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Concept explainers
(a)
The transition 4p→3p is allowed or forbidden.
(a)
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Answer to Problem 28P
The answer is forbidden.
Explanation of Solution
Given info: Transition: 4p→3p
Formula used:
The principal quantum number n can take on any integer value (1,2,3,...) and also, corresponds to the quantum number of the old Bohr Theory.
The orbital quantum number l can take on values from 0 to n-1 .
Calculation:
In allowed and forbidden transitions only a fraction of all possible transition are observed. Allowed transitions are of high probability, high intensity, and electric dipole interaction whereas, forbidden transitions are of low probability, weak intensity, non-electric dipole interaction.
So, 4p→3p transition is forbidden because Δl≠±1
(b)
The transition 2p→1s is allowed or forbidden.
(b)
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Answer to Problem 28P
The answer is allowed.
Explanation of Solution
Given info: Transition: 2p→1s
Formula used:
The principal quantum number n can take on any integer value (1,2,3,...) and also, corresponds to the quantum number of the old Bohr Theory.
The orbital quantum number l can take on values from 0 to n-1 .
Calculation:
In allowed and forbidden transitions only a fraction of all possible transition are observed. Allowed transitions are of high probability, high intensity, and electric dipole interaction whereas, forbidden transitions are of low probability, weak intensity, non-electric dipole interaction.
So, 2p→1s transition is allowed because Δl=−1
(c)
The transition 3d→2d is allowed or forbidden.
(c)
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Answer to Problem 28P
The answer is forbidden.
Explanation of Solution
Given info: Transition: 3d→2d
Formula used:
The principal quantum number n can take on any integer value (1,2,3,...) and also, corresponds to the quantum number of the old Bohr Theory.
The orbital quantum number l can take on values from 0 to n-1 .
Calculation:
In allowed and forbidden transitions only a fraction of all possible transition are observed. Allowed transitions are of high probability, high intensity, and electric dipole interaction whereas, forbidden transitions are of low probability, weak intensity, non-electric dipole interaction.
So, 3d→2d transition is forbidden because Δl≠±1
(d)
The transition 4d→3s is allowed or forbidden.
(d)
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Answer to Problem 28P
The answer is forbidden.
Explanation of Solution
Given info: Transition: 4d→3s
Formula used:
The principal quantum number n can take on any integer value (1,2,3,...) and also, corresponds to the quantum number of the old Bohr Theory.
The orbital quantum number l can take on values from 0 to n-1 .
Calculation:
In allowed and forbidden transitions only a fraction of all possible transition are observed. Allowed transitions are of high probability, high intensity, and electric dipole interaction whereas, forbidden transitions are of low probability, weak intensity, non-electric dipole interaction.
So, 4d→3s transition is forbidden because Δl≠±1
(e)
The transition 4s→3p is allowed or forbidden.
(e)
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Answer to Problem 28P
The answer is allowed.
Explanation of Solution
Given info: Transition: 4s→3p
Formula used:
The principal quantum number n can take on any integer value (1,2,3,...) and also, corresponds to the quantum number of the old Bohr Theory.
The orbital quantum number l can take on values from 0 to n-1 .
Calculation:
In allowed and forbidden transitions only a fraction of all possible transition are observed. Allowed transitions are of high probability, high intensity, and electric dipole interaction whereas, forbidden transitions are of low probability, weak intensity, non-electric dipole interaction.
So, 4s→3p transition is allowed because Δl=−1
Chapter 28 Solutions
Physics: Principles with Applications
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