A new group of "breathing" crystals has been synthesized. These are aromatic solvates of the copper(II) hexafluoroacetylacetonate complex with spin-labeled pyrazole Cu(hfac)(2)L center dot 0.5Solv, where L is 2-(1-butyl-1H-pyrazol-4-yl)-4,4,5,5-tetramethyl-4,5-dihydro-1H-imidazole -3-oxide-1-oxyl and Solv is benzene, toluene, ethylbenzene, propylbenzene, butylbenzene, styrene, o-xylene, m-xylene, p-xylene, 1,4-bis(trifluoromethyl)benzene, 1-methyl-4-ethylbenzene, 1-methyl-4-vinylbenzene, 1,4-diethylbenzene,. 1,2,3-trimethylbenzene, or 1,2,4-trimethylbenzene. The main feature of Cu(hfac)(2)L center dot 0.5Solv single crystals is their remarkable mechanical stability and ability to undergo thermally induced structural rearrangements accompanied by spin-crossover-like phenomena. The structures of Cu(hfac)(2)L center dot 0.5Solv solvates are similar and based on mutually parallel {Cu(hfac)(2)L}(infinity) heterospin chains with a "head-to-head" motif. The localization of voids with guest molecules being the same in all crystals, the temperature dependence of the effective magnetic moment (mu(eff)) for Cu(hfac)(2)L center dot 0.5Solv is determined by the structure of the guest molecules, along which the polymer chains are "gliding" when the temperature changes. When the temperature decreased from 300 to 100-50 K, mu(eff) decreased, abruptly or gradually, from 2.7-2.4 to similar to 1.8 beta for the majority of Cu(hfac)(2)L center dot 0.5Solv except the solvates with benzene, toluene, and 1,4-bis(trifluoromethyl)benzene. When Cu(hfac)(2)L center dot 0.5C(6)H(6) and Cu(hfac)(2)L center dot 0.5CH(3)-C6H5 were cooled to 50 K, mu(eff) decreased to similar to 2.1-2.2 beta. When Cu(hfac)(2)L center dot 0.5(1,4-(CF3)(2)-C6H4) was cooled to 50K, mu(eff) initially decreased from to similar to 2.7 to 1.9 beta and then abruptly increased to similar to 2.4 beta. A single-crystal X-ray diffraction analysis of each solvate within a temperature range wider than the range of magnetic anomaly temperatures revealed a complex interrelated dynamics of the aromatic solvent guest molecules and heterospin chains. The dynamics largely depended on the orientation of the solvent guest molecules relative to the polymer chains. An analysis of the thermally induced phase transformations revealed a relationship between the structural rearrangement of Cu(hfac)(2)L center dot 0.5Solv and the form of the magnetic anomaly on the mu(eff)(T) curve and between the structural rearrangement of the solvate and the temperature of the magnetic effect.