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Electronic affinity increases as you move up a group, because going up a group there are fewer energy levels that stand between the postively charged nucleus and the outer level electrons. This doesn't really come into play as much as the trend moving across periods though. Electron affinity goes up left to right across a period, because as you approach the non-metals, the desire for atoms to gain electrons to satisfy the octet rule/achieve noble gas configuration goes up. By the time you reach the halogens (group 17), that affinity is very high, which makes the halogens the most reactive non-metals.

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