双语化学辞典Chem Lexicon
本科Undergraduate 酶动力学、结合与生物能学 Enzyme kinetics, binding & bioenergetics

生化标准态自由能 ΔG°′Biochemical standard free energy ΔG°′

\[\Delta G^{\circ\prime} = \Delta G^\circ + \nu_{\mathrm{H^+}}RT\ln 10^{-7},\qquad \Delta G = \Delta G^{\circ\prime} + RT\ln Q'\]

含义Meaning

生化标准态取 pH 7、水的活度为 1、[Mg²⁺] 等按约定给定;有 H⁺ 生成的反应在 pH 7 下比化学标准态(pH 0)更有利。

The biochemical standard state fixes pH 7 and water activity 1; reactions releasing H⁺ are more favourable at pH 7 than at the chemical standard (pH 0).

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(\Delta G^{\circ\prime}\)生化标准吉布斯自由能变biochemical standard Gibbs energy changekJ·mol⁻¹
\(\nu_{\mathrm{H^+}}\)H⁺ 的计量数(生成为正)stoichiometric number of H⁺ (positive if produced)1
\(Q'\)不含 H⁺ 与 H₂O 的反应商reaction quotient excluding H⁺ and H₂O1

推导Derivation

  1. 对生成 \(\nu\) 个 H⁺ 的反应,\(\Delta G = \Delta G^\circ + RT\ln Q\),Q 中含 \(a_{\mathrm{H^+}}^{\nu}\)。

    For a reaction producing \(\nu\) H⁺, Q contains \(a_{\mathrm{H^+}}^{\nu}\).

  2. 把 \(a_{\mathrm{H^+}} = 10^{-7}\) 的贡献并入标准值:\(\Delta G^{\circ\prime} = \Delta G^\circ + \nu RT\ln 10^{-7} = \Delta G^\circ - 39.9\nu\ \mathrm{kJ/mol}\)(25 °C)。

    Absorb \(a_{\mathrm{H^+}} = 10^{-7}\) into the standard value: \(\Delta G^{\circ\prime} = \Delta G^\circ - 39.9\nu\) kJ/mol at 25 °C.

  3. 水作为溶剂活度取 1,不出现在 Q′ 中。

    Water, as solvent, has activity 1 and is omitted.

适用条件与局限Assumptions & limitations

  • \(\Delta G^{\circ\prime}\) 还依赖离子强度和 [Mg²⁺](ATP 以 Mg·ATP 形式存在);表中数值需注明条件。

    Also depends on ionic strength and [Mg²⁺]; tabulated values must state conditions.

  • 细胞内实际 \(\Delta G\) 取决于真实浓度,可与 \(\Delta G^{\circ\prime}\) 相差很大。

    Actual cellular \(\Delta G\) depends on real concentrations and can differ greatly.