Fujikawa, "Quantum statistical approach to Debye-Waller factor in EXAFS, EELS and ARXPS.

Ishii, "Note on the K extended X-ray absorption fine-structure Debye-Waller factor," Journal of Physics: Condensed Matter, vol.

As a criterion of the satisfactory overall fit, the distance and Debye-Waller factor characteristics of Ru-Pt interactions determined at Ru edge should be the same as those of the PtRu interactions determined at Pt edge.

(c) [DELTA][[sigma].sup.2]: the difference in Debye-Waller factors between sample and standard.

where [a.sup.D.sub.h] = ([a.sub.1][l.sup.D.sub.1] + [a.sub.2][l.sub.2])/[l.sub.D] is the mean scattering capacity and [f.sub.D] = ([f.sub.1][l.sup.D.sub.1] + [f.sub.2][l.sub.2])/[l.sub.D] is the mean static Debye-Waller factor from the layers [l.sub.D] in the structure of the superlattice.

The static Debye-Waller factor of the dividing layer of the period of the superlattice GaAs [f.sub.1] = 0.9, and of the InGaAs layer with the quantum dot [f.sub.2] = 0.81.

where [f.sub.av] is a representative atomic scattering factor (e.g., carbon), [B.sub.av] is an estimated overall

Debye-Waller factor, [lambda] is the incident wavelength and 2[alpha] is the monochromator take-off angle.

where the first term, linear with [q.sup.2], corresponds to the translational diffusion of the molecular cluster with the self-diffusion coefficient [D.sub.coll] and the second term corresponds to the single-particle jumps with the self-diffusion coefficient [D.sub.s-p]; exp(-2W) [similar to] 1 is the

Debye-Waller factor; [[Tau].sub.0] is the residence time of water molecule between two jumps.

The good agreement between the experimental and theoretical curves was obtained at the static

Debye-Waller factor f = exp (-W) [approximately equal to] 0.26 for the specimen with the TO-pores.

where [([[micro].sub.z]).sub.j] is the thermal average of the aligned magnetic moment of the magnetic ion at the jth site at position [r.sub.j], [W.sub.j] is the

Debye-Waller factor for the jth atom, [f.sub.j]([tau]) is the magnetic form factor (Fourier transform of the magnetization density), and the sum extends over all magnetic atoms in the unit cell.

Moreover, when interaction between the guest molecules and the matrix is weak, the phonon side band absorption is weak, and the Debye-Waller factor is close to unity.

It is known (8) that three factors, i.e., the decrease in Debye-Waller factor, the broadening of homogeneous width resulting from dephasing of the electronically excited state by electron-phonon interaction, and the spectral diffusion proces induced by local structural relaxation of the matrix polymer, are supposed to widen and shallow the hole profiles with increasing temperature.