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Using the adiabatic approximation and adiabatic variational approximation with an effective potential, the totalenergies and the equilibrium inteuclear separations of H2+ ion in states σg, πu, δg, φu, γg, ηu in strong magnetic fieldshave been calculated. Our results reproduced those obtained by Vincke and Baye (Vincke M and Baye D 1985 J. Phys.B: At. Mol. Phys. 18 167), which are considered the most reliable. We found a basic function with better convergencethan the Landau functions.