Development of a Debye heat capacity model for vibrational modes with a gap in the density of states

Schliesser, Jacob M.; Woodfield, Brian F.

doi:10.1088/0953-8984/27/28/285402

Title: Development of a Debye heat capacity model for vibrational modes with a gap in the density of states

Journal Article · Tue Jun 30 00:00:00 EDT 2015 · Journal of Physics. Condensed Matter

DOI:https://doi.org/10.1088/0953-8984/27/28/285402· OSTI ID:1238829

Schliesser, Jacob M.; Woodfield, Brian F.

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Sponsoring Organization:: USDOE Advanced Research Projects Agency - Energy (ARPA-E)

Grant/Contract Number:: FG02-05ER15666

OSTI ID:: 1238829

Journal Information:: Journal of Physics. Condensed Matter, Journal Name: Journal of Physics. Condensed Matter Vol. 27 Journal Issue: 28; ISSN 0953-8984

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 36 works

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References (59)

Lattice vacancies responsible for the linear dependence of the low-temperature heat capacity of insulating materials Schliesser, Jacob M.; Woodfield, Brian F. Physical Review B, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevB.91.024109	journal	January 2015
Synthesis and characterization of pure and stabilized mesoporous anatase titanias Olsen, Rebecca E.; Bartholomew, Calvin H.; Huang, Baiyu Microporous and Mesoporous Materials, Vol. 184 https://doi.org/10.1016/j.micromeso.2013.09.030	journal	January 2014
Low-temperature heat capacity of metals Phillips, Norman E. C R C Critical Reviews in Solid State Sciences, Vol. 2, Issue 4 https://doi.org/10.1080/10408437108243546	journal	December 1971
Inelastic Neutron Scattering from Single-Domain BaTi $O_{3}$ Shirane, G.; Axe, J. D.; Harada, J. Physical Review B, Vol. 2, Issue 9 https://doi.org/10.1103/PhysRevB.2.3651	journal	November 1970
Intrinsic low-temperature thermal properties of glasses Stephens, Richard B. Physical Review B, Vol. 13, Issue 2 https://doi.org/10.1103/PhysRevB.13.852	journal	January 1976
Phonon density of states and thermodynamic properties in cubic and orthorhombic phases of ZrW2O8 Mittal, R.; Chaplot, S. L. Solid State Communications, Vol. 115, Issue 6 https://doi.org/10.1016/S0038-1098(00)00180-0	journal	June 2000
Low-frequency modes in vitreous silica Buchenau, U.; Prager, M.; Nücker, N. Physical Review B, Vol. 34, Issue 8 https://doi.org/10.1103/PhysRevB.34.5665	journal	October 1986
Effect of low-energy dynamics on anomalous vibrational amplitudes in vitreous silica Nakamura, Mitsutaka; Arai, Masatoshi; Inamura, Yasuhiro Physical Review B, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevB.66.024203	journal	June 2002
The Inversion of Specific Heat Curves Chambers, R. G. Proceedings of the Physical Society, Vol. 78, Issue 5 https://doi.org/10.1088/0370-1328/78/5/341	journal	November 1961
Thermal conductivity and specific heat of non-crystalline solids: Polystyrene and polymethyl methacrylate Stephens, R. B.; Cieloszyk, G. S.; Salinger, G. L. Physics Letters A, Vol. 38, Issue 3 https://doi.org/10.1016/0375-9601(72)90483-5	journal	January 1972
Origin of the negative thermal expansion in and Pryde, Alexandra K. A.; Hammonds, Kenton D.; Dove, Martin T. Journal of Physics: Condensed Matter, Vol. 8, Issue 50 https://doi.org/10.1088/0953-8984/8/50/023	journal	December 1996
A thermodynamic investigation of the cellulose allomorphs: Cellulose(am), cellulose Iβ(cr), cellulose II(cr), and cellulose III(cr) Goldberg, Robert N.; Schliesser, Jacob; Mittal, Ashutosh The Journal of Chemical Thermodynamics, Vol. 81 https://doi.org/10.1016/j.jct.2014.09.006	journal	February 2015
The Specific Heat of Small Particles at Low Temperatures Jura, George; Pitzer, Kenneth S. Journal of the American Chemical Society, Vol. 74, Issue 23 https://doi.org/10.1021/ja01143a061	journal	December 1952
Specific Heats at Low Temperatures Gopal, E. S. R. https://doi.org/10.1007/978-1-4684-9081-7	book	January 1966
Gittertheorie der mechanischen und thermischen Eigenschaften der Kristalle Leibfried, G. Handbuch der Physik / Encyclopedia of Physics https://doi.org/10.1007/978-3-642-45827-9_2	book	January 1955
Configuration, Energy, and Heat Capacity of Small Spherical Clusters of Atoms Burton, J. J. The Journal of Chemical Physics, Vol. 52, Issue 1 https://doi.org/10.1063/1.1672689	journal	January 1970
Phenomenological two-gap model for the specific heat of MgB ₂ Bouquet, F.; Wang, Y.; Fisher, R. A. Europhysics Letters (EPL), Vol. 56, Issue 6 https://doi.org/10.1209/epl/i2001-00598-7	journal	December 2001
Electron, spin-wave, hyperfine, and phonon contributions to the low-temperature specific heat of ${La}_{0.65} {Ca}_{0.35} {MnO}_{3} :$ Effects of magnetic fields and $^{16} {O /}^{18} O$ exchange Fisher, R. A.; Bouquet, F.; Phillips, N. E. Physical Review B, Vol. 64, Issue 13 https://doi.org/10.1103/PhysRevB.64.134425	journal	September 2001
Amorphous silica from the Rigid Unit Mode approach Dove, M. T.; Hammonds, K. D.; Harris, M. J. Mineralogical Magazine, Vol. 64, Issue 3 https://doi.org/10.1180/002646100549454	journal	June 2000
Heat Capacity of Small Particles of MgO between 1.5° and 4°K Lien, William H.; Phillips, Norman E. The Journal of Chemical Physics, Vol. 29, Issue 6 https://doi.org/10.1063/1.1744732	journal	December 1958
Negative thermal expansion in cubic ${ZrMo}_{2} O_{8}$ : Inelastic neutron scattering and lattice dynamical studies Mittal, R.; Chaplot, S. L.; Schober, H. Physical Review B, Vol. 70, Issue 21 https://doi.org/10.1103/PhysRevB.70.214303	journal	December 2004
Large Low Temperature Specific Heat in the Negative Thermal Expansion Compound ${ZrW}_{2} O_{8}$ Ramirez, A. P.; Kowach, G. R. Physical Review Letters, Vol. 80, Issue 22 https://doi.org/10.1103/PhysRevLett.80.4903	journal	June 1998
Neutron Scattering Study of the Low-Frequency Vibrations in Vitreous Silica Buchenau, U.; Nücker, N.; Dianoux, A. J. Physical Review Letters, Vol. 53, Issue 24 https://doi.org/10.1103/PhysRevLett.53.2316	journal	December 1984
Inelastic neutron scattering due to acoustic vibrations confined in nanoparticles: Theory and experiment Saviot, Lucien; Netting, Caleb H.; Murray, Daniel B. Physical Review B, Vol. 78, Issue 24 https://doi.org/10.1103/PhysRevB.78.245426	journal	December 2008
Temperature Dependence of the Magnetization of Dysprosium Metal Niira, Kazuo Physical Review, Vol. 117, Issue 1 https://doi.org/10.1103/PhysRev.117.129	journal	January 1960
Vibrational spectrum and specific heat of fine particles Nishiguchi, N.; Sakuma, T. Solid State Communications, Vol. 38, Issue 11 https://doi.org/10.1016/0038-1098(81)90020-X	journal	June 1981
Measurement of Spin-Wave Dispersion in NiO by Inelastic Neutron Scattering and Its Relation to Magnetic Properties Hutchings, M. T.; Samuelsen, E. J. Physical Review B, Vol. 6, Issue 9 https://doi.org/10.1103/PhysRevB.6.3447	journal	November 1972
A Unified Model for the Low-Energy Vibrational Behaviour of Amorphous Solids Elliott, S. R. Europhysics Letters (EPL), Vol. 19, Issue 3 https://doi.org/10.1209/0295-5075/19/3/009	journal	June 1992
Structure-property coupling in Sr $_{3}$ (Ru $_{1 - x}$ Mn $_{x}$ ) $_{2}$ O $_{7}$ Hu, Biao; McCandless, Gregory T.; Garlea, V. O. Physical Review B, Vol. 84, Issue 17 https://doi.org/10.1103/PhysRevB.84.174411	journal	November 2011
All Disordered Regions of Native Cellulose Show Common Low-Frequency Dynamics Müller, Martin; Czihak, Christoph; Schober, Helmut Macromolecules, Vol. 33, Issue 5 https://doi.org/10.1021/ma991227l	journal	March 2000
Rigid-Unit Modes and the Quantitative Determination of the Flexibility Possessed by Zeolite Frameworks Hammonds, Kenton D.; Heine, Volker; Dove, Martin T. The Journal of Physical Chemistry B, Vol. 102, Issue 10 https://doi.org/10.1021/jp980006z	journal	March 1998
Heat capacities, third-law entropies and thermodynamic functions of SiO2molecular sieves fromT= 0 K to 400 K Boerio-Goates, Juliana; Stevens, Rebecca; Hom, Ben K. The Journal of Chemical Thermodynamics, Vol. 34, Issue 2 https://doi.org/10.1006/jcht.2001.0900	journal	February 2002
Geometric origin of excess low-frequency vibrational modes in weakly connected amorphous solids Wyart, M.; Nagel, S. R.; Witten, T. A. Europhysics Letters (EPL), Vol. 72, Issue 3 https://doi.org/10.1209/epl/i2005-10245-5	journal	November 2005
The Crystal Structure of Sr2TiSi2O8 Höche, Thomas; Neumann, Wolfgang; Esmaeilzadeh, Saeid Journal of Solid State Chemistry, Vol. 166, Issue 1 https://doi.org/10.1006/jssc.2002.9545	journal	June 2002
Heat capacity and electron spin echo evidence for low frequency vibrational modes and lattice disorder in L -alanine at cryogenic temperatures Rakvin, B.; Maltar-Strmečki, N.; Ramsey, C. M. The Journal of Chemical Physics, Vol. 120, Issue 14 https://doi.org/10.1063/1.1666107	journal	April 2004
Identifying Vibrations That Destabilize Crystals and Characterize the Glassy State Greaves, G. N. Science, Vol. 308, Issue 5726 https://doi.org/10.1126/science.1109411	journal	May 2005
Floppy Modes in Crystalline and Amorphous Silicates Dove, Martin T.; Harris, Mark J.; Hannon, Alex C. Physical Review Letters, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevLett.78.1070	journal	February 1997
Thermoelastic properties of MgSiO ₃ perovskite using the Debye approach Anderson, Orson L. American Mineralogist, Vol. 83, Issue 1-2 https://doi.org/10.2138/am-1998-1-202	journal	February 1998
Rigid unit modes and the negative thermal expansion in ZrW ₂ O ₈ Pryde, Alexandra K. A.; Hammonds, Kenton D.; Dove, Martin T. Phase Transitions, Vol. 61, Issue 1-4 https://doi.org/10.1080/01411599708223734	journal	May 1997
Heat capacity of poly(3-hydroxybutyrate) Czerniecka, A.; Magoń, A.; Schliesser, J. The Journal of Chemical Thermodynamics, Vol. 73 https://doi.org/10.1016/j.jct.2013.10.020	journal	June 2014
Comparative study of quasiharmonic lattice dynamics, molecular dynamics and Debye model applied to MgSiO3 perovskite Oganov, Artem R.; Brodholt, John P.; David Price, G. Physics of the Earth and Planetary Interiors, Vol. 122, Issue 3-4 https://doi.org/10.1016/S0031-9201(00)00197-7	journal	December 2000
Vibration Eigenmodes and Size of Microcrystallites in Glass: Observation by Very-Low-Frequency Raman Scattering Duval, E.; Boukenter, A.; Champagnon, B. Physical Review Letters, Vol. 56, Issue 19 https://doi.org/10.1103/PhysRevLett.56.2052	journal	May 1986
Low temperature heat capacity study of Ba2TiSi2O8 and Sr2TiSi2O8 Shi, Quan; Park, Tae-Jin; Schliesser, Jacob The Journal of Chemical Thermodynamics, Vol. 72 https://doi.org/10.1016/j.jct.2014.01.021	journal	May 2014
Heat Capacity Studies of Nanocrystalline Magnetite (Fe ₃ O ₄ ) Snow, Claine L.; Shi, Quan; Boerio-Goates, Juliana The Journal of Physical Chemistry C, Vol. 114, Issue 49 https://doi.org/10.1021/jp1072704	journal	November 2010
Low-Temperature Properties of a Superconducting Disordered Metal Graebner, John E.; Golding, Brage; Schutz, R. J. Physical Review Letters, Vol. 39, Issue 23 https://doi.org/10.1103/PhysRevLett.39.1480	journal	December 1977
Structural relaxation in vitreous silica Buchenau, U.; Zhou, H. M.; Nucker, N. Physical Review Letters, Vol. 60, Issue 13 https://doi.org/10.1103/PhysRevLett.60.1318	journal	March 1988
Heat-capacity analysis of a large number of $A 15$ -type compounds Junod, A.; Jarlborg, T.; Muller, J. Physical Review B, Vol. 27, Issue 3 https://doi.org/10.1103/PhysRevB.27.1568	journal	February 1983
The low-temperature heat capacity and the Raman and Brillouin spectra of vitreous silica Flubacher, P.; Leadbetter, A. J.; Morrison, J. A. Journal of Physics and Chemistry of Solids, Vol. 12, Issue 1 https://doi.org/10.1016/0022-3697(59)90251-3	journal	December 1959
Structure Analysis of Al-Modified TiO ₂ Nanocatalyst Supports Olsen, Rebecca E.; Alam, Todd M.; Bartholomew, Calvin H. The Journal of Physical Chemistry C, Vol. 118, Issue 17 https://doi.org/10.1021/jp411953d	journal	April 2014
Low-temperature specific heat and thermal conductivity of glasses Gil, L.; Ramos, M. A.; Bringer, A. Physical Review Letters, Vol. 70, Issue 2 https://doi.org/10.1103/PhysRevLett.70.182	journal	January 1993
Surface and Size Effects on the Specific Heat Capacity of Nanoparticles Wang, Bu-Xuan; Zhou, Le-Ping; Peng, Xiao-Feng International Journal of Thermophysics, Vol. 27, Issue 1 https://doi.org/10.1007/s10765-006-0022-9	journal	January 2006
Origin of Negative Thermal Expansion in Cubic ${ZrW}_{2} O_{8}$ Revealed by High Pressure Inelastic Neutron Scattering Mittal, R.; Chaplot, S. L.; Schober, H. Physical Review Letters, Vol. 86, Issue 20 https://doi.org/10.1103/PhysRevLett.86.4692	journal	May 2001
Heat capacity of carbon nanotubes Benedict, Lorin X.; Louie, Steven G.; Cohen, Marvin L. Solid State Communications, Vol. 100, Issue 3 https://doi.org/10.1016/0038-1098(96)00386-9	journal	October 1996
Low-temperature heat capacity of alkali-metal and silver $β$ -aluminas McWhan, D. B.; Varma, C. M.; Hsu, F. L. S. Physical Review B, Vol. 15, Issue 2 https://doi.org/10.1103/PhysRevB.15.553	journal	January 1977
The vibrational modes of glasses Courtens, E.; Foret, M.; Hehlen, B. Solid State Communications, Vol. 117, Issue 3 https://doi.org/10.1016/S0038-1098(00)00434-8	journal	January 2001
Specific heat of the high-T c oxide superconductors Fisher, R. A.; Gordon, J. E.; Phillips, N. E. Journal of Superconductivity, Vol. 1, Issue 3 https://doi.org/10.1007/BF00617717	journal	September 1988
Magnetic-field dependence of the low-temperature specific heat of some high-Tc copper-oxide superconductors evidence for an contribution in the mixed state Fisher, R. A.; Gordon, J. E.; Reklis, S. F. Physica C: Superconductivity, Vol. 252, Issue 3-4 https://doi.org/10.1016/0921-4534(95)00463-7	journal	October 1995
The crystal structures of sodalite-group minerals Hassan, I.; Grundy, H. D. Acta Crystallographica Section B Structural Science, Vol. 40, Issue 1 https://doi.org/10.1107/S0108768184001683	journal	February 1984
Localized low-frequency dynamics in SiO2 glass Uchino, Takashi; Yoko, Toshinobu The Journal of Chemical Physics, Vol. 108, Issue 19 https://doi.org/10.1063/1.476253	journal	May 1998

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