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Useful Constants 1.055 × 10-34 h. Js 6.626 × 10-34 9.109 x 10-31 1.602 x 10-1D 8.854 x 10-12 Js me kg C*Jm- Problem 1 Given that L=nh for Bohr's quantization condition for circular orbits and that the effective potential is defined to be

Useful Constants 1.055 × 10-34 h. Js 6.626 × 10-34 9.109 x 10-31 1.602 x 10-1D 8.854 x 10-12 Js me kg C*Jm- Problem 1 Given that L=nh for Bohr's quantization condition for circular orbits and that the effective potential is defined to be

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 17P: In a FranckHertz experiment on sodium atoms, the first excitation threshold occurs at 2.103 eV....
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Useful Constants 1.055 x 10-34 6.626 x 10-34 9.109 x 10-3I 1.602 x 10-T9 8.854 x 10-12 CJ-'m-T Js h. Js kg €0 Problem 1 Given that L= nh for Bohr's quantization condition for circular orbits and that the effective potential is defined to be L2 Va(r) = 2mr2 construct an expression that describes the energy of the nth level and show that the difference between any two energy levels (ni, ng for initial and final) is given by 1 AE = R 1 with R = 32m²c3n² ° Plug in the constants given in the table above to show that R is indeed equal to the expected Rydberg constant. Hint: follow the derivation in the notes for the radius of the circular orbit first, and then use the radius to get the energy levels.
Transcribed Image Text:Useful Constants 1.055 x 10-34 6.626 x 10-34 9.109 x 10-3I 1.602 x 10-T9 8.854 x 10-12 CJ-'m-T Js h. Js kg €0 Problem 1 Given that L= nh for Bohr's quantization condition for circular orbits and that the effective potential is defined to be L2 Va(r) = 2mr2 construct an expression that describes the energy of the nth level and show that the difference between any two energy levels (ni, ng for initial and final) is given by 1 AE = R 1 with R = 32m²c3n² ° Plug in the constants given in the table above to show that R is indeed equal to the expected Rydberg constant. Hint: follow the derivation in the notes for the radius of the circular orbit first, and then use the radius to get the energy levels.
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