An extended configuration interaction calculation of the wavefunction and potential curve for the B-1 Sigma(+) state of BH reveals that this state has a double minimum in its potential curve somewhat analogous to the E, F-1 Sigma(+)(g) state of H-2. Only the transitions to levels in the inner minimum have yet been observed spectroscopically. K Predictions are made of the position and spacings of vibrational levels in the outer minimum and above the maximum in the B-1 Sigma(+) potential curve.