Free-Electron Ring Model of Polyacenes
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Electronic energy levels of polyacenes are calculated by assuming their π electrons to move freely in a ring of a circumference which is equal to the perimeter length of the polyacene molecule. The interaction between π-electrons is assumed to be the long range part of the Coulomb interaction. The short range part is omitted by the zero cut-off at 0.48l of the arc length where l is the distance between adjacent carbons in the molecule. The agreement between calculated and observed levels is fairly well.
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