Total no.of eleectron in a subshell = 2(2l+1)
and l=3 therefore no. of electrons=2(2×3+1) =14

Maximum number of electrons in a subshell with l=3 and n=4

To determine the maximum number of electrons in a subshell, we need to understand the rules governing electron configuration and the filling order of subshells.

1. Electron configuration
Electron configuration describes the distribution of electrons in the various energy levels, subshells, and orbitals of an atom. It follows the Aufbau principle, Pauli exclusion principle, and Hund's rule.

2. Quantum numbers
Quantum numbers are used to describe the energy levels and subshells of electrons in an atom. They include the principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m), and spin quantum number (s).

3. Azimuthal quantum number (l)
The azimuthal quantum number (l) determines the shape of the orbital and takes values from 0 to (n-1). For l=3, the subshell is referred to as f subshell.

4. Maximum number of electrons in a subshell
The maximum number of electrons in a subshell can be calculated using the formula: 2(2l+1).

For l=3 (f subshell), the maximum number of electrons can be determined as follows:
2(2(3)+1) = 2(6+1) = 2(7) = 14

Therefore, the maximum number of electrons in a subshell with l=3 and n=4 is 14.

Summary:
- The maximum number of electrons in a subshell can be determined using the formula 2(2l+1).
- For l=3 (f subshell) and n=4, the maximum number of electrons is 14.