Love numbers k₂ as a function of the envelope metallicity. Shown are the same models as in Fig. 2. The numbers close to some models give the core mass in M_⊕. The shaded areas demonstrate how models can be ruled out by taking into account the k₂ intervals and assuming that the envelope metallicity is at least the stellar metallicity. Considering the information from the model atmosphere the favored models reduce to the green shaded area.