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Hybridization of Atomic Orbitals I03:24

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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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The chair conformation is the most stable form of cyclohexane due to the absence of angle and torsional strain. The absence of angle strain is a result of cyclohexane’s bond angle being very close to the ideal tetrahedral bond angle of 109.5° in its chair conformer. Similarly, the torsional strain is also absent owing to the perfectly staggered arrangement of bonds.
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Neutral hydrocarbons like cyclopentadiene with an odd number of carbon atoms and one intervening CH2 group in the ring are not aromatic. Cyclopentadiene with 4 π electrons does not satisfy the 4n + 2 π electron rule. Additionally, the intervening CH2 group is sp3 hybridized and lacks a vacant p orbital, thereby interrupting the overlap of p orbitals in a continuous manner and preventing the delocalization of π electrons throughout the ring.
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Cycloheptatriene is a neutral monocyclic unsaturated hydrocarbon that consists of an odd number of carbon atoms and an intervening sp3 carbon in the ring. The three double bonds in the ring correspond to 6 π electrons, which is a Huckel number, and therefore satisfies the criteria of 4n + 2 π electrons. However, the intervening sp3 carbon disrupts the continuous overlap of p orbitals. As a result, cycloheptatriene is not aromatic.
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This lesson discusses the stability of substituted cyclohexanes with a focus on energies of various conformers and the effect of 1,3-diaxial interactions.
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According to the molecular orbital (MO) model, benzene has a planar structure with a regular hexagon of six sp2 hybridized carbons. As shown in Figure 1, each carbon is bonded to three other atoms with C–C–C and H–C–C bond angles of 120°. The C–H bond length is 109 pm, and the C–C bond length is 139 pm which is midway between the single bond length of sp3 hybridized carbons (154 pm) and sp2 hybridized carbons (133 pm).
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Isolating Free Carbenes, their Mixed Dimers and Organic Radicals
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A Stable Open-Shell Polycyclic Hydrocarbon With Schlenk-Chichibabin Hybrid Conjugation.

Qing Jiang1, Zhonghao Gui1, Xiaojing Fang2

  • 1College of Chemistry and Bioengineering, Hunan University of Science and Engineering, Yongzhou, China.

Angewandte Chemie (International Ed. in English)
|May 4, 2026
PubMed
Summary

Researchers synthesized a novel tetraradicaloid system, a type of open-shell polycyclic hydrocarbon, for advanced organic electronics. This new material exhibits unique spin properties and adjustable electronic characteristics.

Keywords:
DFT calculationsaromaticitydiradical characterpolycyclic hydrocarbonstetraradicaloid

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Area of Science:

  • Organic Chemistry
  • Materials Science
  • Quantum Chemistry

Background:

  • Open-shell polycyclic hydrocarbons (PHs) are crucial for organic electronics and spintronics.
  • Designing and synthesizing PHs with complex spin interactions presents a significant synthetic challenge.

Purpose of the Study:

  • To develop a novel tetraradicaloid system by integrating Schlenk and Chichibabin hydrocarbon motifs.
  • To investigate the electronic and spin properties of the new system and its model compounds.

Main Methods:

  • Synthesis of the tetraradicaloid system (1) and model compounds (2 and 3).
  • Experimental characterization (e.g., spectroscopy, electrochemistry).
  • Theoretical calculations (e.g., DFT) to analyze electronic structure and spin states.

Main Results:

  • System 1 exhibits an open-shell singlet ground state with moderate tetraradical character.
  • All studied systems show significant open-shell diradical character, small singlet-triplet gaps, and amphoteric redox behavior.
  • The electronic structures of the dianions of 2 and 3 are analogous to pentacene and heptaphane, respectively.

Conclusions:

  • The novel tetraradicaloid system bridges the electronic properties of Schlenk and Chichibabin hydrocarbons.
  • This research advances the design principles for open-shell PHs with tunable electronic properties.
  • The findings offer new avenues for developing advanced molecular materials for electronics and spintronics.