All articles of this category 2- and 4-Fluoroanisole undergo hydrogen/metal exchange at the position next to the alkoxy moiety if butyllithium or tert -butyllithium is employed and at the position next to the halogen atom if the stoichiometric mixture of butyllithium and potassium tert -butoxide serves as the reagent. 3-Fluoroanisole is always attacked at the position flanked by the two heterosubstituents.
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Katsoulos et al. (1991) studied this question.