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• W2016637227 endingPage "1527" @default.
• W2016637227 startingPage "1521" @default.
• W2016637227 abstract "Using experimental data on the entropy S at intermediate temperatures, corrected for an electronic term to get the vibrational entropy, we obtain well-defined and accurate ``entropy Debye temperatures'' FTHETA=${mathrm{FTHETA}}^{S}$. From ${mathrm{FTHETA}}^{S}$ we define a quantity with the dimension of a force constant, ${k}^{S}$==M(${k}_{B}$FTHETA/ensuremath{Elzxh}${)}^{2}$, where M is the atomic mass. Similarly, data on the low-temperature vibrational heat capacity and the elastic coefficients yield Debye temperatures ${mathrm{FTHETA}}^{C}$ and ${mathrm{FTHETA}}^{mathrm{elas}}$ and corresponding force constants ${k}^{C}$ and ${k}^{mathrm{elas}}$. The ratios of ${k}^{S}$ for the 4d-5d pairs Zr,Hf, Nb,Ta, Mo,W, Tc,Re, Ru,Os, Rh,Ir, and Pd,Pt are remarkably constant, (${k}^{S}$${)}^{4d}$/(${k}^{S}$${)}^{5d}$ =0.76ifmmodepmelsetextpmfi{}0.01, in spite of varying crystal structures. Further, (${k}^{C}$${)}^{4d}$/(${k}^{C}$${)}^{5d}$ =0.70ifmmodepmelsetextpmfi{}0.07 and (${k}^{mathrm{elas}{)}^{4d}/({k}^{mathrm{elas}{)}^{5d}}}$ =0.69ifmmodepmelsetextpmfi{}0.08. The corresponding force-constant ratios ${k}^{3d}$/${k}^{4d}$ vary more. This correlates with an approximately constant atomic-volume ratio ${ensuremath{Omega}}^{4d}$/${ensuremath{Omega}}^{5d}$=0.99ifmmodepmelsetextpmfi{}0.02, while ${ensuremath{Omega}}^{3d}$/${ensuremath{Omega}}^{4d}$=0.81ifmmodepmelsetextpmfi{}0.05 shows irregularities, mainly of magnetic origin. As a basis for our analysis, we review low-temperature Debye temperatures ${mathrm{FTHETA}}^{mathrm{elas}}$ and ${mathrm{FTHETA}}^{C}$ and the bulk modulus B of the transition metals." @default.
• W2016637227 created "2016-06-24" @default.
• W2016637227 creator A5055046311 @default.
• W2016637227 creator A5091040570 @default.
• W2016637227 date "1989-07-15" @default.
• W2016637227 modified "2023-10-09" @default.
• W2016637227 title "Homology of interatomic forces and Debye temperatures in transition metals" @default.
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• W2016637227 doi "https://doi.org/10.1103/physrevb.40.1521" @default.
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