The problem provides a naming convention similar to the periodic table. For example, the compound JG is named Jellium gorillide, and JrRoG\(_3\) is named Juniorium romate. This suggests that the first element in the formula is named first, followed by the second element with a suffix indicating its type or charge.
Step 2: Analyze the Given Chemical Formula
The chemical formula given is \(\mathrm{Vo}_{3}\left(\mathrm{DG}_{2}\right)_{5}\). This indicates that there are three Volcanium (Vo) atoms and five Dogite (\(\mathrm{DG}_{2}\)) groups.
Step 3: Determine the Proper Name
According to the naming convention, the name should reflect the number of each type of atom or group. The prefix "tri-" is used for three, and "penta-" is used for five. Therefore, the name should be "trivolcanium pentadogite."