Orientation and Alignment of Reaction Products

Abstract

Ĩ~~~l~!~ "~i~~_._~ Orientation Ensembles of double-and single-headed arrows representing aligned and oriented www.annualreviews.org/aronline Annual Reviews '~ = cos0. 2. The Legendre polynomials are written as P.(~" 2), or P.(cos 0), where, example el(,]" ~) = PI(COS 0) = cos 3. and P2(3" Z) = P2(cos 0) = ½[3 2 0-1], 4. and the Legendre moments, (P,(3.2)), are averages of the P,(3" 2) over the distribution of ~ about 2. If we write the first-and second-order orientation and alignment parameters as A~01) and A~0), respectively, the commonly used definitions are A~õ = (P,0" ~)) = (cos and A~o 2) = 2(P:(]" Z)) = (3 z 0-1) 6.

Theoretical studies of product polarization and state distributions of the H+HCl reaction

“…The dihedral angle distribution of the k-k 0 -j 0 three-vector correlation is characterized by theangle / r [4,16]. The distribution of the dihedral angle / r can be expanded as a Fourier series,…”

Product rotational polarization: Stereodynamics of the reaction Cl(2P3/2)+CD4(v=0,j=0)→DCl(v′=0,j′=1)+CD3

“…16,17 Measurements have been performed either under thermal conditions 18,19 or, with potentially higher collision energy and angular resolution, under jet cooled expansion conditions. [20][21][22] The enhanced reagent number densities achieved using these techniques, compared with those typically obtained in conventional crossed-molecular beam methods, have now enabled full state-to-state differential cross sections to be measured for the ClϩCH 4 reaction. [16][17][23][24][25] Blais and Truhlar 26 and Han et al 27 have studied the alignment of the product rotational angular momentum as a function of scattering angle using quasiclassical-trajectory Legendre moment method and provided many new and valuable results.…”

Radial and orientational solvation structure of the sodium chloride ion pair in dimethyl sulfoxide

“…The inclinations of the (Cl Ϫ -S) and the (S-O) vectors ͑represented as angle 2 ͒ are in the range of 20°-100°around the chloride ion in region 4. Similarly the inclinations of the (Cl Ϫ -COM) vector with the (COM-DIP) vector ͑represented as angle 2 Ј͒ also show an identical distribution in this region.…”

“…1,2 In the much studied ion pair interconversion process, [3][4][5][6][7][8] a contact ion pair ͑CIP͒ configuration crosses over to a solvent separated ion pair ͑SSIP͒ configuration and vice versa. These two states are usually separated by a free energy barrier of several k B T ͑k B is the Boltzmann constant and T is the absolute temperature͒.…”