The total energy of an electron E_n = -frac{Z | vedclass

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(A) The expression for the total energy of an electron $E_n = -\frac{Z^2me^4}{8\epsilon_0^2n^2h^2}$ is derived based on Bohr's hypothesis of circular

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Bohr's hypothesis of circular orbits

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(A) The expression for the total energy of an electron $E_n = -\frac{Z^2me^4}{8\epsilon_0^2n^2h^2}$ is derived based on Bohr's hypothesis of circular orbits.In this model,the electron is assumed to move in circular orbits around the nucleus under the influence of the electrostatic force.Physicist Sommerfeld later extended this model to include elliptical orbits. He demonstrated that when the restriction of circular orbits is relaxed,the energy expression remains valid for elliptical orbits as well,provided the central force is an inverse-square force.

The total energy of an electron $E_n = -\frac{Z^2me^4}{8\epsilon_0^2n^2h^2}$ in an atom is based on which hypothesis? Under what condition is this formula true?

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