We use symmetry arguments and simple model systems to describe the conversion of the singlet state of parahydrogen into an oscillating sample magnetization at zero magnetic field. During an initial period of free evolution governed by the scalar-coupling Hamiltonian HJ, the singlet state is converted into scalar spin order involving spins throughout the molecule. A short dc pulse along the z axis rotates the transverse spin components of nuclear species I and S through different angles, converting a portion of the scalar order into vector order. The development of vector order can be described analytically by means of single-transition operators, and it is found to be maximal when the transverse components of I are rotated by an angle of ±π/2 relative to those of S. A period of free evolution follows the pulse, during which the vector order evolves as a set of oscillating coherences. The imaginary parts of the coherences represent spin order that is not directly detectable, while the real parts can be identified with oscillations in the z component of the molecular spin dipole. The dipole oscillations are due to a periodic exchange between Iz and Sz, which have different gyromagnetic ratios. The frequency components of the resulting spectrum are imaginary, since the pulse cannot directly induce magnetization in the sample; it is only during the evolution under HJ that the vector order present at the end of the pulse evolves into detectable magnetization.
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21 June 2013
Research Article|
June 21 2013
Parahydrogen-induced polarization at zero magnetic field Available to Purchase
Mark C. Butler;
Mark C. Butler
a)
1Materials Sciences Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
2Department of Chemistry,
University of California
, Berkeley, California 94720, USA
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Gwendal Kervern;
Gwendal Kervern
b)
1Materials Sciences Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
2Department of Chemistry,
University of California
, Berkeley, California 94720, USA
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Thomas Theis;
Thomas Theis
c)
1Materials Sciences Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
2Department of Chemistry,
University of California
, Berkeley, California 94720, USA
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Micah P. Ledbetter;
Micah P. Ledbetter
3Department of Physics,
University of California
, Berkeley, California 94720, USA
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Paul J. Ganssle;
Paul J. Ganssle
1Materials Sciences Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
2Department of Chemistry,
University of California
, Berkeley, California 94720, USA
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John W. Blanchard;
John W. Blanchard
1Materials Sciences Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
2Department of Chemistry,
University of California
, Berkeley, California 94720, USA
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Dmitry Budker;
Dmitry Budker
3Department of Physics,
University of California
, Berkeley, California 94720, USA
4Nuclear Science Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
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Alexander Pines
Alexander Pines
1Materials Sciences Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
2Department of Chemistry,
University of California
, Berkeley, California 94720, USA
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Mark C. Butler
1,2,a)
Gwendal Kervern
1,2,b)
Thomas Theis
1,2,c)
Micah P. Ledbetter
3
Paul J. Ganssle
1,2
John W. Blanchard
1,2
Dmitry Budker
3,4
Alexander Pines
1,2
1Materials Sciences Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
2Department of Chemistry,
University of California
, Berkeley, California 94720, USA
3Department of Physics,
University of California
, Berkeley, California 94720, USA
4Nuclear Science Division,
Lawrence Berkeley National Laboratory
, Berkeley, California 94720, USA
a)
Electronic mail: [email protected]. Present address: William R. Wiley Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, Richland, Washington 99352, USA.
b)
Present address: Méthodologie RMN, Faculté des Sciences et Technologies, Université de Lorraine, 54506 Vandœuvre-lès-Nancy, France.
c)
Present address: Department of Chemistry, Duke University, Durham, North Carolina 27708, USA.
J. Chem. Phys. 138, 234201 (2013)
Article history
Received:
February 26 2013
Accepted:
April 30 2013
Citation
Mark C. Butler, Gwendal Kervern, Thomas Theis, Micah P. Ledbetter, Paul J. Ganssle, John W. Blanchard, Dmitry Budker, Alexander Pines; Parahydrogen-induced polarization at zero magnetic field. J. Chem. Phys. 21 June 2013; 138 (23): 234201. https://doi.org/10.1063/1.4805062
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