Studies on Energy Level Splitting of 9-Hydroxyphenalenone in the Ground State by Using a Solvable Sextic Function

Abstract

Abstract: The double-well potential model is very useful for describing proton transfer.And the curve pic-ture of the sextic function V(R, γ) =R⁶+2γR⁴ + (γ²+μ)R² has a double-well form, when γ and μ satisfya specific conditions.So it can be used as the potential function of proton transfer by modification.Mostimportantly, its corresponding Schrdriinger equation has exact1y analytic solutions.Thus it shows its su-periority over the quartic one V(R) =A(R⁴-BR²) which has double-well form, but is not a solvable po-tential function.Based on the sextic function, the energy level splitting of the ground state of 9-hydrox-yphenalone was studied by using linear variational method.The obtained results is better compared withthe experimental ones.

Key words: Proton transfer, Tunneling effect, Energy level splitting, Solvable potential function

CLC Number:

O641

TrendMD:

LIU Hai-Ying, DING Shi-Liang. Studies on Energy Level Splitting of 9-Hydroxyphenalenone in the Ground State by Using a Solvable Sextic Function[J]. Chem. J. Chinese Universities, 2002, 23(5): 941.

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Studies on Energy Level Splitting of 9-Hydroxyphenalenone in the Ground State by Using a Solvable Sextic Function

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