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The form of the nuclear symmetry energy $E_s$ around saturation point densityleads to a different crust-core transition point in the neutron star and affectthe crust properties. We show that the knowledge about $E_s$ close to thesaturation point is not sufficient, because the very low density behaviour isrelevant. We also claim that crust properties are strongly influenced by thevery high density behavior of $E_s$, so in order to conclude about the form oflow density part of the symmetry energy one must isolate properly the highdensity part.

Low density symmetry energy effects in the neutron star crust properties