Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter5: Electrons In The Atom
Section: Chapter Questions
Problem 84A
Related questions
Question
n=4 l=1
n=2 l=2
n=3 l=2
n=5 l=1 ml=-1
Find the maximum number of orbitals for each
Expert Solution
Step 1
Quantum numbers are the set of numbers used to define the position and energy of the electron in an atom.
The four quantum numbers are:
- Principle quantum number (n)
- Angular momentum (ℓ)
- Magnetic quantum number (mℓ)
- Spin quantum number (ms
).
The number of orbitals for the given values of the quantum numbers has to be determined.
Step 2
The number of orbitals within a subshell is determined by the magnetic quantum number,mℓ.
Consequently, the value of mℓ depends on the orbital angular momentum quantum number l.
For n=4 l=1:
mℓ =-1, 0, +1
So, the maximum number of orbitals=3 (p-subshell)
For n=2 l=2:
mℓ =-2,-1, 0, +1, +2
So, the maximum number of orbitals=5 (d subshell)
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