# Normalizing a 3D Wavefunction

**Classical Mechanics**Level 5

Consider the wavefunction of a one-electron ion \[{\phi}_{1,0,0}(\overrightarrow{r}) = Cexp\left(\frac{-Zr}{{a}_{B}}\right)\]

(ignore the subscripts), where \(C\), \(Z\) and \({a}_{B}\) are constants (atomic number and Bohr radius).

The constant you solve for is in the form \(C = \alpha{\left(\frac{Z}{{a}_{B}}\right)}^{3/2}\). What is \(\alpha\)?