Adiabatic potentials minima

An easy way to obtain the formula for the relaxation-origin absorption is to consider the limit oo cdq in the expression (28). However, we will follow the approach suggested by Sturge et al. [11] and discussed in detail in [2], in which inevitable strain of a crystal was taken into account. It was supposed that at one particular site local strain lowered one of the adiabatic potential minima by amount uq relative to others. If mq > cdq = rF, the system will (at F = 0) be localized in one of the valleys. At kT > uo, there will be thermal distribution among the minima. 

Another conclusion is that the temperature dependence of the mean dipole moment for vibronic systems has a complicated form essentially dependent on several parameters of the system (the effective electronic de and nuclear d dipole moments and the vibronic constant a or the values of the dipole moments in the adiabatic potential minima configurations d and the tunneling splitting magnitude, etc.). Therefore the measurement... 

Small asymmetric distortion of the adiabatic potential minima through a weak Jahn-Teller effect the stabilization-energy away from trigonal symmetry (ca. 0.013 eV) is considerably less than the zero-point energy of the distorting vibration [4],... 

Figure 67 (a) The adiabatic potential energy surfaces (Mexican hat) (b) the normal coordinates and (c) th projection of the potential energy surface (a) warped by the inclusion of higher order terms viewed down the prinrip axes of (a), with R]T = radius of the minimum potential432... 

Fig. 11.24 Adiabatic potential curves for the Rb-Rb system. The initially populated Rb nl Rydberg state can lead to associative ionization if its energy at R = exceeds the minimum of the Rb+ + Rb 5s potential well, as shown.

Once an adiabatic potential energy surface has been defined, the next step is to determine the minimum energy path (MEP). Within the... 

For JT problems of higher dimensions such as that for the T (e t2) problem, the adiabatic potential V is complicated and cannot be written down in an analytical form. However, in such problems, the least action path can be approximated by the minimum energy path (or path of steepest descent) on the adiabatic potential surface. It is the path for which the tangent to it is parallel to the gradient of the APES. 

For verification of such an assumption, we calculated the dependence of intensity of the highest A2g (the symmetry in R3c structure) vibration on the value of I Vc I we calculated the p that corresponds to the energy minimum (the bottom of adiabatic potential). For this value of p the phonon frequencies and RS lines intensity were averaged over all values of (l> (Fig. 3). 

A substantial improvement was obtained when we separated spatially the detection of the spin direction from the place where spin Hips are induced. This was achieved by a transfer of the ion from the analysis trap to the precision trap. The potential minimum in which the ion was kept is moved by adiabatic change of the storage voltages at the trap electrodes. While in the analysis trap... 

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