定义Definition
范德华力是分子之间较弱的、与距离密切相关的吸引作用,不涉及共价键或离子键的形成。按 IUPAC 定义,它包括永久偶极之间的取向力、永久偶极与诱导偶极之间的诱导力和瞬时偶极之间的色散力。在许多教材中,“范德华力”专指瞬时偶极–诱导偶极作用,即色散力。
Van der Waals forces are weak, strongly distance-dependent attractions between molecules that do not involve forming covalent or ionic bonds. By the IUPAC definition they include orientation forces between permanent dipoles, induction forces between permanent and induced dipoles, and dispersion forces between instantaneous dipoles. Many textbooks use the term for instantaneous dipole–induced dipole (dispersion) forces only.
色散力的成因Origin of dispersion forces
即使在非极性分子中,电子云也在不停运动,某一瞬间分布不均匀,产生瞬时偶极。这个瞬时偶极使相邻分子的电子云发生极化,产生诱导偶极,两者相互吸引。由于这种作用随时出现、随时消失,又随时重新出现,总效果是一种净吸引力。
Even in a non-polar molecule the electron cloud is constantly moving, and at any instant it may be unevenly spread, creating an instantaneous dipole. This dipole polarises the electron cloud of a neighbouring molecule, inducing a dipole, and the two attract. Because such dipoles keep appearing, vanishing and reappearing, the overall effect is a net attraction.
影响强弱的因素What makes them stronger
分子中电子越多(相对分子质量越大),电子云越容易变形(极化率越大),色散力越强,所以稀有气体和卤素单质的沸点随原子序数增大而升高。分子间接触面积越大,作用越强:直链烷烃的沸点高于其支链异构体。
The more electrons a molecule has (larger Mr), the more easily its electron cloud is distorted (higher polarisability) and the stronger the dispersion forces; this is why the boiling points of the noble gases and halogens rise with atomic number. Larger contact area also strengthens them: straight-chain alkanes boil higher than their branched isomers.
实例Examples
稀有气体能被液化、固态碘升华时吸热,都说明非极性粒子之间存在范德华力。石墨层与层之间靠范德华力结合,所以层间容易滑动。壁虎脚掌上的大量细毛与墙面之间的范德华力足以支撑其体重。
That noble gases can be liquefied, and that iodine absorbs heat when it sublimes, both show van der Waals forces act between non-polar particles. The layers of graphite are held together by van der Waals forces, so they slide over one another easily. The van der Waals forces between the many fine hairs on a gecko's feet and a wall can support its weight.
年表Timeline
- 1873
范德华提出实际气体状态方程,引入分子间吸引
van der Waals proposes his equation of state for real gases, introducing intermolecular attraction
- 1910
范德华获诺贝尔物理学奖
van der Waals receives the Nobel Prize in Physics
- 1921
基索姆给出永久偶极之间取向力的理论
Keesom gives the theory of orientation forces between permanent dipoles
- 1930
伦敦用量子力学解释色散力
London explains dispersion forces with quantum mechanics
相关公式Formulas
例题Worked example
CO₂:a = 0.364 Pa·m⁶/mol²,b = 4.27×10⁻⁵ m³/mol,预测 T_c = 8a/(27Rb) = 304 K(实测 304.1 K)。
CO₂ (a = 0.364, b = 4.27×10⁻⁵): predicted T_c = 304 K (measured 304.1 K).