Theoretical Study on Third-Order Nonlinear Optical Properties for One-Hole-Doped Diradicaloids

Abstract

We investigate the relationships between open-shell character and longitudinal static second hyperpolarizabilities γfor one-hole-doped diradicaloids using the strong-correlated ab initio molecular orbital methods and simple one-dimensional (1D) three-site two-electron (3s-2e) models. As examples of one-hole-doped diradicaloids, we examine H3+, methyl radical trimer cation ((CH3)3+), silyl radical trimer cation ((SiH3)3+), and 1,2,3,5-dithiadizolyl trimer cation (DTDA3+). For H3+, the static γexhibits negative values and shows a monotonic increase in amplitude with an increase in the open-shell character defined by a neighbor-site interaction (yS). On the other hand, it is found for (CH3)3+, (SiH3)3+, and DTDA3+ that the static γvalue exhibits similar behavior to that for H3+ up to an intermediate yS value, while it takes the negative maximum at a large yS value, followed by a decrease in γamplitude, and subsequently, γchanges to positive values with a drastic increase for larger yS values. For example, in DTDA3+, the negative/positive γvalues, -69 × 105/700 × 105 au at yS = 0.75/0.87, exhibit significant enhancements in amplitude, 2.4/24 times as large as that (-29 × 105 au) at intermediate yS = 0.59 as is often the case in DTDA2. Using the 1D 3s-2e valence-bond configuration interaction model, these sign inversions and drastic increase in the amplitude of γare found to originate in the differences in Coulomb interactions between valence electrons, between valence and core electrons, and between valence electrons and nuclei. These results contribute to pave the way for the construction of novel control guidelines for the amplitude and sign of γfor one-hole-doped diradicaloids.