  We study the regular function ring $R(\mathcal{O})$ for all symplectic
nilpotent orbits $\mathcal{O}$ with even column sizes. We begin by recalling
the quantization model for all such orbits by Barbasch using unipotent
representations. With this model, we express the multiplicities of fundamental
representations appearing in $R(\mathcal{O})$ by a parabolically induced
module. Finally, we will use this formula to give a criterion on the normality
of the Zariski closure $\bar{\mathcal{O}}$ of $\mathcal{O}$.
