Scattering 9 with dashed line

Based on this physical view of the reaction dynamics, a very broad class of models can be constructed that yield qualitatively similar oscillations of the reaction probabilities. As shown in Fig. 40(b), a model based on Eckart barriers and constant non-adiabatic coupling to mimic H + D2, yields out-of-phase oscillations in Pr(0,0 — 0,j E) analogous to those observed in the full quantum scattering calculation. Note, however, that if the recoupling in the exit-channel is omitted (as shown in Fig. 40(b) with dashed lines) then oscillations disappear and Pr exhibits simple steps at the QBS energies. As the occurrence of the oscillation is quite insensitive to the details of the model, the interference of pathways through the network of QBS seems to provide a robust mechanism for the oscillating reaction probabilities. 

Figure 3. Mass diffusion coefficient D of the polyst3T ene-toluene solutions as a function of the polymer concentration. The open symbols indicate data obtained with an optical beam-bending technique [22] and the filled S3Tnbols data obtained from light scattering. The dashed line represents Eq. (5) and the solid curve represents Eq.(7).

FIGURE 6.3 wavefunctions for the last I -wave i = — 1 bound state (solid line) with E i ofh = —10.6 MHz and for the I -wave scattering state (dashed line) for E/h = 0.02 MHz E/k-Q = 1 xK) for two atoms. Both wavefunctions are given a common JWKB... 

Fig. 4.22 Changes in relative area for obtained from the fit values (peak I-IV) from 0.03 TCE/sa for MIES (a,c,e) and from 0.1tce/sa on for UPS (b,d,f)- The dosed amounts are plotted in log scale for better visibility of the submonolayer range corresponding ML marked with dashed line and gray area represents the range in which not all peaks are visible (Tabled.1). For Pt the d-band peak positions are shown, peak V is plotted in dashed lines (systematic errors). The error of these data is apparent from the data scatter, for details see text. Reprinted (adapted) with permission from [4]—Copyright (2012) Elsevier...

Rgure 3 Experimental and calculated results (a) for epitaxial Cu on Ni (001). The solid lines represent experimental data at the Cu coverage indicated and the dashed lines represent single-scattering cluster calculations assuming a plane wave final state for the Cu IMM Auger electron A schematic representation lb) of the Ni (010) plane with 1-5 monolayers of Cu on top. The arrows indicate directions in which forward scattering events should produce diffraction peaks in (a). 

Figure 5B. Correlation of right-angle light scatter measured by fluorometry and flow cytometry. The top panel shows flow-cytometric data of side scatter of fixed, stained cells during the time course of stimulation by 1-nM (solid line, solid circles) or 0.01-nH (dashed line, open circle) FLPEP. The bottom panel shows the corresponding right-angle light-scatter data acquired pseudo-simultaneously on live cells in the fluorometer. The flow-cytometric data have been averaged, but the fluorometry data are plotted for both duplicates from one donor. Reproduced with permission from Ref. 27. Copyright 1985 Rockefeller University Press.

Fig. 10 a UV-Vis DRS spectra of TS-1 (curve 1, full line), immediately after contact with H2O2/H2O solution (curve , dotted line), after time elapse of 24h (curve 3, dashed line) and after subsequent H2O dosage (curve 4, scattered squares), b as for a for the XANES spectra, c as for a for the -weighted, phase imcorrected, FT of the EXAFS spectra. Spectra 2-4 of b and c have been reordered at liquid nitrogen temperatime. Adapted from [49] with permission. Copyright (2004) by ACS... 

Figure 9. The measured momentum density of an aluminium film. In the left panel we show the measured momentum density near the Fermi level (error bars), the result of the LMTO calculations (dashed line) and the result of these calculations in combination with Monte Carlo simulations taking into account the effects of multiple scattering (full line). In the central panel we show in a similar way the energy spectrum near zero momentum. In the right panel we again show the energy spectrum, but now the theory is that of an electron gas, taking approximately into account the effects of electron-electron correlation (dashed) and this electron gas theory plus Monte Carlo simulations (solid line).

In Figure 4 the results from the three different groups are in excellent agreement for butanol concentrations of 90 wt% and greater, although the data from the Russian group scatter somewhat more around our results than do the values interpolated from Westmeier s data.(14.16). At lower amphiphile concentrations the isoperibolic calorimeter measurements are in noticeably better agreement with the data of ref. 16 than with the Russian work (14-16). However, almost all results fall within the 95% confidence interval (dashed lines) for our results. 

The results are shown in Figure 7. The lineshape indicated by the dashed line is the difference between spin echoes obtained with and without the 180° pulse applied to the C spins and represents the lineshape due to the surface Pt alone. Since this difference was only 10-20% of the signal, a large number of signals (more than a million ) needed to be averaged to obtain the data shown. Even so, a large amount of scatter in the data is evident. The "SEDOR" data was scaled to match the "spin echo" data at the vicinity of the peak. 

Figure 20 Temperature dependence of the a-relaxation time scale for PB. The time is defined as the time it takes for the incoherent (circles) or coherent (squares) intermediate scattering function at a momentum transfer given by the position of the amorphous halo (q — 1.4A-1) to decay to a value of 0.3. The full line is a fit using a VF law with the Vogel-Fulcher temperature T0 fixed to a value obtained from the temperature dependence of the dielectric a relaxation in PB. The dashed line is a superposition of two Arrhenius laws (see text).

Figure 8.3 The vibrational elastic and inelastic differential cross sections for electron scattering off LiF at = 5.44 eV (Alhassid and Shao, 1992b, where the source of the data is given). Solid lines with an improved dipole interaction [which breaks the 0(4) symmetry]. Long dashed lines the calculations by Bijker and Amado (1986). The short dashed lines are the Bom approximation.

Fig. 5. Schematic model of the nucleosome, with histone HI shown as stabilizing the fold of the DNA molecule around the core histones [based on results of Sperling and Sperling (1978)]. The nucleosome dimensions are derived from X-ray (Finch et al., 1977) and neutron (Baldwin et al., 1975 Pardon et al., 1977 Suauet al., 1977) scattering experiments. The histone core dimensions are derived from electron microscopic and X-ray studies (Sperling and Amos, 1977 Wachtel and Sperling, 1979 Sperling and Wachtel, 1979). The regions of the DNA molecule indicated by dashed lines indicate those base pairs which are not present in nucleosome core particles.

Figure 5.5 Comparison of rocking curve (small squares) with second trial simulation (dashed line). The effect of adding diffuse scatter is shown by the solid line...

Fig. 6.17 SANS of the poly(fluorosilicone) gel showing the excess scattering from frozen inhomogenieties at low Q. The dashed line corresponds to the dynamic part of the scattering, open circles are derived from NSE experiments, the solid circle was obtained by dynamic light scattering [291]. (Reprinted with permission from [291]. Copyright 2002 American Chemical Society)...

Fig. 6.20 Small angle scattering intensity (triangles log I) and effective diffusion DgfKQ) obtained from g=A carbosiloxane dendrimers with perfluorinated end groups in perfluo-rohexane. The dashed line is a fit to the prediction of a model for shape fluctuations of micro-emulsion droplets, the resulting bending modulus was 0.5 k T. (Reprinted with permission from [308]. Copyright 2003 Springer Berlin Heidelberg New York)...

Fig. 6.31 Normalised intermediate scattering function from C-phycocyanin (CPC) obtained by spin-echo [335] compared to a full MD simulation (solid line) exhibiting a good quantitative matching. In contrast the MD results from simplified treatments as from protein without solvent (long dash-short dash /me), with point-like residues (Cpt-atoms) (dashed line) or coarse grained harmonic model (dash-dotted line) show similar slopes but deviate in particular in terms of the amplitude of initial decay. The latter deviation are (partly) explained by the employed technique of Fourier transformation. (Reprinted with permission from [348]. Copyright 2002 Elsevier)...

Figure 12.27 (A) Scatter plot of the Hotelling P and Q residual statistics associated with the samples in the process spectroscopy calibration data set, obtained from a PCA model built on the data after obvious outliers were removed. The dashed lines represent the 95% confidence limit of the respective statistic. (B) The spectra used to generate the plot in (A), denoting one of the outlier samples.

Figure 7 Concentration dependence of the reduced light scattering intensity extrapolated to zero angle for PS-S03Li-40 in cyclohexane at 27.5°C. The solid line represents the model calculation with 3 10 (1/mol) and N 12. The dashed line indicates M] = 49,000.

Figure 5. The scattering RHv(q) and Rhv(q) ( = 20 deg.) and their ratio as a function of temperature T on heating a PBT solution, initially nematic with a smooth texture (w = 0.046). The arrows give the direction of temperature change. The solid and dashed lines show results in cells of type B and C, respectively.

Figure 7 Incident electron energy dependence of the X v = 0, 1, 2, 3 vibrational and the a Ag (v = 0) electronic loss scattered intensities from a 10-layer film of O2 condensed on Pt(lll). was set at 10° with 6 at 45° and the azimuth at 10°. Also shown is the energy dependence of the inelastic background intensity located just before the v = 1 loss peak onset at Aif = 0.16 eV along with that contributing to each energy-loss profile (dashed lines). (From Ref. 118.)...

Fig. 20 Schematic representation of a two-terminal device. The scattering region (enclosed in the dashed-line frame) with transmission probability T(E) is connected to semi-infinite left (L) and right (R) leads which end in electronic reservoirs (not shown) at chemical potentials Eu and r, kept fixed at the same value p for linear transport. By applying a small potential difference electronic transport will occur. The scattering region or molecule may include in general parts of the leads (shaded areas) (adapted from [105] with permission Copyright 2002 by Springer)...

Figure 13. Scattering resonances of a two-degree-of-freedom collinear model of the dissociation of Hgl2 [10], The filled dots are obtained by wavepacket propagation, the crosses by equilibrium point quantization with (2.8), the dotted circles from periodic-orbit quantization with (4.16). The solid lines are the curves corresponding to the Lyapunov exponents, Im E = -(A/2)Xp(Re ), of the fundamental periodic orbits p = 0, 1,2. The dashed line is the spectral gap, Im = ftP(l/2 Ref). The long-short dashed line is the curve corresponding to the escape rate, Im E = (h/2)P( Re ).

Figure 19. Scattering resonances of 2F collinear models of the dissociation of H3 obtained by Manz et al. [143] on the Karplus-Porter surface and by Sadeghi and Skodje on a DMBE surface [132], The energy is defined with respect to the saddle point. The dashed lines mark the bifurcations of the transition to chaos 1, 5, and 3 are the numbers of shortest periodic orbits, or PODS, in each region.

Figure 6. From figure 11 of Kylling et al. 1998. The ratio between simulated Brewer and Bentham UVB dose rates with and without aerosols as a function of the aerosol optical depth at 355 nm. Ratios of model results with aerosol single scattering albedo of (0.95 solid line), 0.87(dotted line) and 0.80 (dashed line) versus aersosol free model results are shown for solar zenith angle of 10° and an ozone column of 340 DU.

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