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What is the packing of the S atoms in the ZnS lattice and where are the Zn atoms?

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Related questions

For a face centered cubic lattice of identical atoms, with a lattice constant of 4.5 Ǻ, find the following:

a.Maximum packing fraction.

b.Radius of atoms treated as hard spheres.

When powdered zinc is heated with sulfur, a violent reaction occurs, and zinc sulfide forms: Zn(s)+S8(s)⟶ZnS(s)
Zn(s)+S8(s)⟶ZnS(s) [unbalanced] Some of the reactants also combine with oxygen in the air to form zinc oxide and sulfur dioxide. When 83.2 g of Zn reacts with 52.4 g of S8, 104.4 g of ZnS forms. What is the percent yield of ZnS? 

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