c) Consider the semi-classical model for a two-electron atom illustrated in the diagram below. This model attempts to extend the Bohr model to a two-electron system by assuming both electrons follow a circular orbit around the nucleus while remaining diametrically opposite to each other. electron nucleus electron (i) Carefully explain why, for the ground state of helium, this semi-classical model predicts that both electrons would experience an effective nuclear charge Zeff (ii) Assuming that each electron's angular momentum is quantized in the same manner as the usual Bohr model for single-electron atoms, calculate the total binding energy of the ground state of helium according to this semi classical model.

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(c) Consider the semi-classical model for a two-electron atom illustrated in the diagram below.
This model attempts to extend the Bohr model to a two-electron system by assuming both
electrons follow a circular orbit around the nucleus while remaining diametrically opposite
to each other.
electron
nucleus,
electron
(i) Carefully explain why, for the ground state of helium, this semi-classical model
predicts that both electrons would experience an effective nuclear charge Zeff
%3D
(ii) Assuming that each electron's angular momentum is quantized in the same manner
as the usual Bohr model for single-electron atoms, calculate the total binding energy
of the ground state of helium according to this semi classical model.
Transcribed Image Text:(c) Consider the semi-classical model for a two-electron atom illustrated in the diagram below. This model attempts to extend the Bohr model to a two-electron system by assuming both electrons follow a circular orbit around the nucleus while remaining diametrically opposite to each other. electron nucleus, electron (i) Carefully explain why, for the ground state of helium, this semi-classical model predicts that both electrons would experience an effective nuclear charge Zeff %3D (ii) Assuming that each electron's angular momentum is quantized in the same manner as the usual Bohr model for single-electron atoms, calculate the total binding energy of the ground state of helium according to this semi classical model.
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