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JOURNAL OF SYNTHETIC CRYSTALS ›› 2004, Vol. 33 ›› Issue (4): 647-650.

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Observation of Fractal Geometry in Lithium Niobate Crystal

  

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

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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