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It's a different substance - I don't think the juice would really work, as it will add more liquid, and possibly throw off the leavening that you have in the cake dough. It is a more diluted flavor than the zest. Try using the finest-grating side on your hand held grater - this will create a more mushy zest but that is fine - it'll blend into your dough better than if you finely diced it by hand. Zest has the concentrated lemon oils that the juice doesn't have.

