Ab initio calculations of the rate of carrier trapping and release at dopant sites in NaI: Tl beyond the harmonic approximation

Prange, Micah P.; Govind, Niranjan; Kerisit, Sebastien N.

doi:10.1103/PhysRevB.101.024304

Title: Ab initio calculations of the rate of carrier trapping and release at dopant sites in NaI: Tl beyond the harmonic approximation

Journal Article · Wed Jan 01 00:00:00 EST 2020 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.101.024304· OSTI ID:1597649

^[1];

^[1]; Kerisit, Sebastien N. ^[1]

BATTELLE (PACIFIC NW LAB)

We present ab initio calculations of electron capture and release coefficients as a function of temperature for Tl dopants in the widely used scintillator NaI, which is a soft ionic crystal. The modelled capture and release events occur by transitions mediated by multiple phonon absorption and emission between states with significantly different local geometries around the trapping site. We demonstrate that such transitions are not well-described by the normal harmonic approximation to the nuclear dynamics. We avoid the harmonic approximation by numerically solving the vibrational Schrödinger equation for the motion along/of a single effective phonon coordinate. The localized trapped state is not correctly described by semilocal density functionals, so we employ a hybrid functional tuned to reproduce the band gap and lattice constant of the host material. Our calculations, which combine plane-wave and cluster electronic structure methods in a novel way, are in reasonable agreement with available experimental data for detrapping and predict an unusual temperature dependence for trapping rates.

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Research Organization:: Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC05-76RL01830

OSTI ID:: 1597649

Report Number(s):: PNNL-SA-145002

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 101, Issue 2

Country of Publication:: United States

Language:: English

References (80)

Twenty Five Years of Scintillation Counting Hofstadter, Robert; Stein, Max H. IEEE Transactions on Nuclear Science, Vol. 22, Issue 1 https://doi.org/10.1109/TNS.1975.4327607	journal	January 1975
Scintillation response of nonactivated and activated NaI to random and channeled ions: Influence of the luminescence mechanism Birkmire, R. W.; Murray, R. B.; Luntz, M. Physical Review B, Vol. 15, Issue 1 https://doi.org/10.1103/PhysRevB.15.31	journal	January 1977
Kinetics of the diffusion of self-trapped holes in alkali halide scintillators Dietrich, H. B.; Murray, R. B. Journal of Luminescence, Vol. 5, Issue 3 https://doi.org/10.1016/0022-2313(72)90039-7	journal	July 1972
Thermal Motion of Holes in Potassium Iodide Keller, F. J.; Murray, R. B. Physical Review, Vol. 150, Issue 2 https://doi.org/10.1103/PhysRev.150.670	journal	October 1966
Energy Transfer in Alkali Halide Scintillators by Electron-Hole Diffusion and Capture Murray, R. B. IEEE Transactions on Nuclear Science, Vol. 22, Issue 1 https://doi.org/10.1109/TNS.1975.4327614	journal	January 1975
Recombination Luminescence from $V_{K}$ Centers in Potassium Iodide Murray, R. B.; Keller, F. J. Physical Review, Vol. 137, Issue 3A https://doi.org/10.1103/PhysRev.137.A942	journal	February 1965
Diffusion of the Vk-polaron in alkali halides: Experiments in NaI and RbI Popp, R. D.; Murray, R. B. Journal of Physics and Chemistry of Solids, Vol. 33, Issue 3 https://doi.org/10.1016/0022-3697(72)90069-8	journal	January 1972
Transient Optical Absorption by Self-Trapped Excitons in Alkali Halide Crystals Fuller, R. G.; Williams, R. T.; Kabler, M. N. Physical Review Letters, Vol. 25, Issue 7 https://doi.org/10.1103/PhysRevLett.25.446	journal	August 1970
Excited-state absorption spectroscopy of self-trapped excitons in alkali halides Williams, R. T.; Kabler, M. N. Physical Review B, Vol. 9, Issue 4 https://doi.org/10.1103/PhysRevB.9.1897	journal	February 1974
The self-trapped exciton Williams, R. T.; Song, K. S. Journal of Physics and Chemistry of Solids, Vol. 51, Issue 7 https://doi.org/10.1016/0022-3697(90)90144-5	journal	January 1990
Off-center self-trapped excitons and creation of lattice defects in alkali halide crystals Williams, R. T.; Song, K. S.; Faust, W. L. Physical Review B, Vol. 33, Issue 10 https://doi.org/10.1103/PhysRevB.33.7232	journal	May 1986
Progress in Studying Scintillator Proportionality: Phenomenological Model Bizarri, G.; Cherepy, N. J.; Choong, W. S. IEEE Transactions on Nuclear Science, Vol. 56, Issue 4 https://doi.org/10.1109/TNS.2009.2022625	journal	August 2009
The role of different linear and non-linear channels of relaxation in scintillator non-proportionality Bizarri, G.; Moses, W. W.; Singh, J. Journal of Luminescence, Vol. 129, Issue 12 https://doi.org/10.1016/j.jlumin.2008.12.024	journal	December 2009
An analytical model of nonproportional scintillator light yield in terms of recombination rates Bizarri, G.; Moses, W. W.; Singh, J. Journal of Applied Physics, Vol. 105, Issue 4 https://doi.org/10.1063/1.3081651	journal	February 2009
Simple model relating recombination rates and non-proportional light yield in scintillators Bizarri, G.; Moses, W. W.; Singh, J. physica status solidi (c), Vol. 6, Issue 1 https://doi.org/10.1002/pssc.200879814	journal	January 2009
The roles of thermalized and hot carrier diffusion in determining light yield and proportionality of scintillators Grim, J. Q.; Li, Q.; Ucer, K. B. physica status solidi (a), Vol. 209, Issue 12 https://doi.org/10.1002/pssa.201200436	journal	November 2012
Nonlinear quenching of densely excited states in wide-gap solids Grim, Joel Q.; Ucer, K. B.; Burger, A. Physical Review B, Vol. 87, Issue 12 https://doi.org/10.1103/PhysRevB.87.125117	journal	March 2013
Role of hot electron transport in scintillators: A theoretical study Huang, Huihui; Li, Qi; Lu, Xinfu physica status solidi (RRL) - Rapid Research Letters, Vol. 10, Issue 10 https://doi.org/10.1002/pssr.201600276	journal	September 2016
Host structure dependence of light yield and proportionality in scintillators in terms of hot and thermalized carrier transport Li, Qi; Grim, Joel Q.; Ucer, K. B. physica status solidi (RRL) - Rapid Research Letters, Vol. 6, Issue 8 https://doi.org/10.1002/pssr.201206258	journal	July 2012
The role of hole mobility in scintillator proportionality Li, Qi; Grim, Joel Q.; Williams, R. T. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 652, Issue 1 https://doi.org/10.1016/j.nima.2010.07.074	journal	October 2011
A transport-based model of material trends in nonproportionality of scintillators Li, Qi; Grim, Joel Q.; Williams, R. T. Journal of Applied Physics, Vol. 109, Issue 12 https://doi.org/10.1063/1.3600070	journal	June 2011
First principles calculations and experiment predictions for iodine vacancy centers in SrI ₂ Li, Qi; Williams, R. T.; Åberg, Daniel physica status solidi (b), Vol. 250, Issue 2 https://doi.org/10.1002/pssb.201200503	journal	January 2013
Coupled rate and transport equations modeling proportionality of light yield in high-energy electron tracks: CsI at 295 K and 100 K; CsI:Tl at 295 K Lu, Xinfu; Li, Qi; Bizarri, G. A. Physical Review B, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevB.92.115207	journal	September 2015
The Origins of Scintillator Non-Proportionality Moses, W. W.; Bizarri, G. A.; Williams, R. T. IEEE Transactions on Nuclear Science, Vol. 59, Issue 5 https://doi.org/10.1109/TNS.2012.2186463	journal	October 2012
Luminescence and ultraviolet excitation spectroscopy of SrI2 and SrI2:Eu2+ Pankratov, V.; Popov, A. I.; Shirmane, L. Radiation Measurements, Vol. 56 https://doi.org/10.1016/j.radmeas.2013.02.022	journal	September 2013
Electron thermalization and trapping rates in pure and doped alkali and alkaline-earth iodide crystals studied by picosecond optical absorption Ucer, K. B.; Bizarri, G.; Burger, A. Physical Review B, Vol. 89, Issue 16 https://doi.org/10.1103/PhysRevB.89.165112	journal	April 2014
Excitation density, diffusion-drift, and proportionality in scintillators Williams, R. T.; Grim, Joel Q.; Li, Qi physica status solidi (b), Vol. 248, Issue 2 https://doi.org/10.1002/pssb.201000610	journal	November 2010
Computer simulation of the light yield nonlinearity of inorganic scintillators Kerisit, Sebastien; Rosso, Kevin M.; Cannon, Bret D. Journal of Applied Physics, Vol. 105, Issue 11 https://doi.org/10.1063/1.3143786	journal	June 2009
Kinetic Monte Carlo Simulations of Scintillation Processes in NaI(Tl) Kerisit, Sebastien; Wang, Zhiguo; Williams, Richard T. IEEE Transactions on Nuclear Science, Vol. 61, Issue 2 https://doi.org/10.1109/TNS.2014.2300142	journal	April 2014
Kinetic Monte Carlo Model of Scintillation Mechanisms in CsI and CsI(Tl) Kerisit, Sebastien; Rosso, Kevin M.; Cannon, Bret D. IEEE Transactions on Nuclear Science, Vol. 55, Issue 3 https://doi.org/10.1109/TNS.2008.922830	journal	June 2008
Electron-phonon scattering rates in complex polar crystals Prange, M. P.; Campbell, L. W.; Kerisit, S. Physical Review B, Vol. 96, Issue 10 https://doi.org/10.1103/PhysRevB.96.104307	journal	September 2017
Calculation of energy relaxation rates of fast particles by phonons in crystals Prange, M. P.; Campbell, L. W.; Wu, D. Physical Review B, Vol. 91, Issue 10 https://doi.org/10.1103/PhysRevB.91.104305	journal	March 2015
Multiscale Approach to Estimation of Scintillation Characteristics Vasil'ev, Andrey N.; Gektin, Aleksandr V. IEEE Transactions on Nuclear Science, Vol. 61, Issue 1 https://doi.org/10.1109/TNS.2013.2282117	journal	February 2014
Monte Carlo simulation of electron thermalization in scintillator materials: Implications for scintillator nonproportionality Prange, Micah P.; Xie, YuLong; Campbell, Luke W. Journal of Applied Physics, Vol. 122, Issue 23 https://doi.org/10.1063/1.4998966	journal	December 2017
Signal variance in gamma-ray detectors—A review Devanathan, R.; Corrales, L. R.; Gao, F. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 565, Issue 2 https://doi.org/10.1016/j.nima.2006.05.085	journal	September 2006
Nonproportionality of Scintillator Detectors: Theory and Experiment Payne, Stephen A.; Cherepy, Nerine J.; Hull, Giulia IEEE Transactions on Nuclear Science, Vol. 56, Issue 4 https://doi.org/10.1109/TNS.2009.2023657	journal	August 2009
From Luminescence Non-Linearity to Scintillation Non-Proportionality Vasil'ev, Andrey N. IEEE Transactions on Nuclear Science, Vol. 55, Issue 3 https://doi.org/10.1109/TNS.2007.914367	journal	June 2008
The Influence of Cation Impurities on the Scintillation Performance of <formula formulatype="inline"><tex Notation="TeX">${{\hbox {SrI}}_2}$</tex></formula>(Eu) Lam, Stephanie; Swider, Stacy E.; Datta, Amlan IEEE Transactions on Nuclear Science, Vol. 62, Issue 6 https://doi.org/10.1109/TNS.2015.2496800	journal	December 2015
Improving γ-ray energy resolution, non-proportionality, and decay time of NaI:Tl ⁺ with Sr ²⁺ and Ca ²⁺ co-doping Yang, K.; Menge, P. R. Journal of Applied Physics, Vol. 118, Issue 21 https://doi.org/10.1063/1.4937126	journal	December 2015
Eu Doped and Eu, Tl Co-Doped NaI Scintillators Shiran, Natalia V.; Gektin, Alexander V.; Boyarintseva, Yanina IEEE Transactions on Nuclear Science, Vol. 57, Issue 3 https://doi.org/10.1109/TNS.2010.2048578	journal	June 2010
Effect of Au codoping on the scintillation properties of BaBrCl:Eu single crystals Shalapska, Tetiana; Moretti, Federico; Bourret, Edith Journal of Luminescence, Vol. 202 https://doi.org/10.1016/j.jlumin.2018.06.019	journal	October 2018
Optimization of scintillation performance via a combinatorial multi-element co-doping strategy: Application to NaI:Tl Khodyuk, I. V.; Messina, S. A.; Hayden, T. J. Journal of Applied Physics, Vol. 118, Issue 8 https://doi.org/10.1063/1.4928771	journal	August 2015
Scintillation Efficiency Improvement by Mixed Crystal Use Gektin, Alexander V.; Belsky, Andrei N.; Vasil'ev, Andrey N. IEEE Transactions on Nuclear Science, Vol. 61, Issue 1 https://doi.org/10.1109/TNS.2013.2277883	journal	February 2014
Ramifications of codoping SrI ₂ :Eu with isovalent and aliovalent impurities Feng, Qingguo; Biswas, Koushik Journal of Applied Physics, Vol. 120, Issue 21 https://doi.org/10.1063/1.4971180	journal	December 2016
Afterglow Suppression and Non-Radiative Charge-Transfer in CsI:Tl,Sm Bartram, Ralph H.; Kappers, Lawrence A.; Hamilton, Douglas S. IEEE Transactions on Nuclear Science, Vol. 55, Issue 3 https://doi.org/10.1109/TNS.2008.922833	journal	June 2008
Improvement of γ-ray energy resolution of LaBr₃:Ce³⁺ scintillation detectors by Sr²⁺ and Ca²⁺ co-doping Alekhin, M. S.; de Haas, J. T. M.; Khodyuk, I. V. Applied Physics Letters, Vol. 102, Issue 16, Article No. 161915 https://doi.org/10.1063/1.4803440	journal	April 2013
Carrier Trap Parameters in NaI with Tl, In, and Eu Dopants Gridin, S.; Williams, R. T.; Belsky, A. The Journal of Physical Chemistry C, Vol. 123, Issue 22 https://doi.org/10.1021/acs.jpcc.9b03429	journal	May 2019
First-principles theory of nonradiative carrier capture via multiphonon emission Alkauskas, Audrius; Yan, Qimin; Van de Walle, Chris G. Physical Review B, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevB.90.075202	journal	August 2014
Theory of inelastic multiphonon scattering and carrier capture by defects in semiconductors: Application to capture cross sections Barmparis, Georgios D.; Puzyrev, Yevgeniy S.; Zhang, X. -G. Physical Review B, Vol. 92, Issue 21 https://doi.org/10.1103/PhysRevB.92.214111	journal	December 2015
Comparative study of ab initio nonradiative recombination rate calculations under different formalisms Shi, Lin; Xu, Ke; Wang, Lin-Wang Physical Review B, Vol. 91, Issue 20 https://doi.org/10.1103/PhysRevB.91.205315	journal	May 2015
Reply to “Comment on ‘Comparative study of ab initio nonradiative recombination rate calculations under different formalisms’ ” Shi, Lin; Xu, Ke; Wang, Lin-Wang Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/PhysRevB.97.077302	journal	February 2018
The Quantum Theory of the Emission and Absorption of Radiation Dirac, P. A. M. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 114, Issue 767 https://doi.org/10.1098/rspa.1927.0039	journal	March 1927
Many-Particle Physics Mahan, Gerald D. Physics of Solids and Liquids (PSLI) https://doi.org/10.1007/978-1-4757-5714-9	book	January 2000
The relation between various coupling schemes for calculating nonradiative multiphonon transition rates Burt, M. G. Journal of Physics C: Solid State Physics, Vol. 16, Issue 21 https://doi.org/10.1088/0022-3719/16/21/015	journal	July 1983
First-Principles Calculations of Luminescence Spectrum Line Shapes for Defects in Semiconductors: The Example of GaN and ZnO Alkauskas, Audrius; Lyons, John L.; Steiauf, Daniel Physical Review Letters, Vol. 109, Issue 26 https://doi.org/10.1103/PhysRevLett.109.267401	journal	December 2012
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set Kresse, G.; Furthmüller, J. Physical Review B, Vol. 54, Issue 16, p. 11169-11186 https://doi.org/10.1103/PhysRevB.54.11169	journal	October 1996
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set Kresse, G.; Furthmüller, J. Computational Materials Science, Vol. 6, Issue 1, p. 15-50 https://doi.org/10.1016/0927-0256(96)00008-0	journal	July 1996
Ab initiomolecular dynamics for liquid metals Kresse, G.; Hafner, J. Physical Review B, Vol. 47, Issue 1, p. 558-561 https://doi.org/10.1103/PhysRevB.47.558	journal	January 1993
Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium Kresse, G.; Hafner, J. Physical Review B, Vol. 49, Issue 20, p. 14251-14269 https://doi.org/10.1103/PhysRevB.49.14251	journal	May 1994
Projector augmented-wave method Blöchl, P. E. Physical Review B, Vol. 50, Issue 24, p. 17953-17979 https://doi.org/10.1103/PhysRevB.50.17953	journal	December 1994
From ultrasoft pseudopotentials to the projector augmented-wave method Kresse, G.; Joubert, D. Physical Review B, Vol. 59, Issue 3, p. 1758-1775 https://doi.org/10.1103/PhysRevB.59.1758	journal	January 1999
Measuring the dependence of the decay curve on the electron energy deposit in NaI(Tl) Choong, W. -S.; Bizarri, G.; Cherepy, N. J. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 646, Issue 1 https://doi.org/10.1016/j.nima.2011.04.053	journal	August 2011
Temperature Dependence of NaI(Tl) Decay Constant Schweitzer, J. S.; Ziehl, W. IEEE Transactions on Nuclear Science, Vol. 30, Issue 1 https://doi.org/10.1109/TNS.1983.4332293	journal	January 1983
NWChem: A comprehensive and scalable open-source solution for large scale molecular simulations Valiev, M.; Bylaska, E. J.; Govind, N. Computer Physics Communications, Vol. 181, Issue 9, p. 1477-1489 https://doi.org/10.1016/j.cpc.2010.04.018	journal	September 2010
Formation, stability, and mobility of self-trapped excitations in NaI and NaI $_{1 - x}$ Tl $_{x}$ from first principles Prange, M. P.; Van Ginhoven, R. M.; Govind, N. Physical Review B, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevB.87.115101	journal	March 2013
Excitons in potassium bromide: A study using embedded time-dependent density functional theory and equation-of-motion coupled cluster methods Govind, N.; Sushko, P. V.; Hess, W. P. Chemical Physics Letters, Vol. 470, Issue 4-6 https://doi.org/10.1016/j.cplett.2009.01.073	journal	March 2009
Ab initio relativistic effective potentials with spin‐orbit operators. I. Li through Ar Fernandez Pacios, Luis; Christiansen, P. A. The Journal of Chemical Physics, Vol. 82, Issue 6, p. 2664-2671 https://doi.org/10.1063/1.448263	journal	March 1985
A b i n i t i o relativistic effective potentials with spin‐orbit operators. II. K through Kr Hurley, M. M.; Pacios, Luis Fernandez; Christiansen, P. A. The Journal of Chemical Physics, Vol. 84, Issue 12 https://doi.org/10.1063/1.450689	journal	June 1986
Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy Weigend, Florian; Ahlrichs, Reinhart Physical Chemistry Chemical Physics, Vol. 7, Issue 18, p. 3297-3305 https://doi.org/10.1039/b508541a	journal	January 2005
Generalized Gradient Approximation Made Simple Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868 https://doi.org/10.1103/PhysRevLett.77.3865	journal	October 1996
Rationale for mixing exact exchange with density functional approximations Perdew, John P.; Ernzerhof, Matthias; Burke, Kieron The Journal of Chemical Physics, Vol. 105, Issue 22, p. 9982-9985 https://doi.org/10.1063/1.472933	journal	December 1996
Toward reliable density functional methods without adjustable parameters: The PBE0 model Adamo, Carlo; Barone, Vincenzo The Journal of Chemical Physics, Vol. 110, Issue 13 https://doi.org/10.1063/1.478522	journal	April 1999
Note: Theoretical mixing coefficients for hybrid functionals Cortona, Pietro The Journal of Chemical Physics, Vol. 136, Issue 8 https://doi.org/10.1063/1.3690462	journal	February 2012
Communication: One third: A new recipe for the PBE0 paradigm Guido, Ciro A.; Brémond, Eric; Adamo, Carlo The Journal of Chemical Physics, Vol. 138, Issue 2 https://doi.org/10.1063/1.4775591	journal	January 2013
Extreme-Ultraviolet Spectra of Ionic Crystals Brown, Frederick C.; Gähwiller, Christian; Fujita, Hiizu Physical Review B, Vol. 2, Issue 6 https://doi.org/10.1103/PhysRevB.2.2126	journal	September 1970
Density‐functional thermochemistry. III. The role of exact exchange Becke, Axel D. The Journal of Chemical Physics, Vol. 98, Issue 7, p. 5648-5652 https://doi.org/10.1063/1.464913	journal	April 1993
A new mixing of Hartree–Fock and local density‐functional theories Becke, Axel D. The Journal of Chemical Physics, Vol. 98, Issue 2 https://doi.org/10.1063/1.464304	journal	January 1993
LEVEL: A computer program for solving the radial Schrödinger equation for bound and quasibound levels Le Roy, Robert J. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 186 https://doi.org/10.1016/j.jqsrt.2016.05.028	journal	January 2017
Calculation of Intensity Distribution in the Vibrational Structure of Electronic Transitions: The B ³ Π _{0 ⁺ u} — X ¹ Σ _{0 ⁺ g} Resonance Series of Molecular Iodine Zare, R. N. The Journal of Chemical Physics, Vol. 40, Issue 7 https://doi.org/10.1063/1.1725425	journal	April 1964
Electric-field induced intramolecular electron transfer in spiro .pi.-electron systems and their suitability as molecular electronic devices. A theoretical study Farazdel, Abbas; Dupuis, Michel; Clementi, Enrico Journal of the American Chemical Society, Vol. 112, Issue 11 https://doi.org/10.1021/ja00167a016	journal	May 1990

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