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Maximum slope distance

Fig. 11. Temperature variation of the maximum slope distance (AH, ) in broad-line NMR spectra of MAA... Fig. 11. Temperature variation of the maximum slope distance (AH, ) in broad-line NMR spectra of MAA...
Parallel with this ESR study, broad-line NMR measurements were carried out at various temperatures. Figure 11 shows the temperature change in the maximum slope distance in the NMR spectrum of MAA. When the monomer was rapidly... [Pg.224]

The line widths recorded are the distances, in gauss, between the two maxima of the differential curve and thus represented the width of the absorption curve at the level of maximum slope. For a curve of Lorentzian shape, this width is equal to 0.577/T2, where T2 is the spin-spin or transverse relaxation time (12). Since the curves were not strictly Lorentzian (though they were so to well below the region of maximum slope) and in any case were not of identical shape, the recorded line widths do not have this exact theoretical significance, and small differences in width between two samples could be caused by shape differences rather than variations in relaxation phenomena. Nevertheless, since the conclusions drawn later from the observed line widths depend on major differences in level rather than subtle differences in numerical value, they should be perfectly valid. [Pg.350]

Computations of the EPR line shape made in ref. 71 with the help of eqn. (18) for the model distribution functions f(R) that are frequently used in radiation chemistry, have shown that the shape of the wings of the EPR lines is far more sensitive to changes in the distribution functions of radical pairs over the distances than to changes in such a conventionally used parameter as the line width between the points of the maximum slope, A//p. Thus, to estimate the distances of tunneling and their variations in the course of a reaction it is necessary to analyze the shape of the wings of the EPR lines. [Pg.263]

When conveying plastics a properly designed system is to take the shortest distance. The shortest distance between two points is a straight line. The maximum conveying distance is usually 800 equivalent ft (244 m). A gradual upward slope is never better than a vertical lift. When the plastic passes through a 45° or 60° elbow, it ricochets back and forth creating turbulence that destroys its momentum. [Pg.555]

Direct reading of the line positions shows fliat A = [4 /2, and flierefore 0. Numerical simulations that reproduce flie observed linewidth yielded the following hfi parameters fliso < 0.01 MHz T = -2.70 0.01 MHz. In order to reproduce the ENDOR linewidth, the anisotropic hfi constant was Gaussian-distributed with a width between the maximum slope points of ATi = 0.35 MHz. The spectrum simulated using these parameters is shown by open circles in Figure 1 lb. Assuming that the anisotropic hfi is fully determined by the spin population on the central Gd(lll) ion, one can estimate flie Gd-proton distance as... [Pg.605]

Equation (6.8), to (d /dx)g. Figure 6.1 shows how the magnitude /r of the dipole moment varies with intemuclear distance in a typical heteronuclear diatomic molecule. Obviously, /r 0 when r 0 and the nuclei coalesce. For neutral diatomics, /r 0 when r qg because the molecule dissociates into neutral atoms. Therefore, between r = 0 and r = oo there must be a maximum value of /r. Figure 6.1 has been drawn with this maximum at r < Tg, giving a negative slope d/r/dr at r. If the maximum were at r > Tg there would be a positive slope at r. It is possible that the maximum is at r, in which case d/r/dr = 0 at Tg and the Av = transitions, although allowed, would have zero intensity. [Pg.139]

As we showed in Chapter 6 (on the modulus), the slope of the interatomic force-distance curve at the equilibrium separation is proportional to Young s modulus E. Interatomic forces typically drop off to negligible values at a distance of separaHon of the atom centres of 2rg. The maximum in the force-distance curve is typically reached at 1.25ro separation, and if the stress applied to the material is sufficient to exceed this maximum force per bond, fracture is bound to occur. We will denote the stress at which this bond rupture takes place by d, the ideal strength a material cannot be stronger than this. From Fig. 9.1... [Pg.93]

The higher reactivity of the Raney nickel coated plates is also illustrated by the plots of catalyst temperature vs. bed length (Figure 10). The maximum bed temperature (indicative of near-completion of metha-nation) was consistently reached within a shorter distance from the gas inlet, and the slopes of the curves are correspondingly steeper for the more reactive bed of parallel plates coated with Raney nickel. [Pg.117]

The principle of this method is that the initial slope (time = zero) of the optical density-time curve is proportional to the rate of flocculation. This initial slope increases with increasing electrolyte concentration until it reaches a limiting value. The stability ratio W is defined as reciprocal ratio of the limiting initial slope to the initial slope measured at lower electrolyte concentration. A log W-log electrolyte concentration plot shows a sharp inflection at the critical coagulation concentration (W = 1), which is a measure of the stability to added electrolyte. Reerink and Overbeek (12) have shown that the value of W is determined mainly by the height of the primary repulsion maximum in the potential energy-distance curve. [Pg.80]

The main objective of conducting LIFT flame spread experiments is to obtain material properties for predicting opposed-flow flame spread. On the basis of the analysis by deRis (see Equation 14.8), the flame heating parameter can be determined from the slope of a linear fit of l/yjvp(y) plotted as a function of qe (y), where y is the distance from the hot end of the specimen. The minimum surface temperature for spread, Tsmin, is calculated according to an expression akin to Equation 14.4 from the incident heat flux at the maximum distance from the hot end reached by the flame. [Pg.370]

Assume that a Gaussian peak of maximum signal height Sm and standard deviation peak maximum shift relative to its true value as a result of the sloping baseline ... [Pg.140]


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