How much spatial change can amino acids of protein's active site withstand before being unable to perform protein's function?

We can, for example, compare X-ray or NMR structure of protein with modified structures of the same protein and conclude that the modified protein still has the same function because amino acids of the active site haven't changed their place, or we might conclude that, most probably, modified protein will lose function since amino acids of its active site have "moved" too much.

Is there a reference to how large this "too much" can be before protein loses function?

Thanks :)

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