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Rotational averaging of multiphoton absorption cross sections.

Daniel H Friese1, Maarten T P Beerepoot1, Kenneth Ruud1

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This study introduces a new method for rotational averaging of multiphoton absorption cross sections. It provides the first explicit equations for averaging five-, six-, and seven-photon absorption, enabling calculations for higher-order properties.

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Area of Science:

  • Theoretical Chemistry
  • Quantum Chemistry
  • Spectroscopy

Background:

  • Rotational averaging of tensors is essential for calculating molecular properties in isotropic media.
  • Existing methods for rotational averaging are limited in scope and applicability.
  • Higher-order multiphoton absorption processes are complex to model theoretically.

Purpose of the Study:

  • To develop a generalized scheme for the rotational averaging of multiphoton absorption cross sections.
  • To extend rotational averaging to arbitrary-order even-rank tensors.
  • To derive explicit equations for higher-order multiphoton absorption cross sections.

Main Methods:

  • Extension of existing rotational averaging literature for tensors.
  • Derivation of new equations based on the number of photons involved.
  • Application to even-rank tensors using linearly polarized light.

Main Results:

  • A scheme for rotational averaging of multiphoton absorption cross sections is presented.
  • Explicit expressions for the rotational average of five-, six-, and seven-photon absorption cross sections are derived.
  • The method is applicable to any even-rank tensor with linearly polarized light.

Conclusions:

  • The derived equations are crucial for calculating higher-order absorption properties.
  • This work facilitates theoretical studies of complex molecular interactions with light.
  • The findings are broadly applicable in fields utilizing multiphoton spectroscopy.