Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 7 - Periodic Properties of the Elements - Additional Exercises - Page 295: 7.90b


The length of an edge is $5.16\dot{A}$.

Work Step by Step

The $SrO$ bond is formed when $Sr$ shares 2 electrons with $O$, thus the compound consists of $Sr^{2+}$ cations and $O^{2-}$ anions. The length of the $SrO$ bond is the sum of the radii of the two ions. According to the figure the radii of $Sr^{2+}$ is 1.32 and the radii of $O^{2-}$ is 1.26. The length of the $SrO$ bond is therefore: $1.32+1.26=2.58$. The side of the cube in the figure consists of two $SrO$ bonds in a linear arrangement, so the length of the side is twice the length of one bond. $2\times2.58=5.16$
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