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I'd say that it wouldn't hurt to memorize them because they follow along a pattern in the periodic table. It's a slightly skewed diagonal line of elements. Since Dr. Lavelle showed us exactly which ones are in class, then there's a chance that we might have to recall them in some manner for the final.
The diagonal band they are referring to includes Be, Al, Ga, Sn, Sb, and Pb. The examples Lavelle used in class were all bonded with oxygen, so BeO, Al2O3, Ga2O3, SnO2, SbO5, and PbO2
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