Control of thermal expansion in a low-density framework modification of silicon
Abstract
The low-density clathrate-II modification of silicon, Si136, contains two distinct cage-like voids large enough to accommodate various types of guest atoms which influence both the host structure and its properties. Although the linear coefficient of thermal expansion of Si136 (293 K < T < 423 K) is only about 20% larger than that of the ground state α-Si (diamond structure), the coefficient of thermal expansion monotonically increases by more than 150% upon filling the framework cages with Na atoms in NaxSi136 (0 < x < 24), ranging from α = 2.6 x 10–6 K–1 (x = 0) to 6.8 × 10–6 K–1 (extrapolated to x = 24) by only varying the Na content, x. Taken together with the available heat capacity and bulk modulus data, the dramatic increase in thermal expansion can be attributed to an increase in the mode-averaged Grüneisen parameter by a factor of nearly 3 from x = 0 to x = 24. Furthermore, these results highlight a potential mechanism for tuning thermal expansion, whereby guest atoms are incorporated into the voids of rigid, covalently bonded inorganic frameworks to influence the lattice dynamics.
- Authors:
-
- California Polytechnic State Univ. (CalPoly), San Luis Obispo, CA (United States)
- Illinois Inst. of Technology, Chicago, IL (United States); North Central College, Naperville, IL (United States)
- National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
- Univ. of South Florida, Tampa, FL (United States)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
- Sponsoring Org.:
- SDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Scientific User Facilities Division; National Science Foundation (NSF)
- OSTI Identifier:
- 1436777
- Alternate Identifier(s):
- OSTI ID: 1435392
- Grant/Contract Number:
- AC02-06CH11357; DMR-1400957
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Applied Physics Letters
- Additional Journal Information:
- Journal Volume: 112; Journal Issue: 18; Journal ID: ISSN 0003-6951
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- ENGLISH
- Subject:
- 36 MATERIALS SCIENCE; Crystallography; Crystal lattices; Silicon; Bulk modulus; Thermal effects; Lattice dynamics; Phonons; Complex solids; Thermodynamic properties; Anharmonicity
Citation Formats
Beekman, Matt, Kaduk, James A., Wong-Ng, Winnie, Troesch, Michael, Lee, Glenn S., and Nolas, George S. Control of thermal expansion in a low-density framework modification of silicon. United States: N. p., 2018.
Web. doi:10.1063/1.5027229.
Beekman, Matt, Kaduk, James A., Wong-Ng, Winnie, Troesch, Michael, Lee, Glenn S., & Nolas, George S. Control of thermal expansion in a low-density framework modification of silicon. United States. https://doi.org/10.1063/1.5027229
Beekman, Matt, Kaduk, James A., Wong-Ng, Winnie, Troesch, Michael, Lee, Glenn S., and Nolas, George S. Mon .
"Control of thermal expansion in a low-density framework modification of silicon". United States. https://doi.org/10.1063/1.5027229. https://www.osti.gov/servlets/purl/1436777.
@article{osti_1436777,
title = {Control of thermal expansion in a low-density framework modification of silicon},
author = {Beekman, Matt and Kaduk, James A. and Wong-Ng, Winnie and Troesch, Michael and Lee, Glenn S. and Nolas, George S.},
abstractNote = {The low-density clathrate-II modification of silicon, Si136, contains two distinct cage-like voids large enough to accommodate various types of guest atoms which influence both the host structure and its properties. Although the linear coefficient of thermal expansion of Si136 (293 K < T < 423 K) is only about 20% larger than that of the ground state α-Si (diamond structure), the coefficient of thermal expansion monotonically increases by more than 150% upon filling the framework cages with Na atoms in NaxSi136 (0 < x < 24), ranging from α = 2.6 x 10–6 K–1 (x = 0) to 6.8 × 10–6 K–1 (extrapolated to x = 24) by only varying the Na content, x. Taken together with the available heat capacity and bulk modulus data, the dramatic increase in thermal expansion can be attributed to an increase in the mode-averaged Grüneisen parameter by a factor of nearly 3 from x = 0 to x = 24. Furthermore, these results highlight a potential mechanism for tuning thermal expansion, whereby guest atoms are incorporated into the voids of rigid, covalently bonded inorganic frameworks to influence the lattice dynamics.},
doi = {10.1063/1.5027229},
journal = {Applied Physics Letters},
number = 18,
volume = 112,
place = {United States},
year = {2018},
month = {4}
}
Web of Science
Works referenced in this record:
Two Decades of Negative Thermal Expansion Research: Where Do We Stand?
journal, June 2012
- Lind, Cora
- Materials, Vol. 5, Issue 12
High Pressure Behavior of Silicon Clathrates: A New Class of Low Compressibility Materials
journal, December 1999
- San-Miguel, A.; Kéghélian, P.; Blase, X.
- Physical Review Letters, Vol. 83, Issue 25
Intrinsic Electrical and Thermal Properties from Single Crystals of
journal, January 2010
- Beekman, M.; Schnelle, W.; Borrmann, H.
- Physical Review Letters, Vol. 104, Issue 1
The Distortion‐Adjusted Change of Thermal Expansion Behavior of Cubic Magnetic Semiconductor (Sc 1− x M x )F 3 (M = Al, Fe)
journal, July 2016
- Han, Fei; Chen, Jun; Hu, Lei
- Journal of the American Ceramic Society, Vol. 99, Issue 9
Ab initio calculation of thermodynamic properties of silicon
journal, November 1994
- Wei, Siqing; Li, Changlin; Chou, M. Y.
- Physical Review B, Vol. 50, Issue 19
EXPGUI , a graphical user interface for GSAS
journal, April 2001
- Toby, Brian H.
- Journal of Applied Crystallography, Vol. 34, Issue 2
Tunable Anisotropic Thermal Expansion of a Porous Zinc(II) Metal–Organic Framework
journal, April 2013
- Grobler, Ilne; Smith, Vincent J.; Bhatt, Prashant M.
- Journal of the American Chemical Society, Vol. 135, Issue 17
Synthesis and Structural Characterization of Na x Si 136 (0 < x ≤ 24) Single Crystals and Low-Temperature Transport of Polycrystalline Specimens
journal, August 2012
- Stefanoski, Stevce; Malliakas, Christos D.; Kanatzidis, Mercouri G.
- Inorganic Chemistry, Vol. 51, Issue 16
Tunable thermal expansion and magnetism in Zr-doped ScF 3
journal, October 2016
- Wang, Tao; Xu, Jiale; Hu, Lei
- Applied Physics Letters, Vol. 109, Issue 18
Ab initio lattice dynamical studies of silicon clathrate frameworks and their negative thermal expansion
journal, January 2014
- Härkönen, Ville J.; Karttunen, Antti J.
- Physical Review B, Vol. 89, Issue 2
Phonon density of states of silicon clathrates: Characteristic width narrowing effect with respect to the diamond phase
journal, April 1999
- Mélinon, P.; Kéghélian, P.; Perez, A.
- Physical Review B, Vol. 59, Issue 15
Thermal properties of guest-free Si136 and Ge136 clathrates: A first-principles study
journal, August 2008
- Biswas, Koushik; Myles, Charles W.; Sanati, Mahdi
- Journal of Applied Physics, Vol. 104, Issue 3
Thermal conductivity of elemental crystalline silicon clathrate Si136
journal, February 2003
- Nolas, G. S.; Beekman, M.; Gryko, J.
- Applied Physics Letters, Vol. 82, Issue 6
Negative thermal expansion and compressibility of Sc 1– x Y x F 3 (x≤0.25)
journal, December 2013
- Morelock, Cody R.; Greve, Benjamin K.; Gallington, Leighanne C.
- Journal of Applied Physics, Vol. 114, Issue 21
Effect of Guest Atom Composition on the Structural and Vibrational Properties of the Type II Clathrate-Based Materials AxSi136, AxGe136 and AxSn136 (A = Na, K, Rb, Cs; 0 ≤ x ≤ 24)
journal, August 2016
- Xue, Dong; Myles, Charles; Higgins, Craig
- Materials, Vol. 9, Issue 8
Negative Thermal Expansion from 0.3 to 1050 Kelvin in ZrW2O8
journal, April 1996
- Mary, T. A.; Evans, J. S. O.; Vogt, T.
- Science, Vol. 272, Issue 5258
Tuning negative thermal expansion in Bi 1− x Ln x NiO 3 ( Ln = La, Nd, Eu, Dy)
journal, August 2013
- Oka, Kengo; Nabetani, Koichiro; Sakaguchi, Chika
- Applied Physics Letters, Vol. 103, Issue 6
Influence of guest loading on thermal properties of Na x Si 136 clathrates
journal, October 2013
- Ritchie, Andrew D.; Johnson, Michel B.; Niven, John F.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 43
Inorganic clathrate-II materials of group 14: synthetic routes and physical properties
journal, January 2008
- Beekman, M.; Nolas, G. S.
- J. Mater. Chem., Vol. 18, Issue 8
Tunable thermal expansion in framework materials through redox intercalation
journal, February 2017
- Chen, Jun; Gao, Qilong; Sanson, Andrea
- Nature Communications, Vol. 8, Issue 1
Negative thermal expansion materials: technological key for control of thermal expansion
journal, February 2012
- Takenaka, Koshi
- Science and Technology of Advanced Materials, Vol. 13, Issue 1
Negative thermal expansion in functional materials: controllable thermal expansion by chemical modifications
journal, January 2015
- Chen, Jun; Hu, Lei; Deng, Jinxia
- Chemical Society Reviews, Vol. 44, Issue 11
A profile refinement method for nuclear and magnetic structures
journal, June 1969
- Rietveld, H. M.
- Journal of Applied Crystallography, Vol. 2, Issue 2, p. 65-71
Systematic and Controllable Negative, Zero, and Positive Thermal Expansion in Cubic Zr 1– x Sn x Mo 2 O 8
journal, August 2013
- Tallentire, Sarah E.; Child, Felicity; Fall, Ian
- Journal of the American Chemical Society, Vol. 135, Issue 34
Complex changes in the framework of endohedrally Na-doped type II Si clathrates with respect to Na content
journal, September 2012
- Ban, Takayuki; Ogura, Takuya; Ohashi, Yoshitaka
- Journal of Materials Science, Vol. 48, Issue 3
Clathrates and beyond: Low-density allotropy in crystalline silicon
journal, June 2016
- Beekman, Matt; Wei, Kaya; Nolas, George S.
- Applied Physics Reviews, Vol. 3, Issue 4
Framework Contraction in Na-Stuffed Si( cF 136)
journal, June 2010
- Beekman, Matt; Nenghabi, Emmanuel N.; Biswas, Koushik
- Inorganic Chemistry, Vol. 49, Issue 12
Thermal properties of : Theoretical and experimental study of the type-II clathrate polymorph of Si
journal, July 2006
- Tang, Xiaoli; Dong, Jianjun; Hutchins, Peter
- Physical Review B, Vol. 74, Issue 1
Negative thermal expansion and low-frequency modes in cyanide-bridged framework materials
journal, April 2005
- Goodwin, Andrew L.; Kepert, Cameron J.
- Physical Review B, Vol. 71, Issue 14
High-pressure phase transformation of the silicon clathrate Si 136
journal, May 2000
- Ramachandran, Ganesh K.; McMillan, Paul F.; Deb, Sudip K.
- Journal of Physics: Condensed Matter, Vol. 12, Issue 17
A study of low-energy guest phonon modes in clathrate-II Na x Si 136 ( x = 3, 23, and 24)
journal, August 2010
- Beekman, M.; Hermann, R. P.; Möchel, A.
- Journal of Physics: Condensed Matter, Vol. 22, Issue 35
The widespread occurrence of negative thermal expansion in zeolites
journal, January 2001
- Lightfoot, Philip; Woodcock, David A.; Maple, Martin J.
- Journal of Materials Chemistry, Vol. 11, Issue 1
First-principles calculations for thermodynamic properties of type-I silicon clathrate intercalated by sodium atoms
journal, October 2015
- Zhang, Wei; Chen, Qing Yun; Li, Bin
- Modern Physics Letters B, Vol. 29, Issue 27
Phonon dynamics in type-VIII silicon clathrates: Beyond the rattler concept
journal, May 2017
- Norouzzadeh, Payam; Myles, Charles W.; Vashaee, Daryoosh
- Physical Review B, Vol. 95, Issue 19
Thermal expansion behavior of silicon at low temperatures
journal, January 1972
- Shah, Jayant S.; Straumanis, M. E.
- Solid State Communications, Vol. 10, Issue 1
Ab initio lattice dynamical studies of silicon clathrate frameworks and their negative thermal expansion
text, January 2014
- Härkönen, Ville J.; Karttunen, Antti J.
- arXiv
Works referencing / citing this record:
Zintl Phases as Reactive Precursors for Synthesis of Novel Silicon and Germanium-Based Materials
journal, April 2019
- Beekman, Matt; Kauzlarich, Susan; Doherty, Luke
- Materials, Vol. 12, Issue 7