stark effect and torsional motion interaction in biphenyl l. h. coudert, a l. f. pacios, b and j....

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Stark Effect and Torsional Motion Interaction in Biphenyl . Coudert, a L. F. Pacios, b and J. Ortig a LISA, CNRS/Paris 12 University, Créteil, France Montes, Universidad Polytécnica de Madrid, Madrid, de Estructura de la Materia, CSIC, Serrano 121, Ma

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Page 1: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Stark Effect and Torsional Motion

Interaction in Biphenyl

L. H. Coudert,a L. F. Pacios,b and J. Ortigosoc

aLISA, CNRS/Paris 12 University, Créteil, FrancebETSI Montes, Universidad Polytécnica de Madrid, Madrid, Spain

cIinstituto de Estructura de la Materia, CSIC, Serrano 121, Madrid, Spain

Page 2: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Overview

•The spectroscopy

•Stark interaction

•Alignment

Page 3: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Biphenyl is a non-rigid molecule

The torsional angle1 is 2

1. Merer and Watson, J. Mol. Spec. 47, 499 (1973)

z

x

y

Page 4: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

The potential energy function

It has 90° periodicity

Page 5: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

The potential energy function

eq.Pacios and Gómez, Chem.Phys. Letters 432, 414 (2006)

Page 6: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Torsional energy levels

Merer and Watson, J. Mol. Spec. 47, 499 (1973)

Page 7: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Stark interaction Hamiltonian

Page 8: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Polarizability tensor

Coupling between E and the large amplitude motion

Ramakrishna and Seideman, Phys. Rev. Letters 99, 103001 (2007)

Page 9: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Stark-rotation-torsion energy levels

Page 10: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Calculation I

Page 11: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Rigid case.

Page 12: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Non-rigid case

Page 13: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Kumar, Gross, Safvan, Rajgara, and Mathur, Phys. Rev. A 53, 3098 (1996)

E

Alignment

zZ

The stark interaction

energy is minimized

Page 14: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Calculation II

Page 15: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Rigid case.

Page 16: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Rigid case.

TK. Intensity = 3.6 1012 W·cm

<< |

Page 17: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Non-rigid case

Page 18: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Non-rigid case

TK. Intensity = 3.6 1012 W·cm

<< |

Page 19: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

LaserBeam

Alignment rigid case

Zy

xz

Page 20: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

LaserBeam

Alignment non-rigid case

Zy

xz

y

x

z

Page 21: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

Non-rigid case: |

TK. No laser

Page 22: Stark Effect and Torsional Motion Interaction in Biphenyl L. H. Coudert, a L. F. Pacios, b and J. Ortigoso c a LISA, CNRS/Paris 12 University, Créteil,

TK. Intensity = 1013 W·cm

Non-rigid case: |