双语化学辞典Chem Lexicon
本科Undergraduate 化学动力学 Chemical kinetics

平行反应Parallel (competing) reactions

\[\mathrm A \xrightarrow{k_1} \mathrm B,\ \ \mathrm A \xrightarrow{k_2} \mathrm C:\qquad [\mathrm A] = [\mathrm A]_0e^{-(k_1+k_2)t},\qquad \frac{[\mathrm B]}{[\mathrm C]} = \frac{k_1}{k_2}\]

含义Meaning

同一反应物同时经两条途径反应。产物比在整个反应中恒等于速率常数之比(动力学控制),可通过温度、催化剂改变选择性。

One reactant reacts by two routes at once. The product ratio stays equal to the rate-constant ratio throughout (kinetic control); temperature and catalysts tune selectivity.

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(k_1, k_2\)两条途径的速率常数rate constants of the two channelss⁻¹

推导Derivation

  1. \(-d[\mathrm A]/dt = (k_1 + k_2)[\mathrm A]\),总的一级衰减。

    A decays with k₁ + k₂.

  2. \(d[\mathrm B]/dt : d[\mathrm C]/dt = k_1 : k_2\),积分后比值不变。

    Formation rates are in the ratio k₁ : k₂.

  3. 选择性随温度:\(\ln(k_1/k_2) = \ln(A_1/A_2) - (E_1 - E_2)/RT\);升温有利于活化能较大的途径。

    Heating favours the channel with higher Ea.

适用条件与局限Assumptions & limitations

  • 若产物可相互转化,长时间后转为热力学控制(产物比 = 平衡常数)。

    If products interconvert, thermodynamic control takes over at long times.

例题Worked example

1,3-丁二烯加 HBr:−80 °C 主要得 1,2-加成产物(动力学控制),40 °C 主要得 1,4-产物(热力学控制)。

HBr + butadiene: 1,2-adduct at −80 °C (kinetic), 1,4-adduct at 40 °C (thermodynamic).