The edge-to-edge matching model (E2EM) is used to predict and analyze the epitaxial growth mechanism of spinel and diopside in CaO-MgO-Al₂O₃-SiO₂ (CMAS) glass-ceramics. At the same time, the prepared glass-ceramics were characterized by X-ray diffraction (XRD) and electron backscatter diffraction (EBSD). It is found that the theoretically predicted phase interface where epitaxial growth can occur is consistent with the conclusion measured by characterization. In the crystallization zone: < $\stackrel{\mathrm{-}}{1}12$ >_spinel//<001>_diopside ($\stackrel{\mathrm{-}}{1}1\stackrel{\mathrm{-}}{1}$)_spinel at an angle 1.06° (200)_diopside, < $\stackrel{\mathrm{-}}{1}12$ >_spinel//<101>_diopside (311)_spinel at an angle 1.26° ( $\stackrel{\mathrm{-}}{1}$ 31)_diopside. Through models and experiments, it was found that spinel with a lattice constant of 7.632-8.597 Å (Fd-3 m) can provide a special nucleation interface for diopside, which can effectively induce the precipitation of diopside. This study provides good theoretical guidance for the preparation of diopside. Meanwhile, the model has strong potential to be used to develop new crystal nucleating agents in glass-ceramics.

边对边匹配模型（E2EM）用于预测和分析CaO-MgO-Al ₂ O ₃ -SiO ₂（CMAS）玻璃陶瓷中尖晶石和透辉石的外延生长机理。同时，通过X射线衍射（XRD）和电子背散射衍射（EBSD）对制得的玻璃陶瓷进行表征。发现理论上预测的可发生外延生长的相界面与通过表征测量的结论一致。在结晶区：$\stackrel{\mathrm{--}}{\mathrm{1个}}12$>_尖晶石// <001>_透辉石（$\stackrel{\mathrm{--}}{\mathrm{1个}}\mathrm{1个}\stackrel{\mathrm{--}}{\mathrm{1个}}$）_尖晶石以一角度1.06°（200）_透辉石，<$\stackrel{\mathrm{--}}{\mathrm{1个}}12$>_尖晶石// <101>_透辉石（311）_尖晶石的角度为1.26°（$\stackrel{\mathrm{--}}{\mathrm{1个}}$31）_透辉石。通过模型和实验发现，晶格常数为7.632-8.597Å（Fd-3 m）的尖晶石可以为透辉石提供特殊的成核界面，从而可以有效地诱导透辉石的析出。该研究为透辉石的制备提供了良好的理论指导。同时，该模型具有很强的潜力，可用于开发玻璃陶瓷中的新型晶体成核剂。