W. P. Brug

Surface dynamics of NaCl(001) by inelastic He atom scattering

The relatively simple structure of alkali halide crystals has made these materials the paradigm for the understanding of the dynamics of ionic insulators. We have employed a time‐of‐flight (TOF) technique to determine the energy loss/gain due to single phonon creation/annihilation events in the scattering of He atoms from the NaCl(001) surface. From these data the surface dispersion curves over the ΓM region of the surface Brillouin zone have been constructed. The results compare favorably with both the slab dynamics and the Green’s function calculations reported for this crystal, and with previous measurements in the 〈100〉 direction. Of particular interest, we report the first evidence for the crossing mode in the 〈100〉 direction, which had been predicted for NaCl. Additionally, we have employed the TOF technique to examine the Debye‐Waller attenuation of the elastic (specular) intensity and the relative height of an inelastic multiphonon ‘‘foot’’ at the base of the specular beam as a function of the c...

Surface lattice dynamics of NiO (001) by inelastic He atom scattering

High‐resolution inelastic He atom scattering experiments, employing a time‐of‐flight (TOF) technique, have been carried out on NiO (001) in the 〈100〉 and 〈110〉 high symmetry directions. The targets were prepared by cleaving single‐crystal NiO in air and then baking in vacuum. Nearly all of the experiments reported here were carried out at a target temperature of 575 K, which is above the Neel point (TN = 523 K), and with He atom wave vectors in the range of 7–9 A−1 (25–45 meV). Because of these high temperatures, the peaks in the TOF spectra were found to be somewhat broader and the multiphonon background somewhat higher than in reported spectra from this instrument for alklai halide surfaces. Nonetheless, sufficient data were obtained to allow the determination of the Rayleigh wave almost to the Brillouin zone boundary. The results for this mode are found to be in good agreement with recently published, room‐temperature electron energy loss spectroscopy experiments. In contrast, there is a substantial di...

Surface lattice dynamics of the Rbl (001) crystal surface via inelastic he atom scattering

Abstract High-resolution He atom scattering experiments (HAS) are reported, which were carried out on a cleaved Rbl (001) surface (T s = 120K). The nearly monoenergetic ( Δv v ≈ 1%) He beam, produced from a high pressure nozzle source, was chopped into pulses for the analysis of the inelastic scattering by a time-of-flight (TOF) technique. The incident He atom energies employed in these studies ranged from 20 to 24 meV, corresponding to wavevectors of 6.2 to 6.8 A −1 . Data from single phonon annihilation and creation events were obtained in both the and surface high symmetry directions and used to construct the surface phonon dispersion curves. The experimental results are compared with previous theoretical calculations for this surface. In general, the observed Rayleigh wave is found to be in very good agreement. However, a crossing mode is found which was not predicted initially, but which has now been seen in the (001) surfaces of several other alkali halides. Perhaps most interesting is that the data support the existence of the predicted high-lying surface optical branch, S 2 , pushed above the optical bulk bands because of the surface relaxation. In addition, another newly discovered branch, extending about a third of the way from the M point to the \ gG point near the top of the acoustic band is probably also due to the surface relaxation. It is possibly associated with second layer vibrations.

Surface and bulk phonon‐assisted resonances with surface bound states in the inelastic scattering of He atoms on NaCl (001)

High‐resolution He atom scattering experiments have been carried out on the NaCl (001) surface in both the 〈100〉 and 〈110〉 surface high symmetry directions. Time‐of‐flight (TOF) arrival spectra of the inelastically scattered He atoms were analyzed to obtain the surface phonon dispersion curves. Several of the TOF peaks corresponding to Rayleigh mode phonons were found to have relatively large intensities and there appeared to be a number of well‐resolved peaks in the time‐of‐flight which did not correspond to surface‐localized modes when the data were compared with previous calculations for NaCl. These data appear to be associated with surface and bulk phonon‐assisted resonances with surface bound states. Analysis of these resonances yields results consistent with the four bound states of He on NaCl (001) which had been previously reported.

Surface phonon dispersion curves via thermal energy atom scattering: He atoms on RbCl(001) surface

A thermal energy atom scattering instrument, employing a time‐of‐flight technique to observe inelastically scattered He atoms, has been used to measure the surface phonon dispersion curves of the RbCl(001) surface. Data were collected over the entire Brillouin zone for a target temperature of 115 K and incident He wave vector of ki ≊7 A−1. The results for the 〈100〉 and 〈110〉 high‐symmetry directions are in good agreement with theoretical predictions based on a slab dynamics model calculation. Relaxation effects of the surface are negligible for this crystal.

Temperature dependence of He atom scattering from NaCl(001)

Abstract A nearly monoenergetic He atom beam was scattered from the NaCl(001) surface in the direction as a function of crystal temperature. The scattering in the specular direction was examined, employing a time-of-flight technique to separate the scattered elastic and inelastic He atom signals. The crystal temperature was varied from 120K to 670K, covering the range over which the scattering goes from mainly elastic to mostly multiphonon inelastic scattering. The elastic specular signal decreased with increasing crystal temperature in accordance with the Debye-Waller effect and eventually could no longer be detected. However, with increasing temperature the inelastic signal grew relative to the elastic signal and formed a well-defined “foot” directly around the elastic peak. A theory based on small energy exchanges in the collisions and the Debye model was developed which shows the main features of the measurements; namely, the behavior of the inelastic intensity and the FWHM of the foot as a function of target temperature.

Surface dynamics of CsF by He atom scattering

Abstract The dynamical behavior of the CsF(001) crystal surface was explored experimentally by He atom scattering. The time-of-flight method was used to energy analyze the inelastically scattered He atoms to obtain dispersion relations for the entire surface Brillouin zone for both the 〈100〉 and 〈110〉 high symmetry directions. Intense signals from the Rayleigh modes were found in both directions. Some evidence of a longitudinal acoustic mode was observed in the 〈110〉 direction. A few weak points that could be associated with an optical mode were also found in both directions. Finally, the results of CsF are compared with those of its “mirror” compound NaI.