Download Molecular Nanomagnets by Dante Gatteschi, Roberta Sessoli, Jacques Villain PDF

By Dante Gatteschi, Roberta Sessoli, Jacques Villain

Nanomagnetism is a swiftly increasing zone of study which seems to be in a position to offer novel functions. Magnetic molecules are on the very backside of the potential measurement of nanomagnets and so they supply a different chance to watch the coexistence of classical and quantum houses. the invention within the early 90's cluster comprising twelve manganese ions exhibits hyteresis of molecular starting place, and later proved facts of quantum results, opened a brand new study region that's nonetheless flourishing in the course of the collaboration of chemists and physicists. This ebook is the 1st try to conceal intimately the recent sector of molecular nanomagnetism, for which no different publication is on the market. actually, study and assessment articles and ebook chapters are the one instruments to be had for brand new comers and the specialists within the box. it truly is written by way of the chemists originators and via a theorist who has been one of many protagonists of the advance of the sphere, and is explicitly addressed to an viewers of chemists and physicists, aiming to take advantage of a language compatible for the 2 groups.

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Example text

E. k12 = 0. In the Hamiltonian there is no operator corresponding to the coordinates of the spins 3 and 4, therefore k3 = k4 = k123 = k = 0. 5. Relations between 6-j and 9-j symbols in special cases. The first column gives the 9-j symbol, the second the equivalent 6-j product. 6. Eigenfunctions of S 2 for four S = 21 spins.

E. assuming that in a first approximation the unpaired spin density is localized on the d orbitals and partially delocalized on the bridging ligands. These orbitals have a spin density on the bridging ligands, and the conditions for coupling are determined by the overlap density there. An example is shown in Fig. 5. It corresponds to two metal ions bridged by a cyanide, CN− , group as it is found in the Prussian blue family of molecular magnets. The A C N C N B Fig. 5. Natural magnetic orbitals for two ions bridged by a CN− group.

The states of lowest energy form a space inside which the spin–orbit coupling matrix elements are not zero, so that the spin–orbit coupling actively works to quench the orbital degeneracy. Low-symmetry components, however, can still be operative. The result is that in general the T states have a very complex magnetic behaviour, characterized by high magnetic anisotropy. A typical example is cobalt(II), which is characterized by a ground 4 T1g state. In octahedral symmetry spin–orbit coupling removes the degeneracy of order twelve (three orbital and four spin components), giving rise to two quartets and two Kramers doublets.

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