Neutron diffraction study of interaction between amorphous and crystalline C60 fullerenes and aluminum

Effect of the Interface on the Compressibility of Substances with Spherical Nano-Inhomogeneities on the Example of Al/C60

“…At R 2 − R = 4σ, Formulaes ( 8) and (10) give a difference in the calculation results within an error of 10%. This corresponds to a volume fraction of fullerenes, ν C 60 = 1.7%, and a weight fraction of fullerenes, µ C 60 = 3.8%.…”

“…In the expression for free energy [see Equation ( 4)], as the state with zero free energy, we chose the state of the melt with a cavity in it, where a spherical particle was then incorporated. The work spent on creating a spherical cavity of radius R 1 can be estimated using Expression (10), where the free energy F c is calculated using the parameters M and σ M of the interaction potential between matrix atoms. For aluminum, M = 0.1743 eV and σ M = 2.925 Å [42].…”

“…where the formulae for calculating the surface tension coefficient of the matrix, γ 0 , and the Tolman length δ can be obtained directly from (10):…”

“…Al/C 60 composites have been developed and examined in [5][6][7][8][9][10][11][12][13][14]. Theoretical studies of the dependence of energy on strain have made it possible to assess the values of the "bulk modulus" and "Young's modulus" of fullerenes, which are about 800 GPa and 2000 GPa, respectively [15][16][17][18].…”