2006
DOI: 10.1103/physrevlett.96.035501
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Vibrational Lifetimes and Frequency-Gap Law of Hydrogen Bending Modes in Semiconductors

Abstract: Vibrational lifetimes of hydrogen and deuterium related bending modes in semiconductors are measured by transient bleaching spectroscopy and high-resolution infrared absorption spectroscopy. We find that the vibrational lifetimes follow a universal frequency-gap law; i.e., the decay time increases exponentially with increasing decay order, with values ranging from 1 ps for a one-phonon process to 265 ps for a four-phonon process. The temperature dependence of the lifetime shows that the bending mode decays by … Show more

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Cited by 33 publications
(27 citation statements)
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(34 reference statements)
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“…Further experiments will be necessary to clarify this issue. Among them, the effect of a hydrogen substitution by deuterium on the dissociation yield should provide interesting information since isotope effects of unexpected magnitude are predicted 22 and observed 18 in the case of vibrational heating.…”
mentioning
confidence: 98%
“…Further experiments will be necessary to clarify this issue. Among them, the effect of a hydrogen substitution by deuterium on the dissociation yield should provide interesting information since isotope effects of unexpected magnitude are predicted 22 and observed 18 in the case of vibrational heating.…”
mentioning
confidence: 98%
“…The measurements of the lifetimes of H-related wag modes [13] yield a more straightforward explanation. These lifetimes vary exponentially with the frequency separation between the LVM and the receiving modes (''frequency-gap law'').…”
mentioning
confidence: 99%
“…The decay becomes a much slower three-phonon process, the theoretical lifetime increases to τ = 23 ps , and the IR line becomes very narrow. For D ab − C s · · · D bc − Si, ∆ω = 310 cm −1 and the predicted 11 ps lifetime is about average for a typical two-phonon decay [19]. This is not an isolated situation.…”
Section: Discussionmentioning
confidence: 99%
“…The number of phonons involved in the decay can be estimated from the lifetime via the empirical 'frequencygap law' [19]. Two-phonon decays correspond to τ 's of the order of 4 to 10 ps, three-phonon decays range from 30 to 90 ps, etc.…”
mentioning
confidence: 99%