论文标题

关于将恒星质量分数转换为丰度与摩尔比的简明论文

A Concise Treatise on Converting Stellar Mass Fractions to Abundances to Molar Ratios

论文作者

Hinkel, Natalie R., Young, Patrick A., Wheeler III, Caleb H.

论文摘要

了解恒星组成不仅是我们对银河系的理解,尤其是化学演化的基础,而且还可以揭示外科行星的内部结构和矿物学,这些结构和矿物学是由与宿主恒星相同的材料形成的。不幸的是,描述出色的质量分数和恒星元素丰度的基本数学很难解析,在文献中分散,并且包含令人沮丧的遗漏,这些遗漏使任何计算都毫无疑问,尤其是对于非专家而言。在这篇论文中,我们介绍了明确的数学形式主义,并阐明了恒星组成测量中固有的假设和归一化的固定假设,这有助于从恒星质量分数到元素丰度到摩尔比的转化,包括误差传播。我们还提供了髋关节544的示例案例研究,以进一步说明提供的方程式。鉴于恒星之间的重要化学关联,以及恒星与行星之间的跨学科关系,至关重要的是,在不同的子场和科学学科中,恒星质量分数和丰度数据更加透明,并且可以访问。

Understanding stellar composition is fundamental not only to our comprehension of the galaxy, especially chemical evolution, but it can also shed light on the interior structure and mineralogy of exoplanets, which are formed from the same material as their host stars. Unfortunately, the underlying mathematics describing stellar mass fractions and stellar elemental abundances is difficult to parse, fragmented across the literature, and contains vexing omissions that makes any calculation far from trivial, especially for non-experts. In this treatise, we present clear mathematical formalism and clarification of inherent assumptions and normalizations within stellar composition measurements, which facilitates the conversion from stellar mass fractions to elemental abundances to molar ratios, including error propagation. We also provide an example case study of HIP 544 to further illustrate the provided equations. Given the important chemical association between stars, as well as the interdisciplinary relationship between stars and their planets, it is vital that stellar mass fractions and abundance data be more transparent and accessible to people within different sub-fields and scientific disciplines.

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