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2pir electrons A. L. Sklar ABSORPTION SPECTRUM aihn antisymmetric approximately becomes benzene energy levels benzene functions benzene orbitals benzene rings bihu bracket calculation carbon atom carbon ion Catholic University Chem coefficients complex conjugate computed consider coordinates coplanar Coulomb energy determinant diphenyl exchange integrals Doctor of Philosophy electron in ring electronic energy electronic interaction energy equations evaluated excited given in Eq given in Table Goeppert-Mayer and Sklar ground Hamiltonian IaIb integral is zero integrals involving integrand interaction energy terms internuclear distances irreducible representations levels of benzene linear combinations molecular orbitals neighbors nuclear interaction energy numerical values obtained one-electron orbitals orbitals belonging orthogonal overlap integrals PA.B Phys point group possible potential replaced result rotation set of integrals similar Similarly singlet levels spin function symmetry operations tions turbed ultraviolet ultraviolet absorption University of America vibrational volts wave functions