15.2. Explain in your own words why electronic transitions are considered dipole-moment allowed.

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
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Answer of ques 15.2 given in image
15.1. Linearly polarized light can be assigned a specific irre-
ducible representation of a symmetry point group. If the
electronic ground state of benzene has A1g symmetry and
label(s) of allowed excited electronic states? Use the Doh char-
y-polarized light has the label E1u, what are the symmetry
Selection Rules
15.2
15.5
15.12.
(b) Al, C
15.13.
half-filled
acter table in Appendix 3.
symbol.
from the
15.2. Explain in your own words why electronic transitions
are considered dipole-moment allowed.
the elec
15.14.
15.3 The Hydrogen Atom
25 2p
ergy val
15.3. Determine the value of R for deuterium (?H) and tritium
(H) using equation 15.3. You will have to look up the masses
of the D and T nuclei. By what percentage do these R values
differ from that for hydrogen?
15.15.
state te
electrom
15.16.
15.4. Harold Urey discovered deuterium in 1931 by very care-
fully evaporating four liters of liquid hydrogen down to a sin-
gle milliliter and measuring the electronic spectrum. New lines
in the atomic spectrum confirmed the presence of "heavy
hydrogen" right where quantum theory predicted. Calculate
the expected positions of the four visible lines of the Balmer
series for deuterium atoms. (See Chapter 9 for the details on
the Balmer series for H atoms.)
states
15.17
the san
ground
cited
havinc
atom
what
15.5. Draw a Grotrian-type diagram for the first four lines of
the Lyman series in the hydrogen atom spectrum. Be sure to
include all allowed transitions.
15.18
grour
bols f
15.6. What is the value of the change in energy, AE, for the
(n, €) transition of the hydrogen atom labeled (3, 2) (3, 1)?
Justify your answer.
15.6
15.1
mole
15.4 Orbital and Spin Angular Momenta
15 7. List the possible values of L, M, S, Ms, J, and M, for the
foliowing: (a) two coupled p eiectrons, (b) two coupled f
electrons, (c) two coupled electrons, one a p electron and one
ad electron. Remember that the z-component quantum num-
bers depend on the values of the total angular momentum
15.2
labe
15.
tern
bly
quantum numbers.
15.
15.8. A proton also has spin of . What are the possible val-
ues of Ms for a hydrogen nucleus? A deuterium nucleus has a
nuclear spin (labeled with the letter /) of 1. Does it have the
same values of Ms?
а с
pai
ele
sta
15.9. Low-energy electronic spectra of Al atoms, under high
DO REDMI NOTE 8 PRO
oluti
CO AI QUAD CAMERA
15
as multiplets. Suggest a reason fo: this.
ac
15.10. What are the possible observable values of orbital and
ge
Transcribed Image Text:15.1. Linearly polarized light can be assigned a specific irre- ducible representation of a symmetry point group. If the electronic ground state of benzene has A1g symmetry and label(s) of allowed excited electronic states? Use the Doh char- y-polarized light has the label E1u, what are the symmetry Selection Rules 15.2 15.5 15.12. (b) Al, C 15.13. half-filled acter table in Appendix 3. symbol. from the 15.2. Explain in your own words why electronic transitions are considered dipole-moment allowed. the elec 15.14. 15.3 The Hydrogen Atom 25 2p ergy val 15.3. Determine the value of R for deuterium (?H) and tritium (H) using equation 15.3. You will have to look up the masses of the D and T nuclei. By what percentage do these R values differ from that for hydrogen? 15.15. state te electrom 15.16. 15.4. Harold Urey discovered deuterium in 1931 by very care- fully evaporating four liters of liquid hydrogen down to a sin- gle milliliter and measuring the electronic spectrum. New lines in the atomic spectrum confirmed the presence of "heavy hydrogen" right where quantum theory predicted. Calculate the expected positions of the four visible lines of the Balmer series for deuterium atoms. (See Chapter 9 for the details on the Balmer series for H atoms.) states 15.17 the san ground cited havinc atom what 15.5. Draw a Grotrian-type diagram for the first four lines of the Lyman series in the hydrogen atom spectrum. Be sure to include all allowed transitions. 15.18 grour bols f 15.6. What is the value of the change in energy, AE, for the (n, €) transition of the hydrogen atom labeled (3, 2) (3, 1)? Justify your answer. 15.6 15.1 mole 15.4 Orbital and Spin Angular Momenta 15 7. List the possible values of L, M, S, Ms, J, and M, for the foliowing: (a) two coupled p eiectrons, (b) two coupled f electrons, (c) two coupled electrons, one a p electron and one ad electron. Remember that the z-component quantum num- bers depend on the values of the total angular momentum 15.2 labe 15. tern bly quantum numbers. 15. 15.8. A proton also has spin of . What are the possible val- ues of Ms for a hydrogen nucleus? A deuterium nucleus has a nuclear spin (labeled with the letter /) of 1. Does it have the same values of Ms? а с pai ele sta 15.9. Low-energy electronic spectra of Al atoms, under high DO REDMI NOTE 8 PRO oluti CO AI QUAD CAMERA 15 as multiplets. Suggest a reason fo: this. ac 15.10. What are the possible observable values of orbital and ge
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