You work for a team which has been tasked with developing a novel solid state

battery electrolyte. One of the 'hot materials' to investigate currently for this task

are perovskites. Your team decides to combine bismuth $($Bi$),$ iron $($ Fe $)$ and

oxygen $($O$)$ to form a perovskite.

Using the Goldschmidt factor for perovskites:

$t=\frac{r_A+r_o}{\sqrt[\phantom{2}]{2}(r_B+r_o)}$

where $r_A$ is the radius of the larger cation, $r_B$ is the radius of the smaller cation,

and $r_0$ is the radius of the anion, predict the crystal system that should form

from combining these elements.

PLEASE USE THE VALUES BELOW:

Bismuth$($Bi$)=1\mathrm{.}45$ A

Iron$($Fe$)=0\mathrm{.}654$ A

Oxygen$($O$)=1\mathrm{.}40$ A

All units $($A$)$ are Angstrom