Ambiguities in the parametrization of 4fN-4fN electric-dipole transition intensities

Gary W Burdick; S. M. Crooks; M. F. Reid

doi:10.1103/PhysRevB.59.R7789

Ambiguities in the parametrization of 4fN-4fN electric-dipole transition intensities

Gary W Burdick, S. M. Crooks, M. F. Reid

Department of Physics

University of Canterbury

Research output: Contribution to journal › Article › peer-review

Abstract

For most symmetries the standard parametrization of one-photon electric-dipole transitions between crystal-field levels of the (Formula presented) configuration of lanthanide ions produces identical intensities for several quite different parameter sets. An alternative scheme makes this multiplicity transparent as independent sign choices for each subset of parameters corresponding to distinct polarizations. In addition, the alternative parametrization allows separate fits to data for different polarizations.

Original language	American English
Pages (from-to)	R7789-R7792
Journal	Physical Review B
Volume	59
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevB.59.R7789
State	Published - 1999

Disciplines

Physics

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10.1103/PhysRevB.59.R7789

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title = "Ambiguities in the parametrization of 4fN-4fN electric-dipole transition intensities",

abstract = "For most symmetries the standard parametrization of one-photon electric-dipole transitions between crystal-field levels of the (Formula presented) configuration of lanthanide ions produces identical intensities for several quite different parameter sets. An alternative scheme makes this multiplicity transparent as independent sign choices for each subset of parameters corresponding to distinct polarizations. In addition, the alternative parametrization allows separate fits to data for different polarizations.",

author = "Burdick, \{Gary W\} and Crooks, \{S. M.\} and Reid, \{M. F.\}",

year = "1999",

doi = "10.1103/PhysRevB.59.R7789",

language = "American English",

volume = "59",

pages = "R7789--R7792",

journal = "Physical Review B",

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T1 - Ambiguities in the parametrization of 4fN-4fN electric-dipole transition intensities

AU - Burdick, Gary W

AU - Crooks, S. M.

AU - Reid, M. F.

PY - 1999

Y1 - 1999

N2 - For most symmetries the standard parametrization of one-photon electric-dipole transitions between crystal-field levels of the (Formula presented) configuration of lanthanide ions produces identical intensities for several quite different parameter sets. An alternative scheme makes this multiplicity transparent as independent sign choices for each subset of parameters corresponding to distinct polarizations. In addition, the alternative parametrization allows separate fits to data for different polarizations.

AB - For most symmetries the standard parametrization of one-photon electric-dipole transitions between crystal-field levels of the (Formula presented) configuration of lanthanide ions produces identical intensities for several quite different parameter sets. An alternative scheme makes this multiplicity transparent as independent sign choices for each subset of parameters corresponding to distinct polarizations. In addition, the alternative parametrization allows separate fits to data for different polarizations.

UR - https://digitalcommons.andrews.edu/physics-pubs/49/

U2 - 10.1103/PhysRevB.59.R7789

DO - 10.1103/PhysRevB.59.R7789

M3 - Article

VL - 59

SP - R7789-R7792

JO - Physical Review B

JF - Physical Review B

IS - 12

ER -

Ambiguities in the parametrization of 4fN-4fN electric-dipole transition intensities

Abstract

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