Question

What are the allowed values for each of the four quantum numbers:n,l,ml, andms?

Short answer

For n, n = l to n=infinite . For l, l = 0 to l = n-1. For m_l, m_l = -l to m_l= +l. for m_s, m_s = ±1/2.

Step-by-step solution

describing values allowed for n and l

n defines energy level and size of the orbital. Values allowed for n are from n = l to n= infinite. L defines the shape of the orbital. values allowed for l are from l = 0 to l = n-1.

determining values allowed for ml and ms

m_lrepresents magnetic quantum number and orientations. values allowed for m_l are from m_l = -l to m_l= +l. m_s defines the direction of spin of the electron. Values allowed for m_S are ±1/2.