Magnetic quantum numbers

Classical Mechanics Level 1

Which of the following sets of quantum numbers is not allowed?

n = 4, \ell = 3, m_{\ell}=-2

n = 3, \ell = 1, m_{\ell}=-1

n = 2, \ell = 1, m_{\ell}=-2

n = 1, \ell = 0, m_{\ell}=0

n = 4, \ell = 2, m_{\ell}=-2

1 solution

July Thomas
Apr 27, 2016

$m_{\ell}$ may only take values between $-\ell$ and $\ell$ . So the $\ell = 1$ subshell may only have $m_{\ell} = -1, 0, 1.$