1 research outputs found
Open-Shell Character and Second Hyperpolarizabilities of One-Dimensional Chromium(II) Chains: Size Dependence and Bond-Length Alternation Effect
Using
the long-range corrected spin-unrestricted density functional
theory (LC-UBLYP) method, we have investigated the longitudinal third-order
nonlinear optical (NLO) properties, i.e., the second hyperpolarizabilities
γ of open-shell singlet one-dimensional (1D) extended metal
atom chain (EMAC) systems, chromiumÂ(II) chains Cr<sup>II</sup><sub>2<i>n</i></sub> (<i>n</i> = 1–4), with
different metal–metal bond lengths from the viewpoint of the
open-shell character dependences of each d orbital contribution (dσ,
dπ, dδ) to γ and of the chain-length dependence
of γ. It turns out that the chain length dependences of the
open-shell characters of dπ and dδ orbitals at any metal–metal
bond length are negligible, while the dσ open-shell character
decreases as a function of chain length. The systems display bell-shaped
behaviors of γ as a function of the metal–metal bond
length, in which the γ values attain maxima for intermediate
dσ open-shell character. The maximum γ value (γ<sub>max</sub>) exhibits remarkable enhancement as a function of chain
length. It is also found that the bond length alternation (BLA) significantly
affects the γ values and their chain-length dependences. The
present results provide the guiding principles for designing transition-metal
complexes with open-shell singlet 1D metallic chains exhibiting large
third-order optical nonlinearity