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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

The unit cell shown here is for calcium carbide. How many calcium atoms and how many carbon atoms are in each unit cell? What is the formula of calcium carbide? (Calcium ions are silver in color and carbon atoms are gray.)

images

Unit cell for calcium carbide

Interpretation Introduction

Interpretation:

The number of calcium atoms, the number of carbon atom in unit cell and formula of calcium carbide has to be calculated.

Concept introduction:

Body Centered Cubic Structure:

In simple cubic crystal structure, eight atoms is placed in the corner of the cube and one atom in the center of the cube, therefore it is called as body-centered cubic.

Explanation

The unit cell for calcium is body- centered cubic. There are atoms at each of the corners of a cube and one atom embedded in the middle of the cube.

Number of Calcium atoms per unit is given below,

It has 8 atoms in the corner, 1 atom in the body.

Number of atoms per unit=(8corneratoms×1/8+1bodyatoms×1)Number of atoms per unit=2

There are ten carbon atoms per unit cell

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