Which of the following expressions is correct | vedclass

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(B) In a sodium chloride $(NaCl)$ crystal structure,the $Na^+$ ions occupy the octahedral voids and $Cl^-$ ions form a face-centered cubic $(fcc)$ lat

Vedclass · Accepted Answer

$r_c + r_a = a/2$

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(B) In a sodium chloride $(NaCl)$ crystal structure,the $Na^+$ ions occupy the octahedral voids and $Cl^-$ ions form a face-centered cubic $(fcc)$ lattice.Along the edge of the unit cell,the ions are arranged as $Cl^- - Na^+ - Cl^-$.The edge length $a$ is equal to the sum of the diameters of the cation $(r_c)$ and the anion $(r_a)$.Therefore,$a = 2r_c + 2r_a = 2(r_c + r_a)$.Rearranging this gives $r_c + r_a = a/2$.

Which of the following expressions is correct for a sodium chloride $(NaCl)$ unit cell with edge length $a$?

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