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Abstract
Some key concepts which are needed in order to investigate the magnetic properties of high nuclearity spin clusters, HNSC, are reviewed. Particular mention is made of spin frustration, superparamagnetism, and of the problems associated with the calculation of the spin levels and of the magnetic susceptibility of the clusters. Spin frustration is described with a simple example of a trinuclear iron(III) complex. Superparamagnetism is introduced and an experimental case when it can be observed in an HNSC is discussed. An Irreducible Tensor Operator approach to the calculation of the spin levels and of the magnetic susceptibility is advocated and discussed in the form of a sample calculation on hexanuclear iron(III) clusters.