杂化轨道成键能力及夹角计算公式的简洁推导

杂化轨道理论是化学键理论的重要内容,杂化轨道成键能力和杂化轨道之间的夹角是杂化轨道理论教学的重点和难点,多数教材通常直接给出相关公式,忽略导出过程,不能满足部分学生进阶学习的需要。本文给出了相关公式的简易推导,以期解疑释惑,加深学生对杂化轨道理论的认识和理解。     

直键与弯键的对称性判据

一穹键的提出人们认为,杂化轨道(HAO)角函数的最大值方向(亦即HAO的方向)指向与之键合的原子,这样形成的化学键称为“直键”。但环丙烷分子中的三个碳原子构成三元环,有60°的键角。而任意两个正交的S-P杂化轨道之间的夹角θ都不可能小于90°,因而形成C-C键的HAO,不可能指向键合原子,环上的C-C键不可能是直键,而是“弯键”(BentBond)。通常,人们认为张力分子环上的键是弯键,其他的键为直键。     

杂化轨道理论的进展

一、引言30年代初,Pauling 认为用原子轨道描述分子中的电子不能反映分子的键角特征。为了解决化学键的方向性问题,他引入原子轨道杂化的概念,根据各种分子的特点运用 Lagrange乘因子法得到,sP、sP~2、sP~3、和 d~2sP~3等杂化轨道。1932年 Hultgren 提出杂化轨道绕键轴是圆柱     

钼原子间多重键的杂化轨道研究

本文对一些含Mo-Mo原子间多重键的分子或离子进行了研究,分析了它们的电子结构和化学键提出其原子杂化轨道的形式,揭示了过渡金属原子间多重键的结构特征。     

三氧化硫分子成键的共价键理论系统解析

采用价层电子对互斥理论、价键理论、杂化轨道理论、分子轨道理论等共价键理论对三氧化硫分子各种成键的可能进行了推演,比较系统地分析了SO3分子的共价成键情况,得出SO3分子中的S原子采取sp2杂化,分子中存在正常σ键、配位σ键以及一个离域大π键的结论。     

Ni(110)-p2mg(2×1)-CO表面的几何结构和电子态

利用密度泛函理论(DFT)总能计算研究了Ni(110)-p2mg(2×1)-CO表面的原子结构和电子态. 计算结果表明: CO分子吸附于该表面的短桥位附近, 分子吸附能为1.753 eV, CO分子的键长dC—O为0.117 nm, 分子与表面竖直方向的夹角为20.0°, 碳原子和短桥位中点的连线与竖直方向的夹角为20.9°; 吸附的CO分子内原子间的伸缩振动频率为1876和1803 cm-1. 态密度研究结果表明吸附作用主要来自CO分子π、σ轨道与衬底d轨道间的杂化作用. CO分子σ轨道和衬底表面镍原子dxz轨道杂化形成的表面电子态主要位于费米能以下-10.4 至-8.8 eV和-7.4至-5.1 eV 范围内. σ和dxz轨道间的杂化作用可能是形成p2mg表面对称性的重要因素之一.     

成键能力大的杂化轨道形成共价键的键能也大吗?

在我们的许多教科书中,当讲到原子轨道杂化的原因时,都是这样叙述的:杂化轨道具有更强的方向性,伸展得更远,可以与其他原子的原子轨道进行更大程度的重迭,从而提高成键能力,形成更牢固的化学键,使分子更加稳定。于是给学生形成了这样一个“基本概念”,“杂化轨道的成键能力越大,形成的共价键键能     

NO_2的分子结构

众所周知,NO_2是角形分子,具有顺磁性.但是,对分子中单电子是在中心原子N的未成键的σ轨道上还是在大π键轨道上至今仍然没有统一的看法.大多数的教材和文献上目前比较一致的看法是,N原子采取sp~2杂化或介于sp杂化和sp~2杂化之间,分子中有二个σ键和一个П_3~3大π键,单电子占据大π键轨道     

卤代硅烷分子的杂化轨道及结构与性质的关系研究

本文利用最大重迭方法,在分别考虑卤素配体的杂化及中央原子Si的d轨道杂化的基础上,计算了卤代硅烷系列分子实验构型下的杂化轨道,研究了卤代硅烷分子的NMR自旋偶合常数,IR伸缩频率和基团电负性与轨道成份的关系,较明确地反映了这类分子的化学键性质对分子谱学性质的影响。     

定域分子轨道重心和分子结构的关系

本文讨论了定域分子轨道（ＬＭＯ）的重心和分子中化学键之间的关系，建立了利用定域分子轨道重心判断分子中成键情况及其化学键类型的方法，进而在ａｂ ｉｎｉｔｉｏ所得正则分子轨道（ＣＭＯ）定域化的基础上，计算了一些常见分子的ＬＭＯ重心；由此讨论了这些分子的化学键性质及其成键规律，探讨了一些化合物的反应性能。     

二氧化碳和丙烯直接合成甲基丙烯酸的NiPMo/TiO2催化剂的研究

用溶胶-凝胶法以磷钼酸(MPA)的镍盐溶液水解钛酸四丁酯制备了NiPMo/TiO2催化剂.使用ICP、 XRD、 TG-DTA、 IR、 TPD-MS和微反应技术研究了催化剂的化学组成、热稳定性、化学吸附性质和催化反应性能.杂多钼酸盐与TiO2通过O2-在TiO2表面发生了键合.在623 K下,杂多阴离子仍保持原有的Keggin结构.CO2在Lewis酸位Ni(Ⅱ)和Lewis碱位Ni-O-Mo的桥氧协同作用下生成CO2卧式吸附态Ni(Ⅱ)←O-(CO)←(O--Ni).丙烯有多种吸附态在催化剂上吸附.在563 K、 1 MPa和空速1500 h-1的反应条件下,丙烯的摩尔转化率为3.2%,产物MAA选择性为95%.     

α-Amino acid derived enaminones and their application in the synthesis of N-protected methyl 5-substituted-4-hydroxypyrrole-3-carboxylates and other heterocycles

A new and simple synthesis of novel N-protected methyl 5-substituted-4-hydroxypyrrole-3-carboxylates, which exist in equilibrium with their 4-oxo tautomers, has been developed in two steps starting from N-protected α-amino acids. The key intermediates are enaminones, which can also be isolated, characterized, and used for the construction of other functionalized heterocycles, before they spontaneously decompose to pyrrole products. 4-Hydroxypyrroles are prone to partial aerial oxidation but can be efficiently alkylated or reduced to stable polysubstituted pyrrolidine derivatives.     

Specific intramolecular aromatic CH insertion of diazosulfonamides

The chemoselectivity in the intramolecular CH insertion of various diazosulfonamides has been experimentally studied. The results reveal that the aliphatic 1,4-, 1,5-, or 1,6-C(sp³)?H insertions of diazosulfonamides are not accessible, while the aromatic 1,5-C(sp²)?H insertion can be realized specifically by adjusting the diazo-adjacent group. In addition, the general chemoselectivities in the intramolecular CH insertions of diazosulfonyl compounds are summarized. Generally, diazosulfones undergo both aromatic 1,5-C(sp²)?H and aliphatic 1,5- and 1,6-C(sp³)?H insertions, while diazosulfonates undergo aliphatic 1,5- and 1,6-C(sp³)?H insertions. However, diazosulfonamides only undergo aromatic 1,5-C(sp²)?H insertion.     

CoFe2O4自形成磁性液体场致结构化对磁化的影响

The Langevin paramagnetic theory can’t describe the relation between magnetization of ferrofluids and applied magnetic field. The structuralization of ferrofluids, which is considered the main influence factor of the magnetization, is regarded. The part of magnetization works is deposited when the structure is forming. This action influences the magnetization of ferrofluids directly or indirectly. On the base of the “compressing” model, the Langevin function that usually describes the magnetization of ferrofluid is modified, and a well-fitted curve is obtained. An equation of the relation between the equivalent volume fraction after being “compressed” and the intensity of magnetic field is discovered, which approximately describes the process of magnetization. The relation between the approximate initial susceptibility and the volume fraction can be obtained from modified formula.     

Highly regioselective Buchwald–Hartwig amination at C-2 of 2,4-dichloropyridine enabling a novel approach to 2,4-bisanilinopyridine (BAPyd) libraries

The highly regioselective Buchwald–Hartwig amination at C-2 of the cheap and readily accessible reagent, 2,4-dichloropyridine with a range of anilines and heterocyclic amines is described. This new methodology is robust and provides a facile access to 4-chloro-N-phenylpyridin-2-amines on 0.25 mol scale. These intermediates undergo a further Buchwald–Hartwig amination at higher temperature to enable rapid exploration of the chemical space at C-4 and to provide a library of 2,4-bisaminopyridines.     

N-Heterocyclic carbene-palladacyclic complexes: synthesis,characterization and their applications in the C-N coupling and α-arylation of ketones using aryl chlorides

N-Heterocyclic carbene-palladacyclic complexes 3 were successfully achieved in a one-pot procedure under mild conditions. The structure of 3a was unambiguously confirmed by X-ray single crystal diffraction and it was an active catalyst in the Buchwald-Hartwig amination and α-arylation of ketones even at very low catalyst loadings (0.01?mol%).     

Iodine-mediated oxidative Pictet-Spengler reaction using terminal alkyne as the 2-oxoaldehyde surrogate for the synthesis of 1-aroyl-β-carbolines and fused-nitrogen heterocycles

An efficient iodine-mediated oxidative Pictet-Spengler reaction in dimethyl sulphoxide (DMSO) using terminal alkynes as the 2-oxoaldehyde surrogate for the synthesis of aryl (9H-pyrido[3,4-b]indol-1-yl)methanones is described. The scope of the protocol includes the total synthesis of Fascaplysin, Eudistomins Y₁ and Y₂. The methodology is extended for preparing pyrrolo[1,2-a]-quinoxaline and indolo[1,5-a]quinoxaline derivatives. The utility of 1-aroyl-β-carbolines was demonstrated by performing palladium-catalyzed β-carboline directed ortho-C(sp2)-H functionalization of the phenyl ring with thiomethyl (SMe) group using DMSO as source and for accessing 4-aryl-canthin-6-ones.     

Facile synthesis of bicyclic 1-arylpyrazol-5-ones

In this Letter, we described a facile method for constructing fused bicyclic 1-arylpyrazol-5-one ring system. We employed various methylene-containing carboxylic acids as the substrates and proved that the pyrazolone ring closure requires activated methylene group in intermediate II. Accordingly, a series of structurally diversified, fused bicyclic 1-arylpyrazol-5-ones was prepared in moderate to high yields using the requisite substrates.     

Sulfur-directed metal-free and regiospecific methyl C(sp3)–H imidation of thioanisoles

Regiospecific and direct imidation of the methyl C(sp³)–H bond of thioanisoles is realized under mild and metal-free conditions with N-fluorobis(benzenesulfonyl)imide as an oxidant and nitrogen source. Proposed mechanism suggests that thionium ion intermediates and a Pummerer-type reaction are involved. The imidation has advantages such as high step-economy, excellent functionality tolerance, and regiospecificity, giving structurally diverse imidation products.