Rutile is a naturally occurring mineral form of titanium dioxide.
Its chemical formula is:
\[
TiO_2.
\]
In rutile, titanium is present in the \(+4\) oxidation state.
Oxygen has oxidation state:
\[
-2.
\]
So two oxygen atoms give total charge:
\[
2(-2)=-4.
\]
This balances one titanium ion:
\[
Ti^{4+}.
\]
Hence, the formula becomes:
\[
TiO_2.
\]
\(SiO_2\) is silica or quartz.
\(Na_2O\) is sodium oxide.
\(K_2O\) is potassium oxide.
Therefore, the chemical formula of rutile is:
\[
TiO_2.
\]