Step 1: Understand the structure of P$_4$O$_8$.
P$_4$O$_8$ is derived from the P$_4$ tetrahedral structureEach phosphorus atom is bonded to oxygen atoms
Step 2: Types of oxygen atoms present.
There are two types of oxygen atoms:
- Terminal oxygen atoms (P=O)
- Bridging oxygen atoms (P–O–P)
Step 3: Count total oxygen atoms.
\[
\text{Total oxygen atoms} = 8
\]
Step 4: Count terminal oxygen atoms.
In P$_4$O$_8$, each phosphorus has one terminal oxygenThus, terminal oxygen atoms = 4
Step 5: Determine bridging oxygen atoms.
\[
\text{Bridging oxygen atoms} = 8 - 4 = 4
\]
Each bridging oxygen forms one P–O–P bridge
Step 6: Conclusion.
\[
\boxed{4}
\]