Atom Structure Models

The magnetic quantum number, denoted as m, determines the number of possible orientations of an orbital angular momentum. For a given azimuthal quantum number l, the possible values for m range from -l to +l (inclusive). The total number of values of m for a given l is represented as n_m and can be calculated using the expression:

Re-arranging the formula to solve for l, we have:

This transformed equation aligns with the given options. Thus, the correct relationship between n_m and l is: