• 文献标题:   Universal Scherrer equation for graphene fragments
  • 文献类型:   Article
  • 作  者:   LIM DJ, MARKS NA, ROWLES MR
  • 作者关键词:  
  • 出版物名称:   CARBON
  • ISSN:   0008-6223 EI 1873-3891
  • 通讯作者地址:   Curtin Univ
  • 被引频次:   6
  • DOI:   10.1016/j.carbon.2020.02.064
  • 出版年:   2020

▎ 摘  要

Graphene fragments spanning a wide range of size and shape were studied computationally using the Debye scattering equation. The calculated diffraction patterns were analysed using the Scherrer equation to infer the fragment size, L-a. Comparison with the known fragment sizes reveals a strong affine relationship between L-a and the Scherrer quantity lambda/(Bcos theta). To preserve this relationship, we propose modifying the Scherrer equation to include an empirical additive constant. Our approach solves the well-known problem of size-dependence in the shape factor and yields a universal expression by defining L-a as the square-root of the fragment area. The relationship between observed diffraction peak positions and unit cell parameters is also discussed. (C) 2020 Elsevier Ltd. All rights reserved.