Journal of Chemical Physics
The Journal of Chemical Physics
Search:
   
 
 
 
Previous Article
Simple Landau model of the RIV-RIII-RV rotator phases of alkanes
Simple Landau-type free energy function is presented to describe the RIV-RIII-RV rotator phase sequence and the transitions between them. The order parameters necessary to describe the above rotator p...
Next Article
Bayesian estimates of free energies from nonequilibrium work data in the presence of instrument noise
The Jarzynski equality and the fluctuation theorem relate equilibrium free energy differences to nonequilibrium measurements of the work. These relations extend to single-molecule experiments that hav...

Orientation of dipole molecules and clusters upon adiabatic entry into an external field

J. Chem. Phys. 129, 024101 (2008); doi:10.1063/1.2946712

Published 8 July 2008

You are not logged in to this journal. Log in

J. Bulthuis,1 J. A. Becker,2 R. Moro,3 and V. V. Kresin4
1Department of Physical Chemistry and Laser Centre, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands
2Institut für Physikalische Chemie, Universität Hannover, D-30167 Hannover, Germany
3Department of Physical Sciences, Cameron University, Lawton, Oklahoma 73505, USA
4Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA

The induced polarization of a beam of polar clusters or molecules passing through an electric or magnetic field region differs from the textbook Langevin–Debye susceptibility. This distinction, which is important for the interpretation of deflection and focusing experiments, arises because instead of acquiring thermal equilibrium in the field region, the beam ensemble typically enters the field adiabatically, i.e., with a previously fixed distribution of rotational states. We discuss the orientation of rigid symmetric top systems with a body-fixed electric or magnetic dipole moment. The analytical expression for their “adiabatic-entry” orientation is elucidated and compared with exact numerical results for a range of parameters. The differences between the polarization of thermodynamic and “adiabatic-entry” ensembles of prolate and oblate tops, and of symmetric top and linear rotators, are illustrated and identified. ©2008 American Institute of Physics
History: Received 6 May 2008; accepted 27 May 2008; published 8 July 2008
Permalink: http://link.aip.org/link/?JCPSA6/129/024101/1
BUY THIS ARTICLE   (US$24)
Download HTML Download Sectioned HTML Download PDF (419 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 36.40.Sx
    Diffusion and dynamics of atomic and molecular clusters
  • 33.15.Kr
    Molecular electric and magnetic moments (and derivatives), polarizability, and magnetic susceptibility
  • 33.15.Hp
    Molecular barrier heights (internal rotation, inversion, rotational isomerism, conformational dynamics)
  • YEAR: 2008

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (43)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. R. G. J. Fraser, Molecular Beams (Chemical Publishing Co., New York, 1938).
  2. N. F. Ramsey, Molecular Beams (Oxford University Press, Oxford, 1956).
  3. Atomic and Molecular Beams Methods, edited by G. Scoles (Oxford University Press, Oxford, 1988).
  4. H. J. Loesch and A. Remscheid, J. Chem. Phys. 93, 4779 (1990).
  5. B. Friedrich and D. R. Herschbach, Z. Phys. D: At., Mol. Clusters 18, 153 (1991).
  6. S. Stolte, in Atomic and Molecular Beams Methods, edited by G. Scoles (Oxford University Press, Oxford, 1988).
  7. H.-J. Loesch, Annu. Rev. Phys. Chem. 46, 555 (1995).
  8. R. E. Miller, Proc. SPIE 3271, 151 (1998).
  9. C. E. Heiner, H. L. Bethlem, and G. Meijer, Phys. Chem. Chem. Phys. 8, 2666 (2006).
  10. T. Rieger, T. Junglen, S. A. Rangwala, G. Rempe, P. W. H. Pinkse, and J. Bulthuis, Phys. Rev. A 73, 061402 (2006).
  11. W. A. de Heer, in Metal Clusters at Surfaces, edited by K.-H. Meiwes-Broer (Springer, Berlin, 2000).
  12. X. Xu, S. Yin, R. Moro, and W. A. de Heer, Phys. Rev. Lett. 95, 237209 (2005).
  13. M. Broyer, R. Antoine, E. Benichou, I. Compagnon, Ph. Dugourd, and D. Rayane, C. R. Phys. 3, 301 (2002).
  14. M. Schnell, C. Herwig, and J. A. Becker, Z. Phys. Chem. 217, 1003 (2003).
  15. M. B. Knickelbein, J. Chem. Phys. 121, 5281 (2004).
  16. F. W. Payne, W. Jiang, J. W. Emmert, J. Deng, and L. A. Bloomfield, Phys. Rev. B 75, 094431 (2007).
  17. For a paramagnetic molecule the dipole moment is strongly dependent on the specific quantum state, and an ensemble of rigid linear molecules will display only an average alignment rather than orientation [B. Friedrich and D. R. Herschbach, Z. Phys. D: At., Mol. Clusters 24, 25 (1992)].
  18. P. Langevin, J. Phys. 4, 678 (1905).
  19. P. Debye, Polar Molecules (Dover, New York, 1945).
  20. J. H. Van Vleck, The Theory of Electric and Magnetic Susceptibilities (Oxford University Press, London, 1932).
  21. R. H. Fowler, Statistical Mechanics (Cambridge University Press, Cambridge, 1936).
  22. The rotational constants A,B,C, are defined as the inverse of the principal moments of inertia, e. g., B=[h-bar]2/2Ib, and by convention are assigned as A>=B>=C.
  23. G. F. Bertsch and K. Yabana, Phys. Rev. A 49, 1930 (1994).
  24. G. F. Bertsch, N. Onishi, and K. Yabana, Z. Phys. D: At., Mol. Clusters 34, 213 (1995).
  25. B. Friedrich, Eur. Phys. J. D 38, 209 (2006).
  26. S. E. Choi and R. B. Bernstein, J. Chem. Phys. 85, 150 (1986).
  27. Ph. Dugourd, I. Compagnon, F. Lepine, R. Antoine, D. Rayane, and M. Broyer, Chem. Phys. Lett. 336, 511 (2001).
  28. C. H. Townes and A. L. Schawlow, Microwave Spectroscopy (Dover, New York, 1975).
  29. J. Bulthuis, J. J. van Leuken, and S. Stolte, J. Chem. Soc., Faraday Trans. 91, 205 (1995).
  30. B. Friedrich and D. R. Herschbach, Int. Rev. Phys. Chem. 15, 325 (1996).
  31. R. de L. Kronig, Proc. Natl. Acad. Sci. U.S.A. 12, 608 (1926).
  32. H. J. Loesch and A. Remscheid, J. Phys. Chem. 95, 8194 (1991).
  33. The exception with the calculation for CH3I in Ref. 29 was due to an error in the calculation.
  34. I. Estermann and R. G. J. Fraser, J. Chem. Phys. 1, 390 (1933).
  35. W. Pauli, Z. Phys. 6, 319 (1921).
  36. K. F. Niessen, Phys. Rev. 34, 253 (1929).
  37. J. Bulthuis, J. Möller, and H. J. Loesch, J. Phys. Chem. A 101, 7684 (1997).
  38. W. Kong and J. Bulthuis, J. Phys. Chem. A 104, 1055 (2000).
  39. Ph. Dugourd, R. Antoine, M. Abd El Rahim, D. Rayane, M. Broyer, and F. Calvo, Chem. Phys. Lett. 423, 13 (2006).
  40. M. Abd El Rahim, R. Antoine, M. Broyer, D. Rayane, and Ph. Dugourd, J. Phys. Chem. A 109, 8507 (2005).
  41. R. Antoine, M. Abd El Rahim, M. Broyer, D. Rayane, and Ph. Dugourd, J. Phys. Chem. A 110, 10006 (2006).
  42. V. Visuthikraisee and G. F. Bertsch, Phys. Rev. A 54, 5104 (1996).
  43. R. Moro, J. Bulthuis, J. Heinrich, and V. V. Kresin, Phys. Rev. A 75, 013415 (2007).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.