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Title: Equations of state for the α and γ polymorphs of cyclotrimethylene trinitramine

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.4948673· OSTI ID:1498045
 [1];  [1];  [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Weapons Experiments Division

Equations of state for the $$α$$ and $$γ$$ polymorphs of the energetic molecular crystal cyclotrimethylene trinitramine (RDX) have been developed from their Helmholtz free energies. In this work, the ion motion contribution to the Helmholtz free energy is represented by Debye models with density-dependent Debye temperatures that are parameterized to vibrational densities of states computed from dispersion-corrected density functional theory. By separating the vibrational density of states into low frequency modes of mainly lattice phonon character and high frequency modes of intramolecular character we were able to significantly improve the description of the heat capacity at low temperatures and the thermal contribution to the pressure. The ion motion contribution to the Helmholtz free energy of the high pressure $$γ$$ polymorph was constructed from that of the a polymorph to reproduce the temperature-independent transformation pressure seen experimentally. The static lattice energies for both polymorphs were constructed to reproduce published isothermal compression data. The equations of state have been applied to the prediction of the path of the principal Hugoniot in the equilibrium phase diagram.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1498045
Alternate ID(s):
OSTI ID: 1421099
Report Number(s):
LA-UR-16-20675
Journal Information:
Journal of Applied Physics, Vol. 119, Issue 18; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 23 works
Citation information provided by
Web of Science

References (36)

Elastic-plastic behavior of cyclotrimethylene trinitramine single crystals under spherical indentation: Modeling and simulation journal March 2012
Effect of the damping function in dispersion corrected density functional theory journal March 2011
The crystal structure of cyclotrimethylenetrinitramine journal September 1972
Generalized Gradient Approximation Made Simple journal October 1996
Anisotropic material model and wave propagation simulations for shocked pentaerythritol tetranitrate single crystals journal May 2010
Phase Diagram of Hexahydro-1,3,5-trinitro-1,3,5-triazine Crystals at High Pressures and Temperatures journal August 2010
A universal equation of state for solids journal July 1986
Crystallographic Data. 32. RDX (Cyclotrimethylenetrinitramine) journal July 1950
Density functional theory with dispersion corrections for supramolecular structures, aggregates, and complexes of (bio)organic molecules journal January 2007
Coefficient of thermal expansion of pentaerythritol tetranitrate and hexahydro-1,3,5-trinitro-s-triazine (RDX) journal July 1972
The phase diagram of rdx (hexahydro-1,3,5-trinitro-s-triazine) under hydrostatic pressure journal February 1990
Theoretical Predictions of Energetic Molecular Crystals at Ambient and Hydrostatic Compression Conditions Using Dispersion Corrections to Conventional Density Functionals (DFT-D) journal March 2010
Ultrafast visualization of crystallization and grain growth in shock-compressed SiO2 journal September 2015
Explosives under pressure—the crystal structure of γ-RDX as determined by high-pressure X-ray and neutron diffraction journal January 2008
Experimental and DFT-D Studies of the Molecular Organic Energetic Material RDX journal April 2013
The crystal structure of β-RDX—an elusive form of an explosive revealed journal January 2009
A fully anisotropic single crystal model for high strain rate loading conditions with an application to α-RDX journal March 2014
In situ investigation of the dynamic response of energetic materials using IMPULSE at the Advanced Photon Source journal May 2014
Elastic and thermoelastic properties of selected organic crystals: acenaphthene, trans-azobenzene, benzophenone, tolane, trans-stilbene, dibenzyl, diphenyl sulfone, 2,2´-biphenol, urea, melamine, hexogen, succinimide, pentaerythritol, urotropine, malonic acid, dimethyl malonic acid, maleic acid, hippuric acid, aluminium acetylacetonate, iron acetylacetonate, and tetraphenyl silicon journal January 2001
Decomposition of γ-Cyclotrimethylene Trinitramine (γ-RDX): Relevance for Shock Wave Initiation journal August 2012
Quickstep: Fast and accurate density functional calculations using a mixed Gaussian and plane waves approach journal April 2005
Thermophysical properties of cyclotrimethylenetrinitramine journal October 1994
High-Pressure Vibrational Spectroscopy of Energetic Materials:  Hexahydro-1,3,5-trinitro-1,3,5-triazine journal January 2007
Lattice dynamics and the high-pressure equation of state of Au journal February 2004
Phase changes and the equation of state of Zr journal August 2005
Pressure-cooking of explosives—the crystal structure of ε-RDX as determined by X-ray and neutron diffraction journal January 2010
Theoretical investigation of the Cu EOS standard journal September 2006
Monte Carlo calculations of the elastic moduli and pressure-volume-temperature equation of state for hexahydro-1,3,5-trinitro-1,3,5-triazine journal July 2000
The Low-Temperature High-Pressure Phase Diagram of Energetic Materials: I. Hexahydro-1,3,5-Trinitro-s-Triazine journal October 2008
The elastic tensor of single crystal RDX determined by Brillouin spectroscopy journal November 2014
Ab initio phase diagram and nucleation of gallium journal May 2020
Density Functional Theory with Dispersion Corrections for Supramolecular Structures, Aggregates, and Complexes of (Bio)organic Molecules journal June 2007
Erratum: Ultrafast visualization of crystallization and grain growth in shock-compressed SiO2 journal October 2015
QUICKSTEP: Fast and accurate density functional calculations using a mixed Gaussian and plane waves approach text January 2005
Lattice Dynamics and the High Pressure Equation of State of Au text January 2003
Separable Dual Space Gaussian Pseudo-potentials text January 1995

Cited By (2)

Toward a Predictive Hierarchical Multiscale Modeling Approach for Energetic Materials book February 2019
Examining the chemical and structural properties that influence the sensitivity of energetic nitrate esters journal January 2018

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