Tumbling definition

In addition to not addressing the need for individual tumbling rate constants for radical pair combinations leading to 3b, 2-BN, and 4-BN, Scheme 13.5 does not take into account the fact the values of probably differ and the translational rate constants definitely differ within amorphous and interfacial cages of either LDPE or HDPE. 

The steady-state fluorescence anisotropy/polarization method is also simple and relies on the fact that the probe molecule will tumble rapidly in solution when free, but will have restricted motion upon binding to a macromolecule. Optical excitation of the probe by polarized light will result in preferential absorption by those molecules whose absorption transition dipole is parallel to the electric field vector direction of the light. The subsequent fluorescence will be partially polarized. The definitions of anisotropy (r) and polarization (P) are [188]... 

In a patent of 1926, G. Shimadzu described an adaptation of the ball-mill process used for grinding ores, pigments, etc., by using lead balls tumbling against one another in a mill. The friction created sufficient heat to oxidise the outside surface of the lead balls and the obtained oxide layer fell off continuously in the form of dust. An air flow of a definite speed and humidity carries away the oxide dust through inbuilt screens to separate the coarser fractions and return them to the mill. The fine lead oxide particles were collected in storage silos. 

We include in the term microcirculation those vessels with lumens (internal diameters) that are some modest multiple—say 1 to 10—of the major diameter of the unstressed RBC. This definition includes primarily the arterioles, the capillaries, and the postcapillary venules. The capillaries are of particular interest because they are generally from 6 to 10 /on in diameter, i.e., about the same size as the RBC. In the larger vessels, RBC may tumble and interact with one another and move from streamline to streamline as they course down the vessel. In contrast, in the microcirculation the RBC must travel in single file through true capillaries (Berman and Fuhro, 1969 Berman et al., 1982). Clearly, any attempt to adequately describe the behavior of capillary flow must recognize the particulate nature of the blood. 

It should be noted that the conventional definition of the correlation time for overall tumbling is and for free internal diffusion is T = Pj, but 1/Dj is often used as an... 

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