Recall that degeneracy is a count of all the different combinations of quantum numbers in a wavefunction that would result in the same energy. When we first described the hydrogen atom, we described it as a three-dimensional problem, so we said there were three quantum numbers. However, there is a fourth dimension that we just described in this unit, spin. So we've added a fourth quantum number. They are as follows: n, I, mj and mg. Write out all the possible combinations for quantum numbers for the following three scenarios: n = 1, n = 2 and n = 3. Count up all the possible combinations for each scenario and use the result to determine a general formula for the degeneracy. The general formula for degeneracy is. O 2n2 n2 O 2n+1 O n-1 O O O

Recall that degeneracy is a count of all the different combinations of quantum numbers in a wavefunction that would result in the same energy. When we first described the hydrogen atom, we described it as a three-dimensional problem, so we said there were three quantum numbers. However, there is a fourth dimension that we just described in this unit, spin. So we've added a fourth quantum number. They are as follows: n, I, mj and mg. Write out all the possible combinations for quantum numbers for the following three scenarios: n = 1, n = 2 and n = 3. Count up all the possible combinations for each scenario and use the result to determine a general formula for the degeneracy. The general formula for degeneracy is. O 2n2 n2 O 2n+1 O n-1 O O O

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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