Collisions of paramagnetic molecules in magnetic fields: An analytic model based on Fraunhofer diffraction of matter waves

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 1, 2009, Pages

  Lemeshko, Mikhail ^a   Friedrich, Bretislav ^a  

^a FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; HELIUM; MAGNETIC FIELDS; MAGNETIC MATERIALS; MAGNETISM; MOLECULES; SCATTERING;

ANALYTIC MODELS; CLOSED-SHELL ATOMS; COLLISION SYSTEMS; CROSS SECTIONS; FIXED FRAMES; FRAUNHOFER; FRAUNHOFER DIFFRACTIONS; INTEGRAL CROSS SECTIONS; INTEGRAL SCATTERING CROSS-SECTIONS; MAGNETIC FIELD PARALLELS; MAGNETIC-FIELD; MATTER WAVES; OPEN-SHELL MOLECULES; PARAMAGNETIC MOLECULES; RADIATIVE FIELDS; RELATIVE VELOCITIES; ROTATIONALLY INELASTIC COLLISIONS; SCATTERING CHAR-ACTERISTICS; STERIC ASYMMETRIES; THERMAL COLLISION ENERGIES;

MAGNETIC FIELD EFFECTS;

EID: 59949092582     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.012718     Document Type: Article

References (50)

1. Eur. Phys. J. D 31, 149 (2004), special issue on cold molecules. 10.1140/epjd/e2004-00151-x
2. J. Phys. B 41, 074001 (2008), special issue on coherent control. 10.1088/0953-4075/41/7/074001
3. Eur. Phys. J. D 38, 3 (2006), special issue on stereodynamics. 10.1140/epjd/e2006-00027-1
4. R. V. Krems and A. Dalgarno, J. Chem. Phys. 120, 2296 (2004). 10.1063/1.1636691
5. H. R. Sadeghpour, J. L. Bohn, M. J. Cavagnero, B. D. Esry, I. I. Fabrikant, J. H. Macek, and A. R. P. Rau, J. Phys. B 33, R93 (2000). 10.1088/0953-4075/33/5/201
6. S. I. Drozdov, Sov. Phys. JETP 1, 591 (1955);
7. S. I. Drozdov, Sov. Phys. JETP 1, 588 (1955).
8. J. S. Blair, in Nuclear Structure Physics, edited by, P. D. Kunz, (The University of Colorado, Boulder, 1966), Vol. VII C, 343-444.
9. M. Faubel, J. Chem. Phys. 81, 5559 (1984). 10.1063/1.447658
10. M. Lemeshko and B. Friedrich, J. Chem. Phys. 129, 024301 (2008). 10.1063/1.2948392
11. M. Lemeshko and B. Friedrich, Int. J. Mass. Spectrom. 280, 19 (2009).
12. B. Friedrich and D. Herschbach, Phys. Chem. Chem. Phys. 2, 419 (2000). 10.1039/a908876h
13. A. Boca and B. Friedrich, J. Chem. Phys. 112, 3609 (2000). 10.1063/1.480514
14. J. D. Weinstein, R. deCarvalho, T. Guillet, B. Friedrich, and J. M. Doyle, Nature (London) 395, 148 (1998). 10.1038/27706
15. W. C. Cambell and J. M. Doyle, in Cold Molecules: Theory, Experiment, Applications, edited by, R. Krems, W. C. Stwalley, and, B. Friedrich, (Taylor & Francis, London, 2009).
16. A. I. Maergoiz, E. E. Nikitin, J. Troe, and V. G. Ushakov, J. Chem. Phys. 105, 6263 (1996). 10.1063/1.472480
17. E. E. Nikitin, Theory of Elementary Atomic and Molecular Processes in Gases (Clarendon, Oxford, 1974).
18. D. Beck, U. Ross, and W. Schepper, Z. Phys. A 293, 107 (1979). 10.1007/BF01559752
19. A. Ichimura and M. Nakamura, Phys. Rev. A 69, 022716 (2004); 10.1103/PhysRevA.69.022716
20. M. Nakamura and A. Ichimura, Phys. Rev. A 71, 062701 (2005). 10.1103/PhysRevA.71.062701
21. A. J. Marks, J. Chem. Soc., Faraday Trans. 90, 2857 (1994). 10.1039/ft9949002857
22. S. Bosanac, Phys. Rev. A 26, 282 (1982). 10.1103/PhysRevA.26.282
23. A. Gijsbertsen, H. Linnartz, C. A. Taatjes, and S. Stolte, J. Am. Chem. Soc. 128, 8777 (2006); 10.1021/ja057828b
24. C. A. Taatjes, A. Gijsbertsen, M. J. L. de Lange, and S. Stolte, J. Phys. Chem. A 111, 7631 (2007). 10.1021/jp0712405
25. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, England, 1997).
26. R. N. Zare, Angular Momentum: Understanding Spatial Aspects in Chemistry and Physics (Wiley, New York, 1988).
27. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonski, Quantum Theory of Angular Momentum (World Scientific Publications, Singapore and Teaneck, NJ, 1988).
28. B. Friedrich, J. D. Weinstein, R. deCarvalho, and J. M. Doyle, J. Chem. Phys. 110, 2376 (1999). 10.1063/1.477942
29. H. Martin, J. Mol. Spectrosc. 108, 66 (1984). 10.1016/0022-2852(84)90287- X
30. G. C. Groenenboom and N. Balakrishnan, J. Chem. Phys. 118, 7380 (2003). 10.1063/1.1562946
31. G. N. Watson, Theory of Bessel Functions (Cambridge University Press, Cambridge, England, 1922).
32. J. D. Weinstein, Ph.D. thesis, Department of Physics, Harvard University, 2001.
33. N. Balakrishnan, G. C. Groenenboom, R. V. Krems, and A. Dalgarno, J. Chem. Phys. 118, 7386 (2003). 10.1063/1.1562947
34. F. J. Aoiz, J. E. Verdasco, V. J. Herrero, V. Sáez Rábanos, and M. H. Alexander, J. Chem. Phys. 119, 5860 (2003). 10.1063/1.1603223
35. C. Amiot and J. Verges, Can. J. Phys. 59, 1391 (1981).
36. H. Lefebvre-Brion and R. W. Field, Perturbations in the Spectra of Diatomic Molecules (Academic Press, New York, 1986);
37. H. Lefebvre-Brion and R. W. Field, The Spectra and Dynamics of Diatomic Molecules (Elsevier, New York, 2004).
38. G. Herzberg, Spectra of Diatomic Molecules (Van Nostrand, Princeton, 1950).
39. L. Tomuta, M. Mizushima, C. J. Howard, and K. M. Evenson, Phys. Rev. A 12, 974 (1975). 10.1103/PhysRevA.12.974
40. G. C. Groenenboom and I. M. Struniewicz, J. Chem. Phys. 113, 9562 (2000). 10.1063/1.1321311
41. K. Tilford, M. Hoster, P. M. Florian, and R. C. Forrey, Phys. Rev. A 69, 052705 (2004). 10.1103/PhysRevA.69.052705
42. J. Brown and A. Carrington, Rotational Spectroscopy of Diatomic Molecules (Cambridge University Press, Cambridge, England, 2003).
43. J. M. Brown, J. T. Hougen, K. P. Huber, J. W. C. Johns, I. Kopp, H. LeFebvre-Brion, A. J. Merer, D. A. Ramsay, J. Rostas, and R. N. Zare, J. Mol. Spectrosc. 55, 500 (1975). 10.1016/0022-2852(75)90291-X
44. K. Gubbels, Dynamics of Stark Acceleration/Deceleration: Molecules Riding Waves, Master's thesis, Radboud University, Nijmegen, 2006.
45. C. Ticknor and J. L. Bohn, Phys. Rev. A 71, 022709 (2005). 10.1103/PhysRevA.71.022709
46. H.-S. Lee, A. B. McCoy, R. R. Toczyłowski, and S. M. Cybulski, J. Chem. Phys. 113, 5736 (2000). 10.1063/1.1290605
47. L. González-Sánchez, E. Bodo, and F. A. Gianturco, Phys. Rev. A 73, 022703 (2006). 10.1103/PhysRevA.73.022703
48. M. C. van Beek, J. J. ter Meulen, and M. H. Alexander, J. Chem. Phys. 113, 628 (2000). 10.1063/1.481839
49. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Non-Relativistic Theory (Pergamon, Oxford, 1977).
50. J. T. Hougen, The Calculation of Rotational Energy Levels and Rotational Line Intensities in Diatomic Molecules (NIST, 1970).