Chapter 6, Problem 101AP

Interpretation Introduction

Interpretation:

The maximum number of electrons in an atom and their specified orbital are to be determined.

Concept introduction:

Principle quantum number describes the size of orbital by determining the number of shells in which the electron revolves in an atom. It is denoted by $n$.

Azimuthal quantum number confirms the shape of atomic orbital by determining the number of subshells or orbitals in which the electron revolves. It is denoted by $l$. $0,1,2,3$ represent $s,p,d,f$

orbitals $(l=n-1)$.

Magnetic quantum number describes the orientation of orbitals in space. It is denoted by $m_l$. For any $l$, $m=2l+1$.

Electron spin quantum number specifies the direction in which the electron spins. There are two directions in which the electron spins opposite each other. $m_s$ has two possible values, $+\frac{1}{2}$

and $-\frac{1}{2}$.