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 =

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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Concept explainers

Electronic Transitions and Spectroscopy

The term “electronic” connotes electron, and the term “transition” implies transformation. In a molecule, the electrons move from a lower to a higher energy state due to excitation. The two energy states, the ground state and the excited state are the lowest and the highest energy states, respectively. An energy change is observed with this transition, which depicts the various data related to the molecule.

Photoelectron Spectroscopy

Photoelectron spectroscopy (PES) is a part of experimental chemistry. It is a technique used in laboratories that involves projecting intense beams of radiation on a sample element. In response, the element ejects electrons for which the relative energies are measured.

Question

Write the complex hydrogen atom wave functions, 2p-1, 2po, and 2p1 in terms of the real wave functions 2px, 2py, and 2p7.
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, TT, and 0.)
3
sin (0)cos(9)
3
sin (0) cos (o)
2px =
3
sin (0)sin(9)
3
sin (0) sin ()
V 47
2py
4T
cos(0)
4t
3
Cos (0)
V 47
2pz =
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.)
3
sin (0)e-i9
8T
3
2р-1 %3D
- sin (0) e
-io
V 87
3
2 cos (0)
2po =
V 4T
cos (e)
3
sin (0)e
sin (0) e*
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: e*IX = cos(x) ± i sin(x). Use the following as necessary: 2px, 2py, and 2p,.)
2р-1 %3
2po =
2p+1

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