We define a new thermospheric concept, the reference heights of O/N_{2}, referring to a series of thermospheric heights corresponding to the fixed ratios of O to N_{2} number density. Here, based on Global Ultraviolet Imager (GUVI) limb measurement, we compare O/N_{2} column density ratio (∑O/N_{2}) and the reference heights of O/N_{2}. We choose the transition height of O and N_{2} (transition height hereafter), a special reference height at which O number density is equal to N_{2} number density, to verify the connection with ∑O/N_{2} during geomagnetically quiet periods. It is found that transition height and ∑O/N_{2} have noticeable negative correlation with correlation coefficient of ‐0.887. An empirical model of transition height (O/N_{2} model hereafter) is established based on nonlinear least‐squares‐fitting method. The considerable correlation (greater than 0.96), insignificant errors (less than 4%) and the great influencing weight of ∑O/N_{2} to reference heights indicate the validity of O/N_{2} model and the existence of quantitative relation between ∑O/N_{2} and transition height. Besides, it is verified that the similar quantitative relation also exists between ∑O/N_{2} and reference heights of other O/N_{2} values. Namely, using the O/N_{2} model coefficients, we can roughly get the whole altitude profiles of O/N_{2} within 6% precision for any given ∑O/N_{2}.