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We present size dependent spin and orbital magnetic moments of cobalt (Co$_{n}$$^{+}$, 8 ≤ n ≤ 22), iron (Fe$_{n}$$^{+}$,  7 ≤ n ≤ 17),  and  nickel  cluster  (Ni$_{n}$$^{+}$,  7 ≤ n ≤ 17)  cations  as  obtained  by  X-ray  magnetic circular  dichroism  (XMCD)  spectroscopy  of  isolated  clusters  in  the  gas  phase.  The  spin  and orbital  magnetic  moments  range  between  the  corresponding  atomic  and  bulk  values  in  all  three cases.  We  compare  our  findings  to  previous  XMCD  data,  Stern-Gerlach  data,  and  computational results.  We  discuss  the  application  of  scaling  laws  to  the  size  dependent  evolution  of  the  spin and  orbital  magnetic  moments  per  atom  in  the  clusters.  We  find  a  spin  scaling  law  “per  cluster diameter,” ~n$^{−1/3}$, that interpolates between known atomic and bulk values. In remarkable contrast, the orbital moments do likewise only if the atomic asymptote is exempt. A concept of “primary” and  “secondary”  (induced)  orbital  moments  is  invoked  for  interpretation

The spin and orbital contributions to the total magnetic moments of free Fe, Co, and Ni clusters