Structure and Properties of Atomic Nanoclusters Downloaded from www.worldscientific.com by KAINAN UNIVERSITY on 03/11/15. For personal use only.Magnetism 319 subshells are separated by the exchange interaction. These atoms have nonzero spins, and since the spin magnetic moment of an electron is 1 Bohr magneton (µ B ), the atoms have substantial moments. When the atoms come together in a cluster or in a metal, the overlap between the atomic orbitals of neighbor atoms gives rise to energy bands. The levels corresponding to 4s electrons produce a free electron-like band with a width in the solid of W = 20-30 eV, while the d electrons stay localized on the atomic sites, and the d band width is much smaller, typically 5-10 eV in the bulk. The crystal potential stabilizes the d and s states by different amounts. This, plus spd hybridization, leads to charge transfer from s to d states, and the number of s electrons for systems other than the atom is close to 1. Assuming that the 3d orbitals are atomic-like, Hund's rule requires the majority 3d ↑ sub-band to be fully occupied with five electrons per atom while the minority 3d ↓ sub-band has two, three, and four electrons per atom in Fe, Co and Ni, respectively. The difference in the number of spin ↑ and spin ↓ 3d electrons per atom is n d ( ↑ ) -n d ( ↓ ) = 3, 2, 1 for Fe, Co, and Ni, respectively, and the magnetic moments per atom are µ (Fe) = 3 µ B , µ (Co) = 2 µ B , µ (Ni) = 1µ B . These values are quite close to the magnetic moments of very small clusters. The bulk moments, µ (Fe) = 2.2 µ B , µ (Co) = 1.7 µ B , µ (Ni) = 0.64µ B , are smaller, and their noninteger values originate in the partial delocalization of the 3d electrons, which also contributes to the mutual alignment of the moments. This is known as itinerant exchange. The onset of delocalization of the d electrons has been studied by comparing the photoelectron spectra of Ni N − and Pd N − to those of Cu N − [11,12]. In small Cu clusters the orbitals of the 3d 10 shell are well localized, and bonding is due mainly to the 4s electrons. The photoelectron spectra of Ni N − clusters with N ≤ 6 are similar to the spectra for Cu N − . The reason is that the 3d orbitals of Ni clusters (N < 7)are well localized and the interaction between the 3d 9 cores of different atoms is negligible. The spectra of larger clusters reflects the delocalization of the 3d electrons. Data for small Pd N − clusters presents some similarities to Ni N − . Structure and Properties of Atomic Nanoclusters Downloaded from www.worldscientific.com by KAINAN UNIVERSITY on 03/11/15. For personal use only. Structure and Properties of Atomic Nanoclusters Downloaded from www.worldscientific.com by KAINAN UNIVERSITY on 03/11/15. For personal use only.