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Molecular Energy

It would appear that identical particle pemuitation groups are not of help in providing distinguishing syimnetry labels on molecular energy levels as are the other groups we have considered. However, they do provide very usefiil restrictions on the way we can build up the complete molecular wavefiinction from basis fiinctions. Molecular wavefiinctions are usually built up from basis fiinctions that are products of electronic and nuclear parts. Each of these parts is fiirther built up from products of separate uncoupled coordinate (or orbital) and spin basis fiinctions. Wlien we combine these separate fiinctions, the final overall product states must confonn to the pemuitation syimnetry mles that we stated above. This leads to restrictions in the way that we can combine the uncoupled basis fiinctions. [Pg.173]

Gianturco F A 1979 The Transfer of Molecular Energies by Collision (Heidelberg Springer)... [Pg.1085]

Pulay P 1977 Direct use of the gradients for investigating molecular energy surfaces Appiications of Eiectronic Structure Theory ed H F Schaefer III (New York Plenum) p 153... [Pg.2356]

Cottrell T L and McCoubrey J C 1961 Molecular Energy Transfer in Gases (London Butterworths)... [Pg.3015]

Yardley J T 1980 Introduction to Molecular Energy Transfer (New York Aoademio)... [Pg.3016]

Bernhard R. Brooks, Robert E. Bruccoleri, Barry D. Olafson, David J. States, S. Swaminathan, and Martin Karplus. CHARMM A program for macro-molecular energy, minimization, and dynamics calculations. J. Comp. Chem., 4(2) 187-217, 1983. [Pg.96]

Conformational Adjustments The conformations of protein and ligand in the free state may differ from those in the complex. The conformation in the complex may be different from the most stable conformation in solution, and/or a broader range of conformations may be sampled in solution than in the complex. In the former case, the required adjustment raises the energy, in the latter it lowers the entropy in either case this effect favors the dissociated state (although exceptional instances in which the flexibility increases as a result of complex formation seem possible). With current models based on two-body potentials (but not with force fields based on polarizable atoms, currently under development), separate intra-molecular energies of protein and ligand in the complex are, in fact, definable. However, it is impossible to assign separate entropies to the two parts of the complex. [Pg.133]

Curtiss L A, K Raghavachari, G W Trucks and J A Pople 1991. Gaussian-2 Theory for Molecular Energies of First- and Second-row Compounds. Journal of Chemical Physics 94 7221-7230. [Pg.181]

These absorptions are ascribed to n-n transitions, that is, transitions of an electron from the highest occupied n molecular orbital (HOMO) to the lowest unoccupied n molecular orbital (LUMO). One can decide which orbitals are the HOMO and LUMO by filling electrons into the molecular energy level diagram from the bottom up, two electrons to each molecular orbital. The number of electrons is the number of sp carbon atoms contributing to the n system of a neuhal polyalkene, two for each double bond. In ethylene, there is only one occupied MO and one unoccupied MO. The occupied orbital in ethylene is p below the energy level represented by ot, and the unoccupied orbital is p above it. The separation between the only possibilities for the HOMO and LUMO is 2.00p. [Pg.197]

Exercise 9-9 MOPAC Molecular Energies Using GAUSSIAN94-W... [Pg.292]

The interaction of a molecular species with electromagnetic fields can cause transitions to occur among the available molecular energy levels (electronic, vibrational, rotational, and nuclear spin). Collisions among molecular species likewise can cause transitions to occur. Time-dependent perturbation theory and the methods of molecular dynamics can be employed to treat such transitions. [Pg.375]

SpartanView models provide information about molecular energy dipole moment atomic charges and vibrational frequencies (these data are accessed from the Properties menu) Energies and charges are available for all quantum mechanical models whereas dipole moments and vibrational frequencies are provided for selected models only... [Pg.1265]

A common application of the direct calculation of molecular energy is the study of organic reaction mechanisms. You can investigate the energies of different potential intermediates, species not easily studied by experiment. A review by Thiel lists many such 39. Thiel, W. Semiempirical Methods Current Status and Perspectives Tetrahedron, 44 7393, 1988. [Pg.131]

Laser light is produced from transitions between atomic or molecular energy levels. Generation of light requires two energy levels, E and E separated by the photon energy E of the light that is to be produced. [Pg.1]

Whereas the gas lasers described use energy levels characteristic of individual atoms or ions, laser operation can also employ molecular energy levels. Molecular levels may correspond to vibrations and rotations, in contrast to the electronic energy levels of atomic and ionic species. The energies associated with vibrations and rotations tend to be lower than those of electronic transitions thus the output wavelengths of the molecular lasers tend to He farther into the infrared. [Pg.6]

Atomic and Molecular Energy Levels. Absorption and emission of electromagnetic radiation can occur by any of several mechanisms. Those important in spectroscopy are resonant interactions in which the photon energy matches the energy difference between discrete stationary energy states (eigenstates) of an atomic or molecular system = hv. This is known as the Bohr frequency condition. Transitions between... [Pg.311]

Torsional strain refers to the component of total molecular energy that results from nonoptimal arrangement of vicinal bonds, as in the eclipsed conformation of ethane. The origin and stereoelectronic nature of torsional strain were discussed in Section 1.1.1. The... [Pg.171]

With increasing values of P the molar volume is in progressively better agreement with the experimental values. Upon heating a phase transition takes place from the a phase to an orientationally disordered fee phase at the transition temperature where we find a jump in the molar volume (Fig. 6), the molecular energy, and in the order parameter. The transition temperature of our previous classical Monte Carlo study [290,291] is T = 42.5( 0.3) K, with increasing P, T is shifted to smaller values, and in the quantum limit we obtain = 38( 0.5) K, which represents a reduction of about 11% with respect to the classical value. [Pg.97]

Molecular energies and structures Energies and structures of transition states Bond and reaction energies Molecular orbitals Multipole moments... [Pg.313]


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A molecular orbitals, energy

AMBER package molecular mechanics energy

Ab initio calculations of molecular orbital energies

Activation energy molecular orientation

Arrhenius activation energy molecular interpretation

Atomic Charges, Bond Properties, and Molecular Energies, by Sandor Fliszar

Atomic and Molecular Energies

Atomic and Molecular Orbital Energies

Atomic systems molecular energy levels

Atomic-molecular system, electronic energy

Axial trapping, molecular dyes in zeolite energy transfer

Azines molecular orbital energies

Based on Molecular Orbital Energies

Basic Concepts of Molecular Interaction Energy Values

Benchmark Calculations for Molecular Systems—Energy and Geometry

Binding energy molecular conductance

Binding energy molecular system simulations

Biomimetics. molecular energy conversion

Bond dissociation energies molecular species

Bonding energy, molecular

Bonding molecular orbitals energy levels

Born-Oppenheimer approximation, molecular potential energy

Born-Oppenheimer energy surface from molecular vibrations

By Yehuda Haas and Shmuel Zilberg The Crude Born-Oppenheimer Adiabatic Approximation of Molecular Potential Energies

Calculated lattice energies of molecular crystals

Calculation of molecular electronic wave functions and energies

Challenges in Molecular Energy Research

Clusters tight-binding molecular dynamics energy

Coat trapping, molecular dyes in zeolite energy transfer

Computed molecular orbital energy level diagrams

Cyclobutadiene molecular orbital energy

Cylinder morphology, molecular dyes in zeolite Forster electronic excitation energy transfer

Cytosine, molecular orbitals, energy

Derivatives of the Molecular Mechanics Energy Function

Diatomic molecules molecular orbital energy level

Dispersion energy molecular forces

Dissociation energy molecular

Distribution of Energy on a Molecular Time Scale

Distribution of molecular kinetic energies

Effects of the Surroundings on Molecular Transition Energies

Electronic frontier molecular orbital energy

Electronic structure molecular potential energy surfaces

Electrostatic energy, molecular dynamics

Electrostatic potential, molecular interactive interaction energy

Energies and molecular properties

Energies and wavenumbers of molecular vibrations

Energies of Molecular Orbitals

Energies of highest occupied molecular

Energies of lowest unoccupied molecular

Energy Calculations Based on Molecular Models

Energy Changes During a Molecular Collision

Energy Exchange in Molecular Collisions

Energy Levels and Molecular Spectra

Energy Levels of Different Molecular Orbitals

Energy Units and Molecular Spectra

Energy and the Molecular Coordination Sphere

Energy approximate molecular step

Energy changes, molecular

Energy conservation in molecular dynamics

Energy distribution, molecular dynamics

Energy internal molecular

Energy level diagram molecular structure

Energy level diagrams molecular orbital

Energy level molecular

Energy levels molecular orbital calculations

Energy levels molecular orbital theory

Energy levels molecules + molecular ions

Energy levels of molecular orbitals

Energy minimization, molecular mechanics and lattice statics

Energy molecular ion

Energy molecular kinetic energies

Energy molecular motion

Energy molecular probes

Energy of highest occupied molecular orbital

Energy of lowest unoccupied molecular orbital

Energy of molecular system

Energy operator for a molecular crystal with fixed molecules in the second-quantization representation. Paulions and Bosons

Energy profiles, molecular modelling

Energy states, molecular

Energy surface molecular geometry

Energy time series, molecular dynamics

Energy to molecular oxygen

Energy transfer, molecular

Energy transfer, molecular dyes in zeolite

Energy transfer, molecular dyes in zeolite channels

Energy transfer, molecular dyes in zeolite intrazeolite diffusion

Energy transfer, molecular dyes in zeolite migration experiments

Energy transfer, molecular dyes in zeolite probability calculations

Energy transfer, molecular dyes in zeolite spectral overlap

Energy transport, molecular

Energy, electronic molecular dissociation

Energy-Transducing Molecular Machines

Energy-level diagram, derived from molecular

Energy-level molecular system design, quantum

Excitation probability, molecular dyes in zeolite energy transfer

Force-field methods, calculation of molecular structure and energy

Forster energy transfer molecular glasses, absorption and emission

Free Energy by Molecular Simulation

Free energy simulations, types molecular dynamics

Free, electron molecular orbital theory energy

From molecular potential energy to rates of reaction

Front trapping, molecular dyes in zeolite energy transfer

Front-back trapping, molecular dyes in zeolite energy transfer

Frontier molecular orbital energies

Geometry, molecular potential energy surface

Gibbs energy molecular interpretation

HOMO (highest occupied molecular energy

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

Highest-energy occupied molecular orbitals

Highest-occupied molecular orbital energy eigenvalue

Hiickel molecular orbital theory energy

How Do We Determine Molecular Energies

Hydrogen molecular bond energy

Hydrogen molecular bond energy structure

Inter-molecular relaxation energy

Intermediate state energies, molecular

Intermediate state energies, molecular construction

Internal energy molecular interpretation

Internal energy molecular origin

Intramolecular vibrational energy molecular spectroscopy

Lattice energy calculation molecular dynamics

Lattice energy calculation molecular mechanics

Lennard-Jones potential energy function molecular dynamics calculations

Ligand Field Stabilization Energy molecular orbital theory

Lowest energy unoccupied molecular

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

MOLECULAR POTENTIAL ENERGY QUANTUM MECHANICAL PROBLEM

Markoff chain, molecular dyes in zeolite energy transfer

Minimum energy conformations molecular mechanics calculation

Minimum energy path , direct molecular

Mixtures molecular excess free energy

Molecular Configurations over Energy

Molecular Dynamics with Constant Energy

Molecular Rydberg states energy values

Molecular activation energy

Molecular adhesion energy

Molecular beam epitaxy reflection high energy electron

Molecular beam photofragment translational energy spectroscopy

Molecular binding energy

Molecular clusters stabilization energy

Molecular collisions potential energy surface

Molecular compounds bond energy

Molecular compounds, lattice energy

Molecular conformation conformational energies

Molecular conformer energies

Molecular crystals energy calculations

Molecular crystals energy transfer

Molecular descriptor energy descriptors

Molecular descriptor total interaction energy

Molecular dipole moments, interaction energies

Molecular dissociation energy sharing

Molecular dissociation energy transport

Molecular dynamics , potential energy

Molecular dynamics , potential energy basic principles

Molecular dynamics , potential energy future applications

Molecular dynamics and energy minimization

Molecular dynamics and potential energy surfaces

Molecular dynamics constant energy

Molecular dynamics energy

Molecular dynamics free-energy perturbation

Molecular dynamics potential energy surfaces interpolation

Molecular dynamics simulation energy conservation

Molecular dynamics simulation free energy calculations

Molecular dynamics simulation free energy perturbation

Molecular dynamics simulations electrostatic free energies

Molecular electron energy levels

Molecular electronic energies, analytical results

Molecular electronic energy

Molecular energies inversion

Molecular energies mechanics

Molecular energies orbital

Molecular energies rotation

Molecular energies speeds

Molecular energies translation

Molecular energies, calculated

Molecular energy atomic structure

Molecular energy bioenergetics

Molecular energy calculations

Molecular energy chemical bonding

Molecular energy density

Molecular energy levels, electronic component

Molecular energy minimization

Molecular energy product

Molecular energy quantum mechanics

Molecular energy storage reactions

Molecular energy transfer, acoustic

Molecular excess free energy

Molecular flexibility, conformational energy

Molecular flux thermal energy

Molecular force field, analytical energy

Molecular force field, analytical energy function

Molecular geometry energy diagram

Molecular hydrogen potential energy surfaces

Molecular integral evaluation kinetic-energy integrals

Molecular interaction energies

Molecular interactions dispersion energies

Molecular interactions electrostatic energies

Molecular interactions, energy frequencies

Molecular interpretation of Gibbs energy

Molecular ionization energies

Molecular kinetic energy

Molecular kinetic/potential energy

Molecular mechanical energy model

Molecular mechanical solvation energy

Molecular mechanics bonding energies

Molecular mechanics energies for

Molecular mechanics energy function

Molecular mechanics energy minimization

Molecular mechanics internal energy barrier

Molecular mechanics relative energies

Molecular mechanics strain energy calculations

Molecular mechanics “strain energy

Molecular modeling energy minimization

Molecular modeling energy minimization, dynamics simulation

Molecular modeling free energy

Molecular modelling bond stretching energy

Molecular modelling bond torsion energy

Molecular modelling conformational analysis energy

Molecular modelling energy

Molecular modelling kinetic energy

Molecular modelling local minimum energy value

Molecular modelling potential energy

Molecular nitrogen rotational energy

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 orientation surface energy

Molecular potential energy

Molecular potential energy curve

Molecular potential energy surface

Molecular potential energy surface changes

Molecular rotation rotational energy levels

Molecular simulations free energy perturbations

Molecular spectroscopy energy levels

Molecular strain energy

Molecular strain energy minimizing

Molecular structure and energy

Molecular structure and energy calculation of, by force-field

Molecular structure and energy, calculation of, by force-field methods

Molecular structure and potential energy

Molecular surface scattering potential energy surfaces

Molecular system energy states

Molecular system potential energy

Molecular system total energy

Molecular systems complex energy quantization

Molecular targets, energy deposition

Molecular vibration energy

Molecular vibrations excitation energy

Molecular vibrations zero point energy

Molecular, generally radical energies

Molecular-Orbital Energies in

Molecular-Orbital Energy-Level Scheme for LiH

Molecular-energy diagram

Molecular-level machines energy problem

Nitric oxide molecular orbital energy-level

Nuclear energy molecular change effects

Oxygen molecular ionization energies

Point trapping, molecular dyes in zeolite energy transfer

Polar energy molecular

Polyatomic reactions, molecular potential energy

Porphin, molecular orbitals, energy

Potential Energy Surface Molecular Structure, Transition States, and Reaction Paths

Potential Energy and Molecular Thermodynamics

Potential Energy of Molecular Interactions

Potential energy calculations, molecular

Potential energy calculations, molecular structure determination

Potential energy functions, molecular dynamics

Potential energy surfaces molecular dynamics principles

Potential energy surfaces molecular internal space

Potential energy surfaces molecular scattering

Potential energy surfaces molecular spectroscopy

Potential energy surfaces molecular systems

Potential energy surfaces time-dependent molecular theory

Potential energy time-dependent molecular theory

Principles of Molecular Spectroscopy Quantized Energy States

Reflection high energy electron diffraction, molecular beam epitaxy

Relation of Bond Energies to Other Molecular Properties

Rotation molecular energy levels

Rotation-vibration energy, molecular internal

Self-energy, molecular size and shape

Semiempirical molecular orbital method repulsive energy

Separated molecular orbitals partitioned energy

Singly occupied molecular orbital dissociation energy

State-changing collisions molecular energy transfer

Steric energy, molecular modelling

Surface energy molecular model

Surface energy, molecular

Surface energy, molecular measurement

Surface energy, molecular tension

The Chemical Bond Energy from Molecular Orbitals

The Molecular Machine That Stores Energy as ATP

The Molecular Orbital Energy

The alphabet of high energy molecular materials

The energies of molecular orbitals in diatomic molecules

The hydrogen molecular ion energy consideration

Theory and Experiment of Singlet Excitation Energy Transfer in Mixed Molecular Crystals

Thymine, molecular orbitals, energy

Tight-binding molecular dynamics energy models

Torsional energy barriers, molecular modelling

Total molecular energy

Trap fluorescence, molecular dyes in zeolite energy transfer

Vacuum molecular dynamics simulation energy calculations

Valence molecular orbital energies

Vibrational energy, molecular

Vibrational excitation energy, molecular

Vibronic molecular energy levels

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