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Halogens have maximum negative electron ...

Halogens have maximum negative electron gain enthalpy in the respective periods of the periodic table. Why?

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Halogens have the smallest size in their respective periods and therefore high effective nuclear charge. As a consequence, halogens having the general valence shell electronic configuration `(ns^(2)np^(5))` readily accept one electron to acquire noble gas electronic configuration `(ns^(2)np^(6))`.
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