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Schematic view of the magnetic couplings according to the McConnell spin density mechanism. Arrows indicate the total spin of each molecular subunit symbolized by a square. Dark and grey TMorbitals∫ denote the positive and negative spin densities, respectively, and smaller TMorbitals∫ illustrate the spin polarization. 

Schematic view of the magnetic couplings according to the McConnell spin density mechanism. Arrows indicate the total spin of each molecular subunit symbolized by a square. Dark and grey TMorbitals∫ denote the positive and negative spin densities, respectively, and smaller TMorbitals∫ illustrate the spin polarization. 

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The nitronyl nitroxide 2-cyano-4,4,5,5-tetramethylimidazoline-1-oxyl-3-oxide (1) crystallises in the tetragonal P42(1)m space group with a=7.4050(7), c=8.649(1) A. In the crystal the molecules form layers parallel to the ab plane in which they are orthogonal to each other. In the layers there are close contacts, 2.953(2) A, between the NO groups an...

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... data by using a literature model for a 2D square- planar lattice of antiferromagnetically coupled spins S 1/2. [7] The best fit gave J À 10 cm À 1 and g 2.01. As mentioned before, the closest spin ± spin interaction is between the central carbon atom C2 and the oxygen atom in a neighbouring molecule (O1 À C2 2.953(2) ä). Both simple molecular orbital considerations and experimental observa- tions indicate that the spin density on C2 is negative and approximately 5 ± 15 % of the positive spin on O1. [8] Further- more, the consequence of the crystallographic symmetry is to make the p z orbitals (taking the xy plane as the molecular plane) on C2 and O1 orthogonal in the quantum-chemical sense (overlap 0). In terms of Figure 1, the radical 1 is clearly a case IV, and the antiferromagnetism thus readily explained. However, it has been put forward that it may be misleading to take into account only the shortest spin ± spin interaction. [9] It may thus be argued that the larger spin densities on neighbouring O and N atoms may make up for the longer distance (O1 À N1 3.251(2)) and play a role in determining the overall magnetic interaction. To prove the TMcase IV∫ mechanism we would have to grow crystals of a different phase with the radicals 1 slightly tilted, in order to break the orthogonality, but retaining the C2 À O1 interaction as the closest spin ± spin contact. The system should then revert to a TMcase III∫ ferromagnetic coupling similar to that found in, for example, 5-pyrimidinyl-nitronyl nitroxide. [10] Density functional theory calculations : An experiment such as that mentioned above could only be carried out with the help of a good portion of luck and a lot of patience. However, a second best possibility was available, density functional theory calculations. We chose a three-radical system (see Figure 5) where we first calculated the magnetic coupling for a system with the X-ray geometry to J À 25 cm À 1 , a reasonable agreement with the experimental value ( À 10 cm À 1 ) considering the differences between the model system and the real system. The two peripheral radicals were then rotated 10 ...

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... They may occur either through a direct interaction between the NÀO group [30] or a McConnell-type interaction. [31] In the present case, a McConneltype interaction is unlikely as it requires that the phenyl groups bearing the radical come close in a stacking mode, which is sterically prevented by the bulky neopenthyl substituents. We favor a direct interaction of the NÀO group in a headto-tail mode (Figure 4) that generally results in strong antiferromagnetic interaction and a diamagnetic behavior as is observed here for 10. ...
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... This should lead to antiferromagnetic (AF) exchange interactions between RAs. If two paramagnetic species in heterospin salts mainly contact each other in the regions of unlike spin density, ferromagnetic (FM) interactions are possible187188189190191192193194.Figure 15. Spin density (ρ) distribution over the VdW surface of RA of compound 22 (left) and cation [CrCp* 2 ] + (right) from the UB3LYP/6-31+G(d) calculations. ...
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... Since then, both ferromagnetic and antiferromagnetic behaviors have been found in the crystals of nitronyl nitroxides [13][14][15] . Previous results indicate that the magnetic exchange between neighboring nitronyl nitroxides in the solid state is, to some extent, dependent on the features of the substituent linked to the central carbon atom of the O-N-C-N-O unit of nitronyl nitroxide and the mode of crystal packing [16] . The substituent is aromatic ring in most cases and sometimes alkyl moiety. ...
... Fig.4(G) and (H)] was considered by McConnell as "unlikely", the exchange coupling is antiferromagnetic when the closest contact of spin density between molecules is of the positive-negative type. One example of this case has been found just recently [16] . For case III[ Fig.4(E) and (F)] it is indicated that ferromagnetic coupling should be due to the fact that atoms of positive spin density exchange coupled most strongly to the atoms of negative spin density in neighboring molecules. ...
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... Arrows indicate the total spin of each molecular subunit (symbolized by a square), dark 'orbitals' positive spin density, red 'orbitals'negative spin density, smaller 'orbitals' spin polarization. Adapted from Ref. [13]. The ground state of the system (A + B) cannot be described by a single configuration (left) but is a mixture of this configuration and another one (right). ...
... The explanation is that the molecules are oriented perpendicularly in such a way that the crystallographic symmetry makes the p z -orbitals (the xy-plane is the molecular plane) on the two atoms orthogonal in the quantum chemical sense (overlap = 0). In terms of Fig. 2, the cyano-nitroxide radical 4 is a highly unusual example of a case IV antiferromagnetic coupling [13]. ...
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