Nanocrystalline Materials

The special features of the magnetic properties of the nanoparticles are associated with the discrete electronic and phonon states. One of these special features is the oscillation dependence of the susceptibility of the nanoparticles of paramagnetic metals on the strength of the magnetic field H. In addition to this, Curie paramagnetism may greatly overlap Pauli paramagnetism of metals due to a small size of the nanoparticles. The results of theoretical and experimental investigations of the magnetic properties of nanoparticles of paramagnetics are considered in reviews [10,11].
The effect of the degeneration of the electronic states on the magnetic susceptibility of the small particles of paramagnetic metals taking into account the even or odd number of electrons in them was discussed in [109,110,129]. In weak magnetic fields ? p H ? ? ( ? p is magnetic permeability, ? is the energy distance between the adjacent electronic levels) the electronic spin paramagnetism of the metallic particles with the even number of the electrons at a low temperature k B T/ ? ? 1 decreases to almost zero, but does not disappear completely as a result of the existing weak spin-orbital interaction. In particles with an odd number of electrons, a decrease in temperature leads to increasing the paramagnetic susceptibility in accordance with the Curie law [130]. At high temperature k B T/ ? > 1 the paramagnetism of the metallic particles with the even and odd numbers of the electrons...