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Accurate knowledge of the neutron energy spectra is useful in basic researchand applications. The overall procedure of measuring and unfolding the fastneutron energy spectra with BC501A liquid scintillation detector is described.The recoil proton spectrum of Am-Be neutrons was obtained experimentally. Withthe NRESP7 code, the response matrix of detector was simulated. Combining therecoil proton spectrum and response matrix, the unfolding of neutron spectrawas performed by GRAVEL iterative algorithm. A MatLab program based on theGRAVEL method was developed. The continuous neutron spectrum of Am-Be sourceand monoenergetic neutron spectrum of D-T source have been unfoldedsuccessfully and are in good agreement with their standard reference spectra.The unfolded Am-Be spectrum are more accurate than the spectra unfolded byartificial neural networks in recent years.

Unfolding the fast neutron spectra of a BC501A liquid scintillation detector using GRAVEL method