We have been studying a broad class of relevant physical properties of Heusler alloys, in particular, their magnetic structure as a function of temperature and disorder. We calculate magnetic moments, magnon spectra, the spin-stiffness constant, and critical (Curie) temperatures, as well as the transport properties. Besides that we investigate Heusler alloys at the hydrostatic pressure with the aim of deeper understanding of their properties. The transport properties, in particular, are very sensitive to the presence of any kind of disorder and to temperature. The full text >>