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球粒尺寸在二维和三维中的平均化

Chondrule size averaging in two and three dimensions

Emmanuel Jacquet

arXiv 2609.37178首次发表:更新:

发表机构

Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, UMR7590, Muséum national d’Histoire naturelle, CNRS(矿物学、材料物理与宇宙化学研究所,UMR7590,法国国家自然历史博物馆,法国国家科学研究中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出从二维尺寸平均值直接计算三维球粒尺寸平均值的方法,并引入球体加权平均值,以更稳健地度量球粒群体表面/体积比,与文献估计更吻合。

AI 中文摘要

球粒尺寸是判别球粒陨石群组及球粒形成理论的重要指标。然而,大多数研究仅报告二维尺寸,而未尝试过去文献中提出的较为繁琐的三维校正方法。本文表明,三维尺寸平均值可以直接从适当幂次的二维平均值简单计算得出(反之亦然),无需重建三维分布,尽管文中也提供了用于此目的的显式公式。这阐明了三维与二维算术平均尺寸之间的比较,并确认对于已发表的数据集,两者差异甚微。然而,我提出了另一种类型的平均值,即“球体加权平均值”(即按球粒等体积球面积加权),这是对球粒群体表面积/体积比的一种度量,对于遗漏小尺寸球粒更具稳健性。虽然该值大于算术平均值,但它与基于较不全面的球粒调查的先前文献估计最为吻合。

英文摘要

Chondrule sizes are an important discriminant of chondrite groups and chondrule formation theories. Yet most studies report 2D sizes without attempting the somewhat tedious corrections to 3D proposed in the past literature. I show here that 3D size averages can be simply calculated directly from 2D averages of appropriate powers of sizes (and vice-versa), without having to reconstruct 3D distributions, although explicit formulas to that end are also provided. This illuminates the comparison between 3D and 2D arithmetic size averages, which are confirmed to be little different for the published datasets. Yet I suggest another type of average, the "sphere-weighted average" (i.e. weighted by the chondrule equal-volume sphere area), a measure of the surface/volume ratio of the chondrule population, which is more robust against omission of small chondrules. While larger than the arithmetic averages, it is best in line with previous literature estimates based on less exhaustive surveys of chondrules.

CommentsAccepted to Meteoritics and Planetary Science

论文原文

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