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Title: A generalized force-modified potential energy surface (G-FMPES) for mechanochemical simulations

Abstract

We describe the modifications that a spatially varying external load produces on a Born-Oppenheimer potential energy surface (PES) by calculating static quantities of interest. The effects of the external loads are exemplified using electronic structure calculations (at the HF/6-31G** level) of two different molecules: ethane and hexahydro-1,3,5-trinitro-s-triazine (RDX). The calculated transition states and The Hessian matrices of stationary points show that spatially varying external loads shift the stationary points and modify the curvature of the PES, thereby affecting the harmonic transition rates by altering both the energy barrier as well as the prefactor. The harmonic spectra of both molecules are blue-shifted with increasing compressive “pressure.” Some stationary points on the RDX-PES disappear under application of the external load, indicating the merging of an energy minimum with a saddle point.

Authors:
 [1];  [2];  [3]
  1. Univ. of Southern Mississippi, Hattiesburg, MS (United States)
  2. Univ. of Missouri-Columbia, Columbia, MO (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1221826
Report Number(s):
LA-UR-15-23906
Journal ID: ISSN 0021-9606; TRN: US1500742
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 143; Journal Issue: 13; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; mechanochemistry; energy landscape; transition states; conformation; vibrational spectra

Citation Formats

Subramanian, Gopinath, Mathew, Nithin, and Leiding, Jeffery A. A generalized force-modified potential energy surface (G-FMPES) for mechanochemical simulations. United States: N. p., 2015. Web. doi:10.1063/1.4932103.
Subramanian, Gopinath, Mathew, Nithin, & Leiding, Jeffery A. A generalized force-modified potential energy surface (G-FMPES) for mechanochemical simulations. United States. https://doi.org/10.1063/1.4932103
Subramanian, Gopinath, Mathew, Nithin, and Leiding, Jeffery A. Mon . "A generalized force-modified potential energy surface (G-FMPES) for mechanochemical simulations". United States. https://doi.org/10.1063/1.4932103. https://www.osti.gov/servlets/purl/1221826.
@article{osti_1221826,
title = {A generalized force-modified potential energy surface (G-FMPES) for mechanochemical simulations},
author = {Subramanian, Gopinath and Mathew, Nithin and Leiding, Jeffery A.},
abstractNote = {We describe the modifications that a spatially varying external load produces on a Born-Oppenheimer potential energy surface (PES) by calculating static quantities of interest. The effects of the external loads are exemplified using electronic structure calculations (at the HF/6-31G** level) of two different molecules: ethane and hexahydro-1,3,5-trinitro-s-triazine (RDX). The calculated transition states and The Hessian matrices of stationary points show that spatially varying external loads shift the stationary points and modify the curvature of the PES, thereby affecting the harmonic transition rates by altering both the energy barrier as well as the prefactor. The harmonic spectra of both molecules are blue-shifted with increasing compressive “pressure.” Some stationary points on the RDX-PES disappear under application of the external load, indicating the merging of an energy minimum with a saddle point.},
doi = {10.1063/1.4932103},
journal = {Journal of Chemical Physics},
number = 13,
volume = 143,
place = {United States},
year = {Mon Oct 05 00:00:00 EDT 2015},
month = {Mon Oct 05 00:00:00 EDT 2015}
}

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Works referenced in this record:

Exploring the topography of the stress-modified energy landscapes of mechanosensitive molecules
journal, March 2014

  • Konda, Sai Sriharsha M.; Avdoshenko, Stanislav M.; Makarov, Dmitrii E.
  • The Journal of Chemical Physics, Vol. 140, Issue 10
  • DOI: 10.1063/1.4867500

Phase Diagram of Hexahydro-1,3,5-trinitro-1,3,5-triazine Crystals at High Pressures and Temperatures
journal, August 2010

  • Dreger, Zbigniew A.; Gupta, Yogendra M.
  • The Journal of Physical Chemistry A, Vol. 114, Issue 31
  • DOI: 10.1021/jp105226s

Comparison of the molecular structure of hexahydro-1,3,5-trinitro-s-triazine in the vapor, solution and solid phases
journal, February 1984

  • Karpowicz, Richard J.; Brill, Thomas B.
  • The Journal of Physical Chemistry, Vol. 88, Issue 3
  • DOI: 10.1021/j150647a005

Theoretical analysis of the rotational barrier in ethane: cause and consequences
journal, January 2015


Dislocation interaction with C in α-Fe: A comparison between atomic simulations and elasticity theory
journal, August 2008


Slip asymmetry in the molecular crystal cyclotrimethylenetrinitramine
journal, September 2013


RDX Geometries, Excited States, and Revised Energy Ordering of Conformers via MP2 and CCSD(T) Methodologies: Insights into Decomposition Mechanism
journal, February 2011

  • Molt, Robert W.; Watson, Thomas; Lotrich, Victor F.
  • The Journal of Physical Chemistry A, Vol. 115, Issue 5
  • DOI: 10.1021/jp109695v

Note on Hartree's Method
journal, January 1930


Point defect modeling in materials: coupling ab initio and elasticity approaches
text, January 2013


Explosives under pressure—the crystal structure of γ-RDX as determined by high-pressure X-ray and neutron diffraction
journal, January 2008

  • Davidson, Alistair J.; Oswald, Iain D. H.; Francis, Duncan J.
  • CrystEngComm, Vol. 10, Issue 2
  • DOI: 10.1039/B715677B

N�herungsmethode zur L�sung des quantenmechanischen Mehrk�rperproblems
journal, January 1930


The crystal structure of β-RDX—an elusive form of an explosive revealed
journal, January 2009

  • Millar, David I. A.; Oswald, Iain D. H.; Francis, Duncan J.
  • Chem. Commun., Issue 5
  • DOI: 10.1039/B817966B

Diffusion of Si impurities in Ni under stress: A first-principles study
journal, July 2014


Impact of homogeneous strain on uranium vacancy diffusion in uranium dioxide
journal, March 2015


Molecular conformational stability in cyclotrimethylene trinitramine crystals
journal, July 2011

  • Mathew, N.; Picu, R. C.
  • The Journal of Chemical Physics, Vol. 135, Issue 2
  • DOI: 10.1063/1.3609769

Self‐consistent molecular orbital methods. XX. A basis set for correlated wave functions
journal, January 1980

  • Krishnan, R.; Binkley, J. S.; Seeger, R.
  • The Journal of Chemical Physics, Vol. 72, Issue 1
  • DOI: 10.1063/1.438955

Inducing and quantifying forbidden reactivity with single-molecule polymer mechanochemistry
journal, February 2015

  • Wang, Junpeng; Kouznetsova, Tatiana B.; Niu, Zhenbin
  • Nature Chemistry, Vol. 7, Issue 4
  • DOI: 10.1038/nchem.2185

High-Pressure Vibrational Spectroscopy of Energetic Materials:  Hexahydro-1,3,5-trinitro-1,3,5-triazine
journal, January 2007

  • Ciezak, Jennifer A.; Jenkins, Timothy A.; Liu, Zhenxian
  • The Journal of Physical Chemistry A, Vol. 111, Issue 1
  • DOI: 10.1021/jp063150q

Peierls Stress of Dislocations in Molecular Crystal Cyclotrimethylene Trinitramine
journal, June 2013

  • Mathew, Nithin; Picu, Catalin R.; Chung, Peter. W.
  • The Journal of Physical Chemistry A, Vol. 117, Issue 25
  • DOI: 10.1021/jp401368t

Direct Transformation of Vacancy Voids to Stacking Fault Tetrahedra
journal, September 2007


Point defect modeling in materials: Coupling ab initio and elasticity approaches
journal, October 2013

  • Varvenne, Céline; Bruneval, Fabien; Marinica, Mihai-Cosmin
  • Physical Review B, Vol. 88, Issue 13
  • DOI: 10.1103/PhysRevB.88.134102

Frequency factors and isotope effects in solid state rate processes
journal, January 1957


Accurate rotational barrier calculations with diffusion quantum Monte Carlo
journal, April 2014


The crystal structure of cyclotrimethylenetrinitramine
journal, September 1972

  • Choi, C. S.; Prince, E.
  • Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry, Vol. 28, Issue 9
  • DOI: 10.1107/S0567740872007046

Modeling mechanophore activation within a viscous rubbery network
journal, February 2014

  • Silberstein, Meredith N.; Cremar, Lee D.; Beiermann, Brett A.
  • Journal of the Mechanics and Physics of Solids, Vol. 63
  • DOI: 10.1016/j.jmps.2013.09.014

High Pressure Raman Spectroscopy of Single Crystals of Hexahydro-1,3,5-trinitro-1,3,5-triazine (RDX)
journal, April 2007

  • Dreger, Zbigniew A.; Gupta, Yogendra M.
  • The Journal of Physical Chemistry B, Vol. 111, Issue 15
  • DOI: 10.1021/jp0681092

Homogeneous dislocation nucleation in cyclotrimethylene trinitramine under shock loading
journal, March 2010

  • Cawkwell, M. J.; Ramos, K. J.; Hooks, D. E.
  • Journal of Applied Physics, Vol. 107, Issue 6
  • DOI: 10.1063/1.3305630

Dislocation interaction with C in alpha-Fe: a comparison between atomic simulations and elasticity theory
text, January 2008


Nudged-elastic band method with two climbing images: Finding transition states in complex energy landscapes
journal, January 2015

  • Zarkevich, Nikolai A.; Johnson, Duane D.
  • The Journal of Chemical Physics, Vol. 142, Issue 2
  • DOI: 10.1063/1.4905209

Ab Initio Density Functional Computations of Conformations and Bond Dissociation Energies for Hexahydro-1,3,5-trinitro-1,3,5-triazine
journal, July 1997

  • Harris, Nathan J.; Lammertsma, Koop
  • Journal of the American Chemical Society, Vol. 119, Issue 28
  • DOI: 10.1021/ja970392i

Ab Initio and Nonlocal Density Functional Study of 1,3,5-Trinitro- s -triazine (RDX) Conformers
journal, November 1997

  • Rice, Betsy M.; Chabalowski, Cary F.
  • The Journal of Physical Chemistry A, Vol. 101, Issue 46
  • DOI: 10.1021/jp972062q

Rotational defects in cyclotrimethylene trinitramine (RDX) crystals
journal, January 2014

  • Pal, A.; Picu, R. C.
  • The Journal of Chemical Physics, Vol. 140, Issue 4
  • DOI: 10.1063/1.4862997

Novel Ion Traps Using Planar Resistive Electrodes: Implications for Miniaturized Mass Analyzers
journal, October 2008

  • Austin, D.; Peng, Y.; Hansen, B.
  • Journal of the American Society for Mass Spectrometry, Vol. 19, Issue 10
  • DOI: 10.1016/j.jasms.2008.03.019

Phase Diagram and High-Pressure Boundary of Hydrate Formation in the Ethane−Water System
journal, November 2006

  • Kurnosov, Alexander V.; Ogienko, Andrey G.; Goryainov, Sergei V.
  • The Journal of Physical Chemistry B, Vol. 110, Issue 43
  • DOI: 10.1021/jp0636726

Role of molecule flexibility on the nucleation of dislocations in molecular crystals
journal, October 2013

  • Munday, Lynn B.; Mitchell, Robert L.; Knap, Jaroslaw
  • Applied Physics Letters, Vol. 103, Issue 15
  • DOI: 10.1063/1.4824711

Structural Relaxation Made Simple
journal, October 2006


Simulations of High-Pressure Phases in RDX
journal, April 2011

  • Munday, Lynn B.; Chung, Peter W.; Rice, Betsy M.
  • The Journal of Physical Chemistry B, Vol. 115, Issue 15
  • DOI: 10.1021/jp112042a

The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods
journal, January 1928

  • Hartree, D. R.
  • Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 24, Issue 1
  • DOI: 10.1017/s0305004100011919

Hindered Rotation of the Methyl Groups in Ethane
journal, November 1936

  • Kemp, J. D.; Pitzer, Kenneth S.
  • The Journal of Chemical Physics, Vol. 4, Issue 11
  • DOI: 10.1063/1.1749784

Generalized stacking fault energy surfaces in the molecular crystal αRDX
journal, August 2012


Molecular dynamics study of the pressure-dependent terahertz infrared absorption spectrum of α - and γ -RDX
journal, July 2013

  • Pereverzev, Andrey; Sewell, Thomas D.; Thompson, Donald L.
  • The Journal of Chemical Physics, Vol. 139, Issue 4
  • DOI: 10.1063/1.4813795

Finding mechanochemical pathways and barriers without transition state search
journal, May 2015

  • Avdoshenko, Stanislav M.; Makarov, Dmitrii E.
  • The Journal of Chemical Physics, Vol. 142, Issue 17
  • DOI: 10.1063/1.4919541

Theory, analysis, and interpretation of single-molecule force spectroscopy experiments
journal, October 2008

  • Dudko, O. K.; Hummer, G.; Szabo, A.
  • Proceedings of the National Academy of Sciences, Vol. 105, Issue 41
  • DOI: 10.1073/pnas.0806085105

Raman Spectroscopy of High-Pressure−High-Temperature Polymorph of Hexahydro-1,3,5-trinitro-1,3,5-triazine (ε-RDX)
journal, July 2010

  • Dreger, Zbigniew A.; Gupta, Yogendra M.
  • The Journal of Physical Chemistry A, Vol. 114, Issue 26
  • DOI: 10.1021/jp102668d

Modeling mechanophore activation within a crosslinked glassy matrix
journal, July 2013

  • Silberstein, Meredith N.; Min, Kyoungmin; Cremar, Lee D.
  • Journal of Applied Physics, Vol. 114, Issue 2
  • DOI: 10.1063/1.4812581

Monitoring the α→β solid–solid phase transition of RDX with Raman spectroscopy: A theoretical and experimental study
journal, April 2010

  • Infante-Castillo, Ricardo; Pacheco-Londoño, Leonardo C.; Hernández-Rivera, Samuel P.
  • Journal of Molecular Structure, Vol. 970, Issue 1-3
  • DOI: 10.1016/j.molstruc.2010.02.021

Self-interstitial defects in hexagonal close packed metals revisited: Evidence for low-symmetry configurations in Ti, Zr, and Hf
journal, April 2013


Molecular dynamics characterization of void defects in crystalline (1,3,5-trinitro-1,3,5-triazacyclohexane)
journal, November 2009

  • Boyd, Sylke; Murray, Jane S.; Politzer, Peter
  • The Journal of Chemical Physics, Vol. 131, Issue 20
  • DOI: 10.1063/1.3265986

Molecular Catch Bonds and the Anti-Hammond Effect in Polymer Mechanochemistry
journal, August 2013

  • Konda, Sai Sriharsha M.; Brantley, Johnathan N.; Varghese, Bibin T.
  • Journal of the American Chemical Society, Vol. 135, Issue 34
  • DOI: 10.1021/ja4051108

Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points
journal, December 2000

  • Henkelman, Graeme; Jónsson, Hannes
  • The Journal of Chemical Physics, Vol. 113, Issue 22
  • DOI: 10.1063/1.1323224

The rotational barrier in ethane
journal, September 1962

  • Eyring, Henry; Grant, D. M.; Hecht, H.
  • Journal of Chemical Education, Vol. 39, Issue 9
  • DOI: 10.1021/ed039p466

High-Pressure Vibrational Spectroscopy of Hexahydro- 1,3,5-Trinitro-1,3,5-Triazine (RDX)
journal, November 2010

  • Zheng, Xianxu; Zhao, Jun; Tan, Duowang
  • Propellants, Explosives, Pyrotechnics, Vol. 36, Issue 1
  • DOI: 10.1002/prep.200900081

First Principles Dynamics and Minimum Energy Pathways for Mechanochemical Ring Opening of Cyclobutene
journal, May 2009

  • Ong, Mitchell T.; Leiding, Jeff; Tao, Hongli
  • Journal of the American Chemical Society, Vol. 131, Issue 18
  • DOI: 10.1021/ja8095834

Pressure-cooking of explosives—the crystal structure of ε-RDX as determined by X-ray and neutron diffraction
journal, January 2010

  • Millar, David I. A.; Oswald, Iain D. H.; Barry, Christopher
  • Chemical Communications, Vol. 46, Issue 31
  • DOI: 10.1039/c0cc00368a

Anomalous hardening under shock compression in (021)-oriented cyclotrimethylene trinitramine single crystals
journal, September 2010

  • Ramos, K. J.; Hooks, D. E.; Sewell, Thomas D.
  • Journal of Applied Physics, Vol. 108, Issue 6
  • DOI: 10.1063/1.3485807

Single-molecule force spectroscopy: optical tweezers, magnetic tweezers and atomic force microscopy
journal, May 2008


Works referencing / citing this record:

Toward a theory of mechanochemistry: Simple models from the very beginnings
journal, October 2018

  • Quapp, Wolfgang; Bofill, Josep Maria; Ribas-Ariño, Jordi
  • International Journal of Quantum Chemistry, Vol. 118, Issue 23
  • DOI: 10.1002/qua.25775

The effect of external forces on the initial dissociation of RDX (1,3,5-trinitro-1,3,5-triazine): A mechanochemical study: TODDE et al.
journal, July 2017

  • Todde, Guido; Jha, Sanjiv K.; Subramanian, Gopinath
  • International Journal of Quantum Chemistry, Vol. 117, Issue 20
  • DOI: 10.1002/qua.25426

Perspective: Mechanochemistry of biological and synthetic molecules
journal, January 2016

  • Makarov, Dmitrii E.
  • The Journal of Chemical Physics, Vol. 144, Issue 3
  • DOI: 10.1063/1.4939791

A mechanochemical study of the effects of compression on a Diels-Alder reaction
journal, August 2016

  • Jha, Sanjiv K.; Brown, Katie; Todde, Guido
  • The Journal of Chemical Physics, Vol. 145, Issue 7
  • DOI: 10.1063/1.4960955

Parallel Replica Dynamics of Bead-Spring Elastomers at Low Strain Rates
journal, May 2018


Quantum Chemical Modeling of Pressure‐Induced Spin Crossover in Octahedral Metal‐Ligand Complexes
journal, October 2019

  • Stauch, Tim; Chakraborty, Romit; Head‐Gordon, Martin
  • ChemPhysChem, Vol. 20, Issue 21
  • DOI: 10.1002/cphc.201900853

Mechanochemistry in [6]Cycloparaphenylene: A Combined Raman Spectroscopy and Density Functional Theory Study
journal, June 2018

  • Qiu, Lili; Peña-Alvarez, Miriam; Baonza, Valentín G.
  • ChemPhysChem, Vol. 19, Issue 15
  • DOI: 10.1002/cphc.201800319