Answer to Question #148865 in Quantum Mechanics for mavin omondi

Question

Write four factors that enable scientists to provide electron coordinates (label completely an electron( in any orbital in any atom 

Answer 1

The four physical quantities used to label completely electron attached to an atom are :

• Principal quantum number $n$ that describes the energy level (shell), $n=1,2,...$ .
• Azimuthal quantum number $l$ that describes the shape of orbital (sub-shell), $l=0,1,2,...,n-1$ .
• Magnetic quantum number $m_l$ that describes the specific orbital within the sub-shell, projection of the angular momentum along the specified axe, $m_l = -l, -l+1,...,l-1,l$ .
• Spin quantum number $m_s$ that describes the projection of spin along the specified axe, $m_s = -\frac{1}{2}, \frac{1}{2}$ .