Frozen-lattice trajectory

The frozen-lattice trajectory of the gas atom is thus fixed by the orbit equati... 

Thus the time-dependent force exerted by the gas particle on the surface atom during its frozen-lattice trajectory is... 

Fig.3.2. Shown for two D/E ratios are the frequency components of the force exerted by the gas on the surface oscillator when the gas moves on the frozen lattice trajectory (3.15)., ...

The difference between (3.27,28) is that in obtaining (3.28) we have allowed the trajectory of the incident particle to "readjust" its motion during the collision event. This suggests that we can to some extent correct the results derived from (3.20) and (3.15) to remove the effects of the frozen-lattice assumption by a simple renormalization. That is, we could modify (3.26) [and (3.23)] by requiring that the results match the known impulsive limits. Equation (3.26) thus becomes... 

Figure 8.1. The diffusion along IPMS by mobile ions in binary solid electrolytes, (a) Partition of the ln)ii]/-cfntrcd cubic (bcc) lattice into two primitwe cubic sub-lattices, separated by the P-surface. Average positions of the (mobile) silver cations, detected from X-ray measurements, in the solid electrolyte a-AgI are indicated by the smaller red spheres on the surface. The larger dark red spheres define the bcc lattice of the (frozen) iodine ions (only two occupied sites of the bcc array are shown), (b ) The bcc lattice can also be partitioned into two diamond sub-lattices by the D-surface. The curved net on the surface described trajectories of mobile Ag ions on the D-surface vertices of the net locate the average I" positions.

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