Vibration characteristic frequencies

Carbon-hydrogen stretching vibrations with frequencies above 3000 cm are also found m arenes such as tert butylbenzene as shown m Figure 13 33 This spectrum also contains two intense bands at 760 and 700 cm which are characteristic of monosub stituted benzene rings Other substitution patterns some of which are listed m Table 13 4 give different combinations of peaks... 

Molecular vibrations are the basis of infrared (IR) spectroscopy Certain groups of atoms vibrate at characteristic frequencies and these frequencies can be used to detect the pres ence of these groups in a molecule... 

Infrared (ir) transmission depends on the vibrational characteristics of the atoms rather than the electrons (see Infrared and Raman spectroscopy). For a diatomic harmonic oscillator, the vibrational frequency is described by... 

Section 13.20 IR spectroscopy probes molecular- structure by examining transitions between vibrational energy levels using electromagnetic radiation in the 625-4000-cm range. The presence or absence of a peak at a characteristic frequency tells us whether a certain functional group is present. Table 13.4 lists IR absorption frequencies for common structural units. 

Molecules vibrate at characteristic frequencies, which depend both on the difficulty of the motion (the so-called force constant) and on the masses of the atoms involved. The more difficult the motion and the lighter the atomic masses, the higher the vibrational frequency. For a diatomic molecule the vibrational frequency is proportional to ... 

Parameters of IR spectra (in solutions, films, or KBr) of acetylenylpyrazoles are close to those in the arylacetylene series. The values of the characteristic frequencies of the stretching vibrations of a disubstituted triple bond are in the... 

The splitting of both groups (visible and UV regions) is related to a vibrational structure of electron transitions (characteristic frequencies being... 

In general, increasing the temperature within the stability range of a single crystal structure modification leads to a smooth change in all three parameters of vibration spectra frequency, half-width and intensity. The dependency of the frequency (wave number) on the temperature is usually related to variations in bond lengths and force constants [370] the half-width of the band represents parameters of the particles Brownian motion [371] and the intensity of the bands is related to characteristics of the chemical bonds [372]. 

In many of the normal modes of vibration of a molecule the main participants in the vibration will be two atoms held together by a chemical bond. These vibrations have frequencies which depend primarily on the masses of the two vibrating atoms and on the force constant of the bond between them. The frequencies are also slightly affected by other atoms attached to the two atoms concerned. These vibrational modes are characteristic of the groups in the molecule and are useful in the identification of a compound, particularly in establishing the structure of an unknown substance. 

Much of the microscopic information that has been obtained about defect complexes that include hydrogen has come from IR absorption and Raman techniques. For example, simply assigning a vibrational feature for a hydrogen-shallow impurity complex shows directly that the passivation of the impurity is due to complex formation and not compensation alone, either by a level associated with a possibly isolated H atom or by lattice damage introduced by the hydrogenation process. The vibrational band provides a fingerprint for an H-related complex, which allows its chemical reactions or thermal stability to be studied. Further, the vibrational characteristics provide a benchmark for theory many groups now routinely calculate vibrational frequencies for the structures they have determined. 

The vibrational characteristics of the 1560 cm-1 and 809 cm-1 bands are consistent with the donor-H configuration (Fig. 8) proposed by Johnson et al. (1986). The change in the vibrational frequency of the 1560 cm-1 band for the different donors is sufficient to show that the donor is involved in the complex. However, one would have expected the large change in the donor s mass and size when going from P to Sb to have had a greater effect on the vibrational frequency if the H were attached directly to the donor atom. Further evidence that the H is not attached to the donor directly comes from the frequency ratios, r, shown in Table II that are nearly constant for the different donors as would be expected if the H were attached to Si. 

The energy of the system is then established, in terms of characteristic frequencies and of a set of vibrational quantum numbers for the various levels ... 

In the above expressions for C(t), the averaging over initial rotational, vibrational, and electronic states is explicitly shown. There is also an average over the translational motion implicit in all of these expressions. Its role has not (yet) been emphasized because the molecular energy levels, whose spacings yield the characteristic frequencies at which light can be absorbed or emitted, do not depend on translational motion. However, the frequency of the electromagnetic field experienced by moving molecules does depend on the velocities of the molecules, so this issue must now be addressed. 

The wavelengths of IR absorption bands are characteristic of specific types of chemical bonds. In the past infrared had little application in protein analysis due to instrumentation and interpretation limitations. The development of Fourier transform infrared spectroscopy (FUR) makes it possible to characterize proteins using IR techniques (Surewicz et al. 1993). Several IR absorption regions are important for protein analysis. The amide I groups in proteins have a vibration absorption frequency of 1630-1670 cm. Secondary structures of proteins such as alpha(a)-helix and beta(P)-sheet have amide absorptions of 1645-1660 cm-1 and 1665-1680 cm, respectively. Random coil has absorptions in the range of 1660-1670 cm These characterization criteria come from studies of model polypeptides with known secondary structures. Thus, FTIR is useful in conformational analysis of peptides and proteins (Arrondo et al. 1993). 

Excitation spectra have been of considerable use recently in studying both hydration numbers (by lifetime measurements) and inner-sphere complexation by anions (by observing appearance of the characteristic frequencies for e.g. the Eu3+ 5D0-+ 7F0 transition for the different possible species). Thus using a pulsed dye laser source, it was possible to demonstrate the occurrence of inner sphere complexes of Eu3+ with SCN, CI or NO3 in aqueous solution, the K values being 5.96 2, 0.13 0.01 and 1.41 0.2 respectively. The CIO4 ion did not coordinate. Excited state lifetimes suggest the nitrate species is [Eu(N03)(HzO)6,s o.4]2+ the technique here is to compare the lifetimes of the HzO and the corresponding D20 species, where the vibrational deactivation pathway is virtually inoperative.219 The reduction in lifetime is proportional to the number of water molecules complexed.217 218... 

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