Erratum to: “The role of surface stress in reconstruction, epitaxial growth and stabilization of mesoscopic structures” [Surf. Sci. Rep. 29 (1997) 193]

Ibach, H.

doi:10.1016/s0167-5729(99)00008-4

Cited by 235 publications

(351 citation statements)

References 8 publications

Supporting

Mentioning

325

Contrasting

Order By: Relevance

“…Surface stresses, measured by a variety of methods, for metals are usually tensile and relatively large, in the range of 2 N/m. 3,4) These are of course strongly influenced by the details of any surface reconstruction and the adsorption of foreign species, hence whether or not the surface is cleaned to the high standards of ultrahigh vacuum (UHV) conditions. If such a stress is present on the surface of a spherical particle of radius R, the surface stress S will give rise to a pressure difference ÁP between the inside and outside, according to the classical Gibbs-Thomson equation, otherwise known as the Young-Laplace equation, used to explain the stability of soap bubbles among many other applications:…”

Section: Structure Of Nanoparticlesmentioning

confidence: 99%

“…Most metal surfaces have positive, ''tensile'' surface stress due to the electronic contributions. 4) A simple explanation, often called ''Smoluchowski smoothing'', 30) is that a broken metal crystal will have rough boundaries of its Wigner-Seitz unit cells filled with electron density; when this redistributes to form a smoother boundary, the centre of mass of the electron density retracts inwards and Coulomb forces will cause a net inward contraction of the surface atoms leading to stress. This also leads to an inward relaxation of the surface metal ion core positions widely seen in the structure of metal surfaces.…”

Section: Structure Of Larger Nanoparticlesmentioning

confidence: 99%

See 1 more Smart Citation

Nanoparticle Structure by Coherent X-ray Diffraction

Robinson

2013

J. Phys. Soc. Jpn.

View full text Add to dashboard Cite

This review examines the physical reasons why nanoparticles differ in structure from the bulk. Certain simple properties of nanoparticles are explained through these structural differences. A powerful method of measuring the three dimensional structure of nanoparticles, Coherent X-ray diffraction (CXD), is introduced. A key experiment is described that uses CXD to study the redistribution of strains on the surface of a Au nanocrystal. Some future perspectives are discussed in conclusion.

show abstract

Section: Structure Of Nanoparticlesmentioning

confidence: 99%

Section: Structure Of Larger Nanoparticlesmentioning

confidence: 99%

Nanoparticle Structure by Coherent X-ray Diffraction

Robinson

2013

J. Phys. Soc. Jpn.

View full text Add to dashboard Cite

show abstract

“…Cn, 64.75.Yz, 68.37.Nq, 05.70.Jk It is well known that surface stress may give rise to periodic structural modulations [1]. The most common examples are surface recontructions on clean and adsorbatecovered crystal faces.…”

mentioning

confidence: 99%

Stress Induced Stripe Formation inPd/W(110)

Locatelli

Aballe

et al. 2008

Phys. Rev. Lett.

View full text Add to dashboard Cite

A stress-induced stripe phase of submonolayer Pd on W(110) is observed by low-energy electron microscopy. The temperature dependence of the pattern is explained by the change both in the boundary free energy and elastic relaxation energy due to the increasing boundary width. The stripes are shown to disorder when the correlation length of the condensed phase becomes comparable to its period, while the condensate to lattice-gas transition takes place at a higher temperature, as revealed by low-energy electron diffraction.PACS numbers: 64.60. Cn, 64.75.Yz, 68.37.Nq, 05.70.Jk It is well known that surface stress may give rise to periodic structural modulations [1]. The most common examples are surface recontructions on clean and adsorbatecovered crystal faces. In the presence of competing longrange and short-range interactions, restructuring of the surface can take place at mesoscopic length scales [2].Several experiments have shown the formation of mesoscopic patterns as a result of elastic interactions. Examples include (2 × 1)-O domains on Cu(110) [3], ordered two-dimensional (2D) islands of Ag on Pt(111) [4], stripes of alternating dimer direction on Boron doped Si(001) [5,6], square patterns of N/Cu(100) [7], stripe domains of Pb/Cu(111) [8], and Au stripes on W(110) [9]. In all these cases, the length scales of the periodic modulations range from a few to hundreds of nanometers, well above the atomic distances. This is understood within the analytical theory [2], which states that the period of a given stripe pattern depends exponentially on the ratio of the short-range (boundary) and long-range (elastic) interaction energies. The period D can be written aswhere a is a microscopic length, C 1 is the formation energy of the stripe boundary, and C 2 is the prefactor of the energy gained by the elastic relaxation due to the formation of stripes [2]. The prefactor of the exponent comes from a smearing of the stripe boundaries, and so is related to the boundary width. This result is identical to that obtained for magnetic layers with dipolar interactions [10,11]. We note that the correspondence between the dipolar Ising lattice and the 2D lattice gas is oneto-one, as the elastic interaction energy between lattice defects scales as 1/r 3 [12]. Studies of mesoscopic patterns show that the periodicity varies strongly with temperature. Moreover, there exists a transition temperature, at which the stripe phase disappears. This temperature dependence has been attributed to the reduction of the boundary free energy through density fluctuations as the disordering temperature is approached [13]. Earlier work on Ising spin lattices showed that the effect of fluctuations can be introduced by an entropic term, which results in a temperature dependent period for the magnetic stripes [14].The density fluctuations, which reduce the boundary free energy, also increase the boundary (or domain wall) width with increasing temperature [15]. Gehring and Keskin took this broadening into consideration, and they argued that the stripe...

show abstract

“…13 The development of film stress during deposition was monitored by using an optical beam deflection method on substrates cut in the shape of a cantilever. Changes in the substrate curvature can be directly related to the accumulated stress by the well-known Stoney equation revised for biaxial stress: 15 …”

Section: Methodsmentioning

confidence: 99%

Stress and magnetoelastic properties control of amorphous Fe80B20 thin films during sputtering deposition

Fernández-Martínez

Costa‐Krämer

Briones

2008

Journal of Applied Physics

View full text Add to dashboard Cite

In situ stress measurements during sputtering deposition of amorphous Fe 80 B 20 films are used to control their stress and magnetoelastic properties. The substrate curvature induced by the deposited film is measured optically during growth and quantitatively related to the deposition induced accumulated stress. The resulting magnetic properties are later correlated with the measured stress for a wide range of sputtering pressures ͓͑2−25͒ ϫ 10 −3 mbar͔. A significant tensile stress develops at the film-substrate interface during the early growth stages ͑initial 2-3 nm͒. At a critical thickness, a transition is observed from tensile to compressive stress, which is associated with amorphous island coalescence. By further increasing the thickness, a compressive stress follows, which is related to the local distortion induced by the ion peening effect. The Monte Carlo simulations of the sputtering process describe quantitatively the experimental results as a function of the Ar pressure and target bias voltage.

show abstract

Erratum to: “The role of surface stress in reconstruction, epitaxial growth and stabilization of mesoscopic structures” [Surf. Sci. Rep. 29 (1997) 193]

Cited by 235 publications

References 8 publications

Nanoparticle Structure by Coherent X-ray Diffraction

Nanoparticle Structure by Coherent X-ray Diffraction

Stress Induced Stripe Formation inPd/W(110)

Stress and magnetoelastic properties control of amorphous Fe80B20 thin films during sputtering deposition

Contact Info

Product

Resources

About