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Energy orbital

Thus, it is the ansatz that is separable that leads to the concept of orbitals, which are the one-electron fiinctions ( ). ] found by solving the one-electron Scln-ddinger equations (fj + eigenvalues zp are called orbital energies. [Pg.2162]

Spin orbitals of a and p type do not experience the same exchange potential in this model because contains two a spin orbitals and only one p spin orbital. A consequence is that the optimal Isa and IsP spin orbitals, which are themselves solutions of p([). = .([)., do not have identical orbital energies (i.e. E p) and are... [Pg.2168]

So, within the limitations of the single-detenninant, frozen-orbital model, the ionization potentials (IPs) and electron affinities (EAs) are given as the negative of the occupied and virtual spin-orbital energies, respectively. This statement is referred to as Koopmans theorem [47] it is used extensively in quantum chemical calculations as a means for estimating IPs and EAs and often yields results drat are qualitatively correct (i.e., 0.5 eV). [Pg.2174]

These two expressions differ in a very important way the sum of occupied orbital energies double counts the Coulomb minus exchange interaction energies. Thus, within the FIE approximation, the sum of the occupied orbital energies is not equal to the total energy. [Pg.2174]

Figure Cl.2.5. Illustration of the pn orbital energy levels in [ ]fullerene, [TOJfullerene and monofunctionalized pvrrolidinol601fullerene 1261. Figure Cl.2.5. Illustration of the pn orbital energy levels in [ ]fullerene, [TOJfullerene and monofunctionalized pvrrolidinol601fullerene 1261.
The splitting of the d orbital energy levels when ligands are bonded to a central transition atom or ion has already been mentioned (p. 60). Consider the two ions [Co(NH3)g] and [Co(NH3)g] we have just discussed. The splitting of the d orbital energy levels for these two ions is shown in Figure 13.2. [Pg.365]

Quantum chemical descriptors such as atomic charges, HOMO and LUMO energies, HOMO and LUMO orbital energy differences, atom-atom polarizabilities, super-delocalizabilities, molecular polarizabilities, dipole moments, and energies sucb as the beat of formation, ionization potential, electron affinity, and energy of protonation are applicable in QSAR/QSPR studies. A review is given by Karelson et al. [45]. [Pg.427]

Emphasis was put on providing a sound physicochemical basis for the modeling of the effects determining a reaction mechanism. Thus, methods were developed for the estimation of pXj-vahies, bond dissociation energies, heats of formation, frontier molecular orbital energies and coefficients, and stcric hindrance. [Pg.549]

All m oleciilar orbitals are com biiiations of the same set of atom ic orbitals they differ only by their LCAO expansion coefficients. HyperC hem computes these coefficients, C p. and the molecular orbital energies by requiring that the ground-state electronic energy beat a minimum. That is, any change in the computed coefficients can only increase the energy. [Pg.43]

For Iran sition metals th c splittin g of th c d orbitals in a ligand field is most readily done using HHT. In all other sem i-ctn pirical meth -ods, the orbital energies depend on the electron occupation. HyperCh em s m oiccii lar orbital calcii latiori s give orbital cri ergy spacings that differ from simple crystal field theory prediction s. The total molecular wavcfunction is an antisymmetrized product of the occupied molecular orbitals. The virtual set of orbitals arc the residue of SCT calculations, in that they are deemed least suitable to describe the molecular wavefunction, ... [Pg.148]

Solving the previous matrix equation tor the coefficients C describing the LCAO expan sion of th e orbitals and orbital energies n requires a matrix dia.i>onaliz(ition. If the overlap matrix were a... [Pg.223]

I he Koothaan equations just described are strictly the equations fora closed-shell Restricted Hartrce-Fock fRHK) description only, as illustrated by the orbital energy level diagram shown earlier. To be more specific ... [Pg.226]


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A molecular orbitals, energy

Ab initio calculations of molecular orbital energies

Ammonia orbital energies

Antibonding orbital energy

Antibonding orbitals energies

Atomic Orbital Hybridization at Surfaces Hydration Energies

Atomic and Molecular Orbital Energies

Atomic natural orbitals energy calculations

Atomic orbital energies and electronegativity

Atomic orbitals approximate relative energies

Atomic orbitals atomization energies

Atomic orbitals core energy level

Atomic orbitals energy

Atomic orbitals energy level diagrams

Atomic orbitals energy levels

Atomic orbitals energy splitting

Atomic orbitals experimental atomization energies

Atomic orbitals relative energies

Azines molecular orbital energies

Based on Molecular Orbital Energies

Bent orbital energies

Benzene orbital energies

Beryllium atom orbital energies

Bond Orbital Energies

Bonding molecular orbitals energy levels

Bonding orbital energy diagrams

Boron atom orbital energies

Calculations, band theory orbital energies

Canonical orbitals orbital energies

Carbon atom orbital energies

Carbon monoxide, orbital energy diagram

Chemical Reactivity Indices in Orbital Energy Representation

Chromium orbital energies

Computed molecular orbital energy level diagrams

Confined atoms, electronic structure orbital energies

Cooper orbital energies

Corrections for Orbital Energy Gaps in Solids

Cyclobutadiene molecular orbital energy

Cytosine, molecular orbitals, energy

D orbitals, energies

D-Orbital energies

Diatomic molecule, orbitals ionization energy

Diatomic molecules molecular orbital energy level

Dirac-Fock orbital energies

Dirac-Hartree-Fock orbital energies

Dunning basis sets orbital energy calculations using

Dynamic electron correlation energy orbitals

ENERGY LEVELS OF ATOMIC ORBITALS

ENERGY-LEVEL DIAGRAMS DESCRIBE HOW ORBITALS ARE OCCUPIED

Electron Densities and Frontier Orbital Energies

Electron spin-orbit energy

Electronegativity relationship to orbital energy

Electronic frontier molecular orbital energy

Electrostatic effects on orbital energies

Elemental orbital potential energies

Energies affecting orbital interactions

Energies of Atomic Orbitals in Many-Electron Systems

Energies of Molecular Orbitals

Energies of frontier orbitals

Energy Levels of Different Molecular Orbitals

Energy and Charge Distribution Changes from Orbital Interaction

Energy atomic orbital

Energy bond, spin-orbit reduction

Energy eigenvalues, orbital Schrodinger equation

Energy level diagrams molecular orbital

Energy level orbitals

Energy levels molecular orbital calculations

Energy levels molecular orbital theory

Energy levels of hydrogenic orbitals summary

Energy levels of molecular orbitals

Energy of atomic orbitals

Energy of highest occupied molecular orbital

Energy of lowest unoccupied molecular orbital

Energy of orbitals

Energy spectrum periodic-orbit structures

Estimation of Orbital Energies

Explicit construction of the energy density functional within an orbit

Fermi energy orbitals near

Fluorine atom orbital energies

Free, electron molecular orbital theory energy

Frontier molecular orbital energies

Frontier orbital energies

Frontier orbital energies, definition

Frozen-orbital approximation excitation energies

Gaussian basis sets orbital energy calculations using

Gaussian functions orbital energy calculations with

HOMO and LUMO orbitals, energy

HOMO orbital energies

Hartree-Fock orbital energies

Hartree-Fock orbital energies table)

Hartree-Fock theory orbital energies

High-energy antibonding orbital

Highest energy occupied orbitals

Highest occupied molecular orbital HOMO) energy

Highest occupied molecular orbital energy

Highest occupied molecular orbital energy average

Highest occupied molecular orbital energy levels

Highest occupied molecular orbital hole injection energy levels

Highest-energy occupied molecular orbitals

Highest-occupied molecular orbital energy eigenvalue

Hiickel molecular orbital theory energy

Hybrid atomic orbitals Hybridization energy

Hybrid orbitals energies

Hybridization, orbital energies

Hydrogen atom orbital energy

Hydrogen atom orbital energy-level diagrams

Hydrogen fluoride orbital energies

Hydrogen molecule orbital energies

Hydrogen orbital energies

Hydrogen-like species, orbital energies

Inner-orbital binding energies

Kohn orbital energies

Kohn-Sham orbital energies

LUMO Energies and Orbital Coefficients

LUMO orbital energies

Lagrange multiplier orbital energy

Least-squares orbital energies

Ligand Field Stabilization Energy molecular orbital theory

Lithium atom orbital energies

Lithium orbital energy

Low-energy bonding orbital

Lower energy doubly occupied orbital

Lowest energy occupied orbitals

Lowest energy unoccupied molecular orbitals

Lowest unoccupied molecular orbital LUMO energy levels

Lowest unoccupied molecular orbital LUMO) energies

Lowest unoccupied molecular orbital energy

Lowest unoccupied molecular orbital energy average

Lowest unoccupied molecular orbital energy level

Lowest unoccupied molecular orbital hole injection energy levels

Lowest-energy molecular orbitals

Methane orbital energies

Molecular energies orbital

Molecular orbital Energy levels

Molecular orbital calculations dissociation energy

Molecular orbital energy and shape

Molecular orbital energy diagram

Molecular orbital energy level scheme for

Molecular orbital energy level schemes

Molecular orbital energy, experimental

Molecular orbital energy, experimental determination

Molecular orbital higher-energy

Molecular orbital lowest-energy

Molecular orbital theory: energies

Molecular orbitals chemical bond energy from

Molecular orbitals energies

Molecular orbitals energy and

Molecular orbitals energy level diagrams

Molecular orbitals ground state energy

Molecular orbitals minimizing energy with respect

Molecular orbitals nuclear binding energy

Molecular orbitals orbital energies

Molecular orbitals potential energy

Molecular orbitals quantum energy

Molecular orbitals relative energies

Molecular orbitals, energy levels

Molecular-Orbital Energies in

Molecular-Orbital Energy-Level Scheme for LiH

Multi-electron atoms orbital energy

Neon atom orbital energies

Neutral atoms orbital energies

Nitric oxide molecular orbital energy-level

Nitrogen atom orbital energies

Nitrogen orbital energies

One-electron orbital energies

Open Shell Atomic Beam Scattering and the Spin Orbit Dependence of Potential Energy Surfaces

Orbital Energies and Interaction Matrix Elements

Orbital Energies and Ionization Potentials

Orbital Energies and Total Electronic Energy

Orbital Energies for Five-Coordinate Complexes above

Orbital Ionization Energies

Orbital angular momentum energy

Orbital energies and

Orbital energies and Koopmans theorem

Orbital energies degeneracy

Orbital energies description

Orbital energies for conjugated ring systems of 3-9 carbon atoms

Orbital energies in a hydrogen-like species

Orbital energies in benzene

Orbital energy Definition

Orbital energy diagram complexes

Orbital energy diagrams

Orbital energy electron repulsion and

Orbital energy functions

Orbital energy level

Orbital energy level diagram

Orbital energy level diagrams and

Orbital energy level diagrams for

Orbital energy nuclear charge and

Orbital energy of electrons

Orbital energy penetration

Orbital energy shielding

Orbital energy transfer

Orbital energy using Slater double-zeta functions

Orbital energy, It)

Orbital functionals kinetic energy

Orbital interaction energy

Orbital interaction energy decomposition

Orbital interaction kinetic energy density

Orbital interactions energy separation

Orbital interactions metal, energies

Orbital overlap and energy

Orbital overlap energy raising

Orbital potential energies

Orbitals and Orbital Energies

Orbitals and Their Energies

Orbitals and crystal field splitting energies

Orbitals energy

Orbitals energy

Orbitals energy differences between subshells

Orbitals energy-level diagrams

Orbitals energy-localized

Orbitals interaction energy

Orbitals ionization energy

Orbitals relative energies

Orbitals shapes and energies

Orbitals, amplitude energy

Orbits, atomic energy

Order of orbital energy levels in crystal field theory

Outermost orbital energy invariance theorem

Oxygen atom orbital energies

Oxygen orbital potential energies

Periodic orbits and scaled energy spectroscopy

Periodic orbits energy spectrum

Periodic orbits period-energy diagram

Phenanthrene HMO orbital energy levels

Porphin, molecular orbitals, energy

Potential energy orbitals

Quinolines orbital energies

Relativistic orbital energies

Resonant orbital energy

SCF orbital energy

Scandium orbital energies

Semiempirical molecular orbital method repulsive energy

Separated molecular orbitals partitioned energy

Singly occupied molecular orbital dissociation energy

Slater functions orbital energy calculations using

Spin orbit interaction energy

Spin orbital pair energies

Spin-orbit coupling energy parameters

Spin-orbit effects on total energies and properties

Spin-orbit energies

Spin-orbit energies/splittings

Spin-orbit energy corrections

Spin-orbit interaction energy parameters

Spin-orbit splitting energy Aso

Split-valence basis sets orbital energy calculations using

Splitting of d Orbital Energies in Octahedral Fields

Splitting of the 3d orbital energies

The Chemical Bond Energy from Molecular Orbitals

The Chemical Bond Formation Energy Based on Rigid Atomic Orbitals

The Molecular Orbital Energy

The Relative Energies of Atomic Orbitals from Electronegativity

The energies of molecular orbitals in diatomic molecules

The introduction of quantum mechanics atomic orbitals and orbital energies

Thymine, molecular orbitals, energy

Transition metals orbital energies

Tt orbital energy levels

Two-Point Approximate Orbital-Free Kinetic Energy Functionals

Valence molecular orbital energies

Valence orbital potential energies

Water orbital energies

X-orbital energies

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