Relative Intensities of Resonance Lines

Relative Intensities of Resonance Lines 4.6.1 Transition Probabilities... 

Garroway et al.(l ) have recently pointed out that the relative intensities of resonance lines of CP/MAS C NMR spectra are proportional to the number of carbons, when the time constant T y for H-13c cross polarization is much shorter than the spin-lattice relaxation times and tJp in the rotation frames of 1h and 13c nuclei, respectively. Since this condition has been found to be fulfilled under our experimental condition(15), such a quantitative analysis as shown in the text can be reasonably carried out for cellulose samples. 

Fig. 20. Dependence on temperature of the resolved hyperfine-shifted resonances of ferricytochrome c. The numbers on the right give the relative intensities of the lines...

Raman spectra of Ru(bpy)3 above the CMC show frequency shifts as well as intensity changes as compared to its spectrum in water. Table 4.1 lists the relative intensities of various lines with respect to the line at 1286 in water. These transitions can be attributed to the perturbation of the excited state by the SDS micelles. Excited state resonance Raman spectrum of this probe in various regions of the adsorption isotherm for the alumina/SDS system is shown in Fig. 4.25. The spectrum of Ru(bpy)3 on alu-... 

By observing the number and relative intensity of resonances it is possible to identify to which point group an adduct belongs. For Ceo, with Ih, symmetry, all 60 carbon atoms are equivalent, giving rise to a single sharp line at 143.3 ppm in CeDg. Complex formation causes a reduction in symmetry, and the fullerene carbon atoms become in-... 

Figure 2. Proton decoupled C-2 resonances of [U- Ca] glycerol biosynthesized by a marine red alga. The observed resonances represent a superposition of singlet, doublet, and quartet corresponding to the isotope isomers illustrated in the figure. The relative intensities of the lines in each multiplet were calculated using the J and Ac values obtained from the spectrum. (Reproduced, with permission, from Ref. 8. Copyright 1979, John Wiley Sons, Ltd.)...

In Fig. 4.15.1 we reproduce the electron spin resonance spectrum of monoprotonated / -benzosemiquinone in tetrahydrofuran at — 63°C, a spectrum which shows most of the features discussed above. The spectrum has been analysed in terms of four hyperfine splitting constants, as shown in Fig. 4.15.1, since the asymmetric disposition of the —OH group causes the protons meta to the site of protonation to be non-equivalent. The four splitting constants are readily obtained by measuring distances from the first line of the spectrum the g-value may of course be obtained by simultaneous measurement of microwave frequency and magnetic field at the centre of the spectrum. Readers unfamiliar with line-width effects may care to compute the expected relative intensities of the lines and compare the results with the experimental amplitudes of the first derivative trace. In such a presentation the peak-to-peak amplitude, for a Lorentzian line, is proportional to the reciprocal of the square... 

The most striking feature of the FDMR spectrum of the native protein (Fig. 4, curve a) is the intense narrow 2E line at 220 MHz which has a positive sign (increase of fluorescence on resonance). The relative intensity of the lines in the spectrum is dependent on excitation intensity (not shown). 

Fig. 7.60 Mossbauer spectra of K2[IrCl6] at various temperatures, taken with the single-line source Oso.oiPto.99- The positions and relative intensities of the resonance lines are indicated by vertical bars (from [268])...

Fig. 7.63 Mossbauer spectra of some hexacoordinated ammine and pyridine complexes of trivalent iridium taken at 4.2 K with a source of Os in Os metal. The stick spectra indicate the positions and relative intensities of the individual resonance lines (from [285])...

Figure 5.5 Relative intensities of xenon photosatellites as functions of photon energy, in the region of 4d - np excitations (a) 4d105s25p4(1S0)7p 2P° satellite (b) 4d105s25p4(1S0)8p 2P° satellite. The energy positions of 4d5/2 - np excitations are indicated by the vertical lines, numbered n = 7,8,9,.... For a detailed explanation of the effect that these resonance excitations have on the satellite intensities see main text for a related study see [BSK89b].

The emission spectra for LiYF4 Pr3+ are shown in fig. 7 as an illustration, where the top and bottom panels present the calculated and experimental spectra, respectively. As can be seen from this figure, the calculations correctly reproduce the relative intensities of the emission bands. The calculated spectra are produced by superimposing a Gaussian band that is offset from the zero-phonon line by 600 cm-1 on the calculated zero-phonon lines. The FWHM is set to 1000 cm-1 for the Gaussian (phonon) bands, and 20 cm-1 for the zero-phonon lines. The zero-phonon lines for the 4f5d - 3H4 emission are not observed, most likely due to resonant reabsorption. 

Sugden and his co-workers " have developed a number of special techniques for the estimation of intermediates in flames, with particular reference to atomic hydrogen and hydroxyl radicals. In each case the technique involves the addition to the reaction mixture of traces of metal salts, which lead to the emission of radiation in the flame. The basis of the first method is a comparison of the relative intensities of the lithium and sodium resonance lines emitted when salts of these metals are added in equal concentrations to the flame. Lithium hydroxide is stable at the flame temperatures, and since water is one of the combustion products the lithium concentration is modified by the equilibrium reaction... 

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