
Concept explainers
Outline a two-dimensional unit cell for the pattern shown here. If the black squares are labeled A and the white squares are B, what is the simplest formula for a “compound” based on this pattern?

Interpretation:
The simplest formula of the compound has to be identified.
Answer to Problem 1PS
The simplest formula of the compound is AB8.
Explanation of Solution
According to the picture, we consider the unit pattern as combination of two molecules,
There are seventy two white squares and nine black squares in the two dimensional unit cell patterns.
Formula of the pattern = 9 black squares +72 white squares +therefore,Formula of the pattern =A9 (blacksquares) + B72 (white squares )Simplfy the patternSimplest formula of the pattern =AB8
The simplest formula of the compound was identified.
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