Relaxation effects

L is Avagadro s constant and k is defined above. It can be seen that there are indeed two corrections to the conductivity at infinite dilution tire first corresponds to the relaxation effect, and is correct in (A2.4.72) only under the assumption of a zero ionic radius. For a finite ionic radius, a, the first tenn needs to be modified Falkenliagen [8] originally showed that simply dividing by a temr (1 -t kiTq) gives a first-order correction, and more complex corrections have been reviewed by Pitts etal [14], who show that, to a second order, the relaxation temr in (A2.4.72) should be divided by (1 + KOfiH I + KUn, . The electrophoretic effect should also... 

Bloembergen N, Purcell E M and Pound R V 1948 Relaxation effects In nuclear magnetic resonance absorption Phys. Rev. 73 679-712... 

Woessner D E 1996 Relaxation effects of chemical exchange Encyclopedia of Nuclear Magnetic Resonance ed D M Grant and R K Harris (Chichester Wiley) pp 4018-28... 

K, L, M,. ..), 5 is the energy shift caused by relaxation efiects and cp is the work fimction of tlie spectrometer. The 5 tenn accounts for the relaxation effect involved in the decay process, which leads to a final state consisting of a heavily excited, doubly ionized atom. 

The dielectric constant (permittivity) tabulated is the relative dielectric constant, which is the ratio of the actual electric displacement to the electric field strength when an external field is applied to the substance, which is the ratio of the actual dielectric constant to the dielectric constant of a vacuum. The table gives the static dielectric constant e, measured in static fields or at relatively low frequencies where no relaxation effects occur. 

A finite time is required to reestabUsh the ion atmosphere at any new location. Thus the ion atmosphere produces a drag on the ions in motion and restricts their freedom of movement. This is termed a relaxation effect. When a negative ion moves under the influence of an electric field, it travels against the flow of positive ions and solvent moving in the opposite direction. This is termed an electrophoretic effect. The Debye-Huckel theory combines both effects to calculate the behavior of electrolytes. The theory predicts the behavior of dilute (<0.05 molal) solutions but does not portray accurately the behavior of concentrated solutions found in practical batteries. 

The remainder of this paper is organized as follows In section 2 we will describe the ASR method. In section 3 we will present the application of ASR to study lattice relaxation effects in CuPd alloys and finally our conclusions. 

In order to study lattice relaxation effect by ASR we assume a simple model. As a first step we consider the terminal point approximation. Here the distortion of the lattice taken into account is the stretching or the contraction and angular distortion of the bond connecting two sites in a lattice and the effect of neighbouring site is neglected. As a result of such distortion the structure matrix takes the form ... 

It should be noted that relaxation effects play an important role on these results. Indeed it is found that, especially for monomers by also for dimers, the relaxation is larger at fault sites than at normal sites when Nd < 8e /atom while the opposite occurs for Nd 8e /atom. This tends to increase the range of stability of the fault site. It must be emphasized that second moment calculations (13) cannot account for this effect since they are quite insensitive to lateral relaxations. Actually, in such relaxation some distances are expanded whereas some others are compressed and the net effect on the second moment nearly cancels. 

During the photoelectron emission event there are electronic relaxation effects occurring, which are usually divided into intra- and inter-molecular relaxation effects. These effects can be rationalized in a classical picture as follows. An elec-... 

We note dial highly correlated calculations performed on isolated slilbene indicate that the first excited stale strongly optically coupled lo die ground stale is mil (he lowest in energy, in contrast to the INDO/SCI results [44 however, emission lakes place from the strongly coupled excited stale when relaxation effects are considered thus, the exact ordering of the lowest two excited stales in slilbene does not modify the main conclusions of our study. 

Condensation of 594 with alloxan followed by methylation of the presumably formed purino[7,8-g]-6-azapteridine gave 597. Treatment of the latter with alkylamines afforded (87CPB4031) [1,2,4]triazino[2,3-/]purines 598. Compound 597 was active against P388 leukemia. Vascular relaxing effects of 598 were determined, but none showed potent activity (87CPB4031) (Scheme 123). 

The existence of characteristic time D"1 must lead to the appearance of specific relaxation effects. This relaxation mechanism has nothing in common with visco-... 

As a melt is subjected to a fixed stress or strain, the deformation versus time curve will show an initial rapid deformation followed by a continuous flow. Elasticity and strain are compared in Fig. 8-9 that provides (a) basic deformation vs. time curve, (b) stress-strain deformation vs. time with the creep effect, (c) stress-strain deformation vs. time with the stress-relaxation effect, (d) material exhibiting elasticity, and (e) material exhibiting... 

The nitrates, such as isosorbide (Isordil) and nitroglycerin, have a direct relaxing effect on die smooth muscle layer of blood vessels. The result of diis effect is an increase in the lumen of die artery or arteriole and an increase in the amount of blood flowing through diese vessels. An increased blood flow results in an increase in die oxygen supply to surrounding tissues. 

The predictions of simple rules such as Kaptein s and Muller s can be distorted by relaxation effects. These are particularly noticeable in photochemical experiments. In the pre-steady state (e.g., immediately after irradiation has begun), when build-up of the polarized signals is occurring, relaxation effects in the final product are relatively unimportant and observed spectra accord with the simple theory. Con-... 

In addition to the physical stress relaxation effect, chemical changes to the elastomer (e.g., by oxidation) can also increase relaxation rate. We then have... 

Overbeek and Booth [284] have extended the Henry model to include the effects of double-layer distortion by the relaxation effect. Since the double-layer charge is opposite to the particle charge, the fluid in the layer tends to move in the direction opposite to the particle. This distorts the symmetry of the flow and concentration profiles around the particle. Diffusion and electrical conductance tend to restore this symmetry however, it takes time for this to occur. This is known as the relaxation effect. The relaxation effect is not significant for zeta-potentials of less than 25 mV i.e., the Overbeek and Booth equations reduce to the Henry equation for zeta-potentials less than 25 mV [284]. For an electrophoretic mobility of approximately 10 X 10 " cm A -sec, the corresponding zeta potential is 20 mV at 25°C. Mobilities of up to 20 X 10 " cmW-s, i.e., zeta-potentials of 40 mV, are not uncommon for proteins at temperatures of 20-30°C, and thus relaxation may be important for some proteins. 

A related experiment TOCSY (Total Correlation Spectroscopy) gives similar information and is relatively more sensitive than the REIAY. On the other hand, intensity of cross peak in a NOESY spectrum with a short mixing time is a measure of internuclear distance (less than 4A). It depends on the correlation time and varies as . It is positive for small molecules with short correlation time (o r <<1) and is negative for macromolecules with long correlation time (wr >>l) and goes through zero for molecules with 1 Relaxation effects should be taken into consideration for quantitative interpretation of NOE intensities, however. 

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