Temperature variation of surface phonon line width: low Miller index surfaces of Ag and Cu

Rahman, Talat S.; Spangler, John D.; Al-Rawi, Ahlam N.

doi:10.1016/s0039-6028(01)01989-6

Cited by 11 publications

(6 citation statements)

References 36 publications

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“…The line-width is defined as the width at half maximum of the Rayleigh peak. With the increasing of temperature, some new modes appear due to phonon-phonon interactions, which make the calculation of the line-width challenging [28]. In present calculation, the linewidth of step mode is computed up to temperature of 900 K. Note that in Fig.…”

Section: The Mean Square Vibrational Amplitudementioning

confidence: 94%

Temperature dependence of atomic relaxation and vibrations for the vicinal Ni(977) surface: a molecular dynamics study

Yang

Deng

et al. 2004

Surface Science

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Section: The Mean Square Vibrational Amplitudementioning

confidence: 94%

Temperature dependence of atomic relaxation and vibrations for the vicinal Ni(977) surface: a molecular dynamics study

Yang

Deng

et al. 2004

Surface Science

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“…In particular, the phonon-dispersion relations and polarization vectors can be calculated with reasonable accuracy using force-constant models [90] or the embedded-atom method [91][92][93]. In recent calculations of G ep and l for surface states, one-electron wave functions obtained by using the oneelectron model potential [44,45] have been used.…”

Section: Electron-phonon Interactionmentioning

confidence: 99%

Decay of electronic excitations at metal surfaces

Echenique

Berndt

Chulkov

et al. 2004

Surface Science Reports

438

403

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“…21,56,57 In the case of low T, the physical and dynamical properties of solids follow the harmonic approach. The anharmonic effect for many systems has a very significant role with increasing T. The common expression of anharmonicity is thermal expansion, shift in phonon frequencies, and nonlinear improvement of atomic vibration amplitudes with increasing T. 58 The changes of acoustic and optical phonon frequencies with different temperatures were simulated at 80, 125, 175, 200, 225, 250, 275, 300, 350, 425, and 500 K temperature values, respectively. The variations of the phonon dispersion profile with studied T range along the high-symmetry directions of the BZ are depicted in Figure 7a.…”

Section: ■ Pdos Analysismentioning

confidence: 99%

Temperature-Dependent Cationic Doping-Driven Phonon Dynamics Investigation in CdO Thin Films Using Raman Spectroscopy

et al. 2020

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In the present work, undoped cadmium oxide (CdO)- and 1% Tin (Sn)-doped CdO thin films were prepared by the sol–gel route. These samples have been analyzed by temperature (T)-dependent (80–500 K) Raman spectroscopy and studied for their lattice dynamics and vibrational density of states. Results indicate that the room T synthesized pure CdO thin film manifests two prime second order features, that is, 300.5 cm–1 transverse optical (TO) and 488 cm–1 longitudinal optical (LO) phonon modes. However, incorporation of cationic-assisted impurity (Sn) with larger ionic radii results in a softening of the high-frequency LO (480.5 cm–1) mode via lattice deformation scattering potential. In fact, selective Sn doping increases the carrier concentration in the host CdO matrix which subsequently mitigates intraionic anharmonicity owing to increased Coulomb screening, leading to disappearance of the low-frequency TO mode (300.5 cm–1). In the case of pure CdO thin films, surface electron-induced electron–LO phonon coupling causes the intensity enhancement in LO modes, while negligible four-phonon anharmonic coupling results in lowering of full width at half maxima below Debye T. On the other hand, Frühlich interaction in the polar LO phonon mode supersedes the impact of anharmonic decay and dominates the overall phonon decay process by impurity incorporation, via appropriate Sn doping. Theoretical phonon dispersion profiles throughout the Brillouin zone with increasing T suggests stronger TO phonon mode softening along with optical branch broadening followed by LO–TO splitting. The acoustic branch barely suffers any shift with changing T which cannot be observed in experimental spectra. However, the flexural phonon modes confer a direct indication of changed rigidity and bond stiffness with varying T. Overall, the present investigation provides experimental evidence regarding the significance of Debye T, below and above which the three- and four-phonon anharmonicity are feasible in phonon scattering in conjunction with theoretical insights.

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Temperature variation of surface phonon line width: low Miller index surfaces of Ag and Cu

Cited by 11 publications

References 36 publications

Temperature dependence of atomic relaxation and vibrations for the vicinal Ni(977) surface: a molecular dynamics study

Temperature dependence of atomic relaxation and vibrations for the vicinal Ni(977) surface: a molecular dynamics study

Decay of electronic excitations at metal surfaces

Temperature-Dependent Cationic Doping-Driven Phonon Dynamics Investigation in CdO Thin Films Using Raman Spectroscopy

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