Graphene and graphdiyne are two prominent carbon-based materials with unique structures and diverse applications. Graphene, a single layer of carbon atoms arranged in a two-dimensional honeycomb lattice, can be synthesized via methods like chemical vapor deposition and mechanical exfoliation. Graphene finds applications in thermal conduction, energy storage, graphene support, electromagnetic wave shielding, and absorption due to its exceptional electrical, mechanical, and thermal properties. Graphdiyne, a new class of carbon allotrope comprising sp and sp2-hybridized carbon atoms, is synthesized through bottom-up methods. Its unique structure and properties make it promising for applications in catalysis, energy storage, and electronics. Both graphene and graphdiyne hold significant potential for advancing various technological fields due to their remarkable properties and versatility.