XRD pattern of [Formula: see text]-Ga2O3 powder, synthesized through template-free two step hydrothermal method at low temperature thoroughly, is investigated by imposing different methods of analysis. Both crystallite sizes and micro-strains of the micro-structures are analyzed and compared. Along with the traditional Scherrer’s formula (S-average, LF and LFTZ), modified Williamson–Hall (W-H) method with UDM, USDM and UDEDM and Size-Strain Plot (SSP) method were used for the investigation. Stress and defect energy densities were calculated from USDM and UDEDM modified W-H plots of the powder sample, respectively. Detailed analysis of the crystallite size and micro-strain from different methods/models was done. Obtained crystallite sizes and micro-strains from different models were compared with the results obtained from TEM analysis. It was found that crystallite sizes obtained from UDM modified W-H analysis and SSP models well coincided with crystallite size observed from TEM micrograph.

中文翻译：

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不同分析方法水热合成β-Ga2O3的微晶尺寸和微应变研究

[分子式：见正文]-Ga的XRD图谱2○3采用不同的分析方法对无模板两步水热法在低温下合成的粉末进行了深入研究。分析和比较了微结构的微晶尺寸和微应变。除了传统的 Scherrer 公式（S-average、LF 和 LFTZ）外，还使用了 UDM、USDM 和 UDEDM 的修正 Williamson-Hall (WH) 方法和尺寸-应变图 (SSP) 方法进行研究。应力和缺陷能量密度分别由粉末样品的 USDM 和 UDEDM 修改的 WH 图计算得出。对不同方法/模型的微晶尺寸和微应变进行了详细分析。将从不同模型获得的微晶尺寸和微应变与从 TEM 分析获得的结果进行比较。