The stereometric and fractal concepts are crucial tools to analyse, to verify, to report 3-D microtexture of thin film surfaces on the nanometre scale and thereby to generate useful topographic characteristics for better understanding and steering them toward further improvements and rational use in modern applications. At first, the present work aimed to prepare hematite α-Fe₂O₃ thin films with (0, 2, 4, 6 and 8 wt%) of Cu doping by using the air pneumatic spray method. Subsequently, the obtained pure α-Fe₂O₃ and Cu-doped α-Fe₂O₃ thin films were characterised by XRD device, which determines their polycrystalline nature with the rhombohedral hematite structure. Analysis by UV-VIS absorption showed that the transmittance of the thin films is extinct in the wavelength from approximately 500 to 800 nm, revealing that the films have good optical absorbance in the visible region. The obtained bandgap values varied between 2.23 and 2.21 eV. At second stage, the stereometric and fractal analysis are applied on 3-D image data of pure α- Fe₂O₃ and Cu-doped α-Fe₂O₃ thin films, which in prior generated using AFM device. Accordingly, the obtained statistical parameters such as surface roughness, density distribution of peaks, depths etc. were used to understand the influence of Cu doping on the 3D microtexture of pure α- Fe₂O₃ and Cu-doped α- Fe₂O₃ thin film surfaces.

中文翻译：

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气动喷涂法制备铜掺杂氧化铁薄膜的显微织构分析

立体和分形概念是分析、验证、报告纳米级薄膜表面的 3-D 微纹理的重要工具，从而生成有用的地形特征，以便更好地理解和引导它们在现代应用中进一步改进和合理使用. 首先，本工作旨在采用空气气动喷涂法制备（0、2、4、6和8 wt%）Cu掺杂的赤铁矿α-Fe ₂ O ₃薄膜。随后，得到纯α-Fe ₂ O ₃和Cu掺杂的α-Fe ₂ O ₃薄膜通过XRD装置进行表征，确定了它们具有菱面体赤铁矿结构的多晶性质。紫外-可见光吸收分析表明，薄膜的透光率在约500～800nm波长范围内消失，表明薄膜在可见光区具有良好的吸光度。获得的带隙值在 2.23 和 2.21 eV 之间变化。_{在第二阶段，对纯α-Fe 2} O ₃和Cu掺杂的α-Fe ₂ O ₃的3-D图像数据进行立体测量和分形分析。以前使用 AFM 设备生成的薄膜。据此，利用获得的表面粗糙度、峰密度分布、深度等统计参数来了解Cu掺杂对纯α-Fe ₂ O ₃和Cu掺杂的α-Fe ₂ O ₃ 3D显微织构的影响。薄膜表面。