Quantum Numbers & Orbital Degeneracy Calculator
Allowed quantum numbers, subshell label, degeneracy and angular momentum for an electron orbital.
How to use the Quantum Numbers & Orbital Degeneracy Calculator
- Enter or select: Principal quantum number n, Orbital quantum number ℓ.
- The results (Subshell, Allowed ℓ values for n, Allowed mℓ values, Subshell capacity (electrons), Shell capacity 2n², |L| = √(ℓ(ℓ+1)) in ħ, Smallest angle of L to z-axis, Hydrogen energy level) are calculated instantly as you type.
- Use “Copy link” to share the calculation with the same input values.
Formula
- ℓ = 0 … n − 1
- mℓ = −ℓ … +ℓ
- capacity = 2(2ℓ + 1)
- shell capacity = 2n²