Semiconductor Nanocrystals and Silicate Nanoparticles
this volume in the longstanding Structure and Bonding series is a useful compilation of up-to-date reviews regarding semiconductor nanocrystals, especially those of the often-studied II-VI variety. It also continues its tradition of choosing respected scientists in the field that produce lucid papers of value. Studies of semiconductor nanocrystals remain a key component in the repertoire of materials chemistry. As these materials enjoy sustained relevance to applications in optoelectronic materials and biological labeling, updated, in-depth reviews of their fundamental properties continue to be a valuable resource to those interested in the field.
Magnetic Functions Beyond the Spin-Hamiltonian
Using the spin-Hamiltonian formalism the magnetic parameters are introduced through the components of the Lambda-tensor involving only the matrix elements of the angular momentum operator. The energy levels for a variety of spins are generated and the modeling of the magnetization, the magnetic susceptibility and the heat capacity is done. Theoretical formulae necessary in performing the energy level calculations for a multi-term system are prepared with the help of the irreducible tensor operator approach. The goal of the programming lies in the fact that the entire relevant matrix elements (electron repulsion, crystal field, spin-orbit interaction, orbital-Zeeman, and spin-Zeeman operators) are evaluated in the basis set of free-atom terms. The modeling of the zero-field splitting is done at three levels of sophistication. The spin-Hamiltonian formalism offers simple formulae for the magnetic parameters by evaluating the matrix elements of the angular momentum operator in the basis set of the crystal-field terms. The magnetic functions for dn complexes are modeled for a wide range of the crystal-field strengths.

