First-principles Phonon Calculations with Phonopy and Phono3py
Open accessAbstract
Harmonic, quasi-harmonic, and anharmonic phonon properties of crystals are getting to be better predicted using firstprinciples phonon calculations by virtue of the progress of the calculation methods and increasing computer power.In this review, basic formulae of phonon properties are reviewed with the phonon calculation examples performed using the phonon calculation codes, phonopy and phono3py, combined with the first-principles calculations.The computational workflow to utilize the first-principles phonon calculation is straightforward and its automation is of great interest to science.Therefore, a few practical applications of the automated first-principles phonon calculations are also presented.
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Researchers must typically integrate multiple tools such as Atomsk, LAMMPS, Phonopy, and OVITO, alongside literature or web search to retrieve force fields from databases like the NIST Interatomic Potentials Repository.
“Researchers must typically integrate multiple tools such as, for example, Atomsk for structure generation, 7 LAMMPS for dynamics simulation, 8 Phonopy for simulation analysis, 9 and OVITO for visualization, 10 alongside literature or web search to retrieve force fields from relevant databases like the NIST Interatomic Potentials Repository.11”
From Multi-agentic AI framework for end-to-end atomistic simulations (2026) · cites this paper as [9]
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From ultrasoft pseudopotentials to the projector augmented-wave method
Kresse, G., & Joubert, D. (1999) · Physical Review B · doi:10.1103/physrevb.59.1758 · Cited by 85,307 · see citing works
Kresse, G., & Furthmüller, J. (1996) · Computational Materials Science · doi:10.1016/0927-0256(96)00008-0 · Cited by 75,541 · see citing works
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135 · see citing works
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541 · see citing works
Ab initio molecular dynamics for liquid metals.
Kresse, G., & Hafner, J. (1995) · Physical Review B (Condensed Matter) · doi:10.1016/0022-3093(95)00355-x · Cited by 32,786 · see citing works
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
Giannozzi, P., Stefano Baroni, A., Bonini, N., Calandra, M., Car, R., Cavazzoni, C., Ceresoli, D., Chiarotti, G., Cococcioni, M., Dabo, I., et al. (2009) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/21/39/395502 · Cited by 29,336 · see citing works
VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data
Momma, K., & Izumi, F. (2011) · Journal of Applied Crystallography · doi:10.1107/s0021889811038970 · Cited by 26,123 · see citing works
Harris, C. R., Millman, K. J., van der Walt, S. J., Gommers, R., Virtanen, P., Cournapeau, D., Wieser, E., Taylor, J., Berg, S., Smith, N. J., et al. (2020) · Nature · doi:10.1038/s41586-020-2649-2 · Cited by 23,826 · see citing works
Harris, C., Millman, K., van der Walt, S., Gommers, R., Virtanen, P., Cournapeau, D., Wieser, E., Taylor, J., Berg, S., Smith, N., et al. (2020) · RePEc: Research Papers in Economics · Cited by 17,844 · see citing works
Introduction to Solid State Physics
KITTEL, C., & Dexter, D. L. (1953) · American Journal of Physics · doi:10.1119/1.1933590 · Cited by 13,362 · see citing works
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation
Jain, A., Ong, S. P., Hautier, G., Chen, W., Richards, W. D., Dacek, S., Cholia, S., Gunter, D., Skinner, D., Ceder, G., et al. (2013) · APL Materials · doi:10.1063/1.4812323 · Cited by 13,094 · see citing works
Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces
Perdew, J. P., Ruzsinszky, A., Csonka, G. I., Vydrov, O. A., Scuseria, G. E., Constantin, L. A., Zhou, X., & Burke, K. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.136406 · Cited by 11,970 · see citing works
First principles phonon calculations in materials science
Togo, A., & Tanaka, I. (2015) · Scripta Materialia · doi:10.1016/j.scriptamat.2015.07.021 · Cited by 11,493 · see citing works
Self-citationDynamical Theory of Crystal Lattices
Born, M., Huang, K., & Lax, M. D. (1955) · American Journal of Physics · doi:10.1119/1.1934059 · Cited by 10,567 · see citing works
Phonons and related crystal properties from density-functional perturbation theory
Stefano Baroni, A., de Gironcoli, S., Corso, A. D., & Giannozzi, P. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.515 · Cited by 10,017 · see citing works
Advanced capabilities for materials modelling with Q <scp>uantum</scp> ESPRESSO
Giannozzi, P., Andreussi, O., Brumme, T., Bunau, O., Buongiorno Nardelli, M., Calandra, M., Car, R., Cavazzoni, C., Ceresoli, D., Cococcioni, M., et al. (2017) · Journal of Physics: Condensed Matter · doi:10.1088/1361-648x/aa8f79 · Cited by 8,361 · see citing works
Mahan, G. D. (1990) · Springer eBooks · doi:10.1007/978-1-4613-1469-1 · Cited by 8,220 · see citing works
Improved tetrahedron method for Brillouin-zone integrations
Blöchl, P. E., Jepsen, O., & Andersen, O. K. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.49.16223 · Cited by 7,296 · see citing works
Anderson, E., Bai, Z., Bischof, C., Blackford, L. S., Demmel, J., Dongarra, J. J., Croz, J. D., Greenbaum, A., Hammarling, S. J., McKenney, A., et al. (1999) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719604 · Cited by 4,437 · see citing works
Gonze, X., & Lee, C. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.55.10355 · Cited by 3,400 · see citing works
NIST-JANAF Thermochemical Tables
Chase, M. W. (1998) · Medical Entomology and Zoology · Cited by 3,244 · see citing works
ShengBTE: A solver of the Boltzmann transport equation for phonons
Li, W., Carrete, J., A. Katcho, N., & Mingo, N. (2014) · Computer Physics Communications · doi:10.1016/j.cpc.2014.02.015 · Cited by 3,147 · see citing works
First-principles computation of material properties: the ABINIT software project
Gonze, X., Beuken, J.-M., Caracas, R., Detraux, F., Fuchs, M., Rignanese, G., Sindic, L., Verstraete, M. J., Gilles Zérah, A., Jollet, F., et al. (2002) · Computational Materials Science · doi:10.1016/s0927-0256(02)00325-7 · Cited by 3,094 · see citing works
First-Principles Determination of the Soft Mode in Cubic ZrO 2
Parliński, K., Li, Z. Q., & Kawazoe, Y. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.4063 · Cited by 2,835 · see citing works
Green’s-function approach to linear response in solids
Stefano Baroni, A., Giannozzi, P., & Testa, A. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1861 · Cited by 2,092 · see citing works
Principles of Quantum Mechanics
Shankar, R. (1994) · Springer eBooks · doi:10.1007/978-1-4757-0576-8 · Cited by 2,019 · see citing works
Ab initio calculation of phonon dispersions in semiconductors
Giannozzi, P., de Gironcoli, S., Pavone, P., & Stefano Baroni, A. (1991) · Physical review. B, Condensed matter · doi:10.1103/physrevb.43.7231 · Cited by 1,903 · see citing works
Crystallography Open Database – an open-access collection of crystal structures
Gražulis, S., Chateigner, D., Downs, R. T., Yokochi, A., Quirós, M., Lutterotti, L., Manakova, E., Butkus, J., Moeck, P., & Bail, A. L. (2009) · Journal of Applied Crystallography · doi:10.1107/s0021889809016690 · Cited by 1,827 · see citing works
Electronic Structure: Basic Theory and Practical Methods
Martin, R. M. (2004) · doi:10.1017/cbo9780511805769 · Cited by 1,752 · see citing works
Distributions of phonon lifetimes in Brillouin zones
Togo, A., Chaput, L., & Tanaka, I. (2015) · Physical Review B · doi:10.1103/physrevb.91.094306 · Cited by 1,496 · see citing works
Self-citationThermophysical Properties of Materials
Fecht, H.-J., Wunderlich, R., Battezzati, L., et al. (1999) · Elsevier eBooks · doi:10.1016/b978-0-444-82794-4.x5000-1 · Cited by 1,461 · see citing works
Gražulis, S., Daškevič, A., Merkys, A., Chateigner, D., Lutterotti, L., Quirós, M., Serebryanaya, N. R., Moeck, P., Downs, R. T., & Bail, A. L. (2011) · Nucleic Acids Research · doi:10.1093/nar/gkr900 · Cited by 1,300 · see citing works
Introduction to the Theory of Thermal Neutron Scattering
Squires, G. L. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139107808 · Cited by 1,293 · see citing works
Ziman, J. M. (2001) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198507796.001.0001 · Cited by 1,182 · see citing works
Aroyo, M. I., Kirov, A. K., Capillas, C., Perez-Mato, J. M., & WONDRATSCHEK, H. (2006) · Acta Crystallographica Section A Foundations of Crystallography · doi:10.1107/s0108767305040286 · Cited by 1,125 · see citing works
Dynamical properties of solids
Horton, G. K., & Maradudin, A. A. (1985) · Cited by 1,107 · see citing works
Universal features of the equation of state of solids
Vinet, P., Rose, J. H., Ferrante, J., et al. (1989) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/1/11/002 · Cited by 1,061 · see citing works
Atomic weights of the elements. Review 2000 (IUPAC Technical Report)
Laeter, J. R. D., Böhlke, J. K., Bièvre, P. D., Hidaka, H., Peiser, H. S., Rosman, K. J. R., & Taylor, P. D. P. (2003) · Pure and Applied Chemistry · doi:10.1351/pac200375060683 · Cited by 1,053 · see citing works
Many–Body Quantum Theory in Condensed Matter Physics
Bruus, H., & Flensberg, K. (2004) · doi:10.1093/oso/9780198566335.001.0001 · Cited by 1,031 · see citing works
Zur kinetischen Theorie der Wärmeleitung in Kristallen
Peierls, R. F. (1929) · Annalen der Physik · doi:10.1002/andp.19293950803 · Cited by 1,008 · see citing works
Scattering of Neutrons by an Anharmonic Crystal
Maradudin, A. A., & Fein, A. E. (1962) · Physical Review · doi:10.1103/physrev.128.2589 · Cited by 952 · see citing works
PHON: A program to calculate phonons using the small displacement method
Alfè, D. (2009) · Computer Physics Communications · doi:10.1016/j.cpc.2009.03.010 · Cited by 831 · see citing works
Introduction to Lattice Dynamics
Dove, M. T. (1993) · Cambridge University Press eBooks · doi:10.1017/cbo9780511619885 · Cited by 828 · see citing works
Microscopic Theory of Force Constants in the Adiabatic Approximation
Pick, R. M., Cohen, M. H., & Martin, R. M. (1970) · Physical review. B, Solid state · doi:10.1103/physrevb.1.910 · Cited by 778 · see citing works
The Abinitproject: Impact, environment and recent developments
Gonze, X., Amadon, B., Antonius, G., Arnardi, F., Baguet, L., Beuken, J.-M., Bieder, J., François Bottin, A., Bouchet, J., Bousquet, É., et al. (2019) · Computer Physics Communications · doi:10.1016/j.cpc.2019.107042 · Cited by 750 · see citing works
Lattice dynamics of anharmonic solids from first principles
Hellman, O., Abrikosov, I. A., & Simak, S. I. (2011) · Physical Review B · doi:10.1103/physrevb.84.180301 · Cited by 705 · see citing works
The Thermal Expansion of Pure Metals: Copper, Gold, Aluminum, Nickel, and Iron
Nix, F. C., & MacNair, D. (1941) · Physical Review · doi:10.1103/physrev.60.597 · Cited by 681 · see citing works
Linear-response theory and lattice dynamics: A muffin-tin-orbital approach
Savrasov, S. Y. (1996) · Physical review. B, Condensed matter · doi:10.1103/physrevb.54.16470 · Cited by 668 · see citing works
Tadano, T., Gohda, Y., & Tsuneyuki, S. (2014) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/26/22/225402 · Cited by 660 · see citing works
New analytical scattering-factor functions for free atoms and ions
Waasmaier, D., & Kirfel, Α. (1995) · Acta Crystallographica Section A Foundations of Crystallography · doi:10.1107/s0108767394013292 · Cited by 646 · see citing works
Tadano, T., & Tsuneyuki, S. (2015) · Physical Review B · doi:10.1103/physrevb.92.054301 · Cited by 640 · see citing works
Temperature dependent effective potential method for accurate free energy calculations of solids
Hellman, O., Steneteg, P., Abrikosov, I. A., & Simak, S. I. (2013) · Physical Review B · doi:10.1103/physrevb.87.104111 · Cited by 638 · see citing works
Downs, R. T. (2003) · American Mineralogist · doi:10.2138/am-2003-0409 · Cited by 627 · see citing works
AiiDA: automated interactive infrastructure and database for computational science
Pizzi, G., Cepellotti, A., Sabatini, R., Marzari, N., & Kozinsky, B. (2015) · Computational Materials Science · doi:10.1016/j.commatsci.2015.09.013 · Cited by 584 · see citing works
Togo, A., Chaput, L., Tanaka, I., & Hug, G. (2010) · Physical Review B · doi:10.1103/physrevb.81.174301 · Cited by 567 · see citing works
Self-citationIsotope scattering of dispersive phonons in Ge
Tamura, S.-I. (1983) · Physical review. B, Condensed matter · doi:10.1103/physrevb.27.858 · Cited by 567 · see citing works
Phonon-phonon interactions in transition metals
Chaput, L., Togo, A., Tanaka, I., & Hug, G. (2011) · Physical Review B · doi:10.1103/physrevb.84.094302 · Cited by 515 · see citing works
Self-citationThe Hiphive Package for the Extraction of High‐Order Force Constants by Machine Learning
Eriksson, F., Fransson, E., & Erhart, P. (2019) · Advanced Theory and Simulations · doi:10.1002/adts.201800184 · Cited by 479 · see citing works
Ong, S. P., Cholia, S., Jain, A., Brafman, M., Gunter, D., Ceder, G., & Persson, K. A. (2014) · Computational Materials Science · doi:10.1016/j.commatsci.2014.10.037 · Cited by 474 · see citing works
Temperature-dependent effective third-order interatomic force constants from first principles
Hellman, O., & Abrikosov, I. A. (2013) · Physical Review B · doi:10.1103/physrevb.88.144301 · Cited by 462 · see citing works
Errea, I., Calandra, M., & Mauri, F. (2014) · Physical Review B · doi:10.1103/physrevb.89.064302 · Cited by 443 · see citing works
Density-functional approach to nonlinear-response coefficients of solids
Gonze, X., & Vigneron, J.-P. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.39.13120 · Cited by 438 · see citing works
Souvatzis, P., Eriksson, O., Katsnelson, M. I., & Rudin, S. P. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.095901 · Cited by 420 · see citing works
Symmetry Properties of the Normal Vibrations of a Crystal
Maradudin, A. A., & Vosko, S. H. (1968) · Reviews of Modern Physics · doi:10.1103/revmodphys.40.1 · Cited by 403 · see citing works
Materials Cloud, a platform for open computational science
Talirz, L., Kumbhar, S., Passaro, E., Yakutovich, A. V., Granata, V., Gargiulo, F., Borelli, M., Uhrin, M., Huber, S. P., Zoupanos, S., et al. (2020) · Scientific Data · doi:10.1038/s41597-020-00637-5 · Cited by 399 · see citing works
Validation of the Crystallography Open Database using the Crystallographic Information Framework
Vaitkus, A., Merkys, A., & Gražulis, S. (2021) · Journal of Applied Crystallography · doi:10.1107/s1600576720016532 · Cited by 373 · see citing works
ABINIT: Overview and focus on selected capabilities
Romero, A. H., Allan, D. C., Amadon, B., Antonius, G., Applencourt, T., Baguet, L., Bieder, J., François Bottin, A., Bouchet, J., Bousquet, É., et al. (2020) · The Journal of Chemical Physics · doi:10.1063/1.5144261 · Cited by 341 · see citing works
Navrotsky, A. (1999) · Eos · doi:10.1029/99eo00098 · Cited by 335 · see citing works
Materials Cloud, a platform for open computational science
Talirz, L., Kumbhar, S., Passaro, E., Yakutovich, A. V., Granata, V., Gargiulo, F., Borelli, M., Uhrin, M., Huber, S. P., Zoupanos, S., et al. (2020) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-b-000440189 · Cited by 319 · see citing works
Carrete, J., Vermeersch, B., Katre, A., van Roekeghem, A., Wang, T., Madsen, G. K. H., & Mingo, N. (2017) · Computer Physics Communications · doi:10.1016/j.cpc.2017.06.023 · Cited by 301 · see citing works
Interatomic force constants from first principles: The case of α-quartz
Gonze, X., Charlier, J., Allan, D. C., & Teter, M. P. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.50.13035 · Cited by 287 · see citing works
Errea, I., Calandra, M., & Mauri, F. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.177002 · Cited by 269 · see citing works
Quirós, M., Gražulis, S., Girdzijauskaitė, S., et al. (2018) · Journal of Cheminformatics · doi:10.1186/s13321-018-0279-6 · Cited by 261 · see citing works
Direct Solution to the Linearized Phonon Boltzmann Equation
Chaput, L. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.265506 · Cited by 258 · see citing works
Monacelli, L., Bianco, R., Cherubini, M., Calandra, M., Errea, I., & Mauri, F. (2021) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ac066b · Cited by 258 · see citing works
Computing stoichiometric molecular composition from crystal structures
Gražulis, S., Merkys, A., Vaitkus, A., et al. (2015) · Journal of Applied Crystallography · doi:10.1107/s1600576714025904 · Cited by 229 · see citing works
COD::CIF::Parser : an error-correcting CIF parser for the Perl language
Merkys, A., Vaitkus, A., Butkus, J., Okulič-Kazarinas, M., Kairys, V., & Gražulis, S. (2015) · Journal of Applied Crystallography · doi:10.1107/s1600576715022396 · Cited by 224 · see citing works
Bianco, R., Errea, I., Paulatto, L., et al. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.014111 · Cited by 203 · see citing works
Uhrin, M., Huber, S. P., Yu, J., Marzari, N., & Pizzi, G. (2020) · Computational Materials Science · doi:10.1016/j.commatsci.2020.110086 · Cited by 166 · see citing works
First-Principles Lattice Dynamics Method for Strongly Anharmonic Crystals
Tadano, T., & Tsuneyuki, S. (2018) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.87.041015 · Cited by 163 · see citing works
Extensions of the tetrahedron method for evaluating spectral properties of solids
MacDonald, A. H., Vosko, S. H., & Coleridge, P. T. (1979) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/12/15/008 · Cited by 162 · see citing works
PEIERLS, R. (2001) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198507819.001.0001 · Cited by 154 · see citing works
Oba, Y., Tadano, T., Akashi, R., & Tsuneyuki, S. (2019) · Physical Review Materials · doi:10.1103/physrevmaterials.3.033601 · Cited by 126 · see citing works
Monacelli, L., Errea, I., Calandra, M., & Mauri, F. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.024106 · Cited by 115 · see citing works
The thermal expansion of aluminium from 0 to 650 C
Wilson, A. J. C. (1941) · Proceedings of the Physical Society · doi:10.1088/0959-5309/53/3/305 · Cited by 111 · see citing works
Evolution of crystal structures in metallic elements
Togo, A., & Tanaka, I. (2013) · Physical Review B · doi:10.1103/physrevb.87.184104 · Cited by 109 · see citing works
Self-citationMizokami, K., Togo, A., & Tanaka, I. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.224306 · Cited by 102 · see citing works
Self-citationPaulatto, L., Errea, I., Calandra, M., et al. (2015) · Physical Review B · doi:10.1103/physrevb.91.054304 · Cited by 95 · see citing works
Strong anharmonicity in the phonon spectra of PbTe and SnTe from first principles
Ribeiro, G. A. S., Paulatto, L., Bianco, R., Errea, I., Mauri, F., & Calandra, M. (2018) · Physical Review B · doi:10.1103/physrevb.97.014306 · Cited by 95 · see citing works
Phonon Transport Simulator (PhonTS)
Chernatynskiy, A., & Phillpot, S. R. (2015) · Computer Physics Communications · doi:10.1016/j.cpc.2015.01.008 · Cited by 75 · see citing works
YPHON: A package for calculating phonons of polar materials
Wang, Y., Chen, L., & Liu, Z. (2014) · Computer Physics Communications · doi:10.1016/j.cpc.2014.06.023 · Cited by 71 · see citing works
Dispersion Relations for Phonons in KCl at 80 and 300°K
Raunio, G., & Almqvist, L. (1969) · physica status solidi (b) · doi:10.1002/pssb.19690330118 · Cited by 70 · see citing works
Bianco, R., Errea, I., Calandra, M., et al. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.214101 · Cited by 56 · see citing works
Aseginolaza, U., Bianco, R., Monacelli, L., et al. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.214307 · Cited by 51 · see citing works
Lane, N. J., Vogel, S. C., Hug, G., et al. (2012) · Physical Review B · doi:10.1103/physrevb.86.214301 · Cited by 50 · see citing works
Quantum Self-Consistent Ab-Initio Lattice Dynamics
van Roekeghem, A., Carrete, J., & Mingo, N. (2021) · Computer Physics Communications · doi:10.1016/j.cpc.2021.107945 · Cited by 40 · see citing works
A posteriori metadata from automated provenance tracking: integration of AiiDA and TCOD
Merkys, A., Mounet, N., Cepellotti, A., Marzari, N., Gražulis, S., & Pizzi, G. (2017) · Journal of Cheminformatics · doi:10.1186/s13321-017-0242-y · Cited by 37 · see citing works
Ab initio ORTEP drawings: a case study of N-based molecular crystals with different chemical nature
Deringer, V. L., Stoffel, R. P., Togo, A., et al. (2014) · CrystEngComm · doi:10.1039/c4ce01637h · Cited by 35 · see citing works
Self-citationGroup Theory with Applications in Chemical Physics
Jacobs, P. W. M. (2005) · Cambridge University Press eBooks · doi:10.1017/cbo9780511535390 · Cited by 35 · see citing works
Symmetry and Condensed Matter Physics: A Computational Approach
El-Batanouny, M., & Wooten, F. (2008) · Cited by 32 · see citing works
THE CRYSTALLOGRAPHY OF DEFORMATION TWINNING IN TITANIUM
Crocker, A. G., & Bevis, M. J. (1970) · Elsevier eBooks · doi:10.1016/b978-0-08-006564-9.50055-5 · Cited by 25 · see citing works
Temperature in a Peierls-Boltzmann treatment of nonlocal phonon heat transport
Allen, P. B., & Perebeinos, V. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.085427 · Cited by 23 · see citing works
Togo, A., Hayashi, H., Tadano, T., et al. (2022) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ac7b01 · Cited by 11 · see citing works
Self-citationPhonon structure of titanium under shear deformation along {101¯2} twinning mode
Togo, A., Inoue, Y., & Tanaka, I. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.024106 · Cited by 4 · see citing works
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Research works printed but not linked: 3
- Electronic Structure, ed. R. M. Martin (Cambridge University Press, Cambridge, U.K., 2004).
- G. P. Srivastava, Physics of Phonons (CRC Press, Boca Raton, FL, 1990).
- A. Togo, H. Hayashi, T. Tadano, S. Tsutsui, and I. Tanaka, J. Phys.: Condens. Matter 34, 365401 (2022). · DOI
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Multi-agentic AI framework for end-to-end atomistic simulations
Vriza, A., Kornu, U., Koneru, A., Chan, H., & Sankaranarayanan, S. K. R. S. (2026) · Digital Discovery · doi:10.1039/d5dd00435g · Cited by 8 · see citing works
- Authors
- Togo, A.
- Affiliations
- National Institute for Materials Science (JP)
- Corresponding author
- Togo, Atsushi
- ORCID
- Togo, Atsushi
- Venue
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Published
- 2023-01-15
- Volume
- 92
- Issue
- 1
- Pages
- 12001-12021
- ISSN
- 0031-9015 (ISSN-L)
- 1347-4073
- OpenAlex
- W4310714033
- Cited by
- 1,865
- References
- 104
- Citations by year
- 2026: 615 · 2025: 672 · 2024: 449 · 2023: 129
- FWCI
- 127.44
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- cc-by
- Locations
- Journal of the Physical Society of Japan (publishedVersion, cc-by)
- Institutional Repositories DataBase (IRDB) (submittedVersion, cc-by)
- NIMS Materials Data Repository (submittedVersion, cc-by)
- Funders
- Japan Society for the Promotion of Science (JP21K04632)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Materials Science › Materials Chemistry › Thermal Expansion and Ionic Conductivity
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Keywords
- phonopy, anharmonic phonons, phonon properties, lattice dynamics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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