Deviation parameter

Relative standard deviation. One final deviation parameter is the relative standard deviation (RSD). It is calculated by dividing the standard deviation by the mean and then multiplying by 100 or 1000 ... 

The polarisation factor, C=D g. D j,. This is unity for polarisation, in which the electric field vector is perpendicular to the dispersion plane and cos(2 g) for polarisation in which the electric field vector lies in the dispersion plane. We may apply equation (4.20), which since h is real implies that Im(K o)=Im(K ), and, in order to express the solution simply, introduce the very important idea of deviation parameters, g and. These express the deviation of the incident and diffracted wavevectors from the kinematic assumption where k g = k ij =l/, and are defined as... 

In effect, the deviation parameters define the local refractive index of the crystal. The solution may now be expressed in terms of the relationship between the permissible deviation parameters... 

This equation defines the geometry of diffraction in the two-beam dynamical theory. The amphtnde ratio may also be expressed in terms of the deviation parameters as... 

We should first correct the wavevector inside the crystal for the mean refractive index, by multiplying the wavevectors by the mean refractive index (1 + IT). This expression is derived from classical dispersion theory. Equation (4. 18) shows us that is negative, so the wavevector inside the crystal is shorter than that in vacuum (by a few parts in 10 ), in contrast to the behaviom of electrons or optical light. The locus of wavevectors that have this corrected value of k lie on spheres centred on the origin of the reciprocal lattice and at the end of the vector h, as shown in Figure 4.11 (only the circular sections of the spheres are seen in two dimensions). The spheres are in effect the kinematic dispersion surface, and indeed are perfectly correct when the wavevectors are far from the Bragg condition, since if D 0 then the deviation parameter y, 0 from... 

Figure 4.12 Magnification of the region near Lq in Figure 4.11. L is the Lorentz point (the Lane point corrected for the mean refractive index). A is one of the tie-points selected on the dispersion surface, and o and are the deviation parameters at that point (shown on branch 2)...

The simplest expression for the rocking curve profile is in terms of a deviation parameter, which varies from -1 to +1 in the range of total reflection. The reflectivity as a function of angle is then... 

Figure 4.22 A plot of intensity as a function of deviation parameter and of crystal thickness...

In this chapter we discuss the computational implementation of the dynamical theory of diffraction Takagi-Taupin theory, the solution for grids and thin layers, HRXRD simulation, deviation parameters, strategies, effect of strain, dislocation and defect arrays. We then give a number of examples of simulations. 

At reasonably large angles the deviation parameter is given by ... 

Figure 10.15 Simulated image width as a function of deviation parameter in Bragg case weak beam topographs. Here, the specimen is set off the Bragg peak and an image of the defect occurs only when the lattice planes are locally rotated or dilated back into the Bragg condition. As this occurs only close to the dislocation core, the images are narrowed from those under strong beam conditions...

As we have already seen, the universal chart of gases assumes that all gaseous species exhibit the same sort of deviation from ideal behavior at the same values of 7, and V. This fact, known as the principle of corresponding states, is analytically expressed by the deviation parameter (or compressibility factor ) Z. For n =, ... 

Deviation parameter Zg is operationally expressed as a virial expansion on P or V ... 

Fig. 15 Occupancy parameter (12) and deviation parameter (0) as a function of spin speed (a) and concentration (b) of TMV solution for spin-assisted assembly of TMV particles on wrinkled surfaces [85]...

Quadrupole Splitting versus Bond Length Deviation. The bond length deviation parameter (JJi), calculated by the equation... 

Parameter Typical deviation (parameter plus guide word that makes sense)... 

RMSDP Root Mean Square Deviation Parameter... 

The results of Figs. 17.65a and b are also applicable to an /V-passage model in which there are N differently sized passages in a normal distribution about the nominal passage size. The channel deviation parameter needs to be modified for this case to... 

Results similar to those in Fig. 17.65a and b are summarized in Fig. 17.66 for the A-passage model of nonuniformity associated with equilateral triangular passages. In this case, the definition of the channel deviation parameter 8C is modified to... 

C Channel deviation parameter based on the passage width (defined by Eqs. 

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