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accuracy anticommutation approximately twenty-five percent Atom Level Energy atomic number atomic radius atomic units basis function cell computed Cornell University correlation effects correlation energy cubic group described determined diagonal element approximation diagonal element corresponding diagonal matrix discrete value eigen eigenfunctions eigenvalue electron atoms energy lattice configuration equation exact Hamiltonian expansion experimental energies expression finite difference Five postulates Fourier transforms g terms given in Table graphical notation graphs ground state energies Hamil Hamiltonian matrix Hartree-Fock calculations infinite cubic lattice Ionization Calc ionization energies large number lattice form lattice parameter Lattice results lattice sites lattice spacing Level Energy Exp ls2p ortho ls2s Matsen minimum energy configurations minimum energy lattice model is based molecular normalization factor orthonormality perturbation phenomenologically present proper symmetry represented scale Scherr Section seven lattice points seven parameters seven point lattice six nearest neighbor spatial interchange spectra term allows tonian Total Calc total energy wave function wavefunction written