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Title: Thermodynamics of HMX Polymorphs and HMX/RDX Mixtures

Abstract

In this paper, we present thermodynamic models for the five most commonly studied phases of the energetic material octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX): liquid HMX and four solid polymorphs (α-, β-, γ-, and δ-HMX). We show results for the density, heat capacity, bulk modulus, and sound speed, as well as a phase diagram that illustrates the temperature and pressure regions over which the various HMX phases are most thermodynamically stable. The models are based on the same equation of state presented in our recently published paper [Myint et al., Ind. Eng. Chem. Res., 2016, 55, 2252] on another energetic material, hexahydro-1,3,5-trinitro-1,3,5-triazine (RDX). We combine our HMX and RDX models together so that the equation of state can also be applied to liquid and solid mixtures of HMX/RDX. This allows us to generate an HMX/RDX phase diagram and calculate the enthalpy change associated with a few different kinds of phase transitions that these mixtures may undergo. Our paper is the first to present a single equation of state that is capable of modeling both pure HMX and HMX/RDX mixtures. A distinct feature of HMX is the strongly metastable nature of its polymorphs. This has caused some ambiguity in the literature regarding the thermodynamic stabilitymore » of α-HMX. Finally, by examining possible arrangements for the relative order of the six different solid-solid transition (α–β, α–γ, α–δ, β–γ, β–δ, and γ–δ) temperatures, we conclude that α-HMX must be thermodynamically stable so that the HMX phase diagram must have an α phase region.« less

Authors:
ORCiD logo [1];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Design Physics Division
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Materials Science Division
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE; USDOD
OSTI Identifier:
1438669
Report Number(s):
LLNL-JRNL-703524
Journal ID: ISSN 0888-5885
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Industrial and Engineering Chemistry Research
Additional Journal Information:
Journal Volume: 56; Journal Issue: 1; Journal ID: ISSN 0888-5885
Publisher:
American Chemical Society (ACS)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Myint, Philip C., and Nichols, Albert L. Thermodynamics of HMX Polymorphs and HMX/RDX Mixtures. United States: N. p., 2016. Web. doi:10.1021/acs.iecr.6b03697.
Myint, Philip C., & Nichols, Albert L. Thermodynamics of HMX Polymorphs and HMX/RDX Mixtures. United States. https://doi.org/10.1021/acs.iecr.6b03697
Myint, Philip C., and Nichols, Albert L. Fri . "Thermodynamics of HMX Polymorphs and HMX/RDX Mixtures". United States. https://doi.org/10.1021/acs.iecr.6b03697. https://www.osti.gov/servlets/purl/1438669.
@article{osti_1438669,
title = {Thermodynamics of HMX Polymorphs and HMX/RDX Mixtures},
author = {Myint, Philip C. and Nichols, Albert L.},
abstractNote = {In this paper, we present thermodynamic models for the five most commonly studied phases of the energetic material octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX): liquid HMX and four solid polymorphs (α-, β-, γ-, and δ-HMX). We show results for the density, heat capacity, bulk modulus, and sound speed, as well as a phase diagram that illustrates the temperature and pressure regions over which the various HMX phases are most thermodynamically stable. The models are based on the same equation of state presented in our recently published paper [Myint et al., Ind. Eng. Chem. Res., 2016, 55, 2252] on another energetic material, hexahydro-1,3,5-trinitro-1,3,5-triazine (RDX). We combine our HMX and RDX models together so that the equation of state can also be applied to liquid and solid mixtures of HMX/RDX. This allows us to generate an HMX/RDX phase diagram and calculate the enthalpy change associated with a few different kinds of phase transitions that these mixtures may undergo. Our paper is the first to present a single equation of state that is capable of modeling both pure HMX and HMX/RDX mixtures. A distinct feature of HMX is the strongly metastable nature of its polymorphs. This has caused some ambiguity in the literature regarding the thermodynamic stability of α-HMX. Finally, by examining possible arrangements for the relative order of the six different solid-solid transition (α–β, α–γ, α–δ, β–γ, β–δ, and γ–δ) temperatures, we conclude that α-HMX must be thermodynamically stable so that the HMX phase diagram must have an α phase region.},
doi = {10.1021/acs.iecr.6b03697},
journal = {Industrial and Engineering Chemistry Research},
number = 1,
volume = 56,
place = {United States},
year = {Fri Dec 09 00:00:00 EST 2016},
month = {Fri Dec 09 00:00:00 EST 2016}
}

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Works referenced in this record:

Equation of state, phase transition, decomposition of β-HMX (octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine) at high pressures
journal, December 1999

  • Yoo, Choong-Shik; Cynn, Hyunchae
  • The Journal of Chemical Physics, Vol. 111, Issue 22
  • DOI: 10.1063/1.480341

Isentropic compression loading of octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX) and the pressure-induced phase transition at 27GPa
journal, August 2004

  • Hare, D. E.; Forbes, J. W.; Reisman, D. B.
  • Applied Physics Letters, Vol. 85, Issue 6
  • DOI: 10.1063/1.1771464

Pressure-temperature dependence of the .beta.-.delta. polymorph interconversion in octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine
journal, December 1980

  • Landers, A. G.; Brill, T. B.
  • The Journal of Physical Chemistry, Vol. 84, Issue 26
  • DOI: 10.1021/j100463a015

The beta to delta transformation of HMX - Its thermal analysis and relationship to propellants
journal, November 1982

  • Karpowicz, Richard J.; Brill, Thomas B.
  • AIAA Journal, Vol. 20, Issue 11
  • DOI: 10.2514/3.7992

Thermal expansion, transitions, sensitivities and burning rates of HMX
journal, July 1992

  • Herrmann, Michael; Engel, Walter; Eisenreich, Norbert
  • Propellants, Explosives, Pyrotechnics, Vol. 17, Issue 4
  • DOI: 10.1002/prep.19920170409

The β–δ phase transition in the energetic nitramine octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine: Thermodynamics
journal, August 2002

  • Henson, B. F.; Smilowitz, L.; Asay, B. W.
  • The Journal of Chemical Physics, Vol. 117, Issue 8, p. 3780-3788
  • DOI: 10.1063/1.1495398

The β–δ phase transition in the energetic nitramine-octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine: Kinetics
journal, August 2002

  • Smilowitz, L.; Henson, B. F.; Asay, B. W.
  • The Journal of Chemical Physics, Vol. 117, Issue 8, p. 3789-3798
  • DOI: 10.1063/1.1495399

On the nucleation mechanism of the β-δ phase transition in the energetic nitramine octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine
journal, September 2004

  • Smilowitz, L.; Henson, B. F.; Greenfield, M.
  • The Journal of Chemical Physics, Vol. 121, Issue 11
  • DOI: 10.1063/1.1782491

A Distributed Activation Energy Model of Thermodynamically Inhibited Nucleation and Growth Reactions and Its Application to the β−δ Phase Transition of HMX
journal, December 2004

  • Burnham, Alan K.; Weese, Randall K.; Weeks, Brandon L.
  • The Journal of Physical Chemistry B, Vol. 108, Issue 50
  • DOI: 10.1021/jp0483167

Solid−Solid Phase Transformation via Internal Stress-induced Virtual Melting, Significantly below the Melting Temperature. Application to HMX Energetic Crystal
journal, May 2006

  • Levitas, Valery I.; Henson, Bryan F.; Smilowitz, Laura B.
  • The Journal of Physical Chemistry B, Vol. 110, Issue 20
  • DOI: 10.1021/jp057438b

Nucleation mechanism for reconstructive solid-solid phase transitions via melt mediated nanocluster transformation
journal, December 2006

  • Levitas, Valery I.; Smilowitz, Laura B.; Henson, Bryan F.
  • Applied Physics Letters, Vol. 89, Issue 23
  • DOI: 10.1063/1.2403900

CRYSTALLOGRAPHIC DATA. 36. Cyclotetramethylene Tetranitramine (HMX)
journal, September 1950


A New Two-Constant Equation of State
journal, February 1976

  • Peng, Ding-Yu; Robinson, Donald B.
  • Industrial & Engineering Chemistry Fundamentals, Vol. 15, Issue 1
  • DOI: 10.1021/i160057a011

Application of the Peng–Robinson Equation of State to Energetic Materials RDX and TNT: Pure Components, Liquid Mixtures, and Solid Mixtures
journal, February 2016

  • Myint, Philip C.; McClelland, Matthew A.; Nichols, Albert L.
  • Industrial & Engineering Chemistry Research, Vol. 55, Issue 7
  • DOI: 10.1021/acs.iecr.5b04808

Binary Phase Diagram Series: HMX/RDX
journal, July 2003

  • Mckenney, Robert; Krawietz, Thomas
  • Journal of Energetic Materials, Vol. 21, Issue 3
  • DOI: 10.1080/716100385

Vapour pressure and enthalpy of sublimation of 1,3,5,7-tetranitro-1,3,5,7-tetra-azacyclo-octane (HMX)
journal, January 1976

  • Taylor, John Watson; Crookes, Roy J.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 72, Issue 0
  • DOI: 10.1039/f19767200723

Corrigendum
journal, January 1981

  • Cundall, Robert B.; Palmer, T. Frank; Wood, Colin E. C.
  • Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, Vol. 77, Issue 3
  • DOI: 10.1039/f19817700711

Thermal decomposition and phase transitions in solid nitramines
journal, January 1971


Thermochemische untersuchungen an nitraminen
journal, July 1973


Heat capacities and phase transitions of octahydro- 1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX)
journal, November 1975


Thermal Behaviour of HMX/RDX Mixtures
journal, June 1992

  • Quintana, José R.; Ciller, Juan A.; Serna, Felipe J.
  • Propellants, Explosives, Pyrotechnics, Vol. 17, Issue 3
  • DOI: 10.1002/prep.19920170303

Thermal analysis of the phases of HMX using X-ray diffraction
journal, January 1993

  • Herrmann, M.; Engel, W.; Eisenreich, N.
  • Zeitschrift für Kristallographie - Crystalline Materials, Vol. 204, Issue 1-2
  • DOI: 10.1524/zkri.1993.204.12.121

Thermal Decomposition of HMX and Mixtures
journal, April 1995


Some predictions in the field of the physical thermal stability of nitramines
journal, October 1997


A study on the thermal decomposition behaviors of PETN, RDX, HNS and HMX
journal, September 2002


Kinetics of the β → δ solid–solid phase transition of HMX, octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine
journal, May 2003


The β-δ-Phase Transition and Thermal Expansion of Octahydro-1,3,5,7-Tetranitro-1,3,5,7-Tetrazocine
journal, May 2010

  • Xue, Chao; Sun, Jie; Kang, Bin
  • Propellants, Explosives, Pyrotechnics, Vol. 35, Issue 4
  • DOI: 10.1002/prep.200900036

Vapor pressures and heats of sublimation of some high-melting organic explosives
journal, January 1969

  • Rosen, Jerome M.; Dickinson, Charles
  • Journal of Chemical & Engineering Data, Vol. 14, Issue 1
  • DOI: 10.1021/je60040a044

Estimating Ambient Vapor Pressures of Low Volatility Explosives by Rising-Temperature Thermogravimetry
journal, April 2012

  • Brady, Joseph E.; Smith, James L.; Hart, Casuarina E.
  • Propellants, Explosives, Pyrotechnics, Vol. 37, Issue 2
  • DOI: 10.1002/prep.201100077

Temperature resolved X-ray diffraction as a tool of thermal analysis
journal, August 1997

  • Engel, W.; Eisenreich, N.; Herrmann, M.
  • Journal of thermal analysis, Vol. 49, Issue 2
  • DOI: 10.1007/BF01996790

Isothermal equations of state of beta octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine at high temperatures
journal, March 2005

  • Gump, Jared C.; Peiris, Suhithi M.
  • Journal of Applied Physics, Vol. 97, Issue 5
  • DOI: 10.1063/1.1856227

First Principles Calculation of the Mechanical Compression of Two Organic Molecular Crystals
journal, April 2006

  • Zerilli, Frank J.; Kuklja, Maija M.
  • The Journal of Physical Chemistry A, Vol. 110, Issue 15
  • DOI: 10.1021/jp0605754

Thermal Expansion of HMX
journal, February 2011

  • Deschamps, Jeffrey R.; Frisch, Mark; Parrish, Damon
  • Journal of Chemical Crystallography, Vol. 41, Issue 7
  • DOI: 10.1007/s10870-011-0026-6

A molecular dynamics simulation of solvent effects on the crystal morphology of HMX
journal, February 2010


Direct numerical simulation of shear localization and decomposition reactions in shock-loaded HMX crystal
journal, May 2015

  • Austin, Ryan A.; Barton, Nathan R.; Reaugh, John E.
  • Journal of Applied Physics, Vol. 117, Issue 18
  • DOI: 10.1063/1.4918538

Thermal properties measurements of solid rocket propellant oxidizers and binder materials as a function of temperature
journal, March 1999


Thermochemical functions for gas-phase, 1,3,5,7-tetranitro-1,3,5,7-tetraazacyclooctane (HMX), its condensed phases, and its larger reaction products
journal, August 2002


Ab Initio Equation of State of the Organic Molecular Crystal: β-Octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine
journal, April 2010

  • Zerilli, Frank J.; Kuklja, Maija M.
  • The Journal of Physical Chemistry A, Vol. 114, Issue 16
  • DOI: 10.1021/jp911767q

Theoretical study of phonon density of states, thermodynamic properties and phase transitions for HMX
journal, June 2014


Ab initio quantum chemical predictions of enthalpies of formation, heat capacities, and entropies of gas-phase energetic compounds
journal, October 2007


Fitting forms for isothermal data
journal, October 2001


A molecular dynamics simulation study of elastic properties of HMX
journal, October 2003

  • Sewell, Thomas D.; Menikoff, Ralph; Bedrov, Dmitry
  • The Journal of Chemical Physics, Vol. 119, Issue 14
  • DOI: 10.1063/1.1599273

The elastic constants and related properties of β-HMX determined by Brillouin scattering
journal, May 2005

  • Stevens, Lewis L.; Eckhardt, Craig J.
  • The Journal of Chemical Physics, Vol. 122, Issue 17
  • DOI: 10.1063/1.1883627

Equations of state for energetic materials from density functional theory with van der Waals, thermal, and zero-point energy corrections
journal, December 2010

  • Landerville, A. C.; Conroy, M. W.; Budzevich, M. M.
  • Applied Physics Letters, Vol. 97, Issue 25
  • DOI: 10.1063/1.3526754

Vibrational and thermodynamic properties of β-HMX: A first-principles investigation
journal, May 2011

  • Wu, Zhongqing; Kalia, Rajiv K.; Nakano, Aiichiro
  • The Journal of Chemical Physics, Vol. 134, Issue 20
  • DOI: 10.1063/1.3587135

Materials science and technology aspects of energetic (explosive) materials
journal, April 2006


Works referencing / citing this record:

Theoretical investigation into the influence of molar ratio on mixture system: α, γ, δ-HMX molecules coexisting with β-HMX crystal
journal, July 2019


Short communication: Estimation of yield stress/viscosity of molten octol
journal, May 2018


Non-Schmid effect of pressure on plastic deformation in molecular crystal HMX
journal, June 2019

  • Pal, Anirban; Picu, Catalin R.
  • Journal of Applied Physics, Vol. 125, Issue 21
  • DOI: 10.1063/1.5092285

Dislocation cross slip in molecular crystal cyclotetramethylene tetranitramine (β-HMX)
journal, October 2019

  • Khan, Mohammad; Picu, Catalin R.
  • Journal of Applied Physics, Vol. 126, Issue 15
  • DOI: 10.1063/1.5114940

Dislocation energy and line tension in molecular crystal cyclotetramethylene tetranitramine (β-HMX)
journal, February 2020

  • Khan, Mohammad; Picu, Catalin R.
  • Journal of Applied Physics, Vol. 127, Issue 5
  • DOI: 10.1063/1.5140195

Peierls–Nabarro stresses of dislocations in monoclinic cyclotetramethylene tetranitramine ( β -HMX)
journal, April 2018

  • Pal, Anirban; Picu, Catalin R.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 26, Issue 4
  • DOI: 10.1088/1361-651x/aab45a