“…63 The quantum effect is a crucial attribute of a nanoscale system since the dangling bonds on the free surface of nanomaterials would induce obvious variations in atoms besides the bond length change. 52 However, such an effect at atomic scales is difficult to be characterized by continuum approaches and MD simulations. Further investigations on the mechanical behavior of nanomaterials need to consider quantum effects.…”
Section: Resultsmentioning
confidence: 99%
“…The Lagrangian surface energy density / 0 in the reference configuration can be divided into a structural part / stru 0 related to the surface strain energy and a chemical part / chem 0 originating from the surface dangling-bond energy, 43,52,53 …”
Section: -2mentioning
confidence: 99%
“…E b is the constant Young's modulus of bulk solids, k i ¼ a ri =a 0i denotes the surface relaxation parameter, e si ¼ ða i À a ri Þ=a ri is the surface strain induced only by the external loading; m is a parameter describing the dependence of bond lengths on the binding energy (m ¼ 4 for alloys or compounds and m ¼ 1 for pure metals). 52 Detailed derivations of Eq. (6) can be found in Ref.…”
Articles you may be interested inA recently developed continuum theory considering surface effect in nanomaterials is adopted to investigate the resonant properties of nanowires with different boundary conditions in the present paper. The main feature of the adopted theory is that the surface effect in nanomaterials is characterized by the surface energy density of the corresponding bulk materials and the surface relaxation parameter in nanoscale. Based on a fixed-fixed beam model and a cantilever one, the governing equation of resonant frequency for corresponding nanowires is obtained. Numerical calculation of the fundamental resonant frequency is carried out, the result of which is well consistent with the existing numerical ones. Comparing to the result predicted by the conventionally structural dynamics, the resonant frequency of a fixed-fixed nanowire is improved, while that of a cantilever nanowire is weakened due to the surface effect. Both a decreasing characteristic size (height or diameter) and an increasing aspect ratio could further enhance the varying trend of resonant properties for both kinds of nanowires. The present result should be helpful for the design of nano-devices and nanostructures related to nanowires. V C 2015 AIP Publishing LLC.
“…63 The quantum effect is a crucial attribute of a nanoscale system since the dangling bonds on the free surface of nanomaterials would induce obvious variations in atoms besides the bond length change. 52 However, such an effect at atomic scales is difficult to be characterized by continuum approaches and MD simulations. Further investigations on the mechanical behavior of nanomaterials need to consider quantum effects.…”
Section: Resultsmentioning
confidence: 99%
“…The Lagrangian surface energy density / 0 in the reference configuration can be divided into a structural part / stru 0 related to the surface strain energy and a chemical part / chem 0 originating from the surface dangling-bond energy, 43,52,53 …”
Section: -2mentioning
confidence: 99%
“…E b is the constant Young's modulus of bulk solids, k i ¼ a ri =a 0i denotes the surface relaxation parameter, e si ¼ ða i À a ri Þ=a ri is the surface strain induced only by the external loading; m is a parameter describing the dependence of bond lengths on the binding energy (m ¼ 4 for alloys or compounds and m ¼ 1 for pure metals). 52 Detailed derivations of Eq. (6) can be found in Ref.…”
Articles you may be interested inA recently developed continuum theory considering surface effect in nanomaterials is adopted to investigate the resonant properties of nanowires with different boundary conditions in the present paper. The main feature of the adopted theory is that the surface effect in nanomaterials is characterized by the surface energy density of the corresponding bulk materials and the surface relaxation parameter in nanoscale. Based on a fixed-fixed beam model and a cantilever one, the governing equation of resonant frequency for corresponding nanowires is obtained. Numerical calculation of the fundamental resonant frequency is carried out, the result of which is well consistent with the existing numerical ones. Comparing to the result predicted by the conventionally structural dynamics, the resonant frequency of a fixed-fixed nanowire is improved, while that of a cantilever nanowire is weakened due to the surface effect. Both a decreasing characteristic size (height or diameter) and an increasing aspect ratio could further enhance the varying trend of resonant properties for both kinds of nanowires. The present result should be helpful for the design of nano-devices and nanostructures related to nanowires. V C 2015 AIP Publishing LLC.
“…They predicted that the smaller the particle size is, the larger lattice contraction would be. 15 Therefore, the lattice contraction for nanoparticles in our result may lead to the decrease of magnetic anisotropy constant and the relatively lower value of coercivity compared with continuous or granular structure.…”
Section: Methodsmentioning
confidence: 69%
“…The significant decrease of the coercivity can be explained as the particle size reduction with increasing the TiN content. Sun et al [15][16][17] reported the lattice contracts due to the imperfection in coordination number at the surface or interface of the nanoscale particles. They predicted that the smaller the particle size is, the larger lattice contraction would be.…”
[Co(0.2 nm)/Pd(0.8 nm)] 20 multilayered films on 15 nm Pd-TiN seed layers were fabricated by dc magnetron sputtering without heating the substrate. The effects of TiN content on microstructure and magnetic properties of the [Co/Pd] multilayered media were studied. By increasing the TiN content in the Pd-TiN seed layer to an optimum level, coercivity of the [Co/Pd] multilayered media increased to 6.7 kOe. However, further increase of TiN content beyond 22 vol % reduced coercivity (Hc), implying that there exists a critical TiN concentration to enhance the magnetic property of the [Co/Pd] multilayered media. Transmission electron microscopic observations revealed that well-isolated [Co/Pd] multilayered grains with apparent grain boundaries were achieved by controlling the TiN content in the Pd-TiN seed layer. The average grain diameter was 8 nm with a dispersion of 11.2%, grown on the Pd-TiN seed layer with TiN content of 22 vol %.
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