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High accuracy non-relativistic quantum chemical calculations of the ground state energies and wavefunctions of symmetric three-particle Coulomb systems of the form $\{ {m_1^ \pm m_2^ \pm m_3^ \mp }\}$, m1 = m2, are calculated using an efficient and effective series solution method in a triple orthogonal Laguerre basis set. These energies are used to determine an accurate lower bound to the stability zone of unit-charge three-particle Coulomb systems using an expression for the width of the stability band in terms of g, the fractional additional binding due to a third particle. The results are presented in the form of a reciprocal mass fraction ternary diagram and the energies used to derive a parameterised function g(a3), where $a_3 = m_3^{ - 1} /(m_1^{ - 1} + m_2^{ - 1} + m_3^{ - 1})$ is the reciprocal mass of the uniquely charged particle. It is found that the function is not minimal at a3 = 0 which corresponds to ∞H− nor is it minimal at the positronium negative ion (Ps−) the system with the least absolute energetic gain by association with a third particle; the function g(a3) is minimal at m1/m3 = 0.49, and a possible physical interpretation in terms of the transition from atomic-like to molecular-like is provided.
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There is an Open Access version for this licensed article that can be read free of charge and without license restrictions. The content of the Open Access version may differ from that of the licensed version.