Size effect in electron–lattice energy exchange in small metal particles

Bilotsky, Yevgen; Tomchuk, P. M.

doi:10.1016/j.susc.2006.07.051

Cited by 17 publications

(15 citation statements)

References 11 publications

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“…Comparing the results of kinetic and classical approaches, we can trace, in which conditions the results coincide, and that brings what is new in the energy exchange for the ballistic motion of electrons (from one potential wall to the opposite one). In the classical description of electron-lattice energy exchange we start from the equation for the lattice displacement vector associated with the longitudinal acoustic lattice vibrations generated by moving electrons [17] 24) and (25) we obtain the equation for χ :…”

Section: Classical Description Of Electron-lattice Energy Exchange Inmentioning

confidence: 99%

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New peculiarity in the temperature and size dependence of electron-lattice energy exchange in metal nanoparticles

Tomchuk

Bilotsky

2014

Int. J. Mod. Phys. B

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The work is dedicated to the development of the electron-lattice energy exchange theory in metal particles and it dependence of on particle size and electron temperature. We obtained the expressions for the constants of the electron-lattice energy exchange using the quantum-kinetic approach for infinite metal, and compared it with the result of classical kinetic approach. Both methods give the same result. But for the metal particles smaller than the mean free path of electrons, as we show, a quantum-kinetic approach (in its standard form) can not be applied, while the classical approach can be easily generalized to the particle of such sizes.We found a new peculiarity of the electron-lattice energy exchange -its temperature dependence around certain size -"magic size" of metal nanoparticles. Our calculation shown, that this changes of the electron-lattice energy exchange are associated with alteration of acoustic subzones which takes part in energy transfer. The change of the electron temperature can also lead to changes (around the "magic size") in the acoustic subzones, which are involved in energy transfer. As a result, constant of the electron-phonon interaction in nanoparticles can be either much higher or much lower than the corresponding constant for infinite metal. 2 3 4 5 6 7 8

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Section: Classical Description Of Electron-lattice Energy Exchange Inmentioning

confidence: 99%

“…(27) and applying the formula (34), with the expression is the maximum of q ⊥ , which corresponds to the Debye wave vector D q calculation of the integral in Eq. (35) we receive (see the details in[17]…”

mentioning

confidence: 99%

New peculiarity in the temperature and size dependence of electron-lattice energy exchange in metal nanoparticles

Tomchuk

Bilotsky

2014

Int. J. Mod. Phys. B

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“…where θ is the Debye temperature for bulk metal and S is a parameter proportional to strength of electronphonon coupling [31][32][33]. Now, if we consider that the enhancement in PL intensity occurs mainly due to the coupling between incoming and outgoing radiation with SPR, then the temperature-dependent PL intensity can be written approximately as, by taking into account the Eqs.…”

Section: Resultsmentioning

confidence: 99%

Observation of Size-Dependent Electron–Phonon Scattering and Temperature-Dependent Photoluminescence Quenching in Triangular-Shaped Silver Nanoparticles

et al. 2015

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Research studies on plasmonic properties of triangular-shaped silver nanoparticles might lead to several interesting applications. However, in this work, triangularshaped silver nanoparticles have been synthesized by simple solvothermal technique and reported the effect of size on the electron-phonon scattering in the synthesized materials by analyzing their temperature-dependent photoluminescence (PL) emission characteristics. It has been observed that total integrated PL emission intensity is quenched by 33 % with the increase in temperature from 278 to 323 K. The observed decrease in PL emission intensity has been ascribed to the increase of electron-phonon scattering rate with the increase in temperature. The values of electron-phonon coupling strength (S) for synthesized samples have been evaluated by theoretical fitting of the experimentally obtained PL emission data. Smaller sized triangular nanoparticle has been found to exhibit stronger temperature dependence in PL emission, which strongly suggests that smaller sized triangular silver nanostructures have better electron-phonon coupling.

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“…Taking the oscillatory character of the electron motion along the axis [see Eq. 5] into account, let us expand (R, ) in the Fourier series in || and the Fourier integral over R ⊥ (the details can be found in works [8,9]):…”

Section: Generation Of Acoustic Modes By Hot Electronsmentioning

confidence: 99%

“…In accordance with Eq. (4), the energy spent by the electron on the sound generation (the details of calculation can be found in works [8,9]). For the real part of / , we obtain [8,9] Re…”

Section: Generation Of Acoustic Modes By Hot Electronsmentioning

confidence: 99%

Електрон-Ґратковий Енергообмін І Гарячі Електрони В Острівкових Металевих Плівках

Tomchuk

Starkov

2020

Ukr. J. Phys.

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В роботi розглядаються завершальнi тези теорiї автора, яка описує гарячi електрони в острiвкових металевих плiвках. Детально дослiджено, як розмiрнi залежностi електрон-ґраткового енергообмiну впливають на електроннi температури гарячих електронiв при наближеннi системи до критичних розмiрiв. Виявлено високу чутливiсть електронної температури до розмiрiв металевої наночастинки в околi критичних значень. Отримано результати обчислювальних експериментiв, якi пiдтверджують основнi положення теорiї.

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Size effect in electron–lattice energy exchange in small metal particles

Cited by 17 publications

References 11 publications

New peculiarity in the temperature and size dependence of electron-lattice energy exchange in metal nanoparticles

New peculiarity in the temperature and size dependence of electron-lattice energy exchange in metal nanoparticles

Observation of Size-Dependent Electron–Phonon Scattering and Temperature-Dependent Photoluminescence Quenching in Triangular-Shaped Silver Nanoparticles

Електрон-Ґратковий Енергообмін І Гарячі Електрони В Острівкових Металевих Плівках

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