Angular Boltzmann constant

The formulas for the statistical characteristics are given as a generalization of the expressions obtained in Section IE. These characteristics depend now on three model parameters angular well width p, mean lifetime x, and the reduced well depth u = Uo/(kBT), where fcB is the Boltzmann constant and T is the temperature. 

Here s(co) = s (co) + ie" (co) is the permittivity with the complex-conjugation symbol omitted, is the refractive index at infinite frequency, Vis the volume of the simulation cell, kB is the Boltzmann constant, X is the wavelength, and T is temperature. M is the total dipole moment of the simulation cell with the angular brackets indicating the ensemble average. The dipole moment is computed as... 

The SI system defined in terms of fundamental constants as discussed above is more closely related to atomic scale phenomena than to macroscopic scale standards, as is presently the case. Hence, the name Quantum SI might be appropriate for the new system. It is quantum in the sense that it uses the Planck constant, the quantum of action and angular momentum the elementary charge, which is quantized the Boltzmann constant, which appears in the Planck radiation formula and the mole directly defined as a number of entities, rather than in terms of mass, which emphasizes the role of atoms and molecules. The present day definitions of the kilogram, ampere, and kelvin, and mole are independent of quantum phenomena, since they are based on concepts that predate such knowledge. 

Here k is the Boltzmann constant, J the total angular momentum and E. the energy for state i. ... 

Doppler effect function, Eq. (19) total neutron angular momentum Boltzmann constant multiplication constant neutron orbital angular momentum likelihood function, Eq. (81) statistical sample size in Section IX isotopic number density statistical distribution function, Eq. (75) defined by Eq. (91)... 

The association rate data determined in this study can be used to make quite a precise binding energy estimate for the aluminum ion-benzene complex. The relation between the association rate constant and the binding energy was made with use of phase space theory (PST) to calculate as a function of E, with a convolution over the Boltzmann distribution of energies and angular momenta of the reactants (see Section VI). PST should be quite a reasonable approximation for... 

The following variables are used in Eqs. (1) and (2) HAB is the electronic coupling matrix element that permits ET to occur h is Planck s constant k is Boltzmann s constant T is absolute temperature s is the reorganization energy of the solvent vibrations associated with ET wy is the angular frequency of the quantized, high-energy molecular vibration associated with ET, such that ooy/27r = m in the... 

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