Cross section ratio

Note that this ratio depends only on the ratio of measured yields, Qa/Qb, and knowledge of the cross-section ratio, oaIo - The hard-to-measure quantities Q and AQ have cancelled. 

Cornering stiffness (N/rad) 45,000 Tire cross-section ratio 0.6... 

Figure 11 Cross section ratios of He(2 P) vs. o(m- (From Ref. 142.) The horizontal lines show the limits of ajvi values if seen in parallel or perpendicular direction to the molecular axis.

In both classical and quantum-mechanical calculations, the measured velocity dependence of the associative Pgl Pgl cross-section ratio is well reproduced with the assumed functions V+(R) and T(/ ) and the determined function K+(/ ). 

T,(R) have to be extracted from experimental information on the individual transitions, in the same way as that described for a single transition in the previous sections. Such detailed studies have not been made. So far only cross section ratios have been discussed, and it has been tacitly assumed that these ratios are good approximations to the electronic branching ratios. From the classical formulas (II. 10) and (II.11) it is evident that this assumption is correct under the following two conditions (1) the true branching ratios at(R) must be nearly constant within the relevant R range, so that we may write... 

Schultz, P.J. and Campbell, J.L. (1985) Cross-section ratio for K-shell... 

Results are reported as contour plots of the cross-section ratios vs. the phase < and the parameter s =, x2/(l + x2 ). The value s = 0 corresponds to scattering the state with mx = 1 and s = 1 corresponds to scattering from the state m2 = 0. The ratio of cross sections is seen to vary from 0.05 to 0.079, sfi maximum and minimum that are well outside (up to factors of 1.22 and respectively) of the range of results for scattering from a single m state. Thus, i ratio of cross sections can be increased or decreased by approximately 20% f coherent control effects. 

Crawford bomb 66 cresylite = mixture of trinitrocresol and picric acid (french) crimping 66 critical diameter 66 CR-propellants = RDX containing rifle powders (USA) cross section ratio -> propellant area ratio 269 crusher 149 362 C.TD. = coefficient of detonation transmission (coefficient de self exitation) (french) 87 CTPB = carboxyl-terminated polybutadiene (USA) 61 329 cumulative priming 66 c.u.p. = coefficient d utilisation pratique (french) 198 cuprene 52 cupric salicylate 163 curing 67... 

It must be added that eqs. 14.6.2-3] apply for the case that the Stem layer only carries a current tangential to the surface. However, as discussed in sec. 3.13c. there are cases in which both tangential and normal fluxes occur in that layer. The ratio between and depends not only on the two conductivities and K or diffusion coefficients D. and D. but also on the area/cross-sectional ratio of the Stem layer segment under consideration. Usually this ratio is large, so that it is much easier for Incoming ions ( pumped" into the Stem layer by the applied field) to leave this layer towards the diffuse part than to continue their... 

Drowart et al. (1 ) have measured mass spectrometrically the ion intensity ratio fC as a function of temperature from 1800 to 2700 K. We derive from a 2nd law analysis of their data a H (2200 K) = 185.2 3.3 kcal, and S (2200 K) 74.9 2.8 cal K" mol" by calculation of the absolute pressure from the vapor pressure of monatomic carbon and a relative ionization cross-section ratio of 2.3. The entropy uncertainty includes 1.3 cal k" mol for uncertainty in the absolute pressure. Several earlier mass-spectrometric determinations (2, 3, 4) are in reasonable agreement. The absolute magnitude of the... 

There are a number of possible sources of error in the determination of cross section ratios from the fitting expression defined by (20) and (21), which will be examined in this paper. 

Multiple scattering and sample attenuation effects may change the fitted cross section ratios. 

DINSMS exactly incorporates resolution effects, multiple scattering and sample attenuation and is used in this paper to assess systematic errors introduced into cross section ratios, derived by fitting data with Eq. (20). 

It has been stressed [Blostein 2001 Blostein 2003 (a) Blostein 2003 (b) Cowley 2003] that an accurate determination of the incident neutron intensity I Eq) is essential for the determination of cross section ratios on VESU-VIO. I Eq) was measured using the VESUVIO incident beam monitor 1 (see Fig. 1). The incident energy of the neutrons is related to their time of flight measured in the monitor via... 

It should also be noted that any errors in either the assumed Jacobian dEo /dt, or I(Eo), would produce a consistent angular dependence in the cross section ratios of H to heavier atoms in all samples, which is not observed. The ratio ch/pd obtained from measurements on H O / D2O mixtures is essentially independent of angle. This is illustrated in Fig. 5, where this ratio is shown as a function of angle for three different values of D2O concentration r measured in Ref. [Chatzidimitriou-Dreismann 1997 (a)]. 

VESUVIO measurements on Nhi) [Karlsson 1999] and polystyrene [Karls-son 2003 (b)], also show ratios of 77 to heavier atom cross sections which are independent of angle. In contrast measurements on Formvar [Chatzidimitriou-Dreismann 2003 (a)], shown in Fig. 6, give a marked fall off in the H to heavy atom cross section ratio as the scattering angle and hence q is increased. Measurements on NbH [Karlsson 1999] have an even stronger angular dependence. Thus no single 7 value can explain anomalies observed in different samples. 

The solid line is the "conventional" cross section ratio, input to the simulation. It can be seen that with a Au analyser, the DINSMS simulation predicts that the CA introduces a systematic reduction of the observed ratio simulated data with Eq. (19) recovers the cross section ratios input to the simulations to within 1%, over the entire range of concentrations xp. 

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