Debye path length

Debye s technique is not always applicable and fails completely for complex, branched structures ( trees ). In such cases, a slightly different technique can be used. One special unit, say the j-th unit, can be selected as a reference point, and all pairs of units of the same path length can be grouped together, and the result may be summed over all path length occurring. We shall call the reference unit the root of the tree . To get the total double sum, each unit has to be selected as a root and the result of the summation over the different trees has to be added. This leads to the final result... 

Thermal diffusivity Temperature sensitivity Temperature difference Thickness of tube Aspect ratio, relation of Cp/Cy Fluid dielectric constant Wall zeta potential Dimensionless temperature Friction factor, Debye length Mean free path Dynamic viscosity Kinematic viscosity Bejan number Density... 

The different regions are delineated by the Debye length (d), the mean-free path (X), and the Larmor radius rL). In a plasma, there can be many mean-free paths, since there are many different types of particles (different neutral species, electrons and ions). Of primary interest are the mean-free paths for collisions between electrons and heavy particles (Xe) and ions and heavy particles (Xd). 

X length (m), wavelength, mean free path, or Debye mean free path ... 

We measured the variation of ai namely the Debye-Waller factor, arising from both static and dynamic disorder, compared to its value in the standard. Finally, we used a two-shell least-squares fitting procedure to extract the values of Nj(coordination numbers), Rj(bond distances) and Aoi. The photoelectron mean free path F has been fixed to its value in the standard. The XAS spectra recorded with the commercial formulations correspond to an averaging along the length of the monolith. 

The plasma is supposed to be at collisional chemical equilibrium, and such that the Debye length (equation [7.3]) is much larger than the mean free path of the charged species l, which justifies a collisional approach to the... 

Debye length (3.1.10b), mean free path of a gas molecule (3.1.114), filter coefficient (7.2.187), parameter for a dialyzer (8.1.399), parameter for a distillation plate/stage (8.3.38), latent heat of vaporization/condensation molecular conformation coordinate (3.3.89c) electrode spacings (7.3.18) retention parameter for species i (7.3.213), ionic equivalent conductance of ion i (3.1.108r) value of Xi for a cation value of A, for an anion value of A, at infinite dilution (Table 3.A.8) defined by (5.4.100) equivalent conductance of a salt (an electrolyte) (3.1.108s)... 

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