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Theoretical Chemistry Glossary

25 essential terms — because precise language is the foundation of clear thinking in Theoretical Chemistry.

Showing 25 of 25 terms

Quantum chemical methods derived from first principles without empirical parameters.

Related:Hartree-FockPost-Hartree-FockBasis Set

A set of mathematical functions used to approximate molecular orbitals in quantum chemical calculations.

Related:Gaussian FunctionsSTO-3Gcc-pVTZ

A measure of the number of chemical bonds between a pair of atoms, calculated as half the difference between bonding and antibonding electrons.

Related:Molecular OrbitalBond LengthBond Strength

The separation of nuclear and electronic motions based on the large mass difference between nuclei and electrons.

Related:AdiabaticPotential Energy SurfaceNuclear Motion

Complete Active Space Self-Consistent Field method for multiconfigurational systems.

Related:Active SpaceMulticonfigurationalExcited States

A highly accurate post-Hartree-Fock method using an exponential ansatz to include electron correlation.

Related:CCSD(T)Electron CorrelationGold Standard

A mathematical functional that maps the electron density to the total energy of a quantum system.

Related:DFTExchange-CorrelationKohn-Sham

In quantum chemistry, the allowed energy values obtained by solving the Schrodinger equation.

Related:EigenfunctionWavefunctionHamiltonian

The probability of finding an electron at a given point in space, used as the central variable in DFT.

Related:DFTHohenberg-KohnCharge Distribution

The quantum mechanical energy arising from the antisymmetry requirement of the electronic wavefunction.

Related:Pauli ExclusionHartree-FockCorrelation

A set of classical potential energy functions and parameters used in molecular mechanics and MD simulations.

Related:Molecular MechanicsMD SimulationAMBER

A bell-shaped mathematical function widely used as basis functions in quantum chemical calculations.

Related:Basis SetGTOIntegral Evaluation

The quantum mechanical operator corresponding to the total energy of a system (kinetic + potential).

Related:Schrodinger EquationEigenvalueOperator

A mean-field approximation to the electronic Schrodinger equation using a single Slater determinant.

Related:Self-Consistent FieldExchangeCorrelation

Two theorems proving that ground-state properties are uniquely determined by the electron density.

Related:DFTElectron DensityVariational Principle

A simulation method tracking atomic trajectories by integrating Newton's equations of motion over time.

Related:Force FieldTrajectoryStatistical Mechanics

A mathematical function describing the wave-like behavior of an electron delocalized over an entire molecule.

Related:LCAOBondingAntibonding

No two electrons can occupy the same quantum state simultaneously; wavefunctions must be antisymmetric.

Related:Slater DeterminantSpinFermion

A method that treats complex problems as small modifications to simpler, solvable problems.

Related:MP2CorrectionHartree-Fock

A multidimensional surface mapping molecular energy as a function of atomic coordinates.

Related:MinimumTransition StateSaddle Point

The fundamental equation of quantum mechanics describing how quantum states evolve and determining allowed energy levels.

Related:HamiltonianWavefunctionEigenvalue

An iterative procedure where orbitals are optimized until the input and output electron distributions converge.

Related:Hartree-FockKohn-ShamConvergence

The highest-energy point along the minimum energy reaction path, corresponding to a saddle point on the PES.

Related:Activation EnergyPESReaction Rate

States that any trial wavefunction yields an energy greater than or equal to the true ground-state energy.

Related:Upper BoundOptimizationGround State

A mathematical function (psi) containing all quantum mechanical information about a system; its square gives the probability density.

Related:Schrodinger EquationProbabilityOrbital
Theoretical Chemistry Glossary - Key Terms & Definitions | PiqCue