Neutron radius of \( {}^{208}\mbox{Pb} \), recently extracted from the PREX experiment at Jefferson Laboratory can be used to constrain the equation of state of neutron matter. A related quantity to the neutron rms radius \( r_n^{\mathrm{rms}}=\langle r^2\rangle_n^{1/2} \) is the neutron skin \( r_{\mathrm{skin}}=r_n^{\mathrm{rms}}-r_p^{\mathrm{rms}} \), where \( r_p^{\mathrm{rms}} \) is the corresponding proton rms radius. There are several properties which relate the thickness of the neutron skin to quantities in nuclei and nuclear matter, such as the symmetry energy at the saturation point for nuclear matter, the slope of the equation of state for neutron matter or the low-energy electric dipole strength due to the pigmy dipole resonance.