Question

Specify the l and ml values for n = 4.

Answer 1

Answer : The specify the l and ml values for n = 4 are:

At l = 0,
`m_l=0`

At l = 1,
`m_l=+1,0,-1`

At l = 2,
`m_l=+2,+1,0,-1,-2`

At l = 3,
`m_l=+3,+2,+1,0,-1,-2,-3`

Step-by-step explanation:

There are 4 quantum numbers :

Principle Quantum Numbers : It describes the size of the orbital. It is represented by n. n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as m_l. The value of this quantum number ranges from
`(-l\text{ to }+l)`. When l = 2, the value of
`m_l` will be -2, -1, 0, +1, +2.

Spin Quantum number : It describes the direction of electron spin. This is represented as
`m_s`The value of this is
`+(1)/(2)` for upward spin and
`-(1)/(2)` for downward spin.

As we are given, n = 4 then the value of l and ml are,

l = 0, 1, 2, 3

At l = 0,
`m_l=0`

At l = 1,
`m_l=+1,0,-1`

At l = 2,
`m_l=+2,+1,0,-1,-2`

At l = 3,
`m_l=+3,+2,+1,0,-1,-2,-3`