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Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

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sp3d and sp3d 2 Hybridization
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The Quantum-Mechanical Model of an Atom02:45

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Valence Bond Theory and Hybridized Orbitals02:38

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According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
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Molecular Orbital Theory I

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Overview of Molecular Orbital Theory
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Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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関連する実験動画

Updated: Dec 30, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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量子化学の組み込み方法:材料から生命科学への応用

Leighton O Jones1, Martín A Mosquera1, George C Schatz1

  • 1Department of Chemistry , Northwestern University , Evanston , Illinois 60208 , United States.

Journal of the American Chemical Society
|January 29, 2020
PubMed
まとめ
この要約は機械生成です。

量子力学的埋め込み方法は,大きな分子システムに計算コストを削減します. この展望は,QM:MMとQM:QMのアプローチをレビューし,コンピューティング化学のアプリケーションと将来の方向性を強調します.

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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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科学分野:

  • コンピュータ化学
  • 量子力学

背景:

  • 量子力学的な埋め込み方法は 分子計算に革命をもたらします
  • これらの方法は,計算コストを削減し,大規模なシステムのスケーリングを改善することを目的としています.

研究 の 目的:

  • 量子力学的埋め込み方法の分野について見直す.
  • QM:MMとQM:QMのアプローチに焦点を当てて,既存の方法を分類し,レビューする.

主な方法:

  • QM:MMとQM:QMの流れに組み込む方法の分類
  • 文献のレビュー,理論の裏付け,そして著者の貢献.
  • 材料と生命科学における現在の応用を強調する.

主要な成果:

  • QM:MMとQM:QMのメリット・デメリットについて
  • 材料と生命科学を対象とした例を紹介する.
  • 理論を組み込むための将来の見通しと展望を特定する.

結論:

  • 大規模なシステムにおける計算化学の進歩には,埋め込み方法が不可欠です.
  • 組み込み理論のクロス比較のために標準化されたテストケースが推奨されます.
  • この分野は急速に発展しており,将来の発展には大きな可能性を秘めています.