The three-electron wavefunction for the configuration 1s² 2s¹ is properly written with the following determinant: 1sa(1) 1sẞ(1) 2sa(1) 1 = 1sa(2) 1sẞ(2) 2sa(2) √3! 1sa(3) 1sẞ(3) 2sa(3) Write out the linear combination that this represents, and verify that the wavefunction is antisymmetric with respect to electron exchange. Next, verify that the 1s orbital can not hold a third electron - you can do this by changing the 2sa label in the determinant to 1sa, expanding the determinant, and evaluating the result.

The three-electron wavefunction for the configuration 1s² 2s¹ is properly written with the following determinant: 1sa(1) 1sẞ(1) 2sa(1) 1 = 1sa(2) 1sẞ(2) 2sa(2) √3! 1sa(3) 1sẞ(3) 2sa(3) Write out the linear combination that this represents, and verify that the wavefunction is antisymmetric with respect to electron exchange. Next, verify that the 1s orbital can not hold a third electron - you can do this by changing the 2sa label in the determinant to 1sa, expanding the determinant, and evaluating the result.

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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Find the value of x
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2+ d. 4H3O+ (aq) + 2Cl(aq) + MnO₂ (s) ⇒ Mn²+ (aq) + 6H₂O(1) + Cl₂ (9) Oke O Ke = = O Ke = 2+ [Mn²+ ][C1₂] [H3O+] * [CI-1² [Mn²+][H₂O][C1₂] 2+ [H³O+][CI¯]²[MnO₂2] [Mn²+ ] [H₂O1] [C1₂] 2+ [H3O+] * [CI-1²[MnO₂]
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HNO3 е. Show Hint