The behavior and location of electrons in an atom are described by four quantum numbers. Each number provides specific information about the orbital.
1. Principal Quantum Number ($n$):
Indicates the main energy level or shell and determines the size of the orbital.
2. Azimuthal (Subsidiary) Quantum Number ($l$):
This is the quantum number asked for in the question. It describes the
shape of the orbital and defines the subshell (s, p, d, f).
• $l = 0$: s-orbital (spherical)
• $l = 1$: p-orbital (dumb-bell)
• $l = 2$: d-orbital (double dumb-bell)
3. Magnetic Quantum Number ($m$ or $m_l$):
Describes the orientation of the orbital in three-dimensional space.
4. Spin Quantum Number ($m_s$):
Describes the direction of electron spin (clockwise or anti-clockwise).
Therefore, the symbol $l$ represents the quantum number describing the orbital's shape.