A computational investigation is carried out on a calix[4]arene based tetraradical and a similar hexaradical with and without bis(biphenylene)-methyl substituent(s). The dimeric forms of these radicals are studied with aromatic groups replaced by hydrogen atoms. We use the B3LYP/6-31G(d,p) scheme for optimization and the 6-311G(d,p) basis set for single point calculations on high-spin and broken-symmetry solutions. Magnetic exchange coupling constants (J) relevant to both Heisenberg exchange Hamiltonian and Heisenberg−Dirac−van Vleck (HDVV) Hamiltonian are calculated for the tetraradical, hexaradical, and their substituted forms. There is strong coupling between the radical sites within the macrocycles, and relatively weak coupling between the macrocycles and linker(s). Thus, the bis(biphenylene)methyl link can be efficiently used for ferromagnetic and ferrimagnetic coupling between different units of macrocycles in the dimers and further extended systems. Indeed we find that the Heisenberg coupling constants in the dimers are fairly large to ferromagnetically couple the macrocycles, yet sufficiently small to produce a ferrimagnetically coupled linkage. These couplings were originally contended by Rajca. The zero-field splitting parameters for the precursors are more or less in agreement with observed values, which suggest that the nonassociated tetraradical can behave like a weak single-molecular magnet. Our calculations strongly support the polymer of tetraradical to be a spin glass and that of hexaradical to be a superparamagnetic nanoparticle.
■ INTRODUCTIONOrganic molecules with very large spin S can be used in the formation of magnetically ordered polymers. 1−3 The process requires the coupling of different monomer units (radical centers) via bonds with strong magnetic exchange interaction, 4−6 which produces polyradicals with enhanced spin. 7−11 The magnetic exchange coupling between unpaired π-electrons of organic polyradicals via a bridging fragment is expected to be stronger than the through-space spin-dipolar interaction of radicals in a molecular solid. 6 Polyradicals are known to retain magnetic ordering at or above room temperature. 6 Thus, it is only natural that there has been a lot of interest generated in the recent past on the molecular design of organic polyradicals with magnetic ordering. 12−21 Chemical instability and structural defects may occur during the process of synthesis. These factors often lead to weakly coupled and smaller polyradicals. 22 This is why an actual synthesis of a high-spin organic polymeric radical often turns out to be quite difficult. These two difficulties were carefully circumvented by Rajca and his co-workers by designing polymers with "multiple coupling channels between the radical centers." 1−3 These authors synthesized a series of polyradicals with large spin quantum numbers, using bis-(biphenylene)methyl as a linker to connect calix[4]arene macrocycles. 1 A strong molecular magnet needs a repeating unit of high-spin, that is, with more than one unpaired electr...