The forbidden 011 1 0 0 –000 0 0 0 E″–A1′ transition of 11 BF 3 has been observed in absorption in the infrared near 2140cm −1 . Although weak, the entire band is observed and does not show any sign of intensity borrowing from nearby bands. The transitions obey the electric dipole allowed selection rules Δk=±2, Δl=∓1. As shown by the J and K dependence of the line intensities, the band appears to derive its intensity from terms in the dipole moment operator described by Aliev and Watson [M.R. Aliev, J.K.G. Watson, Higher-order effects in the vibration–rotation spectra of semirigid molecules, in: K. Narahari Rao (Ed.), Molecular Spectroscopy: Modern Research, vol. III, Academic Press, Inc., New York, 1985 (Chapter 1).] in their description of “Higher-order effects in the vibration–rotation spectra of semirigid molecules”. That theory is further developed and it is shown that, for this particular case, the intensity comes largely from the term in the dipole moment operator that governs the intensity of the 002 2 0 0 –000 0 0 0 transitions and to a lesser extent from terms that govern the intensity of the 001 1 1 1 –000 0 0 0 transitions and the fundamental bands.