Step 1: Understand the Coordination of the Metal Center.
The complex is of the form CoL\(_4\), where L represents a norbornyl ligand. The cobalt ion is surrounded by four ligands in a tetrahedral geometry.
Step 2: Analyze the Electron Configuration.
Cobalt in its +2 oxidation state has an electron configuration of [Ar] 3d\(^7\) 4s\(^2\). Since it is surrounded by four ligands, and the complex is tetrahedral, one electron will remain unpaired.
Step 3: Conclusion.
Thus, the geometry is tetrahedral, and there is one unpaired electron.
Final Answer:
\[
\text{Tetrahedral and one unpaired electron.}
\]
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