Density functional theory and molecular dynamics study on the growth of graphene by chemical vapor deposition on copper substrate

Qihang Li, Jinping Luo, Zaoyang Li, M. Rummeli, Lijun Liu
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Abstract

Chemical vapor deposition is an affordable method for producing high-quality graphene. Microscopic defects in graphene grown on copper substrates, such as five- and seven-membered rings, degrade the quality of graphene. Therefore, it is essential to study the growth process and factors affecting the quality of graphene on copper surfaces. In this study, first-principles calculations based on density functional theory show that the four-step dehydrogenation reaction of methane is endothermic, with the energy barrier for the last dehydrogenation step being relatively high. Additionally, CH forms dimers on the copper surface with a lower energy barrier and trimers with a higher energy barrier, indicating that carbon dimers are the primary precursor species for graphene growth in the early stages. Subsequently, in molecular dynamics simulations, the analytical bond-order potential based on quantum mechanics is employed. The results reveal that the growth of graphene on the copper surface involves the diffusion and gradual nucleation of carbon dimers in the early stages, the gradual enlargement of graphene domains in the intermediate stages, and the gradual merging of graphene domain boundaries in the later stages. Moreover, the growth of graphene on the copper substrate follows a self-limiting growth mode. Increasing the deposition interval of carbon atoms and reducing the carbon atom deposition velocity contribute to enhancing the quality of graphene grown on the copper substrate.
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铜基底上化学气相沉积石墨烯生长的密度泛函理论和分子动力学研究
化学气相沉积是生产高质量石墨烯的一种经济实惠的方法。在铜基底上生长的石墨烯存在五元环和七元环等微观缺陷,会降低石墨烯的质量。因此,研究铜表面石墨烯的生长过程和影响石墨烯质量的因素至关重要。在本研究中,基于密度泛函理论的第一性原理计算表明,甲烷的四步脱氢反应是内热反应,最后一步脱氢反应的能量势垒相对较高。此外,CH 在铜表面形成二聚体的能量势垒较低,而形成三聚体的能量势垒较高,这表明碳二聚体是石墨烯早期生长的主要前驱物。随后,在分子动力学模拟中,采用了基于量子力学的分析键阶势。结果表明,石墨烯在铜表面的生长包括早期碳二聚体的扩散和逐渐成核、中期石墨烯畴的逐渐扩大以及后期石墨烯畴边界的逐渐合并。此外,石墨烯在铜基底上的生长遵循一种自限制生长模式。增加碳原子的沉积间隔和降低碳原子的沉积速度有助于提高在铜基底上生长的石墨烯的质量。
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