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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

Outline a procedure to calculate the percent of space occupied by the atoms in an fcc arrangement.

Interpretation Introduction

Interpretation:

The procedure to calculate the percent of space occupied by atoms in FCC arrangement has to be outlined.

Concept introduction:

  • The face-centered cubic arrangement, the FCC atoms are located at each of the corners and the centers of all the cube faces.
  • The ratio between the total volumes of a cube occupied by constituent particles.
Explanation

From the figure,

    

The number of effective atoms/anions/cations in FCC =4

For an FCC unit cell,

a=4r2

Packing fraction PF=4×43πr3a3

On substituting the value of

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