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One of the most famous of the obsolete theories of the hydrogen atom was proposed by Niels Bohr. It has been replaced by quantum mechanics, but by a remarkable coincidence (not the only one where the Coulomb potential is concerned), the energies it predicts agree exactly with those obtained from the Schrödinger equation. In the Bohr atom, an electron travels in a circle around the nucleus. The Coulombic force of attraction (Ze2/4πε0r2) is balanced by the centrifugal effect of the orbital motion. Bohr proposed that the angular momentum is limited to integral values of ħ. When the two forces are balanced, the atom remains in a stationary state until it makes a spectral transition. Calculate the energies of a hydrogenic atom using the Bohr model.

One of the most famous of the obsolete theories of the hydrogen atom was proposed by Niels Bohr. It has been replaced by quantum mechanics, but by a remarkable coincidence (not the only one where the Coulomb potential is concerned), the energies it predicts agree exactly with those obtained from the Schrödinger equation. In the Bohr atom, an electron travels in a circle around the nucleus. The Coulombic force of attraction (Ze2/4πε0r2) is balanced by the centrifugal effect of the orbital motion. Bohr proposed that the angular momentum is limited to integral values of ħ. When the two forces are balanced, the atom remains in a stationary state until it makes a spectral transition. Calculate the energies of a hydrogenic atom using the Bohr model.

Introductory Chemistry: An Active Learning Approach
Introductory Chemistry: An Active Learning Approach
6th Edition
ISBN:9781305079250
Author:Mark S. Cracolice, Ed Peters
Publisher:Mark S. Cracolice, Ed Peters
Chapter11: Atomic Theory :the Quantum Model Of The Atom
Section: Chapter Questions
Problem 103E
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One of the most famous of the obsolete theories of the hydrogen atom was proposed by Niels Bohr. It has been replaced by quantum mechanics, but by a remarkable coincidence (not the only one where the Coulomb potential is concerned), the energies it predicts agree exactly with those obtained from the Schrödinger equation. In the Bohr atom, an electron travels in a circle around the nucleus. The Coulombic force of attraction (Ze2/4πε0r2) is balanced by the centrifugal effect of the orbital motion. Bohr proposed that the angular momentum is limited to integral values of ħ. When the two forces are balanced, the atom remains in a stationary state until it makes a spectral transition. Calculate the energies of a hydrogenic atom using the Bohr model.

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