Corrected intensity

If the actual intensity u is replaced by the corrected intensity which would be observed if intraparticle interference (see below) were of negligible consequence, then on substituting from Eq. (18) for //o and performing the integration we obtain for the similarly corrected turbidity... 

Fig. 45.—Ratio of observed to corrected intensity as a function of y/v = /2jZ /r / )2Tr sin (0/2) for flexible coils and (2ttL/ ) sin (6/2) for spheres of diameter L or rods of length L. (Doty and Edsall. )...

The composition of the analysed point is calculated from the corrected intensities by applying matrix corrections which take account of a number of factors... 

A method for correcting intensities from film data was proposed by Guinier [6] where two films were used. These were separated by a metal filter designed to absorb radiation X and let the more penetrating X/2 radiation through. Subtraction of the intensities on the second film from those on the first gave intensities free from X/2 contamination. 

What is the donor/acceptor ratio in a given cell Again, this ratio cannot be directly derived because it concerns two quantities that stem from fluorophores with different properties (absorption coefficient, quantum yield, spectra) and that emit into two channels differing in gain, filters, and excitation intensity. Thus, the (overlap corrected) intensity of acceptors in channel A will be a factor k times that of donors in D, at equimolar concentrations,3 or ... 

These new trajectories are the so-called reduced quantum trajectories [30], which are only explicitly related to the system reduced density matrix. The dynamics described by Equation 8.42 leads to the correct intensity (time evolution of which is described by Equation 8.40) when the statistics of a large number of particles are considered. Moreover, Equation 8.42 reduces to the well-known expression for the velocity held in Bohmian mechanics, when there is no interaction with the environment. 

The t-values obtained for different reflections are averaged and corrected Dcor. values are obtained corresponding to tav The corrected intensities are than Ihki,obs.,cor.= Ihki,obs/ Dhkkcor Finally the values of Ohki,cor. I are obtained from Ihki,obs.,cor using the kinematical formula for different specimen types. 

Although measurements with diffractometer interfaced with EDC cameras have been performed at 80-100 kv, however, this old-type system has a lot of limitations linked to the extremely long time (several hours) to scan ED patterns and the beam size (from microns to mm) of the electron diffraction cameras. Again, the problem of correcting intensities from dynamical contribution has not been addressed satisfactory, as primary extinction (dynamical) corrections have been proposed for known stmctures using the Blackman formula . ... 

In the diffraction experiment, Fhkl is available from the measured (and eventually absorption corrected) intensity of a reflection, Ihkt, according to equation 6, where L and p are geometric correction terms related to the diffraction experiment ... 

Figure 35. Electron spectrum for thermal collision system Ar(3P2 0)-H. Dashed line at low energy indicates estimated transmission corrected intensity.99,100...

Fig. 5.37 Development of SAXS intensity profiles during isothermal crystallization at 98°C of a PE-PEP diblock (3/w = 19.6kgmor frE = 0.56) (Rangarajan el al. 1995a). Each data set is the -corrected intensity integrated over 6s.

The total spectrum should then appear as nine lines of equal width and relative intensities 1 2 4 6 6 6 4 2 1. It is noteworthy that lines 1, 3, 5, 7, and 9 have the correct intensity ratios for the so-called five-line set, and lines 2, 4, 6, and 8 are in accord with experiment for the four-line set. All that is wrong is that the intensity of the four-line set relative to the five-line set is too great except for the barium salt of methacrylic acid at room temperature (Bamford and Ward, 1961). However, the predicted intensities are approached when the spectrum is measured at high temperature, and the deviation at lower temperature arises because of the greater width of the even lines relative to the odd ones. 

Corrected Intensities and Composition Calculated for Sulfonated Styrene Divinylbenzene Crosslinked Beads... 

Figure 4. NNLS solutions for the 6. F. Goodrich sample. Both solutions Including the Mle factor (mass) and without correction (Intensity) are shown.

The observed intensity or weight of analyte is then multiplied by r to give the corrected intensity or weight The substrate standard method requires that... 

Figures 6 and 7 give the corrected (AHi)i/2 values for PC and PMST. Figures 8 and 9 show the corrected intensity relation (7i ) 1/2/ (h )l/2 for PC and PMST. The relation NMe/Nm can be calculated from Equations 16 and 17 by the data obtained from Figures 1, 6, and 8 for PC and from Figures 2, 7, and 9 for PMST. Figure 10 displays these results for PC and for PMST.

A suitable description of a peak for advanced Scherrer analysis uses the expression in terms of the centroid and the variance of a peak. For the possible computation of these values, the explicit definitions are given in Equation (9) for the centroid and in Equation (10) for the variance expressed in units of the 20 scale. Conventions for a peak profile measured in a step-scan mode are as follows 20 = position of a peak increment, 1(20) = the background corrected intensity in cps for the increment, A20 = width of the increment ... 

The intensity for the PET and PBT crystalline bands in the blends must be corrected to take into account the contribution to these bands of the other component and the dilution effect also caused by it. The corrected intensity reflects the change in crystallinity of the PET and PBT phases individually, based upon the weight of that phase. In other words, the corrected intensity would be the observed intensity if the sample had only one component, and it would have crystallized at the same rate and manner as it did in the blend. 

For horizontally polarized excitation light, and Ihh are the intensities of the vertically and horizontally polarized fluorescence emissions, respectively. It is strongly recommended to use the background-corrected intensity values for the calculations. The background correction is determined by subtracting the intensity value obtained for the buffer with a certain polarizer setting from the intensity value for the sample obtained with identical settings. 

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