Mean square electric field strength

As was discussed above, the surface selection rule arises because of the reduction in magnitude of the mean square electric field strength, < >, of... 

Fig. 9.2 Angular dependences of the phase shift (a), mean square electric field strength (MSEFS) (b), and reflectivity (c) for an air/Au interface at 1500 cm Optical constants for gold at this wavenumber are n = 3.04, /c=45.25.

Quantitative analysis of the orientation of organic molecules at the metal electrode requires precise knowledge of the mean square electric field strength (MSEFS) at the metal surface and in the bulk of the thin-layer cavity. The tangential (with respect to the propagation direction) fields l/k(z) and Vk(z) at an arbitrary point within the stratified medium are related to the fields Ut and Vi at the first interface (z=Zi=0) by the following matrix ... 

Fig. 9.5 Mean square electric field strength at the metal surface for a p-polarized beam as a function of the angle of incidence and the thin.cavity (gap) thickness. Calculate for the convergent ( 6°) radiation of 1600 cm" . For stratified medium Cap2/D20/Au.

Since the intensity of the light is directly proportional to the mean square electric field strength, (E ), we can derive from Beer s law [/ = /ocxp (-az)] the following expression for the absorption coefficient a ... 

By insertine the mean dipole moment (2S2a) into the polarization fonnula (2S1) and using the definitions (246) and (2S0), one obtains the change in molar polarization of a gas due to the square of the electric field strength ... 

In other words, when the drift velocity exceeds a certain fraction of the thermal velocity, the proportionality between v and E goes over into the square root dependence. At still higher electric fields, the drift velocity saturates as a function of the electric field strength while the electron mean energy increases with field strength. In terms of electron mobility. 

Electrostriction, in the original sense, means a mechanical deformation caused by an electric field, in general proportional to the square of the field strength. Such an effect is, in principle, quite common and can exist in solid, liquid, and even gaseous substances. It does not require aity special symmetiy properties. Yet, the deformations are exceedingly small and very difficult to measure. In defect-free ciystals electrostriction is caused by the direct action of the electric field on the atoms forming the crystal lattice and by the Maxwell stress (Becker and Sauter (1973), Grindlay (1970)). Displacements and reorientation of defects may contribute to the electrostrictive effect in doped crystals. 

FIGU RE 8.19 Phase diagram of dipolar soft-sphere particles with Yukawa parameters kdipole moment strength y, packing fraction T]) representation. The circles denote points where the phase boundary was determined and the gray area denotes the coexistence region (where tie lines are vertical). The upper horizontal axis gives an estimate of the root-mean-square external electric Field (see text for details). (From Hynninen AP and Dijkstra M. 2005. Physical Review Letters 94 138303. With permission.)... 

An earlier account of the angular dependency of the surface photoeffect was given by Korshunov et in which the assumption is made that only the lightwave component with its electric field vector polarized perpendicular to the metal surface (i.e., parallel to the plane of incidence) would contribute to the photocurrent (Figure 5). This condition arises because of the postulation of parallel momentum conservation of the emitted electrons which cross the interphasial boundary. Since the current, /, is proportional to the mean square field strength, and the relation... 

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