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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

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,

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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: |