[en] To interpret and predict the unusual chemical and physical properties of the C₆₀ and related fullerenes, fullerites, and molecular/solid state derivatives, the author started with the graphite force field (GraFF) developed for sp² carbon centers (based on fitting experimental lattice parameters, elastic constants, phonon frequencies for graphite and alkali-intercalated graphite), and successfully predicted vibrational frequencies, fullerite and alkali-doped fullerite crystal structure, density, heat of sublimation, and compressibility, etc., for C₆₀, C₇₀ and their derivatives. He developed a highly accurate force field for C₆₀ in agreement with all 14 experimental frequencies within abs error 3.0 cm^-1. He develops the GVB superexchange CI (GVB-X-CI) method to study the superexchange coupling interaction of high-T_c materials. The J_dd can be calculated from the first principle at about the same accuracy as experiment. The results indicate the superconductivity in Cu-O plane of these cuprates arise from a essentially magnetically induced interaction, that is, (i) all Cu have a Cu^II d⁹ oxidation state with one unpaired spin that is coupled antiferromagnetically to the spins of adjacent Cu^II sites; (ii) reduction below the cupric Cu^II state leads to Cu^I d¹⁰ sites with a highly mobile Cu(3d) electron, and these extra electrons hop from site to site. The hopping of these extra electrons causes the flipping of the local spin moment of the antiferromagnetic background; (iii) oxidation beyond the cupric Cu^II state leads not to Cu^III but to oxidized oxygen atoms with an highly mobile Op hole, which is ferromagnetically coupled to the adjacent Cu^II d electrons despite the fact that this is opposed by the direct dd exchange. This coupling induces an attractive interaction between conduction electrons that is responsible for the superconductivity