I don't think its when used in the possessive (or genitive) case - I think you mean contracted forms. For example, you wouldn't say "it's" or "doesn't". Instead, you would write 'it is' or 'does not'.
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Anonymousthe use of apostrophes indicating the possessive case is not recomended when writing an academic/ scientific manuscriptI've never heard that, but it makes sense. Can you give an example of a case where you would even want to or need to use possessives in scientific or academic writing (not counting quotations, of course)?