(B) In an $FCC$ unit cell,there are $8$ corners and $6$ face centers. Number of atoms of $A$ initially at corners $= 8 \times \frac{1}{8} = 1$. After

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(B) In an $FCC$ unit cell,there are $8$ corners and $6$ face centers. Number of atoms of $A$ initially at corners $= 8 \times \frac{1}{8} = 1$. After removing $4$ atoms from corners,remaining atoms of $A = (8 - 4) \times \frac{1}{8} = 4 \times \frac{1}{8} = \frac{1}{2}$. Number of atoms of $B$ at face centers $= 6 \times \frac{1}{2} = 3$. The ratio of $A:B = \frac{1}{2} : 3 = 1 : 6$. Therefore,the empirical formula is $AB_6$.

Class 12 Chemistry Solid State Crystal structure and Coordination number

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In a face-centered cubic $(FCC)$ arrangement,atoms $A$ are present at the corners and atoms $B$ are present at the face centers. If $4$ atoms of $A$ are removed from the corners,what is the empirical formula of the compound?

A
$A_4B_4$
B
$AB_6$
C
$A_2B_2$
D
$A_3B_4$

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Solid State

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Crystal structure and Coordination number

Calculate the total number of atoms in a $bcc$ crystal lattice containing $2 \times 10^{23}$ unit cells.

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If the radius ratio is in the range of $0.414 - 0.732,$ then the coordination number will be

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The number of equidistant oppositely charged ions in a sodium chloride crystal is

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In a crystal of $NaCl$, the distance between $Na^{+}$ and $Cl^{-}$ is $x \, pm$. What is the edge length of the unit cell?

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An alloy of copper,silver,and gold is found to have copper atoms in an $fcc$ lattice. If silver atoms occupy the edge centers and gold atoms are present at the body center,what is the formula of the alloy?

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In a face-centered cubic $(FCC)$ arrangement,atoms $A$ are present at the corners and atoms $B$ are present at the face centers. If $4$ atoms of $A$ are removed from the corners,what is the empirical formula of the compound?

Similar Questions

Calculate the total number of atoms in a $bcc$ crystal lattice containing $2 \times 10^{23}$ unit cells.

If the radius ratio is in the range of $0.414 - 0.732,$ then the coordination number will be

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