What is the rotation matrix and R the Euler?

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SUMMARY

The discussion centers on the rotation matrix and Euler angles as they pertain to the ionization rate of molecules using the ADK method. The reference to PHYSICAL REVIEW A, 66, 033402 (2002) is crucial for understanding the relationship between the molecular axis and the field vector. The transformation matrices for Euler angles are outlined in the provided Wikipedia link, which serves as a foundational resource for comprehending these concepts. The specific Euler angles discussed include the angle and dihedral angle relevant to molecular interactions.

PREREQUISITES
  • Understanding of the ADK method for ionization rate analysis
  • Familiarity with Euler angles and their applications in molecular physics
  • Knowledge of transformation matrices in three-dimensional space
  • Basic concepts of molecular axis orientation and field vector interactions
NEXT STEPS
  • Study the transformation matrices for Euler rotations in detail
  • Explore the implications of Euler angles in molecular dynamics simulations
  • Research the ADK method and its applications in quantum mechanics
  • Examine the specific findings in PHYSICAL REVIEW A, 66, 033402 (2002) regarding molecular ionization
USEFUL FOR

Researchers in molecular physics, physicists studying ionization processes, and students learning about the application of Euler angles in molecular dynamics will benefit from this discussion.

peggy
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Hello every one, I am a new comer.

During my research of ionization rate of molecule using ADK method, I meet a question.

What is the rotation matrix and R the Euler angles between the molecular axis (in Eq. (8) of reference PHYSICAL REVIEW A, 66, 033402 (2002)) and what form is the rotation matrix?
 
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alxm said:
Well the http://en.wikipedia.org/wiki/Euler_angles#Matrix_expression_for_Euler_rotations" on Euler angles has the transformation matricies right there.

Since that article seems to be about diatomics (didn't read the whole thing), I'd assume the Euler angles in question are the angle and dihedral angle between the field vector and the molecular axis.

Thank very much, I will read carefully!
 
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