Vector correlation analysis for inelastic and reactive collisions between partners possessing spin and orbital...

Area of Science:

• Chemical Physics
• Quantum Mechanics
• Molecular Dynamics

Background:

• Reactive collisions (A + B --> C + D) can involve complex angular momenta (spin, orbital, rotational) in reactants and products.
• Understanding product angular momentum anisotropy is crucial for deciphering collision dynamics.

Purpose of the Study:

• To derive compact quantum mechanical expressions for product angular momentum anisotropy in reactive collisions.
• To introduce anisotropy-transforming coefficients that link reactant and product angular momentum distributions.
• To reveal a new conservation rule governing angular momentum projections.

Main Methods:

• Rigorous quantum mechanical analysis of reactive collisions.
• Development of expressions involving canonical spherical tensors and anisotropy-transforming coefficients.
• Utilizing projections of angular momenta onto the product recoil vector.

Main Results:

• Compact expressions for product angular momentum anisotropy derived.
• Anisotropy-transforming coefficients identified as key transformation parameters between reactant and product angular momentum distributions.
• A novel conservation rule established: reactant angular momentum projection onto the recoil vector dictates product angular momentum projections.
• Relationship between coefficients and scattering S matrix elucidated.

Conclusions:

• The derived anisotropy-transforming coefficients provide a powerful tool for analyzing and predicting angular momentum distributions in reactive collisions.
• These coefficients are experimentally measurable, analogous to vector correlation and alignment parameters.
• The newly discovered conservation rule offers fundamental insights into the quantum mechanical behavior of angular momentum during chemical reactions.