双语化学辞典Chem Lexicon
概念 · 基本概念 · 原子结构 Fundamentals · Atomic structure

相对原子质量Relative atomic mass

高中High school
拼音 xiāng duì yuán zǐ zhì liàng 别名 原子量;atomic weight; standard atomic weight旧称 / 异名 原子量; atomic weight常见误译 原子质量(原子质量是单个原子的真实质量(kg 或 u);相对原子质量是无单位的比值) (atomic mass is the actual mass of one atom (kg or u); relative atomic mass is a dimensionless ratio)

定义Definition

相对原子质量是某元素一个原子的平均质量与一个 ¹²C 原子质量的 1/12 之比,符号 Ar,没有单位。它是该元素各天然同位素的相对同位素质量按丰度计算的加权平均值。

Relative atomic mass, Ar, is the ratio of the average mass of one atom of an element to one-twelfth of the mass of a ¹²C atom; it has no units. It is the abundance-weighted mean of the relative isotopic masses of the element's naturally occurring isotopes.

由同位素丰度计算Calculating from isotope abundances

Ar = Σ(相对同位素质量 × 丰度) ÷ 100。例如硼含 19.9% ¹⁰B 和 80.1% ¹¹B,Ar = (10 × 19.9 + 11 × 80.1) ÷ 100 = 10.8。同位素的质量和丰度可由质谱仪测得:质谱图上每个峰的位置给出 m/z,峰高给出相对丰度。

Ar = Σ(relative isotopic mass × abundance) ÷ 100. Boron, 19.9% ¹⁰B and 80.1% ¹¹B, gives Ar = (10 × 19.9 + 11 × 80.1) ÷ 100 = 10.8. Isotopic masses and abundances come from a mass spectrometer: each peak's position gives m/z and its height the relative abundance.

相关的量Related quantities

相对分子质量 Mr 等于分子中各原子相对原子质量之和,如 Mr(H₂O) = 2 × 1.0 + 16.0 = 18.0;离子化合物常称相对式量。摩尔质量以 g mol⁻¹ 为单位时,数值与相对原子质量或相对分子质量相等。

Relative molecular mass, Mr, is the sum of the relative atomic masses of the atoms in a molecule: Mr(H₂O) = 2 × 1.0 + 16.0 = 18.0; for ionic compounds the term relative formula mass is used. Molar mass in g mol⁻¹ has the same numerical value as Ar or Mr.

标准的演变How the standard changed

道尔顿最早以氢为 1 编制原子量表,后来化学界改以氧为 16 作标准。由于物理学家用 ¹⁶O、化学家用天然氧,两套数值略有差别。1960–1961 年 IUPAP 和 IUPAC 统一采用 ¹²C = 12 作为基准。因天然同位素组成存在差异,IUPAC 对部分元素(如 H、C、Cl)给出原子量的取值区间。

Dalton's first tables set hydrogen at 1; chemists later used oxygen = 16. Because physicists used ¹⁶O and chemists natural oxygen, two slightly different scales arose. In 1960–1961 IUPAP and IUPAC agreed on ¹²C = 12 as the common standard. Because natural isotopic composition varies, IUPAC now gives ranges for the atomic weights of some elements such as H, C and Cl.

年表Timeline

  • 1805

    道尔顿发表第一张以氢为 1 的原子量表

    Dalton publishes the first table of atomic weights, with hydrogen as 1

  • 1826

    贝采利乌斯发表较精确的原子量表

    Berzelius publishes a more accurate table of atomic weights

  • 1961

    IUPAC 采用 ¹²C = 12 的统一标准

    IUPAC adopts the unified ¹²C = 12 scale

  • 2009

    IUPAC 开始以区间形式给出部分元素的标准原子量

    IUPAC begins giving standard atomic weights of some elements as intervals

相关公式Formulas

相对原子质量 Relative atomic mass→
\[A_r(\mathrm{X}) = \frac{m(\mathrm{X})}{\tfrac{1}{12}\,m(^{12}\mathrm{C})}\]
例题Worked example

氯的两种同位素 ³⁵Cl(75.76%)和 ³⁷Cl(24.24%),加权平均得 Ar(Cl) ≈ 35.45。

Chlorine: ³⁵Cl (75.76 %) and ³⁷Cl (24.24 %) average to Ar(Cl) ≈ 35.45.