Nitrogen-to-refractory mass ratio of enriching solids necessary to reach Jupiter’s Nitrogen content as a function of total refractory mass added to Jupiter. It is assumed that Jupiter has accreted solar composition gas and that the excess nitrogen was brought in frozen on solids. The upper limit to the total heavy element mass is taken to be 27 M_⊕ (Wahl et al. 2017). This can be in the form of ice-poor or ice-rich bodies; for ice-poor bodies the refractory mass is assumed to be the total mass of heavy elements, for ice-rich bodies, assuming H₂O and CO are frozen out, as would be expected for a very N₂-rich body, the heavy element mass is around two times the refractory mass, meaning that only ∼12 M_⊕ of refractories can be accreted. The nitrogen-to-refractory mass ratios of ISM grains without N₂ ice (Boogert et al. 2015), comets (Altwegg et al. 2019), or CI chondrites (Lodders et al. 2009) have been added for comparison. None of these have a high-enough nitrogen fraction to enhance Jupiter’s atmosphere.