Wave length exponent

Liggett and Devlin73 reported that a wave-length exponent of 5 appears to be a satisfactory reference curve for a number of refinery samples,... 

It is important to appreciate that particular values for the wavelength exponent, n, and the attenuation index, a, at some one wave length will characterize the entire transmittancy curve in the visible spectrum of the sugar solution. When a sugar liquor is treated with a solid adsorbent, the changes in the spectrophotometric curves in the visible spectrum are adequately defined by changes in the values of n and a (see Table I). This procedure promises to be an effective tool, both in research and in applications.31... 

The real and imaginary parts of permittivity at frequency v are obtained from the measurements of the medium wave lengths Xj and the attenuation exponents a of the samples. The solution of the wave equation under boundary conditions imposed by the geometry and dimension of the measuring cells yields the relations... 

Measurements of static light or neutron scattering and of the turbidity of liquid mixtures provide information on the osmotic compressibility x and the correlation length of the critical fluctuations and, thus, on the exponents y and v. Owing to the exponent equality y = v(2 — ti) a 2v, data about y and v are essentially equivalent. In the classical case, y = 2v holds exactly. Dynamic light scattering yields the time correlation function of the concentration fluctuations which decays as exp(—Dk t), where k is the wave vector and D is the diffusion coefficient. Kawasaki s theory [103] then allows us to extract the correlation length, and hence the exponent v. 

Constant K and the exponent a of the Mark-Houwink equation, 255 Constitutive properties, 60 Contact angle, 232 Continuous chain model, 489-90 Continuous wave NMR, 365 Contour length, 247, 490 Controllability, 800... 

This equation represents the motion of a harmonic plane wave that depends on space and time, with amplitude oscillating between uq exp(—ax2). The amplitude attenuates with the distance from the perturbative shearing plate, approaching zero as X2 -> oo. As a consequence, the exponent a in Eq. (16.262) is called the attenuating factor per unit length. The zeros of u in Eq. (16.262) occur when bx2 = = 1, 2, 3,..., at distances X2 = X./2, X,... 

The program will calculate STO-NG (for N = 1,2, or 3) wave functions for any two-electron diatomic molecule. The input parameters to the main subroutine HFCALC are an option to control the printing, the number of primitive Is Gaussian functions in which a Is Slater function is to be expanded, i.e., the N of STO-NG, the bond length R in atomic units, the two exponents Ci and C2 of the Is Slater functions, and the atomic numbers and Zg of the two nuclei. If... 

When J —> Jiim the damping length tends to infinity, that is to say the temperature disturbance is constant along z. Fiu-thermore, for J > Jum the power of the exponent of the first (long-wave) mode in Eq. (5.212) becomes complex, which means that this mode oscillates along 2. 

Levy and Souillard [214] have shown that in a fractal structure the wave functions for states near the Fermi level are superlocalized and decay as ip r) exp [-(/ / Lc) ], where is the localization length and is the superlocalization exponent, which is greater than unity (in Anderson localization ( 1). Deutscher et al. [215] predicted that the temperature dependence of the electrical conductivity that results from VRH between superlocalized states would be of the form (t T) exp [-(Tq/ 7) ], where y = + >) = 3/7. Harris and Aharony... 

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