LOM-IUMWTOM STUDIES Of RBOOIL R1ACTI OHS* Slobodan ke R. V el Jk o rie * * and da roan H e r b o ttle C h a n io tr y D opertnent I r o o d w m N a tio n a l L a b o ra to ry U p te e, L one la la o d , New York A b o tract Hm S a iia rd-C b a ln o ra ra a c tio n boa boon in v e r t i g d e d in o m d b t r o f c ry e ta l l i n e compounds w ith a a p o d a l e f f o r t b e in g n o d e t o no la t a i n tb o tn a a p a ra tu ra a t lo o v a lu e s d u rin g t o d a r d o n t , o t o r ago and diaeo!.ut i o n. guidance o f r a p id t h o m a l aim aalin g a t ir a te f t i r a t j r e a i n found. Ih a d a ta ow ggoot t h a t i t w ill f o r t h i a ra aaon bo e x tr o n o ly d i f f i c u l t t o o b t a i n r e l i a b l e i n f o r n e t i o a on tb o t r u e y ia ld a o f th e h o t-a t on procooaaa which o c c u r r e d b e fo re any a n n e a lin g took p la n e .
Dispersion forces are shown to be the main reason for the dependence of the fluorescence red shifts in anthracene solutions on the properties of the solvents. The presence of a highly polar group in a derivative of anthracene enhances dipole-dipole interaction. The data are interpreted in terms of the free electron model theory. An additional kind of interaction between ?r electrons of the excited molecule and p electrons of the solvent is suggested.
The rate equation Qt/Q∞ = 1 − e−btn, where Qt/Q∞ is the fractional yield of an interface reaction at time t, was shown to be formally analogous to the Weibull distribution functions. Further correlation between the Weibull and the normal distributions did allow for a direct statistical interpretation of surface processes. Rates are thus defined by the well known parameters μ and σ. Geometrically incompatible processes were standardized on the basis of the exponent n and the shape parameter β of the Weibull distribution. For 3<n<4, processes obeyed the normal distribution, and for n<0.7, they obeyed the log normal distribution. By using the linearized probability plots, ambiguities imposed by the multiple logarithming of the above rate equation are avoided.
A mathematical analysis of the correlation between Weibull and gamma distributions is presented. On this basis, processes obeying the relation Qt/Q∞ = 1 − e−btn (Qt/Q∞ being the fractional yield of an interface reaction at time t) can be explained better. Selected values of n, found experimentally, reflect the specific rate dependence of the distribution of the surface potential on active sites. By using the corresponding gamma distribution functions we show that most of these processes obey either directly or indirectly the normal distribution of the activity of reacting sites.
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