(a)
Interpretation:
Whether the transition
Concept introduction:
Electronic spectra are formed by the excitation and relaxation process of electrons. The excitation process is due to the transition of an electron from a lower energy level to a higher energy level. The relaxation process is due to the transition of an electron from a higher energy level to a lower energy level.
Answer to Problem 15.8E
The transition
Explanation of Solution
The selection rules are shown below.
Where,
•
•
The change in principal quantum number
The electronic transition is
The azimuthal quantum number for the initial and final energy level is
The magnetic quantum number for the initial and final energy level is
The selection will not allow this transition. Therefore, the transition
The transition
(b)
Interpretation:
Whether the transition
Concept introduction:
Electronic spectra are formed by the excitation and relaxation process of electrons. The excitation process is due to the transition of an electron from a lower energy level to a higher energy level. The relaxation process is due to the transition of an electron from a higher energy level to lower energy level.
Answer to Problem 15.8E
The transition
Explanation of Solution
The selection rules are shown below.
Where,
•
•
The change in principal quantum number
The electronic transition is
The azimuthal quantum number for the initial energy level is
The azimuthal quantum number for the final energy level is
The value of
Where,
•
•
Substitute the values of
The value of
The magnetic quantum number for the initial and final energy level is
The value of
The selection will allow this transition. Therefore, the transition
The transition
(c)
Interpretation:
Whether the transition
Concept introduction:
Electronic spectra are formed by the excitation and relaxation process of electrons. The excitation process is due to the transition of an electron from a lower energy level to a higher energy level. The relaxation process is due to the transition of an electron from a higher energy level to a lower energy level.
Answer to Problem 15.8E
The transition
Explanation of Solution
The selection rules are shown below.
Where,
•
•
The change in principal quantum number
The electronic transition is
The azimuthal quantum number for the initial energy level is
The azimuthal quantum number for the final energy level is
The value of
Where,
•
•
Substitute the values of
The value of
The magnetic quantum number for the initial energy level is
The magnetic quantum number for the final energy level is
The value of
Where,
•
•
Substitute the values of
The value of
The selection will allow this transition. Therefore, the transition
The transition
(d)
Interpretation:
Whether the transition
Concept introduction:
Electronic spectra are formed by the excitation and relaxation process of electrons. The excitation process is due to the transition of an electron from a lower energy level to a higher energy level. The relaxation process is due to the transition of an electron from a higher energy level to a lower energy level.
Answer to Problem 15.8E
The transition
Explanation of Solution
The selection rules are shown below.
Where,
•
•
The change in principal quantum number
The electronic transition is
The azimuthal quantum number for the initial energy level is
The azimuthal quantum number for the final energy level is
The value of
Where,
•
•
Substitute the values of
The value of
The magnetic quantum number for the initial energy level is
The magnetic quantum number for the final energy level is
The value of
Where,
•
•
Substitute the values of
The value of
The selection will not allow this transition. Therefore, the transition
The transition
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Chapter 15 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
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- The moment of inertia of a CH4 molecule is 5.27 × 10−47 kg m2. What is the minimum energy needed to start it rotating?arrow_forwardAssume that the states of the π electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by μ = −ex. Show that the transition probability for the transition n = 1 → n = 2 is non-zero, whereas that for n = 1 → n = 3 is zero. Hints: The following relation will be useful: sin x sin y = 1/2cos(x − y) − 1/2cos(x + y). Relevant integrals are given in the Resource section.arrow_forward2/ Please explain the answer in detail The J = 0 to j = 1 transition for carbon monoxide (12C160) occurs at 1.153 × 105 MHz. Calculate the value of the bond length in carbon monoxide.arrow_forward
- For the configuration of Magnesium at the excited state [Ne]3s¹3p¹, what term symbols are possible. Arrange the following term symbol in increasing energy.arrow_forwardUse the Tanabe-Sugano diagram to indicate the electronic transitions for the configurations below, i.e. for example, 'A2 →³T2 is one transition for ³F. (a) d³ (b) dºarrow_forwardCalculate the population of the first excited level if the ground state has 1000 molecules at 29K. ( E=4.005 × 10-23J molecule-1 [4325]-201 2 )arrow_forward
- 8. Calculate the moment of inertia and the energy in the J = 1 rotational state for ¹H₂ in which the bond length of ¹H₂ is 74.6 pm. The atomic mass of ¹H is 1.0078 u.arrow_forward: A space probe was designed to seek carbon monoxide in Saturn’s atmosphere by looking for lines in its rotational spectrum. If the bond length of CO is 112.8 pm, at what wavenumbers (in cm-1) do the first three rotational transitions appear? Carbon is almost all carbon-12, so for this part, you can assume it’s all 12C). What resolution would be required to determine the isotropic ratio of 13C to 12C on Saturn by observing the first three 13CO rotational lines as well? (In other words how far apart, in cm-1, are the rotational transitions of 12CO and 13COarrow_forwardThe rotation motion of HCl molecules can be analyzed by treating each molecule as a rigid rotational constant B= 2.07x10^-22 Joules. a) what frequency of radiation will excite the transition from the J=1 energy level to the J=2 level in this case? b) what is the relative probability of observing an HCl molecule at the J=2 energy level, as compared to teh J=1 level, at 25.00 degrees C?arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,