Fluorine does not exhibit any positive oxidation state?
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Because fluorine is the most electronegative element.
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Fluorine is relatively smaller in size and is the element with high electro-negative property in periodic table.
It also has very high positive ionization enthalpy.
For fluorine to exhibit any positive oxidation state it has to be bonded to a negative element even higher than it which is not possible, thus fluorine does not exhibit any positive oxidation state.
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