2010
DOI: 10.1103/physrevb.82.195441
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Percolation of thermal conductivity in amorphous fluorocarbons

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Cited by 21 publications
(12 citation statements)
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“…This is remarkably similar to a number of common polymers measured in the range of 0.1-0.25 W m -1 K -1 . 29,[87][88][89] The sheer mass and number of atoms comprising of the F21PA molecule, as it becomes large enough to accommodate internal scattering, may account for this similarity between the effective thermal conductivity of the molecule and larger polymer species. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Figure 6.…”
Section: Acs Paragon Plus Environmentmentioning
confidence: 99%
“…This is remarkably similar to a number of common polymers measured in the range of 0.1-0.25 W m -1 K -1 . 29,[87][88][89] The sheer mass and number of atoms comprising of the F21PA molecule, as it becomes large enough to accommodate internal scattering, may account for this similarity between the effective thermal conductivity of the molecule and larger polymer species. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Figure 6.…”
Section: Acs Paragon Plus Environmentmentioning
confidence: 99%
“…Although basic rigidity theory predicts that the elastic modulus goes to zero below r c , this is not the case in experiment due to the presence of dihedral angle and VDW forces that contribute an underlying elasticity (He and Thorpe, 1985). In other hydrogenated/fluorinated materials, the Young's modulus/hardness tends toward zero at r c in the case of a-C:H/a-C:F (Ghossoub et al, 2010;King et al, 2013) or finite yet very low values below r c in the case of a-SiC:H/a-SiOC:H (Ross and Gleason, 2005;Trujillo et al, 2010;King et al, 2013), yet in a-BC:H, it remains relatively high. This "superatom" system is unique in that, in addition to VDW and related forces, we must also consider the intrinsic rigidity of the icosahedra as well as the fact that boron-based covalent bonds are extremely strong.…”
Section: Resultsmentioning
confidence: 96%
“…Rigidity threshold phenomena have also been investigated in other classes of materials wherein the incorporation of terminal hydrogen atoms or other groups is used to alter network connectivity, including a-Si:H (Kuschnereit et al, 1995), a-C:H (Boolchand et al, 1996), a-C:F (Ghossoub et al, 2010), a-SiC:H (King et al, 2013), a-SiCN:H (Gerstenberg and Taube, 1989), and a-SiOC:H (Ross and Gleason, 2005;Trujillo et al, 2010), with a few of these studies (Ross and Gleason, 2005;Trujillo et al, 2010;King et al, 2013) showing a convincing transition point, including via experimental modulus data. Finally, rigidity thresholds have been demonstrated in more complex materials such as proteins , zeolites (Sartbaeva et al, 2006), and cements (Bauchy et al, 2015), albeit only computationally.…”
Section: Introductionmentioning
confidence: 99%
“…These exceptional properties arise from the highly cross‐linked molecular structure of this polymer coating. We also correlate these results with documented mechanical property data, and propose a design principle based on the concept of percolation of rigidity13, 14 to guide the synthesis of an all‐organic conformal coating that provides high modulus and hardness simultaneously with flexibility.…”
mentioning
confidence: 89%
“…This combination of flexibility and crack resistance with the high modulus, hardness and scratch resistance of these films is believed to arise in part from the underlying architecture of their covalent bonding structures. The concept of percolation of rigidity, first developed by Philips and further studied by many researchers,13, 14 is one measure of this property that was applied to both organic and inorganic materials. It defines a compositional transition from an underconstrained (non‐rigid) state to a constrained (rigid) one.…”
mentioning
confidence: 99%