Frequency averaging

Fig. 9.9. Elastic properties of the transverse section of mouse muscle in Fig. 9.8. The horizontal axis (from left to right) of each plot corresponds to 600 pm along the vertical axis (from top to bottom) in Fig. 9.8(c), (d). (a) Thickness (b) velocity (c) impedance (d) frequency-averaged attenuation (Daft and Briggs 1989 ).

Even in the absence of relaxation, Hartmann-Hahn transfer depends on a large number of parameters pulse sequence parameters (multiple-pulse sequence, irradiation frequency, average rf power, etc.) and spin system parameters (size of the spin system, chemical shifts, /-coupling constants). For most multiple-pulse sequences, these parameters may be destilled into effective coupling tensors, which completely determine the transfer of polarization and coherence in the spin system. This provides a general classification scheme for homo- and heteronuclear Hartmann-Hahn experiments and allows one to characterize the transfer properties of related... 

Fig. 11.18. Stop time frequency, average North American drive cycle.

Flood Frequency Average amount of time between floods that are the same or greater than a selected magnitude. 

The frequency-averaged reflection and transmission coefficients are then calculated as ... 

As for irregular waves, as explained in Sec. 13.2.3, the reflection coefficient is calculated differently for each frequency component. The wave period is determined according to the frequency of the component wave, while the rms wave height is used for all the component waves to compute the energy dissipation at the perforated wall. The spectral density of the reflected waves is then calculated for a particular frequency component as in Eq. (13.35), and the frequency-averaged reflection coefficient is calculated as in Eq. (13.37). 

Vibrational Assignments. In view of the above findings, the vibrational assignments for IF7 (see Table I) can now be easily made by comparison with the calculated ECP frequencies. All bands strictly follow the selection rules for Dsh symmetry, 2Ai (R) + 2A2"(IR) + 3Ei (IR) + lEi (R) + 2E2XR) + lE2"(ia), and exhibit the expected relative intensities, infrared gas-phase band contours and Raman polarization. The agreement between calculated and observed frequencies (average... 

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