def sigma_eff_rad(t):
    z = nfwso.get_z(t)
    sm = stellar_mass(t)
    return 190.*(sm/1.e11)**0.2*(1.+z)**0.47
def get_eff_rad(t):
    z = nfwso.get_z(t)
    sm = stellar_mass(t)
    return 2500*(sm/1.e11)**0.73*(1.+z)**-0.98