**Published:** Jan 2010

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**Source: **STP1523-EB

The present work considers possibilities of mathematics for separating roles of certain solved elements in influencing the body-centered cubic (BCC) lattice period of α-Fe alloys. The used approach is based on the Vegard's law describing a lattice parameter of a solid solution as a linear function of its components concentrations. Binary and ternary α-Fe alloys involving low concentrations of alloying elements and impurities were prepared without expensive and extensive metallurgical methods of purification. Based on equilibrium phase diagrams of binary systems, conditions of quenching from a single-phase field were chosen for each alloy to provide maximum solubility of its components. The lattice period of the alloys was investigated by standard X-ray analysis and then approximated by linear function of several variables. As a result, there were obtained linear coefficients characterizing the influence of P, S, Si, Sn, Al, Ni, Cr, Mo, B on the period of the BCC lattice of α-Fe.

**Keywords:**

ferrous, crystal lattice parameters, solid solution, X-ray diffraction method, regression analysis

**Author Information:**

Filippova, V. P.*I. P. Bardin Central Research Institute of Ferrous Metallurgy, Moscow,*

**Paper ID:** STP49154S

**Committee/Subcommittee:** D02.03

**DOI:** 10.1520/STP49154S