X-ray emission transition energies and probabilities have been calculated for the core-excited states of the oxygen atom in the N₂O molecule at the ab initio Delta SCF level. The oxygen core electron was excited to the 3 pi and 8 sigma unoccupied molecular orbitals and comparisons of the X-ray emission pathways were made with the core-ionized excited state. To measure the effects of geometry relaxation in the initial states, pointwise geometry optimizations were also performed on the core-excited states. It was determined that the inclusion of multicentre contributions for the initial and final states is essential for interpreting the calculated spectra.