An analysis of the molecular dynamics of ethanol solvated by water molecules in the absence and presence of a Pt surface has been performed using DL_POLY_2.19 code. The structure and diffusion properties of an ethanol...An analysis of the molecular dynamics of ethanol solvated by water molecules in the absence and presence of a Pt surface has been performed using DL_POLY_2.19 code. The structure and diffusion properties of an ethanol–water system have been studied at various temperatures from 250 to 600 K. We have measured the self-diffusion coefficients of the 50:50% ethanol–water solution;in the absence of a Pt surface our results show an excellent agreement–within an error of 7.4% – with the experimental data. An increase in the self-diffusion coefficients with the inclusion of a Pt surface has been observed. The estimation of the diffusion coefficients of both water and ethanol in the presence of a Pt surface shows that they obey the Arrhenius equation;the calculated activation energies of diffusion of ethanol and water are 2.47 and 2.98 Kcal/mole, respectively. The radial distribution function graphs and density profiles have been built;their correlations with the self-diffusion coefficients of both ethanol and water molecules are also illustrated.展开更多
The following results are obtained: (1) The graph Cm^m· Pt is odd arithmetic when (i) m ≡ 0 (mod 2) and t=m or m + 1; (ii) m ≡ 1 (mod 2) and t=m + 1. (2) The graph C2m^m is odd arithmetic when (...The following results are obtained: (1) The graph Cm^m· Pt is odd arithmetic when (i) m ≡ 0 (mod 2) and t=m or m + 1; (ii) m ≡ 1 (mod 2) and t=m + 1. (2) The graph C2m^m is odd arithmetic when (i) m=2,4 and n is any positive integer; (ii) m=3 and n is even. (3) The graph Cm^m, is odd arithmetic when m=4n and t=2. (4) Pm+1^n is odd arithmetic when (i) n is odd; (ii) m 〈 3 and n is any positive integer. (5) Windmill graph Kn^t is odd arithmetic if and only if n=2. (6) Cycle Cn is odd arithmetic if and only if n ≡ 0 (mod 4). (7) For any positive integer n and any positive integer m, Km,n is odd arithmetic.展开更多
文摘An analysis of the molecular dynamics of ethanol solvated by water molecules in the absence and presence of a Pt surface has been performed using DL_POLY_2.19 code. The structure and diffusion properties of an ethanol–water system have been studied at various temperatures from 250 to 600 K. We have measured the self-diffusion coefficients of the 50:50% ethanol–water solution;in the absence of a Pt surface our results show an excellent agreement–within an error of 7.4% – with the experimental data. An increase in the self-diffusion coefficients with the inclusion of a Pt surface has been observed. The estimation of the diffusion coefficients of both water and ethanol in the presence of a Pt surface shows that they obey the Arrhenius equation;the calculated activation energies of diffusion of ethanol and water are 2.47 and 2.98 Kcal/mole, respectively. The radial distribution function graphs and density profiles have been built;their correlations with the self-diffusion coefficients of both ethanol and water molecules are also illustrated.
基金the Natural Science Foundation of Hebei Province and Mathematical Center (No. 08M002).
文摘The following results are obtained: (1) The graph Cm^m· Pt is odd arithmetic when (i) m ≡ 0 (mod 2) and t=m or m + 1; (ii) m ≡ 1 (mod 2) and t=m + 1. (2) The graph C2m^m is odd arithmetic when (i) m=2,4 and n is any positive integer; (ii) m=3 and n is even. (3) The graph Cm^m, is odd arithmetic when m=4n and t=2. (4) Pm+1^n is odd arithmetic when (i) n is odd; (ii) m 〈 3 and n is any positive integer. (5) Windmill graph Kn^t is odd arithmetic if and only if n=2. (6) Cycle Cn is odd arithmetic if and only if n ≡ 0 (mod 4). (7) For any positive integer n and any positive integer m, Km,n is odd arithmetic.