DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: From Quasicrystals to Crystals with Interpenetrating Icosahedra in Ca–Au–Al: In Situ Variable-Temperature Transformation

Abstract

The irreversible transformation from an icosahedral quasicrystal (i-QC) CaAu4.39Al1.61 to its cubic 2/1 crystalline approximant (CA) Ca13Au56.31(3)Al21.69 (CaAu4.33(1)Al1.67, Pa$$\bar{3}$$ (No. 205); Pearson symbol: cP728; a = 23.8934(4)), starting at ~570 °C and complete by ~650 °C, is discovered from in situ, high-energy, variable-temperature powder X-ray diffraction (PXRD), thereby providing direct experimental evidence for the relationship between QCs and their associated CAs. The new cubic phase crystallizes in a Tsai-type approximant structure under the broader classification of polar intermetallic compounds, in which atoms of different electronegativities, viz., electronegative Au + Al vs electropositive Ca, are arranged in concentric shells. From a structural chemical perspective, the outermost shell of this cubic approximant may be described as interpenetrating and edge-sharing icosahedra, a perspective that is obtained by splitting the traditional structural description of this shell as a 92-atom rhombic triacontahedron into an 80-vertex cage of primarily Au [Au59.86(2)Al17.143.00] and an icosahedral shell of only Al [Al10.51.5]. Following the proposal that the cubic 2/1 CA approximates the structure of the i-QC and on the basis of the observed transformation, an atomic site analysis of the 2/1 CA, which shows a preference to maximize the number of heteroatomic Au–Al nearest neighbor contacts over homoatomic Al–Al contacts, implies a similar outcome for the i-QC structure. Analysis of the most intense reflections in the diffraction pattern of the cubic 2/1 CA that changed during the phase transformation shows correlations with icosahedral symmetry, and the stability of this cubic phase is assessed using valence electron counts. Finally, according to electronic structure calculations, a cubic 1/1 CA, “Ca24Au88Al64” (CaAu3.67Al2.67) is proposed.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2];  [2];  [3];  [2];  [3]; ORCiD logo [4]
  1. Iowa State Univ., Ames, IA (United States). Dept. of Chemistry
  2. Ames Lab., Ames, IA (United States)
  3. Iowa State Univ., Ames, IA (United States). Dept. of Physics and Astronomy; Ames Lab., Ames, IA (United States)
  4. Iowa State Univ., Ames, IA (United States). Dept. of Chemistry; Ames Lab., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1425483
Report Number(s):
IS-J-9592
Journal ID: ISSN 0002-7863; TRN: US1802115
Grant/Contract Number:  
AC02-07CH11358; AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the American Chemical Society
Additional Journal Information:
Journal Volume: 140; Journal Issue: 4; Journal ID: ISSN 0002-7863
Publisher:
American Chemical Society (ACS)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Pham, Joyce, Meng, Fanqiang, Lynn, Matthew J., Ma, Tao, Kreyssig, Andreas, Kramer, Matthew J., Goldman, Alan I., and Miller, Gordon J. From Quasicrystals to Crystals with Interpenetrating Icosahedra in Ca–Au–Al: In Situ Variable-Temperature Transformation. United States: N. p., 2017. Web. doi:10.1021/jacs.7b10358.
Pham, Joyce, Meng, Fanqiang, Lynn, Matthew J., Ma, Tao, Kreyssig, Andreas, Kramer, Matthew J., Goldman, Alan I., & Miller, Gordon J. From Quasicrystals to Crystals with Interpenetrating Icosahedra in Ca–Au–Al: In Situ Variable-Temperature Transformation. United States. https://doi.org/10.1021/jacs.7b10358
Pham, Joyce, Meng, Fanqiang, Lynn, Matthew J., Ma, Tao, Kreyssig, Andreas, Kramer, Matthew J., Goldman, Alan I., and Miller, Gordon J. Fri . "From Quasicrystals to Crystals with Interpenetrating Icosahedra in Ca–Au–Al: In Situ Variable-Temperature Transformation". United States. https://doi.org/10.1021/jacs.7b10358. https://www.osti.gov/servlets/purl/1425483.
@article{osti_1425483,
title = {From Quasicrystals to Crystals with Interpenetrating Icosahedra in Ca–Au–Al: In Situ Variable-Temperature Transformation},
author = {Pham, Joyce and Meng, Fanqiang and Lynn, Matthew J. and Ma, Tao and Kreyssig, Andreas and Kramer, Matthew J. and Goldman, Alan I. and Miller, Gordon J.},
abstractNote = {The irreversible transformation from an icosahedral quasicrystal (i-QC) CaAu4.39Al1.61 to its cubic 2/1 crystalline approximant (CA) Ca13Au56.31(3)Al21.69 (CaAu4.33(1)Al1.67, Pa$\bar{3}$ (No. 205); Pearson symbol: cP728; a = 23.8934(4)), starting at ~570 °C and complete by ~650 °C, is discovered from in situ, high-energy, variable-temperature powder X-ray diffraction (PXRD), thereby providing direct experimental evidence for the relationship between QCs and their associated CAs. The new cubic phase crystallizes in a Tsai-type approximant structure under the broader classification of polar intermetallic compounds, in which atoms of different electronegativities, viz., electronegative Au + Al vs electropositive Ca, are arranged in concentric shells. From a structural chemical perspective, the outermost shell of this cubic approximant may be described as interpenetrating and edge-sharing icosahedra, a perspective that is obtained by splitting the traditional structural description of this shell as a 92-atom rhombic triacontahedron into an 80-vertex cage of primarily Au [Au59.86(2)Al17.14⟂3.00] and an icosahedral shell of only Al [Al10.5⟂1.5]. Following the proposal that the cubic 2/1 CA approximates the structure of the i-QC and on the basis of the observed transformation, an atomic site analysis of the 2/1 CA, which shows a preference to maximize the number of heteroatomic Au–Al nearest neighbor contacts over homoatomic Al–Al contacts, implies a similar outcome for the i-QC structure. Analysis of the most intense reflections in the diffraction pattern of the cubic 2/1 CA that changed during the phase transformation shows correlations with icosahedral symmetry, and the stability of this cubic phase is assessed using valence electron counts. Finally, according to electronic structure calculations, a cubic 1/1 CA, “Ca24Au88Al64” (CaAu3.67Al2.67) is proposed.},
doi = {10.1021/jacs.7b10358},
journal = {Journal of the American Chemical Society},
number = 4,
volume = 140,
place = {United States},
year = {Fri Dec 29 00:00:00 EST 2017},
month = {Fri Dec 29 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1. Figure 1.: PXRD patterns at ~25 °C from loadings of CaAu4.50–xAl1.50+x i-QC (targeted e/a = 1.60–1.75; top), and cubic 2/1 CA (targeted e/a = 1.55–1.75; bottom), with theoretical pattern from single-crystal XRD refinement, Ca13Au56.79(6)Al21.20 (CaAu4.37(1)Al1.63).

Save / Share:

Works referenced in this record:

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

Pyramidalization of Gd3N inside a C80 cage. The synthesis and structure of Gd3N@C80
journal, January 2004

  • Stevenson, Steven; Phillips, J. Paige; Reid, Jon E.
  • Chemical Communications, Issue 24
  • DOI: 10.1039/b412338g

Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
journal, November 1984


Atomic structure of the binary icosahedral Yb–Cd quasicrystal
journal, December 2006

  • Takakura, Hiroyuki; Gómez, Cesar Pay; Yamamoto, Akiji
  • Nature Materials, Vol. 6, Issue 1
  • DOI: 10.1038/nmat1799

The 1/1 and 2/1 Approximants in the Sc−Mg−Zn Quasicrystal System:  Triacontahedral Clusters as Fundamental Building Blocks
journal, October 2006

  • Lin, Qisheng; Corbett, John D.
  • Journal of the American Chemical Society, Vol. 128, Issue 40
  • DOI: 10.1021/ja063897u

New icosahedral quasicrystals formed in Cu-based ternary alloys
journal, June 2007


Connecting the Chemical and Physical Viewpoints of What Determines Structure: From 1-D Chains to γ-Brasses
journal, August 2011

  • Berger, Robert F.; Walters, Peter L.; Lee, Stephen
  • Chemical Reviews, Vol. 111, Issue 8
  • DOI: 10.1021/cr1001222

Projector augmented-wave method
journal, December 1994


Icosahedral AlCuFe quasicrystal at high pressure and temperature and its implications for the stability of icosahedrite
journal, July 2014

  • Stagno, Vincenzo; Bindi, Luca; Shibazaki, Yuki
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep05869

Ab-initio tiling and atomic structure for decagonal ZnMgY quasicrystal
journal, April 2014


Formation of quasicrystals and approximant crystals by mechanical alloying in MgAlZn alloy system
journal, May 1993


Quasicrystals and crystalline approximants
journal, January 1993


Decagonal quasicrystals – What has been achieved?
journal, January 2014


New building blocks in the 2/1 crystalline approximant of a Bergman-type icosahedral quasicrystal
journal, September 2006

  • Lin, Q.; Corbett, J. D.
  • Proceedings of the National Academy of Sciences, Vol. 103, Issue 37
  • DOI: 10.1073/pnas.0605954103

Electronic structure in the Al-Mn alloy crystalline analog of quasicrystals
journal, July 1989


Quasicrystals. I. Definition and structure
journal, July 1986


A dense non-crystallographic packing of equal spheres
journal, September 1962


Studies on icosahedral Ag–In–Yb: a prototype for Tsai-type quasicrystals
journal, January 2014

  • Cui, Can; Shimoda, Masahiko; Tsai, An Pang
  • RSC Adv., Vol. 4, Issue 87
  • DOI: 10.1039/C4RA07980A

Quasicrystals: A New Class of Ordered Structures
journal, December 1984


Approximant Phases and an Icosahedral Quasicrystal in the Ca−Au−Ga System: The Influence of Size of Gallium versus Indium
journal, September 2008

  • Lin, Qisheng; Corbett, John D.
  • Inorganic Chemistry, Vol. 47, Issue 17
  • DOI: 10.1021/ic800694j

The Physics of the Hume-Rothery Electron Concentration Rule
journal, January 2017


Method for Cross-sectional Transmission Electron Microscopy Specimen Preparation of Composite Materials Using a Dedicated Focused Ion Beam System
journal, September 1999

  • Yaguchi, Toshie; Kamino, Takeo; Ishitani, Tohru
  • Microscopy and Microanalysis, Vol. 5, Issue 5
  • DOI: 10.1017/S1431927699000203

Ab initiomolecular dynamics for liquid metals
journal, January 1993


Quasicrystal and approximant structures in the Al - Cu - Fe system
journal, April 1996


High-energy X-ray diffraction studies of i-Sc 12 Zn 88
journal, September 2010


Stable clusters in quasicrystals: fact or fiction?
journal, February 2006


Structural study of approximant phases of Al-Cu-Fe quasicrystals under high pressure
journal, February 1999


Bulk electronic structure of Zn-Mg-Y and Zn-Mg-Dy icosahedral quasicrystals
journal, June 2015


Indexing of icosahedral quasiperiodic crystals
journal, February 1986

  • Cahn, John W.; Shechtman, Dan; Gratias, Denis
  • Journal of Materials Research, Vol. 1, Issue 1
  • DOI: 10.1557/JMR.1986.0013

An approach to the structure of quasicrystals: A single crystal X-ray and neutron diffraction study of the R-Al5CuLi3 phase
journal, October 1988


Why are quasicrystals quasiperiodic?
journal, January 2012


A short history of SHELX
journal, December 2007

  • Sheldrick, George M.
  • Acta Crystallographica Section A Foundations of Crystallography, Vol. 64, Issue 1, p. 112-122
  • DOI: 10.1107/S0108767307043930

Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
journal, July 1996


Crystal chemistry and chemical order in ternary quasicrystals and approximants
journal, January 2014


Stable icosahedral quasicrystals in binary Cd-Ca and Cd-Yb systems
journal, December 2000


A Sodium-Containing Quasicrystal: Using Gold To Enhance Sodium’s Covalency in Intermetallic Compounds
journal, November 2012

  • Smetana, Volodymyr; Lin, Qisheng; Pratt, Daniel K.
  • Angewandte Chemie International Edition, Vol. 51, Issue 51
  • DOI: 10.1002/anie.201207076

Quasicrystals and atomic clusters
journal, January 2014


Structural phase transformations in quasicrystal-forming Al-Cu-Fe alloys and defects of the icosahedral phase
journal, April 2010


An Icosahedral Quasicrystal and Its 1/0 Crystalline Approximant in the Ca–Au–Al System
journal, September 2016


Syntheses optimization, structural and thermoelectric properties of 1/1 Tsai-type quasicrystal approximants in RE–Au–SM systems (RE=Yb, Gd and SM=Si, Ge)
journal, March 2013


Icosahedral quasicrystal and 1/1 cubic approximant in Au–Al–Yb alloys
journal, September 2011


Stability of icosahedral Al-Cu-Fe and two approximant phases under high pressure up to 35 GPa
journal, July 1995


A test of Hume-Rothery rules for stable quasicrystals
journal, March 2004


Direct observation of solid-state reversed transformation from crystals to quasicrystals in a Mg alloy
journal, June 2015

  • Liu, Jian-Fang; Yang, Zhi-Qing; Ye, Heng-Qiang
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep09816

A profile refinement method for nuclear and magnetic structures
journal, June 1969


Where Are the Elements in Complex Aluminides? An Experimental and Theoretical Investigation of the Quasicrystalline Approximants, Mg 2 - y (Zn x Al 1 - x ) 3+ y
journal, May 2000

  • Lee, Chi-Shen; Miller, Gordon J.
  • Journal of the American Chemical Society, Vol. 122, Issue 20
  • DOI: 10.1021/ja993781g

The formation of quasicrystal phase in Al-Cu-Fe system by mechanical alloying
journal, May 2012


Electronic Structure of Rational Approximants to Icosahedral Quasi-Crystals
journal, January 1992


The Hume-Rothery rules for structurally complex alloy phases
book, January 2010


FIB Lift-Out Specimen Preparation Techniques
book, January 2005


Works referencing / citing this record:

Looking for alternatives to the superspace description of icosahedral quasicrystals
journal, January 2019

  • Madison, A. E.; Madison, P. A.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2221
  • DOI: 10.1098/rspa.2018.0667