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Non-zero cross terms are due to the Duschinsky effect. We calculated Duschinsky matrix S, Q′, SQ, where Q′ and Q are the normal modes of the naphthalene and the naphthalene anion. The smallest diagonal terms of S are 0.92-0.93 for ag(6) and a g(7, which is larger than that of benzene. In other words, the Duschinsky effect of naphthalene is less important than that for benzene. Moreover, the off-diagonal elements other than that between ag(6) and ag(7) are small, and the diagonal elements are almost equal to unity. Therefore, the Duschinsky effect does not play an important role in the present system, and we neglect the cross term in the fourth term of eq 4
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