Miller delta

The Miller delta formulation is soEi(ayi) = SijkPj(( i)Pk(fi>2), where the Miller coefficient,... 

The requirement of acentricity and an examination of the atoms and molecular groups (and their disposition) have been useful in the search for new nonlinear optical materials. In addition, the Miller delta rule, which relates the magnitude of the nonlinear optical susceptibility d to the linear optical susceptibility x, is valuable in gaining information on the strength of the nonlinear effects to be expected from a given material. Miller s equation is... 

Several other theories, quantum mechanical in nature, have discussed the importance of the distortion of the valence electron distribution regarding d and have shown a correlation between the Miller delta and bond dipole moments. 

Of particular significance with regard to relating the nonlinear susceptibilities to the microscopic nature of materials is the application of the Phillips-Van Vechten (PV) quantum dielectric theory of solids (Chapter 1, this volume) by Levine " to the calculation of the Miller delta. He has successfully computed the Miller delta and nonlinear optical susceptibility d for a large variety of nonlinear optical materials, including those in whieh d electrons play a role in the bonding. 

Fig. 44. Experimental Miller deltas Ayj compared with values...

Glaum SR, Miller RJ, Hammond DL (1994) Inhibitory actions of delta 1-, delta 2-, and mu-opioid receptor agonists on excitatory transmission in lamina II neurons of adult rat spinal cord. 

For crystalline solids, comparative quantities for second harmonic generation and the linear electrooptic coefficient are given by Miller s delta and the polarization optic coefficient f. The quantity 6 is defined by the relation... 

Darko DF, Miller JC, Gallen C, White J, Koziol J, Brown SJ, Hayduk, Atkinson JH, Assmus J, Munnel DT, Naitotl P, McCutchen A, Mitler MM. Sleep electroencephalogram delta-frequency amplitude, night plasma levels of tumor necrosis fac-... 

If the excitation functions are reasonably smooth functions of all initial coordinates (Ro, rQ, 70) and initial momenta (Po,POijo)i the partial cross sections a u,n,j) can be calculated by means of (5.23). Because of the delta-functions the multi-dimensional integral reduces to a finite sum over all those trajectories tq a defined through the set of equations (Miller 1974, 1975)... 

Glatzer NR, Smith BN (2005) Modulation of synaptic transmission in the rat nucleus of the solitary tract by endomorphin-1. J Neurophysiol 93 2530-40 Glaum SR, Miller RJ, Hammond DL (1994) Inhibitory actions of delta 1-, delta 2-, and mu-opioid receptor agonists on excitatory transmission in lamina II neurons of adult rat spinal cord. J Neurosci 14 4965-71... 

Hutchings, D. E., Martin, B. R., Gamagaris, Z., Miller, N., andFico, T. (1989). Plasma concentrations of delta-9-tetrahydrocannabinol in dams and fetuses following acute or multiple prenatal dosing in... 

Cotton R, Giles MG, Miller L, Shaw JS, Tims D. ICI174,864 a highly selective anatgonist for the opioid delta-receptor. Eur J Pharmacol 1984 97 331-332. 

Huffman JW, Bushell SM, Miller JR, Wiley JL, Martin BR (2002) 1-Methoxy-, 1-deoxy-11-hydroxy- and ll-hydroxy-l-methoxy-delta-8-tetrahydrocannabinols new selective ligands for the CB(2) receptor. Bioorg Med Chem 10 4119-4129... 

Rosenkrantz H, Miller AJ, Esber HJ (1975) Delta-9-tetrahydrocannabinol suppression of the primary immune response in rats. J Toxicol Environ Health 1 119-125... 

Shivakumar, A.G., G.J. Gundling, T.A. Benson, D. Casuto, M.F. Miller, and B.B. Spear. 1986. Vegetative expression of the delta-endotoxin genes of Bacillus thuringiensis subsp. kurstaki in Bacillus subtilis. J. Bacteriol. 166 194-204. 

---