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Molecules undergoing extreme rotation. Figure 2. Angular distribution of the main fragments observed in the Multi Electron Dissociative Ionization (MEDI) of CO. PRL 82 , 3420 (1999). PRL 85 , 542 (2000). JCP 116, 10636 (2002). Rotational Energy Level Clusters.
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Figure 2. Angular distribution of the main fragments observed in the Multi Electron Dissociative Ionization (MEDI) of CO
Rotational Energy Level Clusters 1972 Dorney and WatsonCH4 8-fold and 6-fold clusters 1978 Zhilinskii and PavlichenkovH2O 4-fold clusters (Erb) 1978 Harter and Patterson Rotational energy surfaces and clusters 1991 LehmannLocal mode theory and clusters 1992 Kozin et alH2Se 4-fold clusters observed 1993 Kozin and JensenH2Se 4-fold cluster theory (Erbs) 1994 Jensen and Bunker H2X 4-fold cluster symmetry 1996 Kozin et al H2Te 4-fold clusters (exp and theory) 1997 Jensen et al Review paper on 4-fold clusters 2000 Jensen Review paper on LMT and clusters
Emphasis is put on explaining the intimate relationship between local mode vibrations and the formation of both vibrational and rovibrational energy level clusters.
H2Te Rigid Rotor Energy Levels [E(JKaKc)-E(JJ0)] 4 JJ,0 Ae=6.26, Be=6.11, Ce=3.09 cm-1 JJ,0 JJ,1 JJ,1 JJ-1,1 JJ-1,2 JJ-2,2 JJ-1,1 JJ-1,2 JJ-2,3 JJ-3,3 JJ-3,4 JJ-4,4 4 J
Actual H2Te Energy Levels [E(JKaKc)-E(JJ0)] JJ,0 JJ,0 JJ,1 JJ,1 JJ-1,1 JJ-1,1 JJ-1,2 JJ-1,2 JJ-2,2 JJ-2,3 JJ-3,3 JJ-3,4 JJ-4,4 J
1 1 JJ,0 JJ,1 2L 2R JJ-1,1 2 2 JJ-1,2 1 1 1R 1L 2 2 in C2v(M)
Kinetic Tunneling J even J odd A1B2 B1A2 A2B1 B2A1 1L 2R 2L 1R We can write For one form (12), E*, and (12)* are not feasible. “A dynamical barrier”. Thus the MS group is just {E} for each form and it must be chiral.
1 1 2R 2L 2 2 1 1 1R 1L 2 2 WHAT ARE THE LIFETIMES OF SUCH “DYNAMICALLY” CHIRAL STATES
at t=0 Using at time t 2
Probability of being in |1R> at time t is: ∆J For high J: i.e.
Time for probability to have decreased to 1/2 (Half-life)
∆J as function of J ∆J Zhilinskii and Pavlichenkov
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