Question

For n = 4 and l = 2, give the sublevel designation, the allowable ml values, and the number of orbitals.

Answer 1

Answer: Sublevel designation is 4d.

The allowable
`m_l` values are -2, -1, 0, +1, +2

Number of orbitals in 4d sublevel are 5.

Step-by-step explanation: Principle Quantum number or 'n' tells us about the number of orbits.

Azimuthal Quantum number or 'l' tells us about the sub-levels. It is calculated by the formula

`l=n-1`

Magnetic quantum number of
`m_l` tells us about the number of orbitals. Its value ranges from
`-l\text{ to }+l`

When n = 4, value of l = 0, 1, 2, 3 which designated s, p, d and f sub-level respectively.

Sub-level designation for the given values is 4d.

`m_l\text{ values are -2, -1, 0, +1 and +2}`

Number of orbitals = 5