Solved Questions on Quantum Numbers
Questions 1: Find all four quantum numbers of the last electron of the Rubidium.
Solution:
Rubidium has the atomic number, Z = 37.
Electronic Configuration of Rubidium,
1s2 2s2 2p6 3s2 3p6 3d10 4s2 4p6 5s1
Valence last shell electron is 5s1
Therefore,
Principal Quantum Number, n = 5,
Azimuthal Quantum Number, l = 0,
Magnetic Quantum Number, ml = 0,
Spin Quantum Number, s = +1/2
Questions 2: State the possible values of the magnetic quantum number for l = 2.
Solution:
Given that, the Azimuthal Quantum Number, l = 2
We know that,
ml = – l to + l
Therefore,
ml = -2 to +2
i.e.
m2 = -2, -1, 0, +1, +2
Questions 3: Find all four quantum numbers of the last electron of the Sodium.
Solution:
Sodium has the atomic number, Z = 11.
Electronic Configuration of Rubidium,
1s2 2s2 2p6 3s1
Valence shell last electron is 3s1
Therefore,
Principal Quantum Number, n = 3,
Azimuthal Quantum Number, l = 0,
Magnetic Quantum Number, ml = 0,
Spin Quantum Number, s = +1/2
Questions 4: State the possible values of the magnetic quantum number for l = 3.
Solution:
Given that, the Azimuthal Quantum Number, l = 3
We know that,
for l = 3,
ml = – 3 to + 3
i.e.
m = -3, -2, -1, 0, +1, +2 +3
Quantum Numbers
Quantum numbers in Chemistry, are the sets of numbers that describe an electron’s orbit and movement within an atom. When the quantum numbers of all the electrons in a given atom are added together, they must satisfy the Schrodinger equation.
Quantum numbers are the set of numbers used to describe the position and energy of an electron in an atom. There are four types of quantum numbers: principal, azimuthal, magnetic, and spin. Quantum numbers represent the values of a quantum system’s conserved quantities.
Let’s learn about all the quantum numbers in detail in this article.
Table of Content
- What are Quantum Numbers?
- Types of Quantum Numbers
- Significance of Quantum Numbers
- Atomic Orbital
- Other Laws Related to the Position and Path of Electrons