Since the discovery of graphene, 2D materials attracted intense interest to the research circle. Growth by chemical vapor deposition is currently the most important way to obtain 2D materials.Thethe grown 2D materials has a dazzling diversity of morphologies.Take graphene for example, the observed shapes include not only hexagons, but also dodecagons, pentagons, snow flakes,gears, circles,seaguls,rectangles and even more. Meanwhile, explanations to many of these morphologies still remain challenging.
In this talk, we try to solve the challenges aided by the phase-field method. Phase-field method is a tool that can easily simulate morphology evolution of crystals, including those are 2D.We introduce principles of the method. A series of recent works will be presented as examples to show the power of this method.These works include the explanation of shapes of MoS2, SnSe2, dodecagon graphene, truncatedtriangle shapes of MX2,shapes of 2D materials on a cone, and the effect of temperature on the dendricity of 2D grains.