The magnetic properties of the ground state of a low-density free-electron
gas in three dimensions have been the subject of theoretical speculation an
d controversy for seven decades(1). Not only is this a difficult theoretica
l problem to solve, it is also a problem which has not hitherto been direct
ly addressed experimentally. Here we report measurements on electron-doped
calcium hexaboride (CaB6) which, we argue, show that-at a density of 7 x 10
(19) electrons cm(-3)-the ground state is ferromagnetically polarized with
a saturation moment of 0.07 mu(B) per electron. Surprisingly, the magnetic
ordering temperature of this itinerant ferromagnet is 600 K, of the order o
f the Fermi temperature of the electron gas.