The modulus and phase of the complex third-order nonlinear optical (NLO) susceptibility X 3 ( -3to\co,co,co) have been measured on an all-trans silicon polymer, poly(dihexylsilane), over a wide photon energy range. Several distinct structures observed in the f (3) spectra are in excellent agreement with the theoretical results of a one-dimensional (ID) exciton model. Important aspects of the ID Wannier-like exciton structure in polysilanes are elucidated in relation to the NLO processes.PACS numbers: 73.20.Dx, 42.70.Nq, 78.65.He Much interest has been focused on the quasi-onedimensional (ID) semiconductors. In a-bonded inorganic semiconductors, nanoscopic structures called quantum wires are fabricated by elaborate techniques of crystal growth and microlithography [1]. Meanwhile, various organic polymers are synthesized to utilize the delocalized ^•-conjugated electronic states on the linear polymer chains [2]. In such quasi-lD inorganic as well as organic semiconductors, the lowest dipole-allowed exciton is predicted to have a very large binding energy and an unusually strong oscillator strength [3][4][5], due to the singular character of the ID Coulomb potential for excitons [6]. This problem has attracted considerable interest from the viewpoint of solid-state physics, but the details remain unexplored as of yet. In this paper, we report the thirdorder nonlinear optical (NLO) spectra of a silicon polymer, polysilane, demonstrating that the characteristic features of quasi-ID (Wannier-like) excitons can be fully revealed by nonlinear optical spectroscopy.Among the various kinds of polysilanes (TSi/?/?T, R and R' being organic sidegroups) with different conformations [7], we have chosen poly(dihexylsilane) (PDHS; R,R' =C 6 H 13) with an all-trans planar structure of obonded Si chains (with a djh symmetry), which may be regarded as a model system of the 1 D analog (or "an ultimate quantum wire") of a 3D silicon crystal. This polymer is predicted to have a direct gap between the obond-like valence band and the a* -bond-like conduction band at the T point [8]. The sharp absorption peak at 3.30 eV is assigned to the lowest allowed X B U exciton, while the two-photon absorption peak at 4.19 eV [9-1 1] is assigned to the second forbidden ] A g exciton. However, the whole profile of the ID excitonic structure has not yet been disclosed.To elucidate the quasi-lD excitonic structure in PDHS, we have undertaken extensive NLO spectroscopy over a wide photon energy range, as recently attempted on various ^--conjugated polymers [12]. In the sample preparation, PDHS powders with molecular weight of about 2.44xl0 5 were dissolved in heptane, and the solution was spin casted onto synthetic fused silica plates to form unoriented film samples. The films were dried at 380 K for 15 min and allowed to stand at room temperature overnight, before optical measurements.In the measurements of x 3 (~~3(o,co,co,a)) three kinds of tunable laser systems were used: a dye laser driven by a 15-ns-wide Xe-Cl excimer laser with use of thirteen ...