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Oscillating molecules

Oscillating molecules that control their own expression in a circadian fashion seem to be very important for generating circadian rhythms. [Pg.239]

If we (1) take a reduced mass of two oscillating molecules equal to (1/2) ntgM— that is, equal to half of the mass of one water molecule (mH is mass of a proton and M is the molecular mass)—and (2) set il = 2ncvR, where vR is a peak-absorption frequency of the R-band (v,r 190 cm ), then we find for water the following estimation ... [Pg.259]

If one organic compound has dominated the historical literature of the last few years, that compound must be benzene. Most probably, this is because its structure in some respects marks a transition from the most austere form of classical organic chemistry, in which carbon was tetravalent and tetrahedral, to a continuing series of changes from oscillating molecules, through partial valencies to MO descriptions, and Huckel s rules of aromaticity. It is the case par excellence of a single substance whose history intersects all major streams of chemical theory - except perhaps the periodic law - and which also has enormous industrial and economic importance. [Pg.64]

In most of the more recent classical approaches [18], no allusion to Ehrenfest s (adiabatic) principle is employed, but rather the differential equations of motion from classical mechanics are solved, either exactly or approximately, subject to a set of initial conditions (masses, force constants, interaction potential, phase, and initial energies). The amount of energy, AE, transferred to the oscillator is obtained for these conditions. This quantity may then be averaged over all phases of the oscillating molecule. In approximate classical and semiclassical treatments, the interaction potential is expanded in a Taylor s series and only the first two terms are retained. [Pg.177]

To determine the scattered radiation spectrum of an oscillating molecule under conditions of resonance excitation, we must consider how the polarizability a varies not only with normal modes of vibration but also with frequency of the incident radiation that excites them. For a molecule in a molecular state ) (initial) perturbed by the electromagnetic wave of frequency vq so that it passes into a molecular state I /) (final) while scattering light of frequency vo r (v = V/ - Vg), the matrix elements of a for the vibrational transition k, [oipa]k, are given by the Kramers-Heisenberg-Dirac (KHD) dispersion equation ... [Pg.6340]

The error obtained in using this formula for the harmonic oscillator molecule will be discussed in the next section. [Pg.381]

Vfj free volume of plasticizer (volume occupied by oscillating molecules of plasticizer... [Pg.223]

Despite the ct that the detonation products are gaseous (except solid carbon and metal oxides), Eq. (5.61) assigns certain solid properties of them. This may be understood if the detonation products are considered to be an ordered community of oscillating molecules. By this approach, the isentrc c reference value of pressure (pr) is composed of three summands the intermolecular attraction, the repulsion forces, and the zero point portion of the grid oscillations. The intermolecular attraction and the repulsion forces can be among others expressed via exponential expressions, whereas the zero px)int portion with r = const, is obtained, because p=- /PV and pV= FE through the sequence of powers risen in CV Thus, the equation known as the JWL... [Pg.197]

The incident radiation is described by. B =. Eq cos coot and the vibrational mode is described by Qi = cos coit. After substituting these two expressions into the above equation, we get a description for scattered light by an oscillating molecule. [Pg.8766]


See other pages where Oscillating molecules is mentioned: [Pg.137]    [Pg.296]    [Pg.17]    [Pg.3]    [Pg.135]    [Pg.2]    [Pg.335]    [Pg.368]    [Pg.391]    [Pg.2]    [Pg.141]    [Pg.368]    [Pg.391]    [Pg.144]    [Pg.141]    [Pg.460]    [Pg.8521]    [Pg.8766]    [Pg.8766]    [Pg.26]    [Pg.371]   
See also in sourсe #XX -- [ Pg.223 ]




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