Values Of Other Coefficients Research Articles

Few-Parameter Equation of State of Copper

A few-parameter equation of state in the Mie–Gruneisen form is proposed to describe shock compression of condensed matter. The equation is based on a postulated dependence of the Gruneisen coefficient on the specific volume and temperature Γ(V, T), which provides a qualitative description of compression of metal samples in strong shock waves. The curve of cold compression is found on the basis of the dependence Γ(V, T) with the use of a generalized formula for the Gruneisen function. Heat-induced oscillations of the crystal lattice are described in the Debye approximation. The resultant Gruneisen function has two free parameters. The values of other coefficients of the equation of state are determined from the reference data for matter under normal conditions and also from limiting values under extreme conditions. The model is tested by an example of copper. The derived equation of state describes the cold compression curve, normal isotherm, shock compressibility, as well as the copper unloading curves in density, pressure, and internal energy ranges for which experimental data are available. The thermodynamic characteristics of copper (isentropic modulus of volume compression, velocity of sound, Debye temperature, specific heat, linear expansion coefficient, and melting temperature) are calculated. Comparisons with available experimental data show that the proposed model, despite its simplicity, ensures a consistent description of a large array of experimental data in the region of high energy densities.

Magneto-elastic behaviour of a terbium single crystal

Abstract The ordinary anisotropic magnetostriction of rather small terbium single crystals in the ferro, antiferro and paramagnetic regions is reported. The small specimen thickness necessitated corrections to be made which amounted to an increase in the observed magnetostriction data of 14 %. The evaluation of this correction is discussed. The basal-plane magnetostriction coefficients obey the single-ion Il + 1/2 law (Callen and Callen 1965) over ferro and paramagnetic regions with normalization values of Other coefficients could not be measured in the ferromagnetic region because a large anisotropy confines magnetic moments to the basal plane. The coefficients λ∊2 and λ2 α,2 have been obtained in the paramagnetic region. Assuming the single-ion magnetization dependence, an extrapolation to 0°K yields the values: λ∊,2(0) = 20×10−3 and λ2 α,2(0) = 15 × 10−3.