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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

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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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