Branch, rotational

Figure 6.9 The 1-0 Stokes vibrational Raman spectrum of CO showing the 0-, Q-, and 5-branch rotational structure...

Measure, approximately, the wavenumbers of the P-branch and i -branch rotational transitions in the 0-0 band of the electronic transition of CuH in Figure... 

Fig. 3.12. The room temperature CARS spectra of CH4 obtained in [162] at the following densities (1) 0.1 amagat of pure CH4 (2) 5 amagat CH4 (3) 5 amagat CH4 + 35 amagat Ar (4) 5 amagat CH4 + 85 amagat Ar. The position of the vibration frequency wv is indicated as well as the centre of gravity of the Q0i branch rotational structure wv + coq.

The best resolution of Q-branch rotational structure in a N2-Ar mixture was achieved by means of coherent anti-Stokes/Stokes Raman spectroscopy (CARS/CSRS) at very low pressures and temperatures (Fig. 0.4). A few components of such spectra obtained in [227] are shown in Fig. 5.9. A composition of well-resolved Lorentzian lines was compared in [227] with theoretical description of the spectrum based on the secular simplification. The line widths (5.55) are presented as... 

Let us demonstrate that the tendency to narrowing never manifests itself before the whole spectrum collapses, i.e. that the broadening of its central part is monotonic until Eq. (6.13) becomes valid. Let us consider quantity x j, denoting the orientational relaxation time at ( = 2. If rovibrational interaction is taken into account when calculating Kf(t) it is necessary to make the definition of xg/ given in Chapter 2 more precise. Collapse of the Q-branch rotational structure at T = I/ojqXj 1 shifts the centre of the whole spectrum to frequency cog. It must be eliminated by the definition... 

We need only one simplification neglect of the Q-branch rotational structure. It is conditioned by Eq. (6.29). This assumption restricts the buffer gas densities, which should not be too low ... 

Q-branch rotational structure 179-82 spectra of nitrogen in argon 180 spectral collapse theory 150 spectral width 107 strong collision model 188 cumulant expansions 85-91... 

Figure 23 VMPof HOD (v"qjj = 1) (left panel) and (v"oi3 = 1) (right panel) at 193 nm performed by scanning the Stokes beam via the rovibrational levels (a) and (d) respective CARS signals (b) and (e)LIF of the/f2(4)lineof A(v = 0)<-3f(v" = 0) transition of the OD photofragments, and (c) and (f) of the OH photofragments. The intensity scales in (b) and (c) are similar. The numbers above the peaks mark the g-branch rotational transitions monitored by CARS. Reproduced with permission from Ref. [80]. Copyright (1991) AIP Publishing LLC.

Apparently, within each branch, rotational lines are not resolved. This is due to the short interaction time of the collisional pair which renders individual lines rather diffuse, with half-widths that are much greater than the rotational spacings of O2 and N2 at temperatures around 300 K. 

Figure 55. Comparison of relative intensity distributions of P-branch rotational lines of (3,9) and (4,10) bands of N2+ (C22 , e, m)-> N2+(V25>", m ) + hv spontaneous radiative transitions. Points are experimental data and solid lines are distributions computed using statistical phase-space model to determine N2 (C221), v, m) vibrational-rotational distribution resulting from reaction He+ + N2(V 2g, v, m)— N2+(C22M,o,m)+He.419...

Analysis of the H NMR of the dendrimers suggested that, due to sterically restricted branch rotation, the interior secondary amide protons, which are equidistant from the core, were in different chemical environments. Solubility of the first, second, and third tier cascades was recorded at 24, 298, and 40 g/L, respectively, inTHF at 25 °C. 

As a further test of the ab initio potential, calculations of the pressure broadening coefficients of the R branch rotational lines of the v4 spectrum of C02 in ahelium bath at various temperatures were performed296. [The pressure broadening coefficients reflect... 

Structure of the band is such that rotational lines in the P branch accumulate near the bandhead, and the -branch rotational lines extend through the tail of the band. Since the bandhead is such a prominent feature of this band but is still optically thin under these conditions, the equivalent width of the bandhead was integrated to give the C2 densities, rather than integrating across the entire band. The bandhead contains rotational lines originating from nearly 30 rotational levels. The C2 densities in these nanocrystalline diamond CVD environments were determined for both hydrocarbon and fiillerene precursors under the variation of several processing parameters. 

In an inelastic SDOF system, the gravity load generates a uniform shear deformation of its hys-teretic force-displacement relationship, as shown exemplarily in Fig. 11, for the backbone curve of an inelastic SDOF system. Characteristic displacements (such as the yield displacement) of this relationship remain unchanged, whereas the characteristic forces (such as the strength) are reduced. As a result, the slope of the elastic and post-elastic branch rotates. The magnitude of this reduction can be expressed by means of the stabiUty coefficient 6 (MacRae 1994). The parameter 0 is a function of the gravity load, geometry, and stiffness. For instance, for the bilinear SDOF system shown in Fig. 12a, the stability coefficient reads as... 

Fig. 3.3.5 Simulation of the w = 1-0 band of carbon monoxide. The band center is at 2143 cm and the P- and R-branch rotational series extend toward lower and higher wavenumbers. The rotational quantum number shown (/) is for the lower state of the transition. The line intensities are approximately correct for 300 K.

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