Uncertainty reevaluation in determining the volume of a silicon sphere by spherical harmonics in an Avogadro project

To determine the Avogadro constant with a target relative uncertainty of 2 x 10-s, the uncertainty component of the silicon sphere＇s volume introduced by the spherical harmonics method, which is usually used in determining the sphere＇s volume, is reevaluated. By means of representing the shape of th...

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Veröffentlicht in:	Chinese physics B 2011-09, Vol.20 (9), p.152-158
1. Verfasser:	张继涛吴学健李岩
Format:	Artikel
Sprache:	eng
Schlagworte:	Ellipsoids Gaussian Mapping Silicon Spherical harmonics Uncertainty White noise 不确定度分量体积映射方法球面硅球评估谐波阿伏伽德罗常数
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description	To determine the Avogadro constant with a target relative uncertainty of 2 x 10-s, the uncertainty component of the silicon sphere＇s volume introduced by the spherical harmonics method, which is usually used in determining the sphere＇s volume, is reevaluated. By means of representing the shape of the silicon sphere by an ellipsoid with Gaussian white noise in its diameters, the uncertainty of the current mapping methods based on the spherical harmonics theory can be estimated theoretically. It is evidenced that the uncertainty component attributed to the current mapping method is underestimated. To eliminate this effect as much as possible, the number of mapping points should be increased to more than before. Moreover, a new mapping method is proposed to accomplish the equal-area mapping with large number points on the silicon sphere.
doi_str_mv	10.1088/1674-1056/20/9/090601
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By means of representing the shape of the silicon sphere by an ellipsoid with Gaussian white noise in its diameters, the uncertainty of the current mapping methods based on the spherical harmonics theory can be estimated theoretically. It is evidenced that the uncertainty component attributed to the current mapping method is underestimated. To eliminate this effect as much as possible, the number of mapping points should be increased to more than before. 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subjects	Ellipsoids Gaussian Mapping Silicon Spherical harmonics Uncertainty White noise 不确定度分量体积映射方法球面硅球评估谐波阿伏伽德罗常数
title	Uncertainty reevaluation in determining the volume of a silicon sphere by spherical harmonics in an Avogadro project
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