If three elements X,Y and Z crystallise in a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The number of corners in a cube is $8$,and each corner atom is shared by $8$ unit cells. So,the effective number of $X$ atoms $= 8 	imes (1/8) =

Vedclass · Accepted Answer

$XYZ_{3}$

Vedclass · Answer

(C) The number of corners in a cube is $8$,and each corner atom is shared by $8$ unit cells. So,the effective number of $X$ atoms $= 8 	imes (1/8) = 1$.The $Y$ atom is at the body centre,which is not shared by any other unit cell. So,the effective number of $Y$ atoms $= 1$.The number of edges in a cube is $12$,and each edge centre atom is shared by $4$ unit cells. So,the effective number of $Z$ atoms $= 12 	imes (1/4) = 3$.Therefore,the ratio of atoms $X:Y:Z$ is $1:1:3$,and the formula of the compound is $XYZ_{3}$.

If three elements $X$,$Y$ and $Z$ crystallise in a $ccp$ lattice with $X$ atoms at the corners,$Y$ atoms at the cube centre and $Z$ atoms at the edges centre,the formula of the compound will be

Similar Questions

If the cation is present in the tetrahedral void,what is the radius ratio ${r_ + }/{r_ - }$?

In an ionic crystal,ion $A$ is present at the corners of the cubic unit cell,and ion $B$ is present at the centers of the faces. What is the formula of this ionic compound?

In the face-centred cubic $(FCC)$ lattice structure of gold, the closest distance between gold atoms is ('a' being the edge length of the cubic unit cell).

How many chloride ions are there around a sodium ion in a sodium chloride crystal?

The mineral $ZnAl_2O_4$ has a spinel structure. The percentage of occupied octahedral voids is ........... $\%$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module