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Rotational-vibrational

Because of limitations of space, this section concentrates very little on rotational motion and its interaction with the vibrations of a molecule. However, this is an extremely important aspect of molecular dynamics of long-standing interest, and with development of new methods it is the focus of mtense investigation [18, 19, 20. 21. 22 and 23]. One very interesting aspect of rotation-vibration dynamics involving geometric phases is addressed in section A1.2.20. [Pg.58]

The above three sources are a classic and comprehensive treatment of rotation, vibration, and electronic spectra of diatomic and polyatomic molecules. [Pg.85]

This Is a readable and fairly comprehensive treatment of rotation-vibration spectra and their Interactions. [Pg.85]

The way we combine the nuclear spin basis fiinctions with the rotation-vibration-electronic basis fiinctions in H2 follows the same type of argument iism the nuclear penniitation group Rovibronic states of synnnetry... [Pg.174]

The rotation-vibration-electronic energy levels of the PH3 molecule (neglecting nuclear spin) can be labelled with the irreducible representation labels of the group The character table of this group is given in table Al.4.10. [Pg.177]

Pekeris C L 1934 The rotation-vibration coupling in diatomic molecules Phys. Rev. 45 98 Slater J C and Kirkwood J G 1931 The van der Waals forces in gases Phys. Rev. 37 682... [Pg.216]

This is the classic work on molecular rotational, vibrational and electronic spectroscopy. It provides a comprehensive coverage of all aspects of infrared and optical spectroscopy of molecules from the traditional viewpoint and, both for perspective and scope, is an invaluable supplement to this section. [Pg.282]

Figure A2.2.2. The rotational-vibrational specific heat, C, of the diatomic gases HD, HT and DT as a fiinction of temperature. From Statistical Mechanics by Raj Pathria. Reprinted by pennission of Butterwortii Heinemann. Figure A2.2.2. The rotational-vibrational specific heat, C, of the diatomic gases HD, HT and DT as a fiinction of temperature. From Statistical Mechanics by Raj Pathria. Reprinted by pennission of Butterwortii Heinemann.
The shielding at a given nucleus arises from the virtually instantaneous response of the nearby electrons to the magnetic field. It therefore fluctuates rapidly as the molecule rotates, vibrates and interacts with solvent molecules. The changes of shift widi rotation can be large, particularly when double bonds are present. For... [Pg.1445]

Total Nuclear Spin Rovibronic Vibronic Electronic" Rotational Vibrational... [Pg.581]

Statistical thermodynamics tells us that Cv is made up of four parts, translational, rotational, vibrational, and electronic. Generally, the last part is zero over the range 0 to 298 K and the first two parts sum to 5/2 R, where R is the gas constant. This leaves us only the vibrational part to worry about. The vibrational contr ibution to the heat capacity is... [Pg.321]

This Introductory Section was intended to provide the reader with an overview of the structure of quantum mechanics and to illustrate its application to several exactly solvable model problems. The model problems analyzed play especially important roles in chemistry because they form the basis upon which more sophisticated descriptions of the electronic structure and rotational-vibrational motions of molecules are built. The variational method and perturbation theory constitute the tools needed to make use of solutions of... [Pg.73]

Treating the full internal nuclear-motion dynamics of a polyatomic molecule is complicated. It is conventional to examine the rotational movement of a hypothetical "rigid" molecule as well as the vibrational motion of a non-rotating molecule, and to then treat the rotation-vibration couplings using perturbation theory. [Pg.342]

Explain in terms of physieal forees involved in the rotating-vibrating moleeule why rg... [Pg.365]

When applied to the rotation, vibration-rotation, or eleetronie-vibration-rotation eases within the "unhindered" rotation model treated earlier, the Fourier transform involves integrals of the form ... [Pg.431]


See other pages where Rotational-vibrational is mentioned: [Pg.337]    [Pg.167]    [Pg.180]    [Pg.472]    [Pg.560]    [Pg.872]    [Pg.874]    [Pg.899]    [Pg.1075]    [Pg.2795]    [Pg.79]    [Pg.488]    [Pg.1134]    [Pg.67]    [Pg.400]    [Pg.426]    [Pg.429]    [Pg.7]    [Pg.91]    [Pg.228]    [Pg.376]    [Pg.377]    [Pg.399]    [Pg.66]    [Pg.30]    [Pg.41]    [Pg.389]    [Pg.431]    [Pg.311]   


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85 vibration- rotation coupling molecular beams

Absorption spectra near-infrared, vibrational-rotational

And vibration-rotation bands

Angular momentum, vibration-rotation

Angular rotationally vibrating

Approximate separation of rotations and vibrations

Approximation decoupling of rotation and vibrations

Bands, vibration-rotation

Bands, vibrational-rotational

Basic principles of electronic, vibrational and rotational spectroscopy

Body-fixed frame, vibration-rotation

Born-Oppenheimer approximation vibration-rotation Hamiltonians

Branches rotation-vibration spectra

C2H2 vibration-rotation bands

Cartesian coordinates, vibration-rotation

Cartesian coordinates, vibration-rotation Hamiltonians

Chain rules, vibration-rotation Hamiltonians

Classical mechanics vibration-rotation Hamiltonians

Classical vibrational/rotational motion

Classical vibrational/rotational motion diatomic

Classical vibrational/rotational motion polyatomic

Coriolis elements, vibration-rotation

Correlation functions rotational-vibrational

Degrees of freedom, vibrational and rotational

Diatomic molecules vibration-rotation spectra

Differentials, vibration-rotation Hamiltonians

Differentials, vibration-rotation Hamiltonians derivatives

Dimensional matrix, vibration-rotation

Directional derivatives, vibration-rotation

Directional derivatives, vibration-rotation Hamiltonians

Displacement coordinates, vibration-rotation

Distribution vibrational-rotational

Electronic, vibrational and rotational energies

Electronic-vibrational-rotational spectroscopy

Energy level diagram showing electronic, vibrational, and rotational states

Energy levels diatomic vibrational/rotational

Energy levels polyatomic vibration/rotation

Energy transfer vibration-rotation

Equilibrium Statistical Distribution of Diatomic Molecules over Vibrational-Rotational States

Excitation transfer collisions Vibrational-Rotational

Excitation vibrational and rotational

Free molecules, vibration-rotation

From rotational and vibrational

Hamiltonian rotations vibrations

Hamiltonian vibration-rotational

Hydrogen vibration-rotation

Infrared Spectroscopy. Vibration-Rotation Spectra

Infrared rotation-vibration spectra, band

Infrared rotation-vibration spectra, band types

Infrared vibration rotation tunneling

Infrared vibration rotation tunneling spectroscopy

Internal coordinates, vibration-rotation

Internal coordinates, vibration-rotation derivatives

Intramolecular vibrational-rotational energy

Intramolecular vibrational-rotational energy transfer

Inversion splitting, vibration-rotation

Kinetic energy operator vibration-rotation Hamiltonians

Lasers vibrational-rotational transitions

Lattice vibrations coupled rotational-translational

Lattice vibrations rotation interaction

Lattice vibrations rotational

Lattice vibrations tunneling rotation

Measuring vectors, vibration-rotation

Molecular motion, vibration-rotation

Molecular rotations and vibrations

Molecular spectroscopy 1 rotational and vibrational spectra

Molecular spectroscopy rotation-vibration

Molecules rotational-vibrational spectroscopy

Molecules, rotational and vibrational

Multiplication generalization, vibration-rotation

Non-Adiabatic Rotational and Vibrational Reduced Masses

Nonlinear molecules, vibration-rotation

Nuclear motions Rotation and vibration

Operator vibration-rotational

Pseudorotation, vibration-rotation

Quantum numbers rotational-vibrational spectroscopy

RRKM theory rotational-vibrational energy transfer

Raman rotational-vibrational line

Relationships between potential functions and the vibration-rotation levels

Rotating vibrating molecule

Rotation-Vibration-Electronic Energy Levels and Standard Notation

Rotation-Vibration-Electronic Spectra of Diatomic Molecules

Rotation-vibration

Rotation-vibration

Rotation-vibration band spectra

Rotation-vibration eigenstate

Rotation-vibration energy, molecular internal

Rotation-vibration hyperfine structure

Rotation-vibration interactions linear triatomic molecules

Rotation-vibration microwave spectrum

Rotation-vibration spectrum

Rotation-vibration wave equation

Rotation-vibration wave functions, electric

Rotational and Vibrational Constants

Rotational and Vibrational Constants. Internuclear Distance

Rotational and Vibrational Spectra

Rotational and vibration-rotation spectra of polyatomic molecules

Rotational and vibrational energy

Rotational and vibrational energy of molecules

Rotational and vibrational relaxation

Rotational angular momentum coupling with vibrational

Rotational constants, vibration-rotation

Rotational spectra vibrational corrections

Rotational velocity, vibrational analysis

Rotational vibrating system

Rotational vibrations

Rotational vibrations

Rotational vibrations directional motion control

Rotational vibrations excited-state fragmentation

Rotational vibrations vibration coupling

Rotational-Vibrational Spectroscopy

Rotational-vibrational bands in the mid-IR

Rotational-vibrational correlations

Rotational-vibrational coupling

Rotational-vibrational energy levels

Rotational-vibrational energy transfer

Rotational-vibrational interconversion

Rotational-vibrational lines

Rotational-vibrational quantum states

Rotational-vibrational spectra

Rotational-vibrational states

Rotational-vibrational transitions

Rotations and vibrations of the diatomic molecule

Rotor parameters, vibration-rotation

Schrodinger equation vibration-rotation Hamiltonians

Selection rules vibration-rotation transitions

Separation of the vibrational and rotational wave equations

Separation of translational, rotational and vibrational motions

Shape coordinates, vibration-rotation

Spectroscopy vibration-rotation

Spectroscopy vibration-rotational

Statistical distribution over vibrational-rotational

Statistical distribution over vibrational-rotational states

The kinetic energy operators of translation, rotation and vibrations

The statistical mechanics of vibration-rotation spectra in dense phases

The vibration-rotation spectrum

Torsion vibrations tunneling rotation

Translational, Rotational and Vibrational Relaxation

Triatomic molecule, vibration-rotation

Triatomic molecule, vibration-rotation Hamiltonians

Tunneling rotation torsional vibrational splitting

Tunneling vibration-rotation

Vector additions, vibration-rotation

Vector derivative, vibration-rotation

Vector multiplication, vibration-rotation

Vibrating rotator

Vibrating rotator

Vibrating rotator calculations

Vibrating rotator, energy

Vibrating-rotator eigenfunctions

Vibrating-rotator energy levels

Vibration and Rotation of a Diatomic Molecule

Vibration and rotation of molecules

Vibration rotating equipment

Vibration rotation tunnelling

Vibration rotation tunnelling spectroscopy

Vibration rotational wave function

Vibration-rotation Hamiltonians

Vibration-rotation Hamiltonians angles

Vibration-rotation Hamiltonians magnitude

Vibration-rotation Hamiltonians projections

Vibration-rotation Hamiltonians rotations

Vibration-rotation band shapes

Vibration-rotation contributions

Vibration-rotation contributions rotational constants

Vibration-rotation coupling

Vibration-rotation coupling constant

Vibration-rotation excitation

Vibration-rotation interaction

Vibration-rotation interaction constants

Vibration-rotation spectrum of hydrogen chloride

Vibration-rotation transfer

Vibration-rotation transitions

Vibration-rotation tunneling spectra

Vibration-rotation tunneling spectroscopy

Vibration-rotational spectra

Vibration-rotational-tunneling

Vibrational and Rotational Relaxation Processes

Vibrational and Rotational Spectroscopy

Vibrational and rotational product state distributions

Vibrational and rotational quantum numbers

Vibrational and rotational sublevels

Vibrational anharmonicity rotational levels

Vibrational derivatives, vibration-rotation

Vibrational energy rotational spectra

Vibrational rotational excitation

Vibrational rotational interactions, effects

Vibrational temperature from rotational

Vibrational wave function interaction with rotation

Vibrational, rotational, and

Vibrational, rotational, and for O2 from reverse ozone forming

Vibrational, rotational, and translational energy distributions

Vibrational-rotational Hamiltonian

Vibrational-rotational Raman spectra

Vibrational-rotational energy

Vibrational-rotational energy, formulas

Vibrational-rotational frequencies

Vibrational-rotational levels

Vibrational-rotational motions

Vibrational-rotational partition functions

Vibrational-rotational partition functions applications

Vibrational-rotational partition functions atom + diatom

Vibrational-rotational spectra, for frequency

Vibrational-rotational spectra, for frequency calibration

Vibrational-rotational, translational

Vibrational-rotational, translational V-R, T) energy transfer

Vibrational-to-rotational energy transfer

Vibrational/rotational interaction

Vibrationally-rotationally cold

Vibrations diatomic molecule rotational excitation

Vibrations. Force Constants. Rotational Barriers

Volume elements, vibration-rotation

Wave function, vibrational-rotational

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