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Title: Understanding the mechanism of hardness enhancement in tantalum-substituted tungsten monoboride solid solutions

Abstract

The differential strain behavior of TaxW1-xB solid solutions has been studied as a function of composition using high-pressure radial X-ray diffraction in a diamond-anvil cell under non-hydrostatic pressure (up to ~65 GPa) to understand the hardening mechanisms in this family of materials. The hardness of tungsten monoboride (WB) can be increased by adding tantalum and reaches a maximum at a doping level of 50 at. % with a value of 42.8 ± 2.6 GPa under an applied load of 0.49 N. Plateaus were observed in the differential strain data for both the (020) and (002) directions, suggesting that this is the primary slip system in this material. These plateaus were modified by the addition of Ta, indicating that strengthening of the (002) and (020) planes by solid solution hardening was primarily responsible for the hardness enhancements in TaxW1-xB solid solutions. In contrast, the differential strain supported by the (200) plane linearly increases with pressure up to the highest pressures reached in this work (>60 GPa) and shows almost no change with metal composition. Because of the very different compression behavior in the (200) and (020) planes, change in the b/a ratio with pressure provides a unique way to visualize themore » onset of plastic behavior. This onset varies from ~15 GPa for samples with 5% Ta to more than 30 GPa for the sample with 50% Ta. Finally, the ambient bulk modulus of each solid-solution sample was determined using the second-order Birch-Murnaghan equation-of-state and found to be ~340 GPa for all phases.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1];  [3]; ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of California, Los Angeles, CA (United States)
  2. Univ. of California, Los Angeles, CA (United States); Virginia Commonwealth Univ., Richmond, VA (United States)
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1581332
Grant/Contract Number:  
AC02-05CH11231; DMR-1506860; EAR 1606856
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 125; Journal Issue: 8; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Lei, Jialin, Yeung, Michael T., Mohammadi, Reza, Turner, Christopher L., Yan, Jinyuan, Kaner, Richard B., and Tolbert, Sarah H. Understanding the mechanism of hardness enhancement in tantalum-substituted tungsten monoboride solid solutions. United States: N. p., 2019. Web. doi:10.1063/1.5054616.
Lei, Jialin, Yeung, Michael T., Mohammadi, Reza, Turner, Christopher L., Yan, Jinyuan, Kaner, Richard B., & Tolbert, Sarah H. Understanding the mechanism of hardness enhancement in tantalum-substituted tungsten monoboride solid solutions. United States. https://doi.org/10.1063/1.5054616
Lei, Jialin, Yeung, Michael T., Mohammadi, Reza, Turner, Christopher L., Yan, Jinyuan, Kaner, Richard B., and Tolbert, Sarah H. Fri . "Understanding the mechanism of hardness enhancement in tantalum-substituted tungsten monoboride solid solutions". United States. https://doi.org/10.1063/1.5054616. https://www.osti.gov/servlets/purl/1581332.
@article{osti_1581332,
title = {Understanding the mechanism of hardness enhancement in tantalum-substituted tungsten monoboride solid solutions},
author = {Lei, Jialin and Yeung, Michael T. and Mohammadi, Reza and Turner, Christopher L. and Yan, Jinyuan and Kaner, Richard B. and Tolbert, Sarah H.},
abstractNote = {The differential strain behavior of TaxW1-xB solid solutions has been studied as a function of composition using high-pressure radial X-ray diffraction in a diamond-anvil cell under non-hydrostatic pressure (up to ~65 GPa) to understand the hardening mechanisms in this family of materials. The hardness of tungsten monoboride (WB) can be increased by adding tantalum and reaches a maximum at a doping level of 50 at. % with a value of 42.8 ± 2.6 GPa under an applied load of 0.49 N. Plateaus were observed in the differential strain data for both the (020) and (002) directions, suggesting that this is the primary slip system in this material. These plateaus were modified by the addition of Ta, indicating that strengthening of the (002) and (020) planes by solid solution hardening was primarily responsible for the hardness enhancements in TaxW1-xB solid solutions. In contrast, the differential strain supported by the (200) plane linearly increases with pressure up to the highest pressures reached in this work (>60 GPa) and shows almost no change with metal composition. Because of the very different compression behavior in the (200) and (020) planes, change in the b/a ratio with pressure provides a unique way to visualize the onset of plastic behavior. This onset varies from ~15 GPa for samples with 5% Ta to more than 30 GPa for the sample with 50% Ta. Finally, the ambient bulk modulus of each solid-solution sample was determined using the second-order Birch-Murnaghan equation-of-state and found to be ~340 GPa for all phases.},
doi = {10.1063/1.5054616},
journal = {Journal of Applied Physics},
number = 8,
volume = 125,
place = {United States},
year = {Fri Jan 04 00:00:00 EST 2019},
month = {Fri Jan 04 00:00:00 EST 2019}
}

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Works referenced in this record:

Hardness, elastic, and electronic properties of chromium monoboride
journal, June 2015

  • Han, Lei; Wang, Shanmin; Zhu, Jinlong
  • Applied Physics Letters, Vol. 106, Issue 22
  • DOI: 10.1063/1.4922147

Elastic stability and electronic structure of tantalum boride investigated via first-principles density functional calculations
journal, October 2012

  • Chen, Hai-Hua; Bi, Yan; Cheng, Yan
  • Journal of Physics and Chemistry of Solids, Vol. 73, Issue 10
  • DOI: 10.1016/j.jpcs.2012.05.007

Computational materials discovery: the case of the W–B system
journal, January 2014

  • Cheng, Xi-Yue; Chen, Xing-Qiu; Li, Dian-Zhong
  • Acta Crystallographica Section C Structural Chemistry, Vol. 70, Issue 2
  • DOI: 10.1107/S2053229613027551

A new technique for angle-dispersive powder diffraction using an energy-dispersive setup and synchrotron radiation
journal, November 2004

  • Wang, Yanbin; Uchida, Takeyuki; Von Dreele, Robert
  • Journal of Applied Crystallography, Vol. 37, Issue 6
  • DOI: 10.1107/S0021889804022502

Synthesis of Ultra-Incompressible Superhard Rhenium Diboride at Ambient Pressure
journal, April 2007


Tungsten tetraboride, an inexpensive superhard material
journal, June 2011

  • Mohammadi, R.; Lech, A. T.; Xie, M.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 27
  • DOI: 10.1073/pnas.1102636108

Critical assessment and thermodynamic calculation of the binary system boron-tungsten (B-W)
journal, April 1995

  • Duschanek, H.; Rogl, P.
  • Journal of Phase Equilibria, Vol. 16, Issue 2
  • DOI: 10.1007/BF02664852

Mechanical Properties of Polycrystalline Translucent Cubic Boron Nitride as Characterized by the Vickers Indentation Method
journal, February 1996


Superhard Monoborides: Hardness Enhancement through Alloying in W 1− x Ta x B
journal, May 2016

  • Yeung, Michael T.; Lei, Jialin; Mohammadi, Reza
  • Advanced Materials, Vol. 28, Issue 32
  • DOI: 10.1002/adma.201601187

Detecting grain rotation at the nanoscale
journal, February 2014

  • Chen, Bin; Lutker, Katie; Lei, Jialin
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 9
  • DOI: 10.1073/pnas.1324184111

Atomic size effect on the formability of metallic glasses
journal, April 1984


Reversal in the Size Dependence of Grain Rotation
journal, March 2017


Ultraincompressible, Superhard Materials
journal, July 2016


Elasticity and rheology of iron above 220 GPa and the nature of the Earth's inner core
journal, December 1998

  • Mao, Ho-kwang; Shu, Jinfu; Shen, Guoyin
  • Nature, Vol. 396, Issue 6713
  • DOI: 10.1038/25506

Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle .
journal, January 1929


Lattice stress states of superhard tungsten tetraboride from radial x-ray diffraction under nonhydrostatic compression
journal, September 2014


Structure, Elastic Stiffness, and Hardness of Os 1– x Ru x B 2 Solid Solution Transition-Metal Diborides
journal, May 2012

  • Kanoun, Mohammed Benali; Hermet, Patrick; Goumri-Said, Souraya
  • The Journal of Physical Chemistry C, Vol. 116, Issue 21
  • DOI: 10.1021/jp3015657

The search for novel, superhard materials
journal, September 1999

  • Vepřek, Stan
  • Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 17, Issue 5
  • DOI: 10.1116/1.581977

Strength of Materials Under Static Loading in the Diamond Anvil cell
conference, January 2008

  • Duffy, T. S.; Elert, Mark; Furnish, Michael D.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2007: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings
  • DOI: 10.1063/1.2833175

Toward an internally consistent pressure scale
journal, May 2007

  • Fei, Y.; Ricolleau, A.; Frank, M.
  • Proceedings of the National Academy of Sciences, Vol. 104, Issue 22
  • DOI: 10.1073/pnas.0609013104

Incompressibility and Hardness of Solid Solution Transition Metal Diborides: Os 1− x Ru x B 2
journal, May 2009

  • Weinberger, Michelle B.; Levine, Jonathan B.; Chung, Hsiu-Ying
  • Chemistry of Materials, Vol. 21, Issue 9
  • DOI: 10.1021/cm900211v

Structure of superhard tungsten tetraboride: A missing link between MB 2 and MB 12 higher borides
journal, March 2015

  • Lech, Andrew T.; Turner, Christopher L.; Mohammadi, Reza
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 11
  • DOI: 10.1073/pnas.1415018112

Superhard Rhenium/Tungsten Diboride Solid Solutions
journal, October 2016

  • Lech, Andrew T.; Turner, Christopher L.; Lei, Jialin
  • Journal of the American Chemical Society, Vol. 138, Issue 43
  • DOI: 10.1021/jacs.6b08616

Strength and equation of state of boron suboxide from radial x-ray diffraction in a diamond cell under nonhydrostatic compression
journal, November 2004


Lattice strain of osmium diboride under high pressure and nonhydrostatic stress
journal, July 2012

  • Kavner, Abby; Weinberger, Michelle B.; Shahar, Anat
  • Journal of Applied Physics, Vol. 112, Issue 1
  • DOI: 10.1063/1.4730780

Stabilization of HfB 12 in Y 1– x Hf x B 12 under Ambient Pressure
journal, April 2016


Exploring the high-pressure behavior of superhard tungsten tetraboride
journal, February 2012


Enhancing the Hardness of Superhard Transition-Metal Borides: Molybdenum-Doped Tungsten Tetraboride
journal, January 2016


X-ray diffraction evaluation of stress in high pressure deformation experiments
journal, June 2006


Understanding How Bonding Controls Strength Anisotropy in Hard Materials by Comparing the High-Pressure Behavior of Orthorhombic and Tetragonal Tungsten Monoboride
journal, February 2018

  • Lei, Jialin; Yeung, Michael T.; Robinson, Paul J.
  • The Journal of Physical Chemistry C, Vol. 122, Issue 10
  • DOI: 10.1021/acs.jpcc.7b11478

Stress anisotropy in opposed anvil high−pressure cells
journal, March 1975

  • Ruoff, Arthur L.
  • Journal of Applied Physics, Vol. 46, Issue 3
  • DOI: 10.1063/1.321737

Application of radial x-ray diffraction to determine the hydrostatic equation of state and strength of TiB2 up to 60GPa
journal, January 2006

  • Amulele, George M.; Manghnani, Murli H.; Somayazulu, Maddury
  • Journal of Applied Physics, Vol. 99, Issue 2
  • DOI: 10.1063/1.2164533

Predicting Useful Materials
journal, July 1993


Finite strain isotherm and velocities for single-crystal and polycrystalline NaCl at high pressures and 300°K
journal, January 1978


Toward Inexpensive Superhard Materials: Tungsten Tetraboride-Based Solid Solutions
journal, December 2012

  • Mohammadi, Reza; Xie, Miao; Lech, Andrew T.
  • Journal of the American Chemical Society, Vol. 134, Issue 51
  • DOI: 10.1021/ja308219r

Exploring hardness enhancement in superhard tungsten tetraboride-based solid solutions using radial X-ray diffraction
journal, July 2015

  • Xie, Miao; Mohammadi, Reza; Turner, Christopher L.
  • Applied Physics Letters, Vol. 107, Issue 4
  • DOI: 10.1063/1.4927596

The lattice strains in a specimen (cubic system) compressed nonhydrostatically in an opposed anvil device
journal, May 1993

  • Singh, Anil K.
  • Journal of Applied Physics, Vol. 73, Issue 9
  • DOI: 10.1063/1.352809

Two-dimensional detector software: From real detector to idealised image or two-theta scan
journal, January 1996

  • Hammersley, A. P.; Svensson, S. O.; Hanfland, M.
  • High Pressure Research, Vol. 14, Issue 4-6, p. 235-248
  • DOI: 10.1080/08957959608201408

Yield strength and strain hardening of MgO up to 8 GPa measured in the deformation-DIA with monochromatic X-ray diffraction
journal, September 2004

  • Uchida, Takeyuki; Wang, Yanbin; Rivers, Mark L.
  • Earth and Planetary Science Letters, Vol. 226, Issue 1-2
  • DOI: 10.1016/j.epsl.2004.07.023

Texture of Nanocrystalline Nickel: Probing the Lower Size Limit of Dislocation Activity
journal, December 2012


Composition and crystallographic data for the highest boride of tungsten
journal, February 1966


Analysis of lattice strains measured under nonhydrostatic pressure
journal, June 1998

  • Singh, Anil K.; Balasingh, C.; Mao, Ho-kwang
  • Journal of Applied Physics, Vol. 83, Issue 12
  • DOI: 10.1063/1.367872

Estimation of Single-Crystal Elastic Moduli from Polycrystalline X-Ray Diffraction at High Pressure: Application to FeO and Iron
journal, March 1998


Interpretation of the Lattice-strains Measured Under Non-hydrostatic Pressure.
journal, January 1998

  • Singh, A. K.; Balasingh, C.; Mao, H-k
  • THE REVIEW OF HIGH PRESSURE SCIENCE AND TECHNOLOGY, Vol. 7
  • DOI: 10.4131/jshpreview.7.205

Works referencing / citing this record:

Radial X‐Ray Diffraction Study of Superhard Early Transition Metal Dodecaborides under High Pressure
journal, April 2019

  • Lei, Jialin; Akopov, Georgiy; Yeung, Michael T.
  • Advanced Functional Materials, Vol. 29, Issue 22
  • DOI: 10.1002/adfm.201900293

Revealing the Unusual Rigid Boron Chain Substructure in Hard and Superconductive Tantalum Monoboride
journal, March 2019

  • Ma, Shuailing; Bao, Kuo; Tao, Qiang
  • Chemistry – A European Journal, Vol. 25, Issue 19
  • DOI: 10.1002/chem.201806043

Lattice strain and texture analysis of superhard Mo 0.9 W 1.1 BC and ReWC 0.8 via diamond anvil cell deformation
journal, January 2019

  • Parry, Marcus; Couper, Samantha; Mansouri Tehrani, Aria
  • Journal of Materials Chemistry A, Vol. 7, Issue 41
  • DOI: 10.1039/c9ta06431a