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transition (dipole) moment Math - symbol
An oscillating electric or magnetic moment can be induced in an atom or molecular entity by an electromagnetic wave. Its interaction with the electromagnetic field is resonant if the frequency of the latter corresponds to the energy difference between the initial and final states of a transition (Math - ei). The amplitude of this moment is referred to as the transition moment. It can be calculated from an integral taken over the product of the wavefunctions of the initial (Math - ei) and final (Math - ei) states of a spectral transition and the appropriate dipole moment operator (Math - ei) of the electromagnetic radiation:
Math - e
where the summation is over the coordinates of all charged particles (electrons and nuclei). Its sign is arbitrary, its direction in the molecular framework defines the direction of transition polarization, and its square determines the strength of the transition. If Math - symbol is omitted one obtains Math - symbol in the sense used in oscillator strength. The SI unit of the transition dipole moment is Math - text. The common unit is debye (Math - text).
Source:
PAC, 1996, 68, 2223 (Glossary of terms used in photochemistry (IUPAC Recommendations 1996)) on page 2281
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Cite as:
IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A.Wilkinson. Blackwell Scientific Publications, Oxford (1997). XML on-line corrected version: http://goldbook.iupac.org (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8. doi:10.1351/goldbook.
Last update: 2008-10-07; version: 2.0.2.
DOI of this term: doi:10.1351/goldbook.T06460.
Original PDF version (may be out of date): http://www.iupac.org/goldbook/T06460.pdf.
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