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Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

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BuyFindarrow_forward

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

Why is it not possible for a salt with the formula M3X (Na3PO4, for example) to have a face-centered cubic lattice of X anions with M cations in octahedral holes?

Interpretation Introduction

Interpretation:

The reason for it is not possible for salt with the formula of M3X type to have a face-centered cubic lattice of X anions with M cations in octahedral holes has to be explained.

Concept introduction:

The face-centered cubic system:

It has lattice points on the faces of the cube, that each gives exactly one half contributions, in addition to the corner lattice points, giving a total of 4 lattice points per unit cell

Explanation

In face centered cubic cell, totally there are four anions per unit cell, If all tetrahedral holes are occupied by the cations, the number of cations per unit is eight therefore the formula of salt is M2X.

If half of the tetrahedral holes are occupied by the cations, the number of cations per unit is four therefore the formula of salt is MX...

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