Write the complex hydrogen atom wave functions, 2p-1, 2po, and 2p, in terms of the real wave functions 2px, 2py, and 2pz. Step 1 of 3 Use the Real Hydrogen Atom Wave Functions Table to give the real angular wave functions. (Use the following as necessary: P, A, and 0.) V 3 sin (0) cos () 2px = sin (0)cos(@) 3 sin (0)sin(@) | 3 V sin (0) sin (ø) 2py = 3 cos (0 2pz = VE Cos (0) Step 2 of 3 Use the Complex Hydrogen Atom Wave Functions Table to give the complex angular wave functions. (Use the following as necessary: P, 7, and 0.) sin (0)e¯io 3 2p-1 = V 87 - sin (0) e-io cos (0) 3 Cos (0) 2po = sin (0)e 3 V sin (0) c** 2p+1 = 81 Step 3 of 3 Give the complex wave functions from Step 2 in terms of the real wave functions from Step 1. (Recall the Euler relations: etix = cos(x) ± i sin(x). Use the following as necessary: 2px, 2py, and 2pz.) 2p-1= 2po = 2p+1 =

Write the complex hydrogen atom wave functions, 2p-1, 2po, and 2p, in terms of the real wave functions 2px, 2py, and 2pz. Step 1 of 3 Use the Real Hydrogen Atom Wave Functions Table to give the real angular wave functions. (Use the following as necessary: P, A, and 0.) V 3 sin (0) cos () 2px = sin (0)cos(@) 3 sin (0)sin(@) | 3 V sin (0) sin (ø) 2py = 3 cos (0 2pz = VE Cos (0) Step 2 of 3 Use the Complex Hydrogen Atom Wave Functions Table to give the complex angular wave functions. (Use the following as necessary: P, 7, and 0.) sin (0)e¯io 3 2p-1 = V 87 - sin (0) e-io cos (0) 3 Cos (0) 2po = sin (0)e 3 V sin (0) c** 2p+1 = 81 Step 3 of 3 Give the complex wave functions from Step 2 in terms of the real wave functions from Step 1. (Recall the Euler relations: etix = cos(x) ± i sin(x). Use the following as necessary: 2px, 2py, and 2pz.) 2p-1= 2po = 2p+1 =

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter15: Introduction To Electronic Spectroscopy And Structure

Section: Chapter Questions

Problem 15.12E

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