
Concept explainers
(a)
Interpretation:
The correct
Concept introduction:
Quantum numbers are a set of four numbers that gives complete information about an electron within an atom. Out of the four, the three quantum numbers that define the shape, size, and orientation of an orbital are the principal quantum number, the orbital
The formula to calculate the highest possible value of angular momentum quantum number
(a)

Answer to Problem 7.72P
The
Explanation of Solution
The principal quantum number is denoted by
For a given value of
Substitute 3 for
Therefore, the only possible values of
For a given value of
Therefore for
For
For
The value
The
(b)
Interpretation:
The correct
Concept introduction:
Quantum numbers are a set of four numbers that gives complete information about an electron within an atom. Out of the four, the three quantum numbers that define the shape, size, and orientation of an orbital are the principal quantum number, the orbital angular momentum quantum number, and the magnetic quantum number.
The formula to determine the total number of orbitals is,
(b)

Answer to Problem 7.72P
The
Explanation of Solution
The principal quantum number is denoted by
For a given value of
Substitute 3 for
Therefore, the only possible values of
For a given value of
Therefore for
For
For
The value
The
(c)
Interpretation:
The correct
Concept introduction:
Quantum numbers are a set of four numbers that gives complete information about an electron within an atom. Out of the four, the three quantum numbers that define the shape, size, and orientation of an orbital are the principal quantum number, the orbital angular momentum quantum number, and the magnetic quantum number.
The formula to determine the total number of orbitals is,
(c)

Answer to Problem 7.72P
The
Explanation of Solution
The principal quantum number is denoted by
For a given value of
Substitute 7 for
Therefore, the only possible values of
For a given value of
Therefore for
For
For
For
For
For
For
The value
The
(d)
Interpretation:
The correct
Concept introduction:
Quantum numbers are a set of four numbers that gives complete information about an electron within an atom. Out of the four, the three quantum numbers that define the shape, size, and orientation of an orbital are the principal quantum number, the orbital angular momentum quantum number, and the magnetic quantum number.
The formula to determine the total number of orbitals is,
(d)

Answer to Problem 7.72P
The
Explanation of Solution
The principal quantum number is denoted by
For a given value of
Substitute 4 for
Therefore, the only possible values of
For a given value of
For
For
For
The value
The
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Chapter 7 Solutions
Chemistry: The Molecular Nature of Matter and Change - Standalone book
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