双语化学辞典Chem Lexicon
高中Senior high 化学计量与基本定律 Stoichiometry & basic laws

原子经济性Atom economy

\[\mathrm{AE} = \frac{M_{\text{目标产物}}}{\sum \nu_i M_{\text{反应物},i}}\times 100\%\]\[\mathrm{AE} = \frac{M_{\text{desired product}}}{\sum \nu_i M_{\text{reactants},i}}\times 100\%\]
E 因子(Sheldon)E-factor (Sheldon)
\[E = \frac{m_{\text{废物}}}{m_{\text{产物}}}\]\[E = \frac{m_{\text{waste}}}{m_{\text{products}}}\]

含义Meaning

按化学计量式,目标产物质量占全部反应物质量的比例。绿色化学的核心指标之一(Trost,1991)。

From the balanced equation, the fraction of reactant mass that ends up in the desired product — a core green-chemistry metric (Trost, 1991).

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(\nu_i\)化学计量数stoichiometric coefficient1
\(M\)摩尔质量molar massg·mol⁻¹
\(E\)E 因子:每千克产物产生的废物千克数E-factor: kg waste per kg product1

推导Derivation

  1. 写出配平方程式,所有反应物的总质量 \(\sum\nu_iM_i\) 等于全部产物总质量(质量守恒)。

    From the balanced equation, total reactant mass \(\sum\nu_iM_i\) equals total product mass.

  2. 其中只有目标产物的部分是“有用”的,取其比值。

    Only the desired product’s share is useful; take the ratio.

  3. 加成、重排反应 AE = 100%;取代、消除反应必然产生副产物,AE < 100%。

    Additions and rearrangements have AE = 100 %; substitutions and eliminations always produce by-products.

适用条件与局限Assumptions & limitations

  • 只看计量式,不考虑产率、溶剂、催化剂、后处理产生的废物;实际评价应结合产率和 E 因子。

    Ignores yield, solvents, catalysts and work-up waste; combine with yield and E-factor.

  • 不反映毒性和能耗。

    Says nothing about toxicity or energy use.

例题Worked example

乙烯与水加成制乙醇 AE = 100%;溴乙烷与 NaOH 取代:AE = 46/(109+40) = 31%。

Ethene + water → ethanol: AE = 100 %. Bromoethane + NaOH → ethanol: AE = 46/(109 + 40) = 31 %.