IR-active

Of course, whether the symmetry groups for armchair and zigzag tubules are taken to be (or or T>2 /, the calculated vibrational frequencies will be the same the symmetry assignments for these modes, however, will be different. It is, thus, expected that modes that are Raman or IR-active under or T) i, but are optically silent under S>2 h will only show a weak activity resulting from the fact that the existence of caps lowers the symmetry that would exist for a nanotube of infinite length. 

Fig. 4. Diameter dependence of the first order (a) IR-active and. (b) Raman-active mode frequencies for...

Remember that intensities can be compared qualitatively, but should not be taken tnn literally. When we examine the other frequencies for these compounds, we lini.1 iluii most of the normal modes are not IR active (the intensity is 0). ... 

There are 78 vibrational degrees of freedom for TgHg and it has been shown that the molecule has 33 different fundamental modes under Oh symmetry, 6 are IR active, 13 are Raman active, and 14 vibrations are inactive. The experimental fundamental IR active vibrational frequencies have been assigned as follows 2277 (v Si-H), 1141 (vas Si-O-Si), 881 5 O-Si-H), 566 ( s O-Si-O), 465 (v O-Si-O), and 399 cm ( s O-Si-O). These generally agree well with calculated values The IR spectrum recorded in the solid state shows bands at 2300 and 2293 cm ... 

Another study (200) presented IR data for a number of hydride and deuteride species. Using matrix-isolation spectroscopy in conjunction with a hollow-cathode, sputtering source (the apparatus for which is shown in Fig. 36), the IR-active vibrations of the diatomic hydrides and deuterides of aluminum, copper, and nickel were observed. The vibra-... 

Modes of flu symmetry are inactive, g = gerade modes are Raman active, u = ungerade modes are IR active... 

Fig. 3 Single beam IR transmission spectra of a single-crystal of orthorhombic Sg at two polarizations (hiu parallel to crystal c axis, l 2u+ 3u perpendicular to c) showing the strong absorption of the IR active vibrations V4 and Vg (resolution 2 cm ), after [105]. Sample thickness 450 pm...

Figures 4 and 5 show the Raman and IR spectra of ce-Ss in the range up to about 100 cm A comparison of these spectra with those presented in Figs. 2 and 3 reveals that the linewidths are much smaller at low temperatures (ca. 0.02-0.2 cm ). The wavenumbers and assignments of the external and torsional modes as reported by Gautier and Debeau [106] and Becucci et al. [107] are listed in Table 3. The spectra in Figs. 4 and 5 clearly demonstrate that there is no gap between the external vibrations and the crystal components of the lowest internal vibration Vg. Moreover, at about 76 cm an IR active lattice mode appears between two components of the fundamental Vg at 74 cm and 79 cm respectively.

Of the five bending vibrations of the Sg molecule three are Raman active (V2, Vg, Vii) and two are IR active (V4, Vg). Most of the Raman active modes in the crystal could clearly be resolved in spectra at low temperatures and by polarization measurements. For example. Fig. 6 shows the Raman active factor group components of the Vg mode obtained at three different polarizations. In Fig. 7 an analogous IR spectrum is presented. 

Figures 8 and 9 shows a part of the bending region at low temperature containing the components of Vg (150-160 cm ) and Vs (190-200 cm ). The Vg vibration, IR active in the free molecule, has weak components in the Raman spectrum. According to theoretically calculated Raman intensities, which almost perfectly fit the experimental spectrum, the big component has a very low scattering cross-section [87] and is accidentally degenerate with the b2g component at ca. 188 cm. The IR active components of Vg cause strong absorptions in the IR spectrum even if the crystalline sample used for transmission studies is as thin as 400 pm [107, 109].

Observed on the wing of the CS2 bending mode. Occurs in violation of the selection rules of the point group Dsd but is IR active under the Csi factor group of the crystal. Could also be a combination vibration or caused by the CS2 impurity which was present in the sample (see text)... 

Wavenumbers scaled by optimized factors. Intensities for Raman active modes classified by the present authors on the basis of the calculated values. The intensities of two IR active vibrations were calculated to be equal (Ra) = Raman active, (IR) = infrared active [181]... 

The data given in Table VI show that the IR active modes of the monocation have weak Raman intensity and vice versa. Thus a de facto mutual exclusion holds for the monocation. This finding constitutes a key factor in the defect characterization as it implies that the requirement of centrosymmetrical defect (i.e. with C2h symmetry) is not necessary. Rather it establishes clearly that defects with C2V symmetry are plausible. Further work to substantiate this finding is in progress. 

Thus the IR active modes will be determined by the matrix elements of the polarlsablllty matrix and not by a combination of the surface selection rule and the normal IR selection rules l.e. all of the Raman active modes could become accessible. This effect has been formalized and Its significance assessed In a discussion (12) which compares Its magnitude for a number of different molecules. In the case of acrylonitrile adsorption discussed In the previous section, the Intensity of the C=N stretch band appears to vary with the square of the electric field strength as expected for the Stark effect mechanism. 

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