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1

Kimura, Hiroshi. "Hydrogen in metals, especially in BCC metals." Bulletin of the Japan Institute of Metals 26, no. 7 (1987): 624–27. http://dx.doi.org/10.2320/materia1962.26.624.

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2

Kimura, H. "Intergranular Fracture in BCC Metals." Transactions of the Japan Institute of Metals 29, no. 7 (1988): 521–39. http://dx.doi.org/10.2320/matertrans1960.29.521.

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3

Heo, N. H., Sang Bae Kim, K. H. Chai, Y. S. Choi, and S. S. Cho. "Nucleation in Rolled BCC Metals." Materials Science Forum 408-412 (August 2002): 857–62. http://dx.doi.org/10.4028/www.scientific.net/msf.408-412.857.

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4

Moruzzi, V. L., and P. M. Marcus. "Magnetism in bcc 3dtransition metals." Journal of Applied Physics 64, no. 10 (November 15, 1988): 5598–600. http://dx.doi.org/10.1063/1.342293.

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5

Voyiadjis, George Z., Amin H. Almasri, and Taehyo Park. "Experimental nanoindentation of BCC metals." Mechanics Research Communications 37, no. 3 (April 2010): 307–14. http://dx.doi.org/10.1016/j.mechrescom.2010.02.001.

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6

Krenn, C. R., D. Roundy, J. W. Morris, and Marvin L. Cohen. "Ideal strengths of bcc metals." Materials Science and Engineering: A 319-321 (December 2001): 111–14. http://dx.doi.org/10.1016/s0921-5093(01)00998-4.

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7

Raabe, D., and K. Lücke. "Annealing textures of BCC metals." Scripta Metallurgica et Materialia 27, no. 11 (December 1992): 1533–38. http://dx.doi.org/10.1016/0956-716x(92)90140-a.

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8

Suzuki, T., Y. Kamimura, and H. O. K. Kirchner. "Plastic homology of bcc metals." Philosophical Magazine A 79, no. 7 (July 1999): 1629–42. http://dx.doi.org/10.1080/01418619908210383.

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9

SUZUKI, Y. KAMIMURA, H. O. K. KIRCH, T. "Plastic homology of bcc metals." Philosophical Magazine A 79, no. 7 (July 1, 1999): 1629–42. http://dx.doi.org/10.1080/014186199251931.

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10

N.T. Hoa, Vu Van Hung,, and Jaichan Lee. "Equation of state and thermodynamic properties of BCC metals." ASEAN Journal on Science and Technology for Development 23, no. 1&2 (October 30, 2017): 27. http://dx.doi.org/10.29037/ajstd.86.

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The moment method in statistical dynamics is used to study the equation of state and thermodynamic properties of the bcc metals taking into account the anharmonicity effects of the lattice vibrations and hydrostatic pressures. The explicit expressions of the lattice constant, thermal expansion oefficient, and the specific heats of the bcc metals are derived within the fourth order moment approximation. The termodynamic quantities of W, Nb, Fe,and Ta metals are calculated as a function of the pressure, and they are in good agreement with the corresponding results obtained from the first principles calculations and experimental results. The effective pair potentials work well for the calculations of bcc metals.
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11

Jin, Hak Son, and An Du. "End Processing of MAEAM Pair Potential for BCC Metals." Advanced Materials Research 424-425 (January 2012): 568–72. http://dx.doi.org/10.4028/www.scientific.net/amr.424-425.568.

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An end processing function of the pair-potential of modified analytical embedded atom method (MAEAM) was suggested for bcc metals. Through fitting the elastic constants, cohesive energy and an equilibrium condition of bcc metal crystals correctly, we changed the pair-potential parameters and the modification term parameter of the multi-body potential. The model calculations fully demonstrate the structure stabilities and the phonon dispersion curves of seven bcc transition metals: Cr, Fe, Mo, Nb, Ta, V and W.
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12

ZHU HUI-LONG and HUANG ZU-QIA. "MIGRATION OF VACANCIES IN BCC METALS." Acta Physica Sinica 36, no. 9 (1987): 1122. http://dx.doi.org/10.7498/aps.36.1122.

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13

Weinberger, C. R., B. L. Boyce, and C. C. Battaile. "Slip planes in bcc transition metals." International Materials Reviews 58, no. 5 (June 2013): 296–314. http://dx.doi.org/10.1179/1743280412y.0000000015.

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14

Sakamoto, Y., K. Baba, and T. Suehiro. "Diffusion of hydrogen in BCC metals." Scripta Metallurgica 19, no. 7 (July 1985): 871–74. http://dx.doi.org/10.1016/0036-9748(85)90210-8.

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15

Frolov, T., W. Setyawan, R. J. Kurtz, J. Marian, A. R. Oganov, R. E. Rudd, and Q. Zhu. "Grain boundary phases in bcc metals." Nanoscale 10, no. 17 (2018): 8253–68. http://dx.doi.org/10.1039/c8nr00271a.

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Evolutionary grand-canonical search predicts novel grain boundary structures and multiple grain boundary phases in elemental body-centered cubic (bcc) metals represented by tungsten, tantalum and molybdenum.
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16

Setyawan, Wahyu, Aaron P. Selby, Niklas Juslin, Roger E. Stoller, Brian D. Wirth, and Richard J. Kurtz. "Cascade morphology transition in bcc metals." Journal of Physics: Condensed Matter 27, no. 22 (May 18, 2015): 225402. http://dx.doi.org/10.1088/0953-8984/27/22/225402.

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17

Johnson, R. A., and D. J. Oh. "Analytic embedded atom method model for bcc metals." Journal of Materials Research 4, no. 5 (October 1989): 1195–201. http://dx.doi.org/10.1557/jmr.1989.1195.

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The requirements for fitting bcc metals within the EAM format are discussed and, for comparative purposes, the EAM format is cast in a normalized form. A general embedding function is defined and an analytic first- and second-neighbor model is presented. The parameters in the model are determined from the cohesive energy, the equilibrium lattice constant, the three elastic constants, and the unrelaxed vacancy formation energy. Increasing the elastic constants, increasing the elastic anisotropy ratio, and decreasing the unrelaxed vacancy formation energy favor stability of a close-packed lattice over bcc. A stable bcc lattice relative to close packing is found for nine bcc metals, but this scheme cannot generate a model for Cr because the elastic constants of Cr require a negative curvature of the embedding function.
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18

Raabe, Dierk, and K. Lücke. "Rolling and Annealing Textures of BCC Metals." Materials Science Forum 157-162 (May 1994): 597–610. http://dx.doi.org/10.4028/www.scientific.net/msf.157-162.597.

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19

Neumann, Gerhard, and C. Tuijn. "Self-Diffusion: Self-Diffusion in BCC Metals." Solid State Phenomena 88 (November 2002): 40–50. http://dx.doi.org/10.4028/www.scientific.net/ssp.88.40.

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20

Agarwala, R. P., and D. D. Pruthi. "High Temperature Diffusion Mechanism in bcc Metals." Defect and Diffusion Forum 66-69 (January 1991): 365–70. http://dx.doi.org/10.4028/www.scientific.net/ddf.66-69.365.

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21

Farkas, Diana, and Brian Hyde. "Improving the Ductility of Nanocrystalline bcc Metals." Nano Letters 5, no. 12 (December 2005): 2403–7. http://dx.doi.org/10.1021/nl0515807.

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22

Weygand, Daniel, Matous Mrovec, Thomas Hochrainer, and Peter Gumbsch. "Multiscale Simulation of Plasticity in bcc Metals." Annual Review of Materials Research 45, no. 1 (July 2015): 369–90. http://dx.doi.org/10.1146/annurev-matsci-070214-020852.

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23

HASEBE, Tadashi. "Anomaly in Bauschinger Effect for BCC Metals." Proceedings of The Computational Mechanics Conference 2003.16 (2003): 415–16. http://dx.doi.org/10.1299/jsmecmd.2003.16.415.

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24

Johnson, P. B., and D. J. Mazey. "Gas-bubble superlattice formation in bcc metals." Journal of Nuclear Materials 218, no. 3 (March 1995): 273–88. http://dx.doi.org/10.1016/0022-3115(94)00674-1.

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25

Montaño-Zuñiga, Ixchel M., Gabriel Sepulveda-Cervantes, Victor M. Lopez-Hirata, Diego I. Rivas-Lopez, and Jorge L. Gonzalez-Velazquez. "Numerical simulation of recrystallization in BCC metals." Computational Materials Science 49, no. 3 (September 2010): 512–17. http://dx.doi.org/10.1016/j.commatsci.2010.05.042.

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26

Schober, H. R., W. Petry, and J. Trampenau. "Migration enthalpies in FCC and BCC metals." Journal of Physics: Condensed Matter 4, no. 47 (November 23, 1992): 9321–38. http://dx.doi.org/10.1088/0953-8984/4/47/013.

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27

Petry, W., A. Heiming, J. Trampenau, M. Alba, C. Herzig, H. R. Schober, and G. Vogl. "Phonon dispersion of the bcc phase of group-IV metals. I. bcc titanium." Physical Review B 43, no. 13 (May 1, 1991): 10933–47. http://dx.doi.org/10.1103/physrevb.43.10933.

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28

Trampenau, J., A. Heiming, W. Petry, M. Alba, C. Herzig, W. Miekeley, and H. R. Schober. "Phonon dispersion of the bcc phase of group-IV metals. III. bcc hafnium." Physical Review B 43, no. 13 (May 1, 1991): 10963–69. http://dx.doi.org/10.1103/physrevb.43.10963.

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29

Filippov, E. S. "Model of Melting and Heat Transfer in Metals." Applied Physics Research 9, no. 2 (February 16, 2017): 1. http://dx.doi.org/10.5539/apr.v9n2p1.

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Volumetric relationships under the thermal expansion of metals are analyzed. It is shown that the metals with the bcc structure possess a two-step structural change at the melting point: first, the transformation of the bcc structure to a fcc one takes place and then, liquid phase clusters with K = 12 are formed. The hexagonally packed (6 + 6) layered Cd and Zn change their structure from K=6 to K = 8 before melting. For the polymorphic transformations fcc (hcp) -- bcc, the value of thermal expansion was sufficient to change K = 12 for K = 8 long before the melting point. It is assumed that at high temperatures, thermal energy transfer is associated with the exchange fluctuations: higher electron density +K lambda and low electron density –K lambda over the coordinate of interatomic distances, wher lambda = h/mc and K is the number of nearest neighbors.
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30

Landa, Alexander, and Per Söderlind. "Alloying-Driven Phase Stability in Group-VB Transition Metals under Compression." Solid State Phenomena 258 (December 2016): 125–30. http://dx.doi.org/10.4028/www.scientific.net/ssp.258.125.

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The change in phase stability of Group-VB transition metals (V, Nb, and Ta) due to pressure and alloying is explored by means of first-principles electronic-structure calculations. It is shown that under compression stabilization or destabilization of the ground-state body-centered cubic (bcc) phase of the metal is mainly dictated by the band-structure energy. In the case of alloying the change in phase stability is defined by the interplay between the band-structure and Madelung energies. We show that band-structure effects determine phase stability when a particular Group-VB metal is alloyed with its nearest neighbors within the same d-transition series: the neighbor with less and more d electrons destabilize and stabilize the bcc phase, respectively. When V is alloyed with neighbors of a higher (4d- or 5d-) transition series, both electrostatic Madelung and band-structure energies stabilize the bcc phase. Utilizing the self-consistent ab initio lattice dynamics approach, we show that pressure-induced mechanical instability of bcc V, which results in formation of a rhombohedral (rh) phase at around 60-70 GPa at room temperatures, will prevail significant heating and compression. Furthermore, alloying with Cr decreases the temperature at which stabilization of the bcc phase occurs at elevated pressure.
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31

HUSSEIN, ABDULLAH M., and S. M. MUJIBUR RAHMAN. "PHASE STABILITY OF BCC TRANSITION METALS: ROLE OF d-ELECTRONS." International Journal of Modern Physics B 14, no. 06 (March 10, 2000): 635–42. http://dx.doi.org/10.1142/s0217979200000571.

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The role of d-electrons in the structural phase stability of bcc transition metals viz. V, Fe, Cr and Mn are investigated. The underlying theory expresses the relevant structural part of the free energy in terms of the repulsion of the d-electron muffin-tin orbitals assigned to atomic sites and the attractive contribution arising from the band broadening effects of the d-bands in the total energy. The magnetic contribution arising from the population of magnetic moments in the systems is also included in the theory. The d-electronic contribution to entropy is written in terms of the density-of-electronic states at the respective Fermi level. The phase stability of the bcc transition metals is explained in terms of the population of atoms on the local and extended sites. It is observed that the d-electron energetics can precisely and correctly predict the crystal structure of the bcc transition metals.
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32

Guellil, A. M., and J. B. Adams. "The application of the analytic embedded atom method to bcc metals and alloys." Journal of Materials Research 7, no. 3 (March 1992): 639–52. http://dx.doi.org/10.1557/jmr.1992.0639.

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Johnson and Oh have recently developed Embedded Atom Method potentials for bcc metals (Na, Li, K, V, Nb, Ta, Mo, W, Fe). The predictive power of these potentials was first tested by calculating vacancy formation and migration energies. Due to the results of these calculations, some of the functions were slightly modified to improve their fit to vacancy properties. The modified potentials were then used to calculate phonon dispersion curves, surface relaxations, surface energies, and thermal expansion. In addition, Johnson's alloy model, which works well for fcc metals, was applied to the bcc metals to predict dilute heats of solution.
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33

Tang, Ying, and Lijun Zhang. "Effect of Thermal Vacancy on Thermodynamic Behaviors in BCC W Close to Melting Point: A Thermodynamic Study." Materials 11, no. 9 (September 7, 2018): 1648. http://dx.doi.org/10.3390/ma11091648.

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As temperature increases, the thermal vacancy concentration in pure metals dramatically increases and causes some strongly non-linear thermodynamic behaviors in pure metals when close to their melting points. In this paper, we chose body-centered cubic (bcc) W as the target and presented a thermodynamic model to account for its Gibbs energy of pure bcc W from 0 K to melting point by including the contribution of thermal vacancy. A new formula for interaction part was proposed for describing the quadratic temperature behavior of vacancy formation energy. Based on the experimental/first-principles computed thermodynamic properties, all the parameters in the Gibbs energy function were assessed by following the proposed two-step optimization strategy. The thermodynamic behaviors, i.e., the strong nonlinear increase for temperature dependence of heat capacities at high temperatures and a nonlinear Arrhenius plot of vacancy concentration, in bcc W can be well reproduced by the obtained Gibbs energy. The successful description of thermal vacancy on such strongly non-linear thermodynamic behaviors in bcc W indicates that the presently proposed thermodynamic model and optimization strategy should be universal ones and are applicable to all other metals.
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34

Hung, Vu Van, K. Masuda-Jindo, and Nguyen Thi Hoa. "Study of ideal strengths of metals and alloys by statistical moment method: Temperature dependence." Journal of Materials Research 22, no. 8 (August 2007): 2230–40. http://dx.doi.org/10.1557/jmr.2007.0278.

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The ideal strengths of metals and alloys at finite temperatures have been studied using the statistical moment method. The tensile and shear strengths of the body-centered cubic (bcc) transition metals like Mo and W (refractory metals), and ordered FeAl (B2) and Fe3Al (DO3) alloys are calculated as a function of the temperature. The orthogonal tight-binding method is used for bcc transition elements, while the universal binding-energy relation (UBER)-type of pairwise potentials, derived from ab initio density-functional theory, is used for the FeAl and Fe3Al alloys. We discuss the temperature dependence of the tensile and shear strengths of the metals and alloys in conjunction with those of the second-order elastic constants.
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35

Knorr, P., and Christian Herzig. "On the Activation Volume of Self-Diffusion in bcc Metals: Experiments in bcc TI." Defect and Diffusion Forum 143-147 (January 1997): 131–36. http://dx.doi.org/10.4028/www.scientific.net/ddf.143-147.131.

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36

Zakharova, Maria I., and Vladimir P. Tarasikov. "The effects of neutron irradiation on the physicomechanical properties of refractory metals." Nuclear Energy and Technology 6, no. 2 (June 25, 2020): 117–23. http://dx.doi.org/10.3897/nucet.6.55230.

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Studying the interaction of radiation defects with defects in the crystal lattice in the initial state makes it possible to distinguish the contribution of each type of defect to changes in the physicomechanical properties of materials exposed to irradiation. When comparing the changes in the properties of the metals with the body-centered cubic (BCC) lattice (Mo, W, V, Nb) and hexagonal close-packed (HCP) lattice (Re), we see common features and differences in their behavior under irradiation: − both HCP and BCC crystals show an orientation dependence of their properties; at the same time, the metals with the BCC lattice are characterized by an increase in the size of the sample in all crystallographic directions, whereas, for the HCP crystals, the sample is narrowed along the <0001> direction, perpendicular to the plane with the closest packing of atoms, and expanded along other directions; − for the BCC samples, the elastic moduli decrease; for the HCP samples, the shear modulus increases significantly as a result of irradiation; − electrical resistance for the metals of Group 6 (Mo, W) and rhenium as a result of irradiation increases; for the metals of Group 5 (V, Nb), it decreases: this decrease in electrical resistance is associated with the release of interstitial impurity atoms to radiation defects; − for the BCC crystals, relaxation processes occur both in the unirradiated and irradiated samples, whereas, in the HCP crystals, only irradiation and post-irradiation annealing cause the temperature dependence of internal friction (TDIF) and the appearance of a relaxation maximum due to a change in the point symmetry of the defect; and − during isochronous annealings up to 0.7×Тm, behavior features associated with the crystal lattice structure are retained.
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37

Chen, Yinan, and Bo Li. "Double-phase refractory medium entropy alloy NbMoTi via selective laser melting (SLM) additive manufacturing." Journal of Physics: Conference Series 2419, no. 1 (January 1, 2023): 012074. http://dx.doi.org/10.1088/1742-6596/2419/1/012074.

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Abstract Elemental metals Nb and Mo are common refractory metals, performing good properties in a high-temperature working environment. While due to their high melting points, they are hard to be manufactured. Besides, elemental metal with a single BCC phase performs onefold properties, which promotes the design of medium/high entropy refractory alloys. This paper focuses on the formability analysis of refractory metals Mo, Nb and mixed MoNbTi powder printed by SLM. It successfully demonstrated for the first time that laser metal deposition can be used to produce MoNbTi high-entropy alloy from a blend of elemental powders by in-situ alloying with the assistance of the Flow 3D app. The densities of elemental Nb, Mo and MoNbTi manufactured by the corresponding optimized printed parameters were 99.41%, 99. 13% and 97.38%, respectively. As-built MoNbTi high-entropy alloy contained FCC+BCC double phase. The FCC phase is diffusively precipitated in the BCC phase, and the boundary is moist.
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38

Luo, Y. K., and R. S. Qin. "Description of Surface Energy Anisotropy for BCC Metals." Advanced Materials Research 922 (May 2014): 446–51. http://dx.doi.org/10.4028/www.scientific.net/amr.922.446.

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Surface energy anisotropy (SEA) has long been a hot topic in interface science as it has an important role in the interface/surface behaviours for crystalline phases. Most studies aim to determine the numerical values of the anisotropic surface energy in some particular orientations, but few investigate the whole orientation-dependent trend, or the morphology of the polar plot. The present work propose descriptions for SEA of both body centred cubic (BCC) and face centred cubic (FCC) metals by considering the interactions between an atom and its 1st, 2nd and 3rd nearest neighbouring (NN) atoms. The expression makes use of only three coefficients K1, K2 and K3 which are correspondent to the contribution of 1st, 2nd and 3rd NN interactions respectively. This allows estimation of surface energy for all crystallographic orientations if the values for (111), (100) and (110) orientations are provided. Matching of our model with modified analytical embedded-atom method (MAEAM) results demonstrates less than 0.5% average relative error. We also construct the polar plots of BCC metals based on our model and compare them with some other models.
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39

Lagerlöf, K. P. D. "A Model Describing Deformation Twinning in BCC Metals." Solid State Phenomena 35-36 (September 1993): 601–6. http://dx.doi.org/10.4028/www.scientific.net/ssp.35-36.601.

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40

Neumann, Gerhard, and C. Tuijn. "Impurity Diffusion: Impurity Diffusion in Refractory BCC Metals." Solid State Phenomena 88 (November 2002): 156–66. http://dx.doi.org/10.4028/www.scientific.net/ssp.88.156.

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41

Kashlev, Yu A. "Theory of Incoherent Hydrogen Diffusion in bcc Metals." Defect and Diffusion Forum 66-69 (January 1991): 301–6. http://dx.doi.org/10.4028/www.scientific.net/ddf.66-69.301.

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42

Schultz, H. "Stage II-Recovery Reactions in BCC Transition Metals." Materials Science Forum 15-18 (January 1987): 727–32. http://dx.doi.org/10.4028/www.scientific.net/msf.15-18.727.

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43

Danilov, S. V., and P. L. Reznik. "Hot-Rolled Texture of FCC and BCC Metals." Solid State Phenomena 284 (October 2018): 605–9. http://dx.doi.org/10.4028/www.scientific.net/ssp.284.605.

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Orientation microscopy, based on electron backscattered diffraction (EBSD) has been used to study the regularities of formation of the crystallographic texture in materials with BCC and FCC lattices in the hot rolling process throughout the whole thickness of the strips. It has been established that the texture of the central layers of all samples consisted of the discrete sets of stable orientations corresponding to the cold rolling texture. In the surface layers of the samples Fe-3%Si and Al, the texture consisted of sets of discrete orientations corresponding to the shear structure. In the samples of Mo and austenitic steel, the set of discrete orientations of the surface layers matched the texture of the central layers. The difference in textures of the central and surface layers was the result of a certain stress state. The amount of friction has notably influenced the texture of the surface layer. In "hard" materials (Mo, γ-Fe), the friction was minimal, i.e. the difference in stress states of the surface and central layers was insignificant.
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44

Scheiber, Daniel, Reinhard Pippan, Peter Puschnig, and Lorenz Romaner. "Ab initiocalculations of grain boundaries in bcc metals." Modelling and Simulation in Materials Science and Engineering 24, no. 3 (March 1, 2016): 035013. http://dx.doi.org/10.1088/0965-0393/24/3/035013.

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45

Moriarty, John A., Wei Xu, Per So¨derlind, James Belak, Lin H. Yang, and Jing Zhu. "Atomistic Simulations for Multiscale Modeling in bcc Metals." Journal of Engineering Materials and Technology 121, no. 2 (April 1, 1999): 120–25. http://dx.doi.org/10.1115/1.2812355.

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Quantum-based atomistic simulations are being used to study fundamental deformation and defect properties relevant to the multiscale modeling of plasticity in bcc metals at both ambient and extreme conditions. Ab initio electronic-structure calculations on the elastic and ideal-strength properties of Ta and Mo help constrain and validate many-body interatomic potentials used to study grain boundaries and dislocations. The predicted Σ5 (310) [100] grain boundary structure for Mo has recently been confirmed in HREM measurements. The core structure, γ surfaces, Peierls stress, and kink-pair formation energies associated with the motion of a/2〈111〉 screw dislocations in Ta and Mo have also been calculated. Dislocation mobility and dislocation junction formation and breaking are currently under investigation.
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46

Demangeat, C. "The Metal-Hydrogen Bond in bcc Transition Metals*." Zeitschrift für Physikalische Chemie 145, no. 1_2 (January 1985): 79–84. http://dx.doi.org/10.1524/zpch.1985.145.1_2.079.

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47

Abramovici, G., M. C. Desjonquères, and D. Spanjaard. "Surface Auger energy shifts in BCC transition metals." Solid State Communications 103, no. 5 (August 1997): 309–12. http://dx.doi.org/10.1016/s0038-1098(97)00074-4.

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48

Rosenfeld, A. M., and M. J. Stott. "Some phonon effects inS(q) for bcc metals." Physical Review B 42, no. 11 (October 15, 1990): 6963–72. http://dx.doi.org/10.1103/physrevb.42.6963.

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49

Ram, P. N. "Dynamics of self-interstitial atoms in bcc metals." Physical Review B 43, no. 9 (March 15, 1991): 6977–85. http://dx.doi.org/10.1103/physrevb.43.6977.

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50

Haneczok, Grzegorz. "Interaction of interstitial solute atoms in bcc metals." Philosophical Magazine A 78, no. 4 (October 1998): 845–55. http://dx.doi.org/10.1080/01418619808239960.

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