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Conical intersections in C,, C?,, and linear configurations for the 'A' states of the H2C1+ molecule are investigated with the help of a 10 x 10 model Hamiltonian matrix in a valence-bond basis. The line of intersection (linen) between states 2 and 3 is traced from one end point, an intersection between two states of 'B2 symmetry in a CZv configuration, to the other end point, an intersection between two 'C+ states in a linear H-H-CI configuration. The linea consists of 5 branches having symmetries C,y, C,,, C,,,, C1,, and C,. A litzea between states 3 and 4 starting at a crossing of 'C+ and 'n states in a linear C, , configuration consists of three branches (C,r, C2", CI) leading to the asymptotic region CI + HL The starting point of linea 314 is connected to the asymptotic region H + HCI via a linen in the linear configuration. Linene of C, symmetry could be found by examining the eigenvalues of the Hessian matrix of second derivatives along a line of intersection in a higher symmetry (C2" or linear), a useful method for locating accidental intersections that lends itself readily to nD initio calculations. The existence of the litleae could be related to physical properties of the molecule, such as the dipole moment, indicating that the model Hamiltonian does reflect the true physical behaviour.PHILIP

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