Question

sir can you please provide me all the conditions or laws to form a allotrope of carbon

Answer 1

This question cannot have the clear answer. The only rule which determines the structure of crystals is the Schrödinger equation, which cannot be analytically solved for systems with more than one electron. The various approximations and semi-quantative methods to describe the electron properties of molecules are known at this time, but if you need the precise answer, you should make calculations ab initio ("from the beginning"). Such calculations can be carried out only on modern cluster computers and require a lot of time.