Author Institution: Laboratories de Physique Mol\'eculaire at Atmosph\'erique, Tour 13. Universit\'e Pierre et Marie Curie et CNRS; Laboratoire de M\'et\'eorologie Dynamique, CNRS, Ecole PolytechniqueThe internuclear potential up to sextic terms and the equilibrium structure of nitrous oxide molecule are reinvestigated using the algebraized contact transformation method previously applied to carbon dioxide. Infrared spectroscopic data for a large number of vibrational levels belonging to six isotopic species of N2βO are included in the refinement. The following R.M.S. between calculated and experimental molecular constants are obtained (cmβ1)CONSTANTSGvβBvβDvββNUMBER267319333βR.M.S0.0472.16Γ10β55.64Γ10.β9β The equilibrium bond lengths are found to be (A) rMMβ=1.127292(37)rMOβ=1.185089(37) from which accurate values of equlibrium and ground state rotational constants are calculated for the 12 isotopic species of $N_{2}O.