Shift coefficients

The nondimensional attenuation coefficient, a, and the phase shift coefficient, (3, are (Roberts and Valocchi, 1981) ... 

For small TB, or large Vo = eo > it is reasonable to conjecture that Aint is dominated by single visits of the electron at the reference site B. In that case, we expect the proportionality Aint w(z +cos ), with a real coefficient w. This yields the same dependence of T on cos

depends only weakly on E, then this shift has little effect on the determination of q.qB. 

The above expressions confirm the known (Ferry 1980) method of reducing the dynamic modulus measured at different temperatures to an arbitrarily chosen standard temperature Tref, while offering a relatively insignificant improvement on the usual shift coefficient... 

Precise data on the collisional shifts in In+ are presently not available and an estimate can only be based on data from comparable atomic systems. Assuming a shift coefficient of 10-10 cm3/s and ultrahigh vacuum conditions (5 10-8 Pa), the collisional frequency shift would be 1 10-18. 

On the other hand, the relaxation function of (i4) knots is directly connected to that of i-chains by a mere shift, e.g. Fjj(t) = Fj(at). In other words, in a monodisperse polymer the knots are renewed at a rate proportional to that of the chain segments. The shift coefficient a is assumed to be length-independent, allowing the... 

When an iron catalyst is utilized in an FTS process, water gas shift, as expressed by equation [2], is always an important reaction. This property makes the iron catalyst more suitable for a carbon-rich syngas produced from coal. A water gas shift coefficient was calculated by the following equation to evaluate the WGS activity ... 

These coefficients can be used to test the physical system, as the slit separation of the source can be extracted from the relative shift coefficients. From one side Zemax modelling allows us to calculate the Focal Plane Scale (FPS), which gives us information of the deviation of angle A9 of incidence of the rays on the antenna when the source position is shifted a distance d in the way... 

At = shift coefficient Do = reference temperature density To = reference temperature D = density at temperature of interest T = temperature of interest... 

The literature indicates that for glassy amorphous polymers the best choice of a reference temperature is the glass transition temperature and the density at this temperature. If this temperature is used between the glass transition and the melting point of a polymer it follows that the following equation describes the relationship between the shift coefficient and temperature ... 

T Lang, M Motzkus. Determination of line shift coefficients with fs time resolved CARS. J Raman Spectrosc 31 65-70, 2000. 

The pressure shift and pressure broadening of the spectral lines are primarily due to the collisions of the molecules. The study of these effects provides information on the mechanism of the molecular interactions which are mainly of dipole-dipole type. In addition, the experimental determination of the line broadening and line shift parameters is instrumental in the spectroscopic study of the atmosphere, where the absorption or emission of IR radiation takes place from regions where the pressure may change by several orders of magnitude. These effects are relatively small for example, for the P and R branches of the V3 band of C 02 at 2350 cm broadened by N2 at 296 K, broadening coefficients in the 0.066-0.089 cm" atm" range and shift coefficients of -0.0016-0.0037 cm" atm" have been reported by Devi and co-workers. 

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