确定内部坐标集,以最佳地表示分子振动
Kemal Oenen1, Dennis F Dinu1, Klaus R Liedl1
1Department of General, Inorganic and Theoretical Chemistry, University of Innsbruck, Innrain 80, 6020 Innsbruck, Austria.
The Journal of chemical physics
|January 5, 2024
概括
正常模式描述分子振动,但通常是复杂的. 本研究介绍了一个工具包,以找到最佳的内部坐标,简化振动分析和记号,以便更好地理解分子.
科学领域:
- 计算化学计算化学
- 分子光谱学 分子光谱学
- 量子化学 是一个量子化学.
背景情况:
- 正常模式将分子振动简化为独立的自由度,这对于分析振动光谱和潜在能量表面至关重要.
- 传统的正常模式的笛卡尔坐标表示具有挑战性,特别是在非局部化的振动和清晰的标记方面.
- 内部坐标提供了更直观的表示方式,但为正常模式分析选择最佳集并不简单.
研究的目的:
- 开发一种系统方法来选择正常模式分析的最佳内部坐标.
- 为了提高振动符号的清晰度和描述性.
- 提供一个计算工具,以有效地表示分子振动.
主要方法:
- 使用基于赫森矩阵的正常模式分解方案.
- 选了考虑拓和对称性的潜在内部坐标集.
- 采用了一种度量来最大限度地减少内部坐标之间的合,以获得最佳的集合选择.
- 开发了Nomodeco工具包,用于自动选择内部坐标集.
主要成果:
- 展示了一种用于识别代表分子振动的最佳内部坐标集的方法.
- 展示了Nomodeco工具包如何缩小适合内部坐标集的搜索空间.
- 生成了贡献表,通过将正常模式与内部坐标联系起来来澄清振动符号.
- 成功地将该方案应用于中小型分子.
结论:
- 诺莫德科工具包为选择正常模式分析最佳内部坐标提供了有效的策略.
- 这种方法提高了分子振动的解释性,并简化了振动符号.
- 这种方法比传统的基于笛卡尔坐标的正常模式表示提供了显著的改进.
相关概念视频
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration
1.3K
A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to...
According to Hooke's law, the vibrational frequency is directly proportional to...
1.3K
IR Spectroscopy: Molecular Vibration Overview
2.3K
When Infrared (IR) radiation passes through a covalently bonded molecule, the bonds transition from lower to higher vibrational levels. The fundamental vibrational motions that result in infrared absorption can be classified as stretching or bending vibrations.
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...
2.3K
Molecular Orbital Theory I
32.1K
Overview of Molecular Orbital Theory
32.1K
¹H NMR of Conformationally Flexible Molecules: Temporal Resolution
847
At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
847
MO Theory and Covalent Bonding
10.5K
The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
10.5K
Molecular Models
38.4K
Physical models representing molecular architectures of chemical compounds play essential roles in understanding chemistry. The use of molecular models makes it easier to visualize the structures and shapes of atoms and molecules.
38.4K


