vibrational and hyperfine coupling effects in (hi) 2 s. p. belov, f. willaert, b. a. mcelmurry, r....

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Vibrational and Hyperfine Coupling Effects in (HI) 2 . P. Belov, F. Willaert, B. A. McElmurr R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

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The hydrogen halide dimers family (HF) 2 (HCl) 2 (HBr) 2 (HI) 2 Dyke, Howard, and Klemperer, J. Chem. Phys. 56, 2442 (1972) Schuder, Lovejoy, and Nesbitt, J. Chem. Phys. 99, 4346 (1993) Chen, Hight Walker, Novick, and Tao, J. Chem. Phys. 106, (1997) Castillo-Chara, McIntosh, Wang, Lucchese, and Bevan, J. Chem. Phys. 120, (2004) Present investigation.

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Page 1: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

Vibrational and Hyperfine Coupling

Effects in (HI)2

S. P. Belov, F. Willaert, B. A. McElmurry,R. R. Lucchese, J. W. Bevan,

L. H. Coudert, and J. T. Hougen

Page 2: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

Overview

•Interesting from the chemical point of view

•Analysis of the microwave data recorded at Texas A&M University

•Interesting from the physical point of view

•Hyperfine-rotational-vibrational energy levels

Page 3: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

The hydrogen halide dimers family

(HF)2(HCl)2 (HBr)2 (HI)2

Dyke, Howard, and Klemperer, J. Chem. Phys. 56, 2442 (1972)

Schuder, Lovejoy, and Nesbitt, J. Chem. Phys. 99, 4346 (1993)

Chen, Hight Walker, Novick, and Tao, J. Chem. Phys. 106, 10386 (1997)Castillo-Chara, McIntosh, Wang, Lucchese, and Bevan,J. Chem. Phys. 120, 10426 (2004)

Present investigation.

Page 4: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

The interconversion geared-type motion

Page 5: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

The potential energy function V()

(HF)2(HCl)2 (HBr)2 (HI)2

E 0.66 15.5 15.0 17.1

Dyke, Howard, and Klemperer, J. Chem. Phys. 56, 2442 (1972)Schuder, Lovejoy, Lascola, and Nesbitt, J. Chem. Phys. 99, 4346 (1993)Castillo-Chara, McIntosh, Wang, Lucchese, and Bevan, J. Chem. Phys. 120, 10426 (2004)

Page 6: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

The very large quadrupole moment

The iodine nucleus has a very large quadrupole moment.

Page 7: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

The very large quadrupole coupling

The HI molecule displays a very large electric quadrupolecoupling constant.1

1. Chance, Varberg, Park, and Zink, J. Mol. Spec. 162, 120 (1993)

Page 8: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

Accounting for the large quadrupole coupling

J matrix elements

I2 Hanes, Lapierre, Bunker, and Shotton, J. Mol. Spec. 39, 506 (1971)

v matrix elements

Page 9: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

Hyperfine coupling Hamiltonian

Page 10: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

Hyperfine coupling matrix elements

(CH2NH2)2 Merke and Coudert, J. Mol. Spec. 237, 174 (2006)

Page 11: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

The measurements

Paper WJ02, McElmurry, Wang, Lucchese, Bevan, and Belov, Columbus 2006

Page 12: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

The R(0), v transition

RMS 18 kHz Without v1 matrix elements, RMS 36 kHz

Page 13: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

Spectroscopic constants

Page 14: Vibrational and Hyperfine Coupling Effects in (HI) 2 S. P. Belov, F. Willaert, B. A. McElmurry, R. R. Lucchese, J. W. Bevan, L. H. Coudert, and J. T. Hougen

The R(3), v transition

Spin-rotation: I·J

Quadrupole distortion: J2, Q:V}