Establishment of the Concept of Reciprocal Lattice from Ewald Diagram Explanation on Bragg Equation
MA Jun, XIONG Xin-Bo, LI Xiao-Hua, YANG Hai-Peng, LIANG Wen-Lang
Shenzhen Key Laboratory of Special Functional Materials, Shenzhen Engineering Laboratory for Advanced Technology of Ceramics, College of Materials Science, Shenzhen University, Shenzhen 518060, China
Abstract Reciprocal lattice is one of the important teaching contents, and also one of the difficulties in some courses with relation to such undergraduate specialties as chemistry, physics, geology, mineralogy, and materials science. Up to now, knowledge points about reciprocal lattice have no logic correlation with each other, which brings difficulties to study of students and classroom teaching of teachers. Here, the concept of reciprocal lattice is established from Ewald diagram explanation on Bragg Equation. According to Ewald diagram explanation on Bragg equation, primitive vectors of reciprocal lattice should first be defined, and then node indexes of a reciprocal vector could be deduced, which equal to the Miller indexes of its corresponding lattice plane. This novel teaching route would facilitate beginners to better understand the concept of reciprocal lattice due to the visualization and materialization of Ewald diagram adding to our organized analyses.
MA Jun, XIONG Xin-Bo, LI Xiao-Hua, YANG Hai-Peng, LIANG Wen-Lang. Establishment of the Concept of Reciprocal Lattice from Ewald Diagram Explanation on Bragg Equation[J]. Chinese Journal of Chemical Education, 2018, 39(14): 12-15.
