This paper studies the nucleation and growth of vertical carbon nanotube array on 2-dimensional graphene and elaborates the impact of plasma on the same. It observes an analytical model of growth of Carbon Nanotubes (CNT) on the wonder material, Graphene has been developed. The model includes the growth of the CNTs on graphene Plasma Enhanced Chemical Vapour Deposition (PECVD) technique where the plasma consists of hydrocarbon and hydrogen radicals and neutral molecules using the gas mixture of Argon, Hydrogen and suitable hydrocarbons. Further, using MATHEMATICA, the paper examines various trends such as relationship between radius of catalyst particle and time for different RF powers, the time variations of thickness of Graphene sheet for different RF powers, etc. It also discusses the results obtained after running the equations, with the results obtained experimentally. Such hybrids are crucial for making materials with a diverse set of wondrous electrical, chemical, physical and optical properties.
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