Solved Homework StatementMetal Fluoride Crystallizes in a Cubic Structure

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The metal fluoride in question crystallizes in a face-centered cubic structure, with fluoride ions located at the corners and faces of the unit cell. Each unit cell contains four metal atoms situated in the body center. To determine the formula of the metal fluoride, one must calculate the total number of fluoride ions and metal atoms per unit cell, considering the contributions from the lattice positions. The fluoride ions contribute a total of four ions per unit cell, while the four metal atoms contribute one atom each. Thus, the resulting formula for the metal fluoride is MF4, where M represents the metal.
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Homework Statement



A metal fluoride crystallizes in a cubic structure such that the fluoride ions occupy lattice positions at the corners and on the faces while 4 metal atoms occupy positions within the body of the unit cells. The formula of the metal fluoride is?



I don't know where to start or what equations are relevant. all i know is that I'm pretty sure this is a face centered cubic structure
 
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How many atoms of each element per unit cell? Note that atoms lying on the border have only their part in unit cell, so you have to sum fractions.
 
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