-Quantum Numbers
Test Study Guide: -Molecular Orbitals
-Hybridization
Ch.3 Bonding -And More
CONCEPT SUMMARY
Summary of Atomic Orbitals and Quantum Numbers
Quantum Numbers Overview
Quantum numbers are essential for describing atomic orbitals, detailing their size, shape, orientation, and
quantity.
Principal Quantum Number (n)
The principal quantum number (n) indicates the energy level or shell of an electron.
It reflects the distance from the nucleus to the electron.
Possible values for n range from 1 to infinity (∞).
Azimuthal Quantum Number (l)
The azimuthal quantum number (l) specifies the subshell in which an electron is located.
Its values range from 0 to (n - 1).
Subshells are denoted by letters:
a. l = 0 corresponds to s
b. l = 1 corresponds to p
c. l = 2 corresponds to d
d. l = 3 corresponds to f
Key Points in Quantum Mechanics
1. Magnetic Quantum Number (m)
Determines the specific orbital an electron occupies.
Possible values range from -l to +l, where l is the azimuthal quantum number.
Different orbitals have distinct shapes:
a. s-orbitals: Spherical shape.
b. p-orbitals: Dumbbell-shaped and oriented along the x-, y-, or z-axis.
2. Spin Quantum Number (m)
Represents the intrinsic spin of an electron.
Possible values are +1/2 or -1/2.
3. Molecular Orbitals
Bonding Orbitals:
a. Formed by head-to-head or tail-to-tail overlap of atomic orbitals with the same sign.