Atomic units of length and energy may be based on the properties of a particular atom

Chapter 10, Problem 10.20

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Atomic units of length and energy may be based on the properties of a particular atom. The usual choice is that of a hydrogen atom, with the unit of length being the Bohr radius, a0, and the unit of energy being the (negative of the) energy of the 1s orbital. If the positronium atom (e+,e) were used instead, with analogous definitions of units of length and energy, what would be the relation between these two sets of atomic units?

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