双语化学辞典Chem Lexicon
本科Undergraduate 化学键与分子结构 Chemical bonding & molecular structure

鲍林电负性Pauling electronegativity

\[|\chi_\mathrm A - \chi_\mathrm B| = \sqrt{\frac{\Delta}{\mathrm{eV}}},\qquad \Delta = D(\mathrm{A{-}B}) - \sqrt{D(\mathrm{A{-}A})\,D(\mathrm{B{-}B})}\]

含义Meaning

鲍林(1932)发现异核键 A–B 的键能比两同核键键能的平均值大,多出的部分 Δ(离子–共价共振能)随两原子吸电子能力差而增大,由此定义电负性差。规定 χ(F) = 3.98。

Pauling (1932) noticed that A–B bonds are stronger than the mean of A–A and B–B; the excess Δ (ionic–covalent resonance energy) grows with the difference in electron-attracting power and defines Δχ, with χ(F) = 3.98.

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(D\)键解离能bond-dissociation energyeV
\(\Delta\)额外离子共振能extra ionic resonance energyeV

推导Derivation

  1. 若 A–B 是纯共价键,其键能应为两同核键的平均(鲍林原取算术平均,后改几何平均)。

    A purely covalent A–B would have the mean of A–A and B–B.

  2. 实测更大,差值 Δ 来自离子结构 A⁺B⁻ 的共振贡献。

    The measured excess Δ comes from the ionic resonance structure.

  3. 经验发现 \(\Delta \propto (\Delta\chi)^2\),单位 eV 时比例系数约 1(kJ/mol 时为 96.5)。

    Empirically Δ ∝ (Δχ)², with coefficient 1 in eV.

适用条件与局限Assumptions & limitations

  • 只给出相对值;电负性随氧化态、杂化变化(sp 碳比 sp³ 碳电负性大)。

    Relative only; varies with oxidation state and hybridisation.

例题Worked example

H–F:D = 5.86 eV,H–H 4.52、F–F 1.66:Δ = 5.86 − √(4.52×1.66) = 3.12 eV → Δχ = 1.77(表值 3.98 − 2.20 = 1.78)。

H–F: Δ = 3.12 eV → Δχ = 1.77 (tables: 1.78).