29 Si hyperfine ͑hf͒ structures of light-induced electron-spin-resonance ͑LESR͒ centers of gϭ2.004 and 2.01 have been investigated in undoped hydrogenated amorphous silicon (a-Si:H) with different 29 Si content ͑1.6, 4.7,9.1 at. %͒ by means of pulsed and multifrequency ͑3,11,34 GHz͒ ESR techniques. We have experimentally deconvoluted overlapping LESR signals using the difference in the spin-lattice relaxation time between the two signals. The deconvoluted 29 Si hf structure of gϭ2.004 indicates that the wave function of the gϭ2.004 center spreads mainly over two Si atoms. Accordingly, we propose that the origin of gϭ2.004 is electrons trapped in antibonding states of weak Si-Si bonds rather than those trapped at positively charged dangling bonds. The isotropic hf splittings were estimated to be around 7 mT for gϭ2.004 and below 3 mT for gϭ2.01, which are in good agreement with characteristics of the antibonding and bonding states of the weak Si-Si bond. We suggest, from our 29 Si hf data and other experimental findings, that the gϭ2.004 center is localized spatially more than conduction-band-tail electrons detected by photoluminescence.