
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Segmented Contracted Error-Consistent Basis Sets of Double- and Triple-ζ Valence Quality for One- and Two-Component Relativistic All-Electron Calculations
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Moderate-Cost Ab Initio Thermochemistry with Chemical Accuracy
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Time-Step Targeting Time-Dependent and Dynamical Density Matrix Renormalization Group Algorithms with ab Initio Hamiltonians
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Spin–Orbit Coupling via Four-Component Multireference Methods: Benchmarking on p-Block Elements and Tentative Recommendations
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One-Step Treatment of Spin–Orbit Coupling and Electron Correlation in Large Active Spaces
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Efficient Relativistic Density-Matrix Renormalization Group Implementation in a Matrix-Product Formulation
inferred← citeshttps://doi.org/10.1021/acs.jctc.7b01279openalex-snapshot
Modeling L 2,3 -Edge X-ray Absorption Spectroscopy with Real-Time Exact Two-Component Relativistic Time-Dependent Density Functional Theory
inferred← citeshttps://doi.org/10.1021/acs.jctc.8b00273openalex-snapshot
A Perturbative Density Matrix Renormalization Group Algorithm for Large Active Spaces
inferred← citeshttps://doi.org/10.1021/acs.jctc.8b01084openalex-snapshot
NMR Shielding Tensors and Chemical Shifts in Scalar-Relativistic Local Exact Two-Component Theory
inferred← citeshttps://doi.org/10.1021/acs.jctc.9b00011openalex-snapshot
Variational Relativistic Two-Component Complete-Active-Space Self-Consistent Field Method
inferred← citeshttps://doi.org/10.1021/acs.jctc.9b00228openalex-snapshot
Efficient Semi-Numerical Implementation of Relativistic Exact Exchange within the Infinite-Order Two-Component Method Using a Modified Chain-of-Spheres Method
inferred← citeshttps://doi.org/10.1021/acs.jctc.9b00729openalex-snapshot
Relativistic Real-Time Time-Dependent Equation-of-Motion Coupled-Cluster
inferred← citeshttps://doi.org/10.1021/acs.jctc.9b01120openalex-snapshot
Analytic Energy Gradients and Hessians of Exact Two-Component Relativistic Methods: Efficient Implementation and Extensive Applications
inferred← citeshttps://doi.org/10.1021/acs.jctc.9b01290openalex-snapshot
Relativistic Two-Component Multireference Configuration Interaction Method with Tunable Correlation Space
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