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what is the minimum number of atoms that could be contained in the unit cell of an element with a body-centered cubic lattice?

Sagot :

The smallest number of atoms that could fit inside the unit cell of an element with a body-centered cubic lattice is XM4.

M ion is present in between each edge and one in the center too

so,no.of atoms per unit cell,

((12)*(1/4))+1=4 atoms

{case 1 These are 12 total atoms that are stored between four unit cells and an atom at the center that is not stored with any other unit cell}

X is at the corner of the unit cell so, the no. of atoms per unit cell=

((8)*(1/8))=1

{case 2 These are a total of 8 corners having one atom at each that, is shared between 8 unit cells}

so, the empirical formula of the compound must be

XM₄

As no option is matching with the answer, there is an error in the option also formula X2M is repeated 2 times may be an error

Learn more about  unit cell here:

https://brainly.com/question/29537966

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