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For evaluating ρ, we introduce a mean velocity (formula presented) and a width W (formula presented) for a rectangular form of velocity distribution of desorbed neutrals. At a time delay, neutral species with a velocity (formula presented) arrive at the center of the ionization volume which is separated from the surface by the distance, formula presented) Because of the finite size of the ionization volume, which is characterized by the diameter, of the volume, neutral species with velocities (formula presented) are present in the ionization volume at the delay time. For the time delay (formula presented) when the central part of the velocity distribution arrives at the center of the volume, (formula presented) is given by (formula presented) where (formula presented) Since (formula presented) the fraction can be evaluated as (formula presented) Under the present experimental condition that (formula presented) and (formula presented) we can estimate that (formula presented)
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For evaluating ρ, we introduce a mean velocity (formula presented) and a width W (formula presented) for a rectangular form of velocity distribution of desorbed neutrals. At a time delay t, neutral species with a velocity (formula presented) arrive at the center of the ionization volume which is separated from the surface by the distance L: (formula presented) Because of the finite size of the ionization volume, which is characterized by the diameter d of the volume, neutral species with velocities (formula presented) are present in the ionization volume at the delay time. For the time delay (formula presented) when the central part of the velocity distribution arrives at the center of the volume, (formula presented) is given by (formula presented) where (formula presented) Since (formula presented) the fraction can be evaluated as (formula presented) Under the present experimental condition that (formula presented) and (formula presented) we can estimate that (formula presented)
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As shown by the analysis of the results in Fig. 55, the effective excitation cross section (formula presented) is not dependent on the excitation laser intensity φ. If the nonlinear decay process of the excited state is significant, then we have solutions of (formula presented) which is nonlinearly dependent on φ. In such a case, we have fluence-dependent (formula presented), which is not consistent with the results. Therefore, the first-order decay should be assumed to be much larger than the nonlinear decay of the excited species. This is not at all contradictory to the idea of two-hole localization, since two-hole localization is assumed to take place successively, not simultaneously. The successive capture of the second hole by the first-hole localized site can be treated in the frame of monomolecular decay of the excited species (Ref
-
As shown by the analysis of the results in Fig. 55, the effective excitation cross section (formula presented) is not dependent on the excitation laser intensity φ. If the nonlinear decay process of the excited state is significant, then we have solutions of (formula presented) which is nonlinearly dependent on φ. In such a case, we have fluence-dependent (formula presented), which is not consistent with the results. Therefore, the first-order decay should be assumed to be much larger than the nonlinear decay of the excited species. This is not at all contradictory to the idea of two-hole localization, since two-hole localization is assumed to take place successively, not simultaneously. The successive capture of the second hole by the first-hole localized site can be treated in the frame of monomolecular decay of the excited species (Ref. 22).
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