Elastic constants of niobium‐molybdenum alloys in the temperature range −190 to +100°C

The adiabatic elastic constants were determined for niobium and niobium‐molybdenum alloys of the following nominal compositions: 15, 25, 35, 50, 75, and 90 wt.% Mo. The c11, c12, and c44 elastic constants of these bcc alloys were tabulated between −190 and +100°C. The effects of compositional changes on the elastic constants were far greater than those due to temperature. An anomalous temperature dependence for c44 was found for the niobium‐rich alloys. An analysis of the elastic constants in terms of central forces revealed that nearest‐and second‐nearest‐neighbor force constants rise with molybdenum additions, with the latter tending towards a maximum as the composition of pure molybdenum is approached. This is thought to be associated with the filling of a d subband. The Debye temperatures were computed and found to be generally in good agreement with the calorimetrically determined values reported in the literature.

[1]  D. Hayes,et al.  Anomalous temperature dependence of elastic constants in NbMo alloys , 1972 .

[2]  J. R. Stephens,et al.  ALLOY SOFTENING IN GROUP VIA METALS ALLOYED WITH RHENIUM , 1971 .

[3]  J. Christian,et al.  Slip in single crystals of niobium-molybdenum alloys deformed in compression , 1970 .

[4]  F. Ducastelle Modules élastiques des métaux de transition , 1970 .

[5]  D. Davidson,et al.  Plastic deformation of molybdenum-rhenium alloy crystals , 1970 .

[6]  E. Fisher,et al.  Relation of the c′ elastic modulus to stability of b.c.c. transition metals , 1970 .

[7]  R. Rose,et al.  The effect of small oxygen additions on the elastic constants and low temperature ultrasonic attenuation of Nb single crystals , 1969 .

[8]  E. A. Burgemeister,et al.  LOW TEMPERATURE SPECIFIC HEAT OF ANNEALED HIGH-PURITY NIOBIUM IN MAGNETIC FIELDS. , 1969 .

[9]  D. Davidson,et al.  Elastic Constants of Molybdenum-Rich Rhenium Alloys in the Temperature Range -190°C to +100°C , 1968 .

[10]  A. Woods,et al.  Lattice Dynamics of Niobium-Molybdenum Alloys , 1968 .

[11]  L. Graham,et al.  Third‐Order Elastic Constants of Single‐Crystal and Polycrystalline Columbium , 1968 .

[12]  R. Arsenault The double-kink model for low-temperature deformation of B.C.C. metals and solid solutions , 1967 .

[13]  M. Shimizu,et al.  Concentration Dependences of Elastic Constants and Debye Temperatures for Binary Alloys , 1967 .

[14]  R. T. Smith,et al.  Third-Order Elastic Moduli of Polycrystalline Metals from Ultrasonic Velocity Measurements , 1966 .

[15]  K. Carroll Elastic Constants of Niobium from 4.2° to 300°K , 1965 .

[16]  R. Wasilewski Elastic constants of Nb by resonance at sonic frequencies , 1965 .

[17]  N. M. Senozan,et al.  Evidence for two energy gaps in high-purity superconducting Nb, Ta, and V , 1965 .

[18]  M. Hansen,et al.  Constitution of binary alloys, first supplement , 1965 .

[19]  Sow-Hsin Chen,et al.  Lattice dynamics of molybdenum , 1964 .

[20]  H. A. Leupold,et al.  Superconducting and Normal Specific Heats of a Single Crystal of Niobium , 1964 .

[21]  P. H. Keesom,et al.  Specific Heat of Niobium between 0.4 and 4.2°K , 1964 .

[22]  R. N. Thurston,et al.  Third-Order Elastic Constants and the Velocity of Small Amplitude Elastic Waves in Homogeneously Stressed Media , 1964 .

[23]  A. Woods,et al.  LATTICE DYNAMICS OF NIOBIUM , 1963 .

[24]  F. Featherston,et al.  ELASTIC CONSTANTS OF TANTALUM, TUNGSTEN, AND MOLYBDENUM , 1963 .

[25]  F. Morin,et al.  Specific Heats of Transition Metal Superconductors , 1963 .

[26]  John B. Goodenough,et al.  Magnetism and the chemical bond , 1963 .

[27]  H. J. Goldschmidt,et al.  The constitution of the chromium-niobium-molybdenum system , 1961 .

[28]  H. J. Mcskimin,et al.  Pulse Superposition Method for Measuring Ultrasonic Wave Velocities in Solids , 1961 .

[29]  D. I. Bolef Elastic Constants of Single Crystals of the bcc Transition Elements V, Nb, and Ta , 1961 .

[30]  I. Isenberg Overlap Forces and Elastic Constants of Body-Centered Cubic Metals , 1951 .

[31]  C. Zener Contributions to the Theory of Beta-Phase Alloys , 1947 .

[32]  F. C. Nix,et al.  The Thermal Expansion of Pure Metals: Copper, Gold, Aluminum, Nickel, and Iron , 1941 .

[33]  K. Fuchs The Elastic Constants and Specific Heats of the Alkali Metals , 1936 .