The fractional coordinates 𝑋of atoms within the unit cells are continuous variables bounded within the domain [0, 1) A . Modeling the diffusion process for these coordinates presents unique challenges due to their cyclical and bounded nature. To address this, we employ a Score-Matching (SM) based framework , which is a variance-exploding diffusion process. It which has been demonstrated as effective for generative models for fractional coordinate. The forward process was carried out with the Wrapped Normal (WN) distribution , 𝑁 U and the variance 𝜎 , G at time t: