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Research:
Peter wrote an algorithm to optimize the intermolecular potential parameters for the H2O-N2 collision system and created a network of PC computers that computed the Complex Robert-Bonamy half-width and line shift parameters as a function of temperature to compare with measured values. Typical calculations were about 4 days per iteration of the least-squares algorithm. The optimization of the parameters took rorghly 2 months of computation. Due to the algorithm we were able to accomplish this task.
Peter was also involved in the study of the modified Robert-Bonamy formalism, which compared the new expressions of Ma et al. to those of Robert and Bonamy for a number of collision systems: H2O- H2O, H2O-N2, H2O-O2, O3-N2, O3-O2, CH4-N2, and CH4-O2.
For a short description of the CRB formalism click here
Robert R. Gamache, Peter R. Gamache and Bobby Antony, "NON-LINEAR LEAST-SQUARES ADJUSTMENT OF THE INTERMOLECULAR POTENTIAL PARAMETER FOR THE H2O-N2 SYSTEM" paper L6, The 19th International Conference on High Resolution Molecular Spectroscopy, Prague, Czech Republic, August 29 - September 2, 2006
Bobby Antony, Peter Gamache, Robert R. Gamache, and Jean-Michel Hartmann, "The roles of the S1 and S2 scattering matrix terms on half-widths and their temperature dependence for the water vapor-nitrogen system," 18th International Conference on Spectral Line Shapes, Auburn University, Auburn, Alabama, June 4-9, 2006
Peter Gamache, Frank P Colby Jr and Robert R. Gamache, "ADJUSTING THE H2O-N2 INTERMOLECULAR POTENTIAL FOR LINE SHAPE CALCULATIONS USING MEASURED DATA VIA A NON-LINEAR LEAST SQUARE FITTING TECHNIQUE," The Ninth Annual Student Research Symposium, University of Massachusetts Lowell, Lowell, MA
Bobby Antony, Peter Gamache, Carlos Szembek, Danielle Niles, and Robert R. Gamache, Modified complex Robert-Bonamy formalism calculations for strong to weak interacting systems, 19th Colloquium on High Resolution Molecular Spectroscopy, 11-16 September, 2005, Salamanca, Spain
Peter Gamache, Frank Colby, Robert Gamache, "Corrections to the Robert-Bonamy Formalism in Applying the Linked Cluster Theorem," The Eighth Annual Student Research Symposium, University of Massachusetts Lowell, Lowell, MA
Publications
Robert R. Gamache, Bobby K. Antony, Peter R. Gamache, and Jean-Michel Hartmann, "The roles of the S1 and S2 scattering matrix terms on half-widths and their temperature dependence for the water vapor - nitrogen system," p. 351-354, in Spectral Line Shapes, ed. E. Oks and M. Pindzola, AIP Conference Proceedings, Vol. 874, Melville, NY, 2006. PDF preprint
Bobby Antony, Peter Gamache, Carlos Szembek, Danielle Niles, and Robert R. Gamache, "Modified complex Robert-Bonamy formalism calculations for strong to weak interacting systems," Molecular Physics, 104, 2791-2799, 2006. Article or PDF preprint