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Dive into the study of water line intensities with a focus on achieving 1% accuracy, using variational methods and multi-reference techniques. Understand the importance, challenges, and solutions for accurate measurements.
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Lorenzo Lodi University College London Department of Physics & Astronomy High-accuracy ab initio water line intensities
Talk summary • Variational methods for vibration-rotation spectra • Electronic structure treatment • Results for water line intensities
What we are aiming at? • Line intensities are extremely important. • They are also difficult to measure accurately. • Aim: accuracy of 1%(for majority lines). • We used the very best level of theory to achieve this goal. • Line intensities likely to be in error can be identified.
General scheme of solution • Born-Oppenheimer approximation. • Solve the electronic problem, obtaining Potential Energy Surface E(R) and Dipole Moment Surface m(R). • Use E(R) for the motion of the nuclei. • From m(R) and nuclear-motion wavefunctions calculate line intensities.
Solving for the nuclear motion • Molecule-fixed, J-dependent effective hamiltonians can be derived. • The resulting 3-dimentional Schrödinger equation can be solved numerically. • An efficient technique to do this is the Discrete Variable Representation method. • Accuracy of line positions and intensities is limited by quality of PES and DMS.
Multi-reference methods • Standard methods such as DFT, MP2 etc are not suitable. • Multi-reference methods are needed. • We used IC-MRCI+Q[8,10], 6Z basis set. • Relativistic effects accounted for.
Equilibrium water dipole From L. Lodi and J. Tennyson, J. Phys. B: At. Mol. Opt. Phys. 43, 133001 (2010)
Fitting the points • Intensities are very sensitive to oscillations in the DMS.
Lisak, Harvey and Hodges • D. Lisak, D. K. Harvey and J.T. Hodges, Phys. Rev. A 79, 052507 (2009) • 15 line intensities between 7170-7183 cm-1 • Declared error of 0.4%.
Lisak, Harvey and Hodges • 15 very accurate lines • One line where theory is consistently stronger by 30% • For the other 14 lines: average 1.01(1)
Ponsardin & Browell • P.L. Ponsardin and E. V. Browell, J. Mol. Spectr. 185, 58-70 (1997) • 40 line intensities around 12,200 cm-1. • Declared error of 2%.
Summary comparison with HITRAN2008 • Total lines analysed: 26,957 • Stable lines: 19,056 • Unstable lines: 7,901 • Average of ratios for stable lines: 1.00(4)
Final words • New high-accurate intensity linelist • Error of 1% in most cases • “Resonant” lines with large errors can be identified