Electronic structure of [Ga2(tren)2(CAsq,cat)](BPh4)2(BF4): An EPR,ENDOR, and density functional study

The bimetallic M₁M₂(tren)₂(CA^n?)]^m+ series, where M = Ga^III or Cr^III and CA is the chloranilate ligand which can take on diamagnetic (CA^cat,cat)^4? or paramagnetic (CA^sq,cat)^3? forms, comprises an electronically diverse series of compounds ranging from the closed-shell Ga₂(tren)₂(CA^cat,cat)]²⁺ to the S = 5/2 ground state of Cr₂(tren)₂(CA^sq,cat)]³⁺. This report deals with the interpretation of the EPR and ENDOR spectra of Ga₂(tren)₂(CA^sq,cat)](BPh₄)₂(BF₄) (2) and the related derivative Ga₂(tren)₂(DHBQ)](BPh₄)₂(BF₄) (2a) (where DHBQ is the fully deprotonated trianionic form of 2,5-dihydroxy-1,4-benzoquinone) in an effort to further characterize the electronic structure of this radical species. The X-band (～9.5 GHz) EPR spectrum of complex 2 acquired in a butyronitrile/propionitrile glass at 4 K reveals a rhombic g-tensor with g_xx = 2.0100, g_yy = 2.0097, and g_zz = 2.0060 with hyperfine interactions due to spin delocalization onto the two Ga nuclei (a_xx = 4.902 G, a_yy = 4.124 G, a_zz = 3.167 G); the origin of the hyperfine coupling was confirmed by analysis of the room temperature spectra of complexes 2 and 2a. The low-temperature spectrum of complex 2 also indicates the presence of a triplet electronic state characterized by a g-value of 2.009 and axial zero-field splitting of D = 150 G (0.012 cm^?1) as determined from measurements carried out at both X- and W-band (～95 GHz) frequencies. This triplet state is believed to arise due to a weak intermolecular Heisenberg exchange interaction between two aggregating complexes. ENDOR measurements on complex 2a at 20 K allowed for a determination of the magnitude of hyperfine coupling to the protons associated with the radical bridge as well as providing a rare example of an ENDOR signal arising from coupling to a gallium nucleus. Finally, these results were combined with literature data on the free semiquinone form of the bridging ligand in order to assess the extent to which density functional theory can predict unpaired spin density distribution in a complex molecule of this type. Although differences between theory and experiment were noted, DFT was able to provide a reasonably accurate picture of the electronic structure of this system as well as provide insight into the spin polarization mechanism(s) responsible for the observed hyperfine interactions.