Magnesite is magnesium carbonate:
\[
MgCO_3.
\]
When magnesite is burned or calcined at high temperature, it decomposes to form magnesia:
\[
MgO.
\]
The crystalline form of magnesium oxide is called:
\[
\text{Periclase}.
\]
During burning of magnesite, certain oxides influence the formation and growth of periclase crystals.
Ferric oxide:
\[
Fe_2O_3
\]
helps in promoting periclase formation during burning.
It assists in mineral development and high-temperature reactions in magnesite refractories.
Among the given options, \(Fe_2O_3\) is the oxide associated with promoting periclase formation.
Therefore, the correct answer is:
\[
Fe_2O_3.
\]