| Project/Area Number |
03804034
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
有機化学一般
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| Research Institution | Saitama University |
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Principal Investigator |
NOHIRA Hiroyuki Saitama Univ., Faculty of Engineering, Professor, 工学部, 教授 (50008819)
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| Co-Investigator(Kenkyū-buntansha) |
MIYASHITA Akira Saitama Univ., Faculty of Engineering, Assistant Professor, 工学部, 助教授 (90132729)
MACHIGUCHI Takahisha Saitama Univ., College of Liberal Arts and Science, Professor, 教養部, 教授 (00008864)
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| Project Period (FY) |
1991 – 1992
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| Project Status |
Completed (Fiscal Year 1992)
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| Budget Amount *help |
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1992: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1991: ¥1,600,000 (Direct Cost: ¥1,600,000)
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| Keywords | Orbital-Phase conservation / Woodward-Hoffmann rule / cis-trans isomerization / Electrocyclic Reaction / Correlation diagram / Frontier Orbital / Tropone / Spiropyran / WoodwardーHoffmann理論 / cisーtrans異性化反応 |
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| Research Abstract |
We have proposed a principle of orbital-phase conservation which comprises that in an elementary reaction the phases of molecular orbitals of the reactant should be conserved in those of the product with minimum deformation. As the conservation of orbital-phase is very important concept in this principle, we have attempted to formulate this concept.
First, we consider an elementary reaction from A to B, the conservation of orbital-phase are shown as eq.(1). N=<PSI^B|Q|PSI^A> (1)
Here, N is a conservation factor which exhibits the correlation between the wave functions of A and those of B, Q is an appropriate operator for the reaction from A to B. N_<ij> corresponds to the overlap integral between |PSI_j^B> and Q|PSI_i^A>. The conservation of orbital-phase is estimated by |N_<ij>|^2, because a sign of N_<ij> is not significant.
Second, the total conservation factor is defined as PHI_<ij>・・・kl=|N_<ij>|^2・・・|N_<kl>|^2 (2)
A correlation diagram for an elementary reaction corresponds to a total conservation factor, the most appropriate one corresponds to the largest value of the total conservation factor.
Here, we apply the principle to analyze the cis-trans isomerization of olefins and the electrocyclic reactions employing the simple Huckel MO calculations. The result obtained demonstrates that the method is applicable and virtually compatible with the experimental facts.
On the other hand, the toropones having pi-electrons were synthesized and analyzed with MO calculations.
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