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Remarks on the signs of g factors in atomic and molecular Zeeman spectroscopy

Remarks on the signs of g factors in atomic and molecular Zeeman spectroscopy
Remarks on the signs of g factors in atomic and molecular Zeeman spectroscopy
Various magnetic moments, associated with rotational, vibrational, nuclear spin, electron orbital and electron spin angular momenta, can contribute to the Zeeman effect in atoms and molecules. They are considered in this paper in the context of the effective Hamiltonian where relativistic and other corrections as well as the effects of mixing with other electronic states are absorbed in appropriate g factors. In spherically symmetric systems, the magnetic dipole moment arising from a specific angular momentum can be written as the product of three factors: the nuclear or Bohr magneton (which is positive), the g factor (which may be positive or negative), and the corresponding angular momentum (which is a vector). A convention is discussed, in which the sign of the g factor is positive when the dipole moment is parallel to its angular momentum and negative when it is antiparallel. This would have the advantage that it could be applied consistently in any situation. Such a choice would require the g factors for the electron orbital and electron spin angular momenta to be negative. This concept can easily be extended to the case of a general molecule where the relation between the dipole and angular momentum vectors has tensorial character.
0026-8976
1597-1601
Brown, J. M.
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Buenker, R. J.
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Carrington, A.
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Di Lauro, C.
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Dixon, R. N.
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Field, R. W.
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Hougen, J. T.
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Huttner, W.
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Kuchitsu, K.
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Mehring, M.
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Merer, A. J.
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Miller, T. A.
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Quack, M.
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Ramsay, D. A.
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Veseth, L.
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Zare, R. N.
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Brown, J. M.
90c77105-ff87-4893-bfd6-567ef25ef56a
Buenker, R. J.
9fbdf5f4-6267-49d8-86c9-7a77d372de0b
Carrington, A.
9fdd0c62-0249-4d22-8d50-6351d08adcae
Di Lauro, C.
687ac93a-fba6-45d1-9362-e5264356cf41
Dixon, R. N.
0237b839-8e88-4116-93d1-b038710e2860
Field, R. W.
52d1ef3d-64e8-420c-bb3f-97c4d56e3f10
Hougen, J. T.
5e5d6362-6d8f-46cf-ab27-9c7b1ec11c52
Huttner, W.
994fa614-8dca-46ec-8264-5326c49c1468
Kuchitsu, K.
73567c8d-1aaf-4903-a310-942a5a54658c
Mehring, M.
40b2745f-3bf3-4bb1-b7c0-18a533110df0
Merer, A. J.
37593114-d1a4-4e71-8054-df24e350139d
Miller, T. A.
8073b656-4384-4705-b92b-8f5e232739d2
Quack, M.
3d4a2c25-99dc-42d7-b557-66a5ff806517
Ramsay, D. A.
759ea162-9095-4f53-8f04-519068f675b7
Veseth, L.
a1720ec2-2389-4df1-9574-407540f0f9f8
Zare, R. N.
96187dcc-0394-4413-be5d-c8aa10d00656

Brown, J. M., Buenker, R. J., Carrington, A., Di Lauro, C., Dixon, R. N., Field, R. W., Hougen, J. T., Huttner, W., Kuchitsu, K., Mehring, M., Merer, A. J., Miller, T. A., Quack, M., Ramsay, D. A., Veseth, L. and Zare, R. N. (2000) Remarks on the signs of g factors in atomic and molecular Zeeman spectroscopy. Molecular Physics, 98 (20), 1597-1601.

Record type: Article

Abstract

Various magnetic moments, associated with rotational, vibrational, nuclear spin, electron orbital and electron spin angular momenta, can contribute to the Zeeman effect in atoms and molecules. They are considered in this paper in the context of the effective Hamiltonian where relativistic and other corrections as well as the effects of mixing with other electronic states are absorbed in appropriate g factors. In spherically symmetric systems, the magnetic dipole moment arising from a specific angular momentum can be written as the product of three factors: the nuclear or Bohr magneton (which is positive), the g factor (which may be positive or negative), and the corresponding angular momentum (which is a vector). A convention is discussed, in which the sign of the g factor is positive when the dipole moment is parallel to its angular momentum and negative when it is antiparallel. This would have the advantage that it could be applied consistently in any situation. Such a choice would require the g factors for the electron orbital and electron spin angular momenta to be negative. This concept can easily be extended to the case of a general molecule where the relation between the dipole and angular momentum vectors has tensorial character.

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Published date: 20 October 2000

Identifiers

Local EPrints ID: 18922
URI: http://eprints.soton.ac.uk/id/eprint/18922
ISSN: 0026-8976
PURE UUID: e83f7412-9c10-46d9-b973-42836070e64d

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Date deposited: 17 Jan 2006
Last modified: 15 Jul 2019 19:28

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Contributors

Author: J. M. Brown
Author: R. J. Buenker
Author: A. Carrington
Author: C. Di Lauro
Author: R. N. Dixon
Author: R. W. Field
Author: J. T. Hougen
Author: W. Huttner
Author: K. Kuchitsu
Author: M. Mehring
Author: A. J. Merer
Author: T. A. Miller
Author: M. Quack
Author: D. A. Ramsay
Author: L. Veseth
Author: R. N. Zare

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