Author(s)

Shaojia Yuan ¹, Huiyu Shen ¹, Xin Gao ¹, Jiazheng Zhu ¹, Yifei Zhao ¹

Affiliation(s)

¹ Xi'an Jiaotong University City College, Xi'an, 710018, China

Corresponding Author

Huiyu Shen

ABSTRACT

In this experiment, two-dimensional crystal structures with different symmetries were simulated using metal microspheres. The effect of simulating the lattice constant change of two-dimensional crystals was achieved by changing the diameter of the metal microspheres. The reciprocal lattice of these two-dimensional structures was measured using a laser as the light source, and the relationship between reciprocal lattice and lattice symmetry, as well as the relationship between reciprocal lattice and lattice constant, was simulated. By measuring the reciprocal lattice, the mathematical relationship between the reciprocal lattice points and the spacing between crystal planes was also verified, and the crystal plane index represented by the reciprocal lattice points was calibrated. In addition, common errors and error results in the experiment were analyzed.

KEYWORDS

Two-dimensional Lattice, Reciprocal Lattice, Crystal Plane Spacing

CITE THIS PAPER

Shaojia Yuan, Huiyu Shen, Xin Gao, Jiazheng Zhu, Yifei Zhao, Experimental simulation research based on two-dimensional lattice reciprocal lattice. Transactions on Computational and Applied Mathematics (2024) Vol. 4: 95-103. DOI: http://dx.doi.org/10.23977/tracam.2024.040113.

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