含义Meaning
稳定的有机金属配合物中,金属价层 9 个轨道(5 d + 1 s + 3 p)常被 18 个电子填满,类似主族的八隅律。
Stable organometallics often fill the metal’s nine valence orbitals (5 d, 1 s, 3 p) with 18 electrons — an analogue of the octet rule.
符号说明Symbols
| 符号Symbol | 含义 Meaning | 单位 Unit |
|---|---|---|
| \(N_\text{VE}\) | 价电子总数valence electron count | 1 |
| \(q\) | 配合物总电荷overall charge | 1 |
推导Derivation
金属有 9 个价轨道,与配体组合成 MO 后,成键与非键 MO 共 9 个,反键 MO 能量高。
Nine metal valence orbitals combine with ligands; bonding plus non-bonding MOs number nine.
填满 9 个低能轨道需 18 个电子,再多则进入反键,再少则有空的低能轨道(易被进攻)。
Filling them takes 18 electrons; more go into antibonding orbitals, fewer leave vacant low-lying orbitals.
离子计数法:先定氧化态,d 电子数 = 族号 − 氧化态;常见配体给电子数:CO 2、PR₃ 2、Cl⁻ 2、H⁻ 2、Cp⁻ 6、η⁶-C₆H₆ 6。
Ionic method: d count = group − oxidation state; donors CO 2, PR₃ 2, Cl⁻ 2, H⁻ 2, Cp⁻ 6, η⁶-C₆H₆ 6.
两种计数法结果相同,只是电子归属不同。
Both methods give the same total.
适用条件与局限Assumptions & limitations
平面正方形 d⁸(Rh(I)、Ir(I)、Pd(II)、Pt(II))常为 16 电子;早过渡金属(如 TiCl₄)和高价金属常偏少。
Square-planar d⁸ complexes are often 16-electron; early and high-valent metals often have fewer.
主要适用于强场、π 酸配体的有机金属配合物;经典维尔纳配合物(如 [Ni(H₂O)₆]²⁺ 20 e⁻)不遵守。
Mainly for organometallics with strong-field/π-acid ligands; Werner complexes often break it.
例题Worked example
Fe(CO)₅:Fe 8 + 5×2 = 18。二茂铁:Fe²⁺ d⁶ + 2×6(Cp⁻)= 18。Ni(CO)₄:10 + 8 = 18。
Fe(CO)₅: 8 + 10 = 18. Ferrocene: Fe²⁺ d⁶ + 2 × 6 = 18. Ni(CO)₄: 10 + 8 = 18.