Ultrafast electron-phonon coupling in hollow gold nanospheres

Electronic energy relaxation in hollow gold nanospheres (HGNs) was studied using femtosecond time-resolved transient absorption spectroscopy. A range of HGNs having outer diameter-to-shell thickness aspect ratios of 3.5 to 9.5 were synthesized by a galvanic replacement method. The HGNs exhibited electron-phonon relaxation times that decreased from 1.18 ± 0.16 to 0.59 ± 0.08 ps as the aspect ratio increased over this range. The corresponding electron-phonon coupling constants, G, ranged from (1.67 ± 0.22) to (3.33 ± 0.45) × 10(16) W m(-3) K(-1). Electron-phonon coupling was also determined for solid gold nanospheres (SGNs) with diameters spanning 20 nm to 83 nm; no size dependence was observed for these structures. The HGNs with high aspect ratios exhibited larger electron-phonon coupling constants than the SGNs, whose average G value was (1.9 ± 0.2) × 10(16) W m(-3) K(-1). By comparison, low-aspect ratio HGNs exhibited values comparable to SGNs. The electron-phonon coupling of high-aspect ratio HGNs was also influenced by the surrounding fluid dielectric; slightly smaller G values were obtained when methanol was the solvent as opposed to water. This coupling enhancement observed for high-aspect ratio HGNs was attributed to the large surface to volume ratio of these structures, which results in non-negligible contributions from the environment.     

Phonon mode coupling and Fano-type antiresonance in polyethylene

Summary The decrease of the absorption strength of 73 cm^–1 line in polyethylene and the strong antiresonance occuring above 310 K at the high frequency wing of the line are explained by assuming a Fanto type coupling between the 73 cm^–1 phonon and a continuum of infrared active vibrational modes. The parameters determining the line shape are deduced from experimental absorption curves and conceivable coupling mechanisms are discussed.

---

Zusammenfassung Die Abnahme der Absorption der 73 cm^–1-Bande in Polyäthylen und die starke Antiresonanz, die oberhalb 310 K auf der hochfrequenten Seite der Bande einsetzt, werden erklärt durch Annahme einer Fano-Kopplung zwischen dem 73 cm^–1-Phonon und einem Kontinuum von infrarot-aktiven Schwingungsmoden. Die Parameter, die die Linienform bestimmen, werden aus den experimentellen Absorptionskurven abgeleitet und Kopplungsmechanismen diskutiert.

---

---

With 6 figures     

Ab initio electron propagators in molecules with strong electron-phonon interaction. I. Phonon averages

Ab initio electron propagators in molecular systems with strong electron-electron and electron-phonon interactions are considered to study molecular electronic properties. This research is important in electron transfer reactions where the electron transition is not considered any longer as a single electron transfer process or in temperature dependences of current-voltage characteristics in molecular wires or aggregates. To calculate electron Green's functions, the authors apply a small polaron canonical transformation that intrinsically contains strong electron-phonon effects. According to this transformation, the excitation energies of the noninteracting Hamiltonian are shifted down by the relaxation (solvation) energy for each state. The electron-electron interaction is also renormalized by the electron-phonon coupling. For some values of the electron-phonon coupling constants, the renormalized Coulomb integrals can be negative resulting in the attraction between two electrons. Within this transformation, they develop a diagrammatic expansion for electron Green's function in which the electron-phonon interaction is included into the multiple phonon correlation functions. The multiple phonon correlation functions are exactly found. It is pointed out that Wick's theorem for such correlation functions is invalid. Consequently, there is no Dyson equation for electron Green's functions. The proposed approach can be considered for future method developments for quantum chemical calculations that include strong nonadiabatic (non-Born-Oppenheimer) effects.     

Phonon dynamics of glassy copper alloys

The well recognized model potential is used to investigate the phonon properties for five glassy Copper alloys viz. Cu₅₇Zr₄₃, Cu₆₀W₄₀, Cu₃₃Y₆₇, Cu₄₃Ti₅₇ and Cu₆₆Ti₃₄. The thermodynamic and elastic properties are also computed from the elastic limits of the phonon dispersion curves (PDC). Three theoretical approaches given by Hubbard-Beeby (HB), Takeno-Goda (TG) and Bhatia-Singh (BS) are used in the present study to compute the PDC. Five local field correction functions proposed by Hartree (H), Taylor (T), Ichimaru-Utsumi (IU), Farid et al. (F) and Sarkar et al. (S) are employed to see the effect of exchange and correlation in the aforesaid properties.     

Inverse isotope effects and electron-phonon coupling in the positively charged deutero- and fluoroacenes

Electron-phonon interactions in the monocations of deutero- and fluoroacenes are studied and compared with those in the monocations of acenes and those in the monoanions of fluoroacenes. Because of the significant phase pattern difference between the highest occupied molecular orbitals (HOMO) and the lowest unoccupied molecular orbitals (LUMO), the frequency modes lower than 500 cm(-1) and the high-frequency modes around 1400 cm(-1) couple more strongly to the LUMO than to the HOMO, while the frequency modes around 500 cm(-1) and the frequency modes around 1600 cm(-1) couple more strongly to the HOMO than to the LUMO in fluoroacenes with D2h geometry. The total electron-phonon coupling constants for the monocations (l(HOMO)) are estimated and compared with those for the monoanions (l(LUMO)) in deutero- and fluoroacenes. The l(HOMO) values are estimated to be 0.418, 0.399, 0.301, 0.255, and 0.222 eV for C6F6 (1f), C10F8 (2f), C14F10 (3f), C18F12 (4f), and C22F14 (5f), respectively. The l(HOMO) values are smaller than the l(LUMO) values in small fluoroacenes. But the l(HOMO) value decreases with an increase in molecular size less rapidly than the l(LUMO) value in fluoroacenes, and the l(HOMO) value of 0.074 eV is much larger than the l(LUMO) value of 0.009 eV in polyfluoroacene. The logarithmically averaged phonon frequencies for the monocations (omega(ln,HOMO)) are estimated to be larger than those for the monoanions (omega(ln,LUMO)) in fluoroacenes. This is because the C-C stretching modes around 1600 cm(-1) couple most strongly to the HOMO, and those around 1400 cm(-1) couple the most strongly to the LUMO in fluoroacenes. The significant phase pattern difference between the HOMO and the LUMO is the main reason for the calculational results. The l(HOMO) values increase much more significantly by H-F substitution than by H-D substitution in acenes. The possible inverse isotope effects in the electron-phonon interactions as a consequence of deuteration in the monocations of nanosized molecules are suggested.     

Optical absorption of semiconducting and metallic nanospheres with the confined electron-phonon coupling

We study the optical absorption, especially the (far-) infrared absorption by phonons, of semiconducting and metallic nanospheres. In the nanoscopic sphere, phonons as well as states of electronic excitations are quantized by confinement. It is also known that in the nanoscopic geometry, the confined electron-phonon interaction has a different form from the usual one in the bulk. First, we analyze the phonon and electron contributions to the dielectric response of nanospheres like epsilon(q,omega)=epsilon(ph)(q,omega)+epsilon(el)(q,omega) or 1epsilon(q,omega)=1epsilon(sc-ph)(q,omega)+1epsilon(el)(q,omega) from the confined electron-phonon interaction for three cases: the intrinsic semiconductor, the doped semiconductor, and the metal. From the dielectric response, the optical absorption spectra are calculated within the semiclassical framework concentrating on the (far-) infrared region and compared to the spectra without imposing confinement. Nontrivial differences of the spectra with confined phonons stem from two features: the electron-phonon coupling matrix has a different form and the phase space q of the confined phonon is reduced because of its quantization to q(n). Finally, size distribution effects in an ensemble of isolated nanospheres are briefly discussed. Those effects are found to be important in metallic spheres with rapid sweepings of resonances by a small change of the sphere size.     

Enhanced resonant raman scattering and electron-phonon coupling from self-assembled secondary ZnO nanoparticles

Self-assembled secondary ZnO nanoparticles, recognized with the agglomeration of crystalline subcrystals, are successfully synthesized by a simple sol-gel method. TEM images display that one artificial cluster behaves in a single-crystal-like wurtzite structure because subcrystals coagulate as the same crystal orientation. Moreover, from the resonant Raman scattering, the as-grown sample exhibits phonon red shift; meanwhile, the coupling strength between electron and longitudinal optical phonon, determined by the ratio of second- to first-order Raman scattering cross sections, diminishes compared with the samples after postannealing at 350 and 500 degrees C. The size dependence of electron-phonon coupling is principally as a result of the Fr?hlich interaction.     

Chemical bonding, electron-phonon coupling, and structural transformations in high-pressure phases of Si

The nature of chemical bonding of the stable phases of Si at high pressure was analyzed. The effect of pressure is to promote sp electrons into the d orbitals, thus increasing the metallic character and reducing the dimensionality of covalent bonding. Localized covalent bonds, however, persist up to approximately 40 GPa (Si-VI, Cmca) and help to stabilize directional framework structures. At high pressures, Si becomes a metal, and the usual dense packed structures prevail. The existence of conducting and localized electrons gives rise to a combination of "steep and flat bands" near the Fermi level in Si-V. This peculiar electron topology in conjunction with low-frequency vibrations contributes to the relatively high superconducting temperature in Si-V and VI.     

Phonon thermal conductivity in nanolaminated composite metals via molecular dynamics

We use nonequilibrium molecular dynamics to characterize the phonon contribution to thermal conduction of Al nanostructures and the role of interfaces in metallic nanocomposites. We characterize the lattice thermal conductivity of pure Al samples as a function of size and temperature from which we obtain, using kinetic theory, the temperature dependence of the phonon mean free path. We also calculated the thermal conductivity of AlAl* and AlNi nanolaminate composites (where Al* differs from Al only in its mass) for various periodic sizes and compositions as well as the associated interfacial thermal resistivities (ITRs). We find that simple, additive models provide good estimates of the thermal conductivities of the nanocomposites in terms of those of the individual components and interfaces if size effects on the behavior of the individual components are considered. The additive models provide important insight to the decrease in thermal conductivity of the nanolaminates as their periodicity (thickness of a bilayer) is reduced to a size comparable with the phonon mean free path and break down when this characteristic size is reduced further. At this point the system can be regarded as homogeneous and the conductivity increases with decreasing periodicity of the laminates. We also observe that the ITR depends on the direction of the heat flux; this is the first molecular level characterization of such thermal diode behavior in a realistic three dimensional material.     

Single-mode electron-phonon coupling and optical lineshape analysis on a naphthalene x trap system

We measured the temperature dependence of the Debye-Waller factor for the phosphorescence of a special naphthalene X trap and performed a lineshape calculation of the phonon sideband based on a Morse oscillator. The experimental, as well as the theoretical, results agree with the assumption of a pseudo-localized mode.     

Excitation wavelength-dependent electron-phonon and electron-vibrational coupling in the CP29 antenna complex of green plants

Electron-phonon and electron-vibrational coupling strengths of a weakly (excitonically) coupled chlorophyll a S1-->S0 transition of the CP29 antenna complex of plant photosystem II were studied by difference fluorescence-line-narrowing spectroscopy at 4.5 K. A strong, almost linear increase of the electron-phonon coupling strength toward longer wavelengths was observed, with Huang-Rhys factors Sph increasing from 0.41+/-0.05 at 680 nm to about 0.66+/-0.07 at 688 nm. The former and latter wavelengths are located close to the peak and on the red edge of the inhomogeneous site distribution function, respectively. The experimentally obtained wavelength dependence of Sph may originate either from an alteration of the electron-phonon coupling strength by the local environment of the fluorescing chromophore and/or from the presence of two isoforms of CP29, which are characterized by different coupling strengths to the protein environment. The one-phonon profile peaks at omegam=22 cm(-1) and is described by an asymmetric function composed of a Gaussian low-energy wing and a Lorentzian high-energy tail with half-widths at half-maximum of 10+/-1 and 60+/-10 cm(-1), respectively. Thirty-nine individual vibrational modes between 90 and 1665 cm(-1) were resolved, and their Huang-Rhys factors were determined, which fall in the range between 0.0004 and 0.032. The broad feature present in the overlap region of phonon and vibrational modes at about 90 cm(-1) is characterized by S=0.048. An integral value of vibrational coupling strengths Svib=0.36+/-0.05 was determined, which is similar to that observed earlier for the trimeric LHC II complex.     

Green luminescence band in ZnO: fine structures, electron-phonon coupling, and temperature effect

The green emission band of ZnO has been investigated by both experimental and theoretical means. Two sets of equally separated fine structures with the same periodicity (close to the longitudinal optical (LO) phonon energy of ZnO) are well resolved in the low-temperature broad green emission spectra. As the temperature increases, the fine structures gradually fade out and the whole green emission band becomes smooth at room temperature. An attempt to quantitatively reproduce the variable-temperature green emission spectra using the underdamped multimode Brownian oscillator model taking into account the quantum dissipation effect of the phonon bath is done. Results show that the two electronic transitions strongly coupled to lattice vibrations of ZnO lead to the observed broad emission band with fine structures. Excellent agreement between theory and experiment for the entire temperature range enables us to determine the dimensionless Huang-Rhys factor characterizing the strength of electron-LO phonon coupling and the coupling coefficient of the LO and bath modes.     

Effect of electron-phonon coupling on the conductance of a one-dimensional molecular wire

The effect of inelastic scattering, particularly that of the electron-phonon interactions, on the current-voltage characteristics of a one-dimensional tight-binding molecular wire has been investigated. The wire has been modeled using the Su-Schreiffer-Heeger Hamiltonian and we compute the current using the Landauer's scattering formalism. Our calculations show that the presence of strong electron-lattice coupling in the wire can induce regions of negative differential resistance (NDR) in the I-V curves. The reasons for this can be traced back to the quasidegeneracy in few of the low-energy molecular levels in the presence of electron-phonon coupling and an external applied bias. The molecular levels become highly delocalized at the critical bias at which the NDR is seen, corresponding to the vanishing of the electron-phonon coupling with equal bond lengths.     

Coriolis coupling and nonadiabaticity in chemical reaction dynamics

The nonadiabatic quantum dynamics and Coriolis coupling effect in chemical reaction have been reviewed, with emphasis on recent progress in using the time-dependent wave packet approach to study the Coriolis coupling and nonadiabatic effects, which was done by K. L. Han and his group. Several typical chemical reactions, for example, H+D(2), F+H(2)/D(2)/HD, D(+)+H(2), O+H(2), and He+H(2)(+), have been discussed. One can find that there is a significant role of Coriolis coupling in reaction dynamics for the ion-molecule collisions of D(+)+H(2), Ne+H(2)(+), and He+H(2)(+) in both adiabatic and nonadiabatic context.     

Nonadiabatic quantum dynamics based on a hierarchical electron-phonon model: exciton dissociation in semiconducting polymers

A hierarchical electron-phonon coupling model is applied to describe the ultrafast decay of a photogenerated exciton at a donor-acceptor polymer heterojunction, via a vibronic coupling mechanism by which a charge-localized interfacial state is created. Expanding upon an earlier Communication [H. Tamura et al., J. Chem. Phys. 126, 021103 (2007)], we present a quantum dynamical analysis based on a two-state linear vibronic coupling model, which accounts for a two-band phonon bath including high-frequency C[Double Bond]C stretch modes and low-frequency ring torsional modes. Building upon this model, an analysis in terms of a hierarchical chain of effective modes is carried out, whose construction is detailed in the present paper. Truncation of this chain at the order n (i.e., 3n+3 modes) conserves the Hamiltonian moments (cumulants) up to the (2n+3)rd order. The effective-mode analysis highlights (i) the dominance of the high-frequency modes in the coupling to the electronic subsystem and (ii) the key role of the low-frequency modes in the intramolecular vibrational redistribution process that is essential in mediating the decay to the charge-localized state. Due to this dynamical interplay, the effective-mode hierarchy has to be carried beyond the first order in order to obtain a qualitatively correct picture of the nonadiabatic process. A reduced model of the dynamics, including a Markovian closure of the hierarchy, is presented. Dynamical calculations were carried out using the multiconfiguration time-dependent Hartree method.     

The effect of spin-orbit coupling on the surface dynamical properties and electron-phonon interaction of Tl(0001)

We present an ab initio study of the effect of spin-orbit coupling on the dynamical properties of the Tl(0001) surface as well as on the electron-phonon interaction at the surface. The calculations based on density-functional theory were carried out using a linear response approach and a mixed-basis pseudopotential method. It is shown that the spin-orbit effects on the phonon spectrum and the electron-phonon interaction at the Fermi level of the surface are weak but conspire to a reduction in the electron-phonon coupling strength by 16%.     

Effect of Coriolis coupling in chemical reaction dynamics

It is essential to evaluate the role of Coriolis coupling effect in molecular reaction dynamics. Here we consider Coriolis coupling effect in quantum reactive scattering calculations in the context of both adiabaticity and nonadiabaticity, with particular emphasis on examining the role of Coriolis coupling effect in reaction dynamics of triatomic molecular systems. We present the results of our own calculations by the time-dependent quantum wave packet approach for H + D2 and F(2P3/2,2P1/2) + H2 as well as for the ion-molecule collisions of He + H2 +, D(-) + H2, H(-) + D2, and D+ + H2, after reviewing in detail other related research efforts on this issue.     

Chaotic dynamics and vibrational mode coupling in small argon clusters

We have computed the local Kolmogorov entropy of molecular dynamics trajectory segments near the potential energy saddles of model Ar₃ and Ar₅ clusters. In the case of Ar₃ clusters bound with a Lennard-Jones potential, the local Kolmogorov entropy of the cluster is significantly smaller in the saddle region than in other areas of the potential surface. This behavior indicates an increase in the degree of nearly quasiperiodic motion near the Ar₃ saddle due to the partial decoupling of the cluster's vibrational modes there. Lennard-Jones Ar₅ clusters do not exhibit similar behavior, but Ar₅ clusters bound with a short-range Morse potential do. This suggests that the “regularizing” effect of saddle regions is strongly dependent on the shape of the energy surface near the saddle. From these observations, we can determine which features of the saddle are most important in this respect; the flatness of the saddle region seems to be one such feature.