The correct name for the ionic compound CrCl3 is chromium(III) chloride.
In this compound, chromium has a +3 oxidation state, which is indicated by the Roman numeral III, and it is combined with three chloride ions, each having a -1 charge. Therefore, the correct nomenclature reflects the +3 oxidation state of chromium.
Additionally, "chromic chloride" is also an acceptable alternative name for CrCl3, but "chromium(III) chloride" is the more precise and formal IUPAC name.
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