Shape resonances related connections

Connections Between Shape Resonances In Electron-Molecule Scattering And In Molecular Photolonlzatlon And Related Connections... 

If the exchange rate, k, is much smaller than the frequency difference between the signals for the exchanging sites, then the NMR spectrum will exhibit well separated peaks for these resonances. Based on the Bloch equation [146], it is possible to find relationships connecting the shape of the NMR signal, Avii2, the lifetime, T, for a nucleus in different positions of a molecule and the rate constant, k. The lifetime is related to the rate constant by Eq. (4). 

Time-dependent correlation functions are now widely used to provide concise statements of the miscroscopic meaning of a variety of experimental results. These connections between microscopically defined time-dependent correlation functions and macroscopic experiments are usually expressed through spectral densities, which are the Fourier transforms of correlation functions. For example, transport coefficients1 of electrical conductivity, diffusion, viscosity, and heat conductivity can be written as spectral densities of appropriate correlation functions. Likewise, spectral line shapes in absorption, Raman light scattering, neutron scattering, and nuclear jmagnetic resonance are related to appropriate microscopic spectral densities.2... 

New techniques are being used to locate brain damage from fetal alcohol exposure. Magnetic resonance imaging (MRI), for example, has been used to analyze the shape of the corpus callosum (the thick band of nerve fibers connecting the two hemispheres of the brain) in adult males who were exposed prenatally to alcohol and relate the measurements to neuropsychological deficits.34 The men showed more variability of corpus-callosum shape and the excess shape variation is associated with behavioral deficits. A relatively thick corpus callosum is associated with deficits in executive function, while a relatively thin corpus callosum is associated with deficits in motor function. 

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