Specific resonance condition

The factor (1-tr) converts the general resonance condition for the nucleus P to the specific resonance condition for the individual phosphorus atom in the actual compound that we want to measure. The parameter phosphorus atom is subject to. These are normally limited to diamagnetic factors, such as electronegativity of substituents, and diamagnetic anisotropy due to participation in double bonds or shielding cones of adjacent functional groups. 

When an electromagnetic wave interacts with resonators, the effect of quantization of all possible stationary stable oscillating amplitudes arises without the requirement of any specifically organized conditions (like the inhomogeneous action of external harmonic force). 

The integral is the spectral overlap integral of the donor emission f (v) with the acceptor absorption profile f (v) for resonance condition. F(R) summarizes the essential mechanisms, like the Dexter (1953) exchange or the Forster (1951) multipole mechanism with their specific R distance dependences. 

First, the absorption spectra of the Outer Segments of the photoreceptor cells rely on the resonant condition of one of the Rhodonines when it is present under specific conditions (Col. R of the Table). These conditions are that it is present as a liquid crystalline surface film on the disks of the segment (8R) and in contact with a de-excitation agent associated with the Inner Segment of the same cell (12R). 

In the two-frequency distributive case, the molecular tensor y °(a)i,o)2) has resonance conditions similar to those for )- As the single-beam case, two of the proposed resonance conditions would be likely to allow the process to be masked by single-photon absorption a third leads to the possibility of conventional two-photon absorption, and a fourth cannot be satisfied if the centers involved are initially in their ground states. The remaining condition E x E — hu>i) if a>i t02, or E x(E — ho)2) if CO2 < ft)i) remains the only truly useful resonance. Naturally, since the energetics of the excitation process are constrained only by a condition on the sum of the photon frequencies, there is a wide scope for choosing laser frequencies specifically with the aim of exploit ng this type of resonance possibility. 

There are a number of techniques that rely on applying specific protocols that lead to excitation and a resonance condition, reported experimentally as the appearance of a peak(s) in a spectrum by using appropriate instrumentation. It is beyond the scope of this textbook to develop the theory behind these many methods, but it is appropriate to illustrate two of the most common techniques - IR and NMR spectroscopy. 

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