“…There seems to be significant disagreement between different theories. The two experimental data sets yield rather similar values which agree more or less with theories in 13 , 14 . Notably, the theory of 23 is the only one yielding .…”
Section: Young’s Modulesupporting
confidence: 79%
“…For - , several independent DFT calculations agree within a few degrees 10 – 12 that is close to zero. The absolute angles derived from 13 ( 14 ) deviate a lot by about ( ) from these publications, but several theories yield values around 15 degrees. Figure 2 Comparison of the angular dependence of ( a , c , e ) (green), (red), (blue) and their sum (black) and of ( b , d , f ) (green), (red), (blue) and their sum (black) for various data sets of elastic constants of - from ( a , b ) 10 , ( c , d ) 13 , and ( e , f ) 18 .…”
Section: Numerical Results For
-
and
-
mentioning
confidence: 69%
“…For monoclinic gallia and alumina various sets of elastic constants have been reported from density functional theory (DFT) [10][11][12][13][14][15][16][17][18]24 , force-field simulation 23 and for gallia in experiment 18,23 , as listed in Table 1. For these sets we have calculated the angles θ C of the PA-R and θ S for the PA-D system as depicted in Fig.…”
Section: Numerical Results For β-Ga 2 O 3 and θ-Al 2 Omentioning
confidence: 99%
“…For the calculation of strained heterostructures 7 – 9 , of course the elastic constants are important input parameters. Various density functional theory based calculations of the elastic constants have been reported for the binary end components, - 10 – 14 , 18 , 24 and - 15 – 17 . Also, for - two sets of elastic constants have been determined experimentally 18 , 23 .…”
We discuss the principal axes systems of monoclinic and triclinic crystals regarding their elastic properties. Explicit formulas are presented for the orientation of these coordinate systems for monoclinic crystals. In this context, theoretical results from literature on the elastic properties of monoclinic (space group C2/m) gallia and alumina are critically discussed.
“…There seems to be significant disagreement between different theories. The two experimental data sets yield rather similar values which agree more or less with theories in 13 , 14 . Notably, the theory of 23 is the only one yielding .…”
Section: Young’s Modulesupporting
confidence: 79%
“…For - , several independent DFT calculations agree within a few degrees 10 – 12 that is close to zero. The absolute angles derived from 13 ( 14 ) deviate a lot by about ( ) from these publications, but several theories yield values around 15 degrees. Figure 2 Comparison of the angular dependence of ( a , c , e ) (green), (red), (blue) and their sum (black) and of ( b , d , f ) (green), (red), (blue) and their sum (black) for various data sets of elastic constants of - from ( a , b ) 10 , ( c , d ) 13 , and ( e , f ) 18 .…”
Section: Numerical Results For
-
and
-
mentioning
confidence: 69%
“…For monoclinic gallia and alumina various sets of elastic constants have been reported from density functional theory (DFT) [10][11][12][13][14][15][16][17][18]24 , force-field simulation 23 and for gallia in experiment 18,23 , as listed in Table 1. For these sets we have calculated the angles θ C of the PA-R and θ S for the PA-D system as depicted in Fig.…”
Section: Numerical Results For β-Ga 2 O 3 and θ-Al 2 Omentioning
confidence: 99%
“…For the calculation of strained heterostructures 7 – 9 , of course the elastic constants are important input parameters. Various density functional theory based calculations of the elastic constants have been reported for the binary end components, - 10 – 14 , 18 , 24 and - 15 – 17 . Also, for - two sets of elastic constants have been determined experimentally 18 , 23 .…”
We discuss the principal axes systems of monoclinic and triclinic crystals regarding their elastic properties. Explicit formulas are presented for the orientation of these coordinate systems for monoclinic crystals. In this context, theoretical results from literature on the elastic properties of monoclinic (space group C2/m) gallia and alumina are critically discussed.
“…Nanoindentation requires relatively large few micron-sized sample volumes, and the scarce data obtainable so far is summarized in Figure 18. Nanoindentation hardness ranges were indicated in Figure 18 for Pt [108], W [109], Co [110], Ga 2 O 3 [111], amorphous hydrogenated carbon [112], and polyethylene [113]. The nanoindentation hardness ranges of amorphous hydrogenated carbon were measured to vary from about 5 GPa (40 at.% H) to 21 GPa (30 at.% H) [112], while the polyethylene populates the low range from 0.022 GPa to 0.073 GPa, depending on density and molecular weight [113].…”
This article reviews the state-of-the -art of mechanical material properties and measurement methods of nanostructures obtained by two nanoscale additive manufacturing methods: gas-assisted focused electron and focused ion beam-induced deposition using volatile organic and organometallic precursors. Gas-assisted focused electron and ion beam-induced deposition-based additive manufacturing technologies enable the direct-write fabrication of complex 3D nanostructures with feature dimensions below 50 nm, pore-free and nanometer-smooth high-fidelity surfaces, and an increasing flexibility in choice of materials via novel precursors. We discuss the principles, possibilities, and literature proven examples related to the mechanical properties of such 3D nanoobjects. Most materials fabricated via these approaches reveal a metal matrix composition with metallic nanograins embedded in a carbonaceous matrix. By that, specific material functionalities, such as magnetic, electrical, or optical can be largely independently tuned with respect to mechanical properties governed mostly by the matrix. The carbonaceous matrix can be precisely tuned via electron and/or ion beam irradiation with respect to the carbon network, carbon hybridization, and volatile element content and thus take mechanical properties ranging from polymeric-like over amorphous-like toward diamond-like behavior. Such metal matrix nanostructures open up entirely new applications, which exploit their full potential in combination with the unique 3D additive manufacturing capabilities at the nanoscale.
This work reports a gallium indium alloy (EGaIn)‐doped SiBOC ceramic that possesses a unique liquid‐metal‐in‐ceramic feature. The low‐viscosity liquid nature of gallium‐based liquid metals (Ga‐LMs) and the reactive core‐shell structure provide possibilities for phase engineering inside polymer‐derived ceramics. As a demonstration, EGaIn nanoparticles (NPs) are directly mixed with a UV‐curable ceramic precursor (UV‐PBS) to obtain a resin suitable for digital light processing 3D‐printing. After pyrolysis at 800–1200 °C, SiBOC ceramics with uniformly distributed EGaIn NP domains (Si(GaIn)BOC) are obtained. EGaIn plays a key role in promoting carbonization and preventing crack formation during the polymer‐to‐ceramic process, resulting in an increase in both ceramic yield and mechanical strength. EGaIn NPs are also found to have a core‐shell structure (EGaIn@(GaxIn1‐x)2O3@SiBOC) inside the SiBOC matrix, which significantly enhances the dielectric properties and improves the interfacial polarization. As a result, an excellent electromagnetic wave absorption performance is achieved across the C, X, and Ku bands, respectively. Through rational design, a novel metastructure design based on the Schwarz P minimal surface is proposed, which exhibits an ultrawide effective absorption band extending up to 11.36 GHz (within C‐Ku bands).
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