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人工晶体学报 ›› 2004, Vol. 33 ›› Issue (4): 647-650.

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铌酸锂晶体中的分形几何观察

黄晖;许京军;孔勇发;张国权;舒永春;孙军;徐晓轩;张光寅   

  1. 昆明物理研究所,昆明,650223;南开大学物理科学学院光子学中心,天津,300071
  • 出版日期:2004-08-15 发布日期:2021-01-20
  • 基金资助:
    国家高技术研究发展计划(863计划)(2001AA313020);云南省自然科学基金(2003E0012Z)

Observation of Fractal Geometry in Lithium Niobate Crystal

  • Online:2004-08-15 Published:2021-01-20

摘要: 研究了铌酸锂晶体沿c轴的真实生长界面及腐蚀坑模式,在两种情况中均观察到了明显的塞尔宾斯基(Sierpinski)三角垫分形几何特征,两种情况的分形维度通过计算得出均为ln3/ln2≈1.58.

关键词: 铌酸锂晶体;塞尔宾斯基(Sierpinski) 三角垫;分形几何

Abstract: We investigated both a true grown interface of lithium niobate crystal and a etch pit pattern on axial c surface of lithium niobate crystal. We observed the fractal pattern that demonstrates all of the geometric characters of Sierpinski gasket (triangle). The fractal dimension of grown interface and etching pit pattern in lithium niobate crystal have been calculated to be ln3/ln2≈1.58. It is suggested that an etching potential plays a key role in the formation of fractal geometry in the etch pit pattern.

Key words: We investigated both a true grown interface of lithium niobate crystal and a etch pit pattern on axial c surface of lithium niobate crystal. We observed the fractal pattern that demonstrates all of the geometric characters of Sierpinski gasket (triangle). The fractal dimension of grown interface and etching pit pattern in lithium niobate crystal have been calculated to be ln3/ln2≈1.58. It is suggested that an etching potential plays a key role in the formation of fractal geometry in the etch pit pattern.

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