Question

which quantum number describes the shape of a given orbital? ml n l

Explanation:

The principal quantum number \( n \) describes the energy level and size of the orbital. The magnetic quantum number \( m_l \) describes the orientation of the orbital in space. The angular momentum quantum number \( l \) describes the shape of the orbital. For example, when \( l = 0 \), the orbital is \( s - \)shaped (spherical), when \( l=1 \), the orbital is \( p - \)shaped (dumb - bell), when \( l = 2 \), the orbital is \( d - \)shaped (clover - leaf) etc.

Answer:

The quantum number that describes the shape of a given orbital is \( l \) (the angular momentum quantum number).