9. (McQuarrie E-9) that the following three so-called spherical harmonics functions are orthonor-mal when integrated over all 0 and (i.e. ignore the radial part r here).1/23Y₁(0,0) =3cos4πY₁₁(0, 0) =1/2eid sin8πT1/23Y₁¯¹ (0, 0) =esin8πT

Step 1: Step 2: Step 3: Step 4:

Answered: 9. (McQuarrie E-9) that the following…

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter12: Atoms And Molecules

Section: Chapter Questions

Problem 12.41E

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9. (McQuarrie E-9) that the following three so-called spherical harmonics functions are orthonor- mal when integrated over all 0 and (i.e. ignore the radial part r here). 1/2 3 Y₁(0,0) = 3 cos 4π Y₁₁(0, 0) = 1/2 eid sin 8πT 1/2 3 Y₁¯¹ (0, 0) = e sin 8πT