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Franck-Condon Factors to High Quantum Numbers VI: C2 Band Systems.

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Franck-Condon factors were numerically computed for C2 band systems. These arrays provide insights into molecular transitions up to the highest known vibrational quantum numbers.

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Area of Science:

  • Molecular Spectroscopy
  • Quantum Mechanics
  • Computational Chemistry

Background:

  • Franck-Condon factors are crucial for understanding the intensities of vibronic transitions in molecules.
  • Accurate computation of these factors requires detailed knowledge of molecular potential energy surfaces and wavefunctions.
  • Previous studies may have limited the scope of computed Franck-Condon factors due to computational constraints.

Purpose of the Study:

  • To numerically compute Franck-Condon factor arrays for specific C2 band systems.
  • To extend these computations to the highest currently known vibrational quantum numbers.
  • To provide a comprehensive dataset for analyzing C2 molecular spectra.

Main Methods:

  • Numerical computation of Franck-Condon factors.
  • Utilizing accurate molecular potential energy curves for C2.
  • Employing numerical methods to solve the relevant Schrödinger equations for vibrational wavefunctions.

Main Results:

  • Computed Franck-Condon factor arrays for specified C2 band systems.
  • Data presented up to the highest known vibrational quantum numbers.
  • The arrays facilitate detailed spectral analysis and comparison with experimental data.

Conclusions:

  • The computed Franck-Condon factor arrays are a valuable resource for spectroscopic studies of C2.
  • These numerical results support the interpretation of complex molecular spectra.
  • The methodology can be extended to other diatomic or polyatomic molecules.