Models of the r process are sensitive to the production rate of 9 Be because, in explosive environments rich in neutrons, α(αn, γ ) 9 Be is the primary mechanism for bridging the stability gaps at A = 5 and A = 8. The α(αn, γ ) 9 Be reaction represents a two-step process, consisting of α + α → 8 Be followed by 8 Be(n, γ ) 9 Be. We report here on a new absolute cross-section measurement for the 9 Be(γ, n) 8 Be reaction conducted using a highly efficient, 3 He-based neutron detector and nearly monoenergetic photon beams, covering energies from E γ = 1.5 MeV to E γ = 5.2 MeV, produced by the High Intensity γ -ray Source of Triangle Universities Nuclear Laboratory. In the astrophysically important threshold energy region, the present cross sections are 40% larger than those found in most previous measurements and are accurate to ±10% (95% confidence). The revised thermonuclear α(αn, γ ) 9 Be reaction rate could have implications for the r process in explosive environments such as type II supernovae.