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Vibration transverse

Here the Q are the generalized normal coordinates and the to are the associated harmonic frequencies. They are obtained at each point on the path by diagonalizing the force constant matrix for which the reaction path direction as well as directions corresponding to rotations and translations have been projected out. The projected force constant matrix has seven zero eigenvalues corresponding to overall rotations, translations, and the reaction path direction. It also has 3N-7 nonzero eigenvalues corresponding to vibrations transverse to the path. [Pg.61]

A soap film has many properties in common with an elastic membrane. If it is contained by a circular ring it can be made to vibrate transversely, in a direction perpendicular to the ring, like a drum skin. These vibrations are... [Pg.171]

Ot resonating angular frequency of the optical mode of lattice vibration transverse waves, y attenuation constant, co angular frequency... [Pg.41]

It is evident Irom Fig. 10 that there are six distinct phonon modes in the monolayer graphite. The LO branch is a longitudinal optical mode. The LA branch is a longitudinal acousticlike mode. The ZO branch is a vertically vibrating transverse optical mode. The ZA branch is a vertically vibrating acoustic-like mode. The SHO branch is a shear horizontal optical mode. The SHA is a shear horizontal acoustic-like mode. The last two SH modes appear because of the lack of mirror symmetry in these experiments (39). [Pg.279]

Miller, Handy, and Adams have recently shown how one can construct a classical Hamiltonian for a general molecular system based on the reaction path and a harmonic approximation to the potential surface about it. The coordinates of this model are the reaction coordinate and the normal mode coordinates for vibrations transverse to the reaction path these are essentially a polyatomic version of the natural collision coordinates introduced by Marcus and by Hofacker for A + BC AB 4- C reactions. One of the important practical aspects of this model is that all of the quantities necessary to define it are obtainable from a relatively modest number of db initio quantum chemistry calculations, essentially independent of the number of atoms in the system. This thus makes possible an ab initio theoretical description of the dynamics of reactions more complicated than atom-diatom reactions. [Pg.265]


See other pages where Vibration transverse is mentioned: [Pg.384]    [Pg.241]    [Pg.865]    [Pg.473]    [Pg.834]    [Pg.53]    [Pg.247]    [Pg.49]    [Pg.172]   
See also in sourсe #XX -- [ Pg.922 ]




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Temperature dependence transverse vibration

Thermal Effects on Transverse Vibrations

Transverse Vibrations in Viscoelastic Beams

Transverse lattice vibrations

Transverse vibration, lattice dynamics

Transverse vibrational modes

Transverse vibrations nonrigid dipoles

Transverse vibrations, structural-dynamical

Vibrational mode transverse optical

Water spectra transverse vibration

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