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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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Towards composite spheres as building blocks for structured molecules.

Lloyd L Lee1, Giuseppe Pellicane

  • 1Department of Chemical & Materials Engineering, California State University, Pomona, CA, USA. School of Chemistry and Physics, University of Kwazulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africa.

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Summary

We introduce a flexible composite-sphere model to build molecular structures. This model accurately predicts molecular properties using the Ornstein-Zernike equation and zero-separation closure, validated by simulations.

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Area of Science:

  • Physical Chemistry
  • Computational Chemistry
  • Materials Science

Background:

  • Designing accurate molecular models is crucial for understanding chemical systems.
  • Existing models may lack flexibility in representing diverse molecular structures and interactions.
  • Developing theoretical frameworks that can predict molecular behavior is an ongoing challenge.

Purpose of the Study:

  • To propose a novel 'composite-sphere' model for constructing flexible molecular structures.
  • To integrate this model with the Ornstein-Zernike (OZ) equation for theoretical analysis.
  • To validate the model's predictive capabilities through comparison with simulation data.

Main Methods:

  • Developed a 'composite-sphere' model mimicking polyatomic molecules through monomer-like assembly.
  • Preserved spherical symmetries in pair potentials for application of the isotropic Ornstein-Zernike equation.
  • Utilized the zero-separation (ZSEP) closure to solve the OZ equations for multi-component mixtures.
  • Simulated a dumbbell molecule formation from hard and square-well spheres, and a Janus-like molecule.

Main Results:

  • The composite-sphere model successfully generated target molecular structures, including dumbbell and Janus-like molecules.
  • Calculations using the OZ equation with ZSEP closure accurately predicted structural and thermodynamic properties.
  • Results showed close agreement with Monte Carlo simulations across various densities and isotherms.

Conclusions:

  • The composite-sphere model offers a flexible and effective approach to molecular modeling.
  • The Ornstein-Zernike equation with ZSEP closure provides a reliable theoretical framework for this model.
  • This methodology advances the ability to simulate and understand complex molecular systems.