Question

For each value of $l$, the possible values of m${}_l$ are $2l+x$.
Value of x is :

Answer 1

The magnetic quantum number, m (the orbital (box) the electron is in)

• determines the orientation of orbitals within a sublevel.

• does not affect orbital energy (except in magnetic fields!)

• only integer values between -l and +l are allowed so possible values are $2l+1$

• the number of m values within a sublevel is the number of orbitals within a sublevel

So value of x is $1.$