Bounds on the asymptotic D/S-state ratio of the deuteron established in an earlier paper are updated, with account of meson-exchange-current effects and new data. A method has been derived which determines whether or not the long-range part of a two-body potential model is consistent with measured deuteron properties, independent of the short-range behaviour. The outer part of the deuteron wavefunction is determined within narrow limits. Loose bounds on the pion-nucleon coupling constant are established.