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 ‘hartree’, Eh, which is equal to twice the (negative of the) energy of the 1s orbital (specifically, and more precisely, Eh = 2hcR᷉∞). Positronium consists of an electron and a positron (same mass, opposite charge) orbiting round their common centre of mass. 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?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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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 ‘hartree’, Eh, which is equal to twice the (negative of the) energy of the 1s orbital (specifically, and more precisely, Eh = 2hcR᷉). Positronium consists of an electron and a positron (same mass, opposite charge) orbiting round their common centre of mass. 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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