We report a combined experiment-theory study on low energy vibrational modes in fluorescence spectra of perylene-3,4,9,10-tetracarboxylic acid dianhydride (PTCDA) molecules.
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The phonon density of states of the ferroelectric (paraelectric) phase shows two (one) distinct band gaps separating the high-frequency (~800 cm−1) optical branches from the continuum of acoustic and lower optical phonon states. This result leads to specific heat capacites in close agreement with experimental measurements in the range 0–350 K and a Debye temperature of 574 K. The calculated zero-point renormalization of the electronic Kohn–Sham eigenvalues reveals a strong dependence on the phonon wave vectors, especially near Γ. Integrated over all phonon modes, our results indicate a vibrational correction of the electronic band gap of 0.41 eV at 0 K, which is in excellent agreement with the extrapolated temperature-dependent measurements.","lang":"eng"}],"user_id":"16199","external_id":{"isi":["000362549700004"],"pmid":["26337951"]},"date_created":"2019-05-29T08:41:18Z","publisher":"IOP Publishing","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1361-648X"],"issn":["0953-8984"]},"year":"2015","status":"public","file_date_updated":"2020-08-30T14:46:56Z","_id":"10030","isi":"1","date_updated":"2025-12-05T10:00:42Z","article_type":"original","author":[{"full_name":"Friedrich, Michael","first_name":"Michael","last_name":"Friedrich"},{"last_name":"Riefer","first_name":"Arthur","full_name":"Riefer, Arthur"},{"last_name":"Sanna","full_name":"Sanna, Simone","first_name":"Simone"},{"orcid":"0000-0002-2717-5076","id":"468","last_name":"Schmidt","first_name":"Wolf Gero","full_name":"Schmidt, Wolf Gero"},{"full_name":"Schindlmayr, Arno","first_name":"Arno","id":"458","last_name":"Schindlmayr","orcid":"0000-0002-4855-071X"}],"intvolume":" 27","citation":{"bibtex":"@article{Friedrich_Riefer_Sanna_Schmidt_Schindlmayr_2015, title={Phonon dispersion and zero-point renormalization of LiNbO3 from density-functional perturbation theory}, volume={27}, DOI={10.1088/0953-8984/27/38/385402}, number={38385402}, journal={Journal of Physics: Condensed Matter}, publisher={IOP Publishing}, author={Friedrich, Michael and Riefer, Arthur and Sanna, Simone and Schmidt, Wolf Gero and Schindlmayr, Arno}, year={2015} }","mla":"Friedrich, Michael, et al. “Phonon Dispersion and Zero-Point Renormalization of LiNbO3 from Density-Functional Perturbation Theory.” Journal of Physics: Condensed Matter, vol. 27, no. 38, 385402, IOP Publishing, 2015, doi:10.1088/0953-8984/27/38/385402.","short":"M. Friedrich, A. Riefer, S. Sanna, W.G. Schmidt, A. Schindlmayr, Journal of Physics: Condensed Matter 27 (2015).","ama":"Friedrich M, Riefer A, Sanna S, Schmidt WG, Schindlmayr A. Phonon dispersion and zero-point renormalization of LiNbO3 from density-functional perturbation theory. Journal of Physics: Condensed Matter. 2015;27(38). doi:10.1088/0953-8984/27/38/385402","apa":"Friedrich, M., Riefer, A., Sanna, S., Schmidt, W. G., & Schindlmayr, A. (2015). Phonon dispersion and zero-point renormalization of LiNbO3 from density-functional perturbation theory. Journal of Physics: Condensed Matter, 27(38), Article 385402. https://doi.org/10.1088/0953-8984/27/38/385402","ieee":"M. Friedrich, A. Riefer, S. Sanna, W. G. Schmidt, and A. Schindlmayr, “Phonon dispersion and zero-point renormalization of LiNbO3 from density-functional perturbation theory,” Journal of Physics: Condensed Matter, vol. 27, no. 38, Art. no. 385402, 2015, doi: 10.1088/0953-8984/27/38/385402.","chicago":"Friedrich, Michael, Arthur Riefer, Simone Sanna, Wolf Gero Schmidt, and Arno Schindlmayr. “Phonon Dispersion and Zero-Point Renormalization of LiNbO3 from Density-Functional Perturbation Theory.” Journal of Physics: Condensed Matter 27, no. 38 (2015). https://doi.org/10.1088/0953-8984/27/38/385402."},"publication_status":"published","department":[{"_id":"295"},{"_id":"296"},{"_id":"230"},{"_id":"429"},{"_id":"15"},{"_id":"35"},{"_id":"27"}]},{"publication_status":"published","user_id":"16199","citation":{"mla":"Müllegger, Stefan, et al. “Mechanism for Nuclear and Electron Spin Excitation by Radio Frequency Current.” Physical Review B, vol. 92, no. 22, 2015, doi:10.1103/physrevb.92.220418.","bibtex":"@article{Müllegger_Rauls_Gerstmann_Tebi_Serrano_Wiespointner-Baumgarthuber_Schmidt_Koch_2015, title={Mechanism for nuclear and electron spin excitation by radio frequency current}, volume={92}, DOI={10.1103/physrevb.92.220418}, number={22}, journal={Physical Review B}, author={Müllegger, Stefan and Rauls, Eva and Gerstmann, Uwe and Tebi, Stefano and Serrano, Giulia and Wiespointner-Baumgarthuber, Stefan and Schmidt, Wolf Gero and Koch, Reinhold}, year={2015} }","short":"S. 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Sanson, A. Zaltron, N. Argiolas, C. Sada, M. Bazzan, W.G. Schmidt, S. Sanna, Physical Review B 91 (2015).","bibtex":"@article{Sanson_Zaltron_Argiolas_Sada_Bazzan_Schmidt_Sanna_2015, title={Polaronic deformation at theFe2+/3+impurity site inFe:LiNbO3crystals}, volume={91}, DOI={10.1103/physrevb.91.094109}, journal={Physical Review B}, author={Sanson, A. and Zaltron, A. and Argiolas, N. and Sada, C. and Bazzan, M. and Schmidt, Wolf Gero and Sanna, S.}, year={2015} }","mla":"Sanson, A., et al. “Polaronic Deformation at TheFe2+/3+impurity Site InFe:LiNbO3crystals.” Physical Review B, vol. 91, 2015, doi:10.1103/physrevb.91.094109.","ieee":"A. Sanson et al., “Polaronic deformation at theFe2+/3+impurity site inFe:LiNbO3crystals,” Physical Review B, vol. 91, 2015, doi: 10.1103/physrevb.91.094109.","chicago":"Sanson, A., A. Zaltron, N. Argiolas, C. Sada, M. Bazzan, Wolf Gero Schmidt, and S. 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Lücke, W.G. Schmidt, E. Rauls, F. Ortmann, U. Gerstmann, The Journal of Physical Chemistry B 119 (2015) 6481–6491.","mla":"Lücke, A., et al. “Influence of Structural Defects and Oxidation onto Hole Conductivity in P3HT.” The Journal of Physical Chemistry B, vol. 119, 2015, pp. 6481–91, doi:10.1021/acs.jpcb.5b03615.","bibtex":"@article{Lücke_Schmidt_Rauls_Ortmann_Gerstmann_2015, title={Influence of Structural Defects and Oxidation onto Hole Conductivity in P3HT}, volume={119}, DOI={10.1021/acs.jpcb.5b03615}, journal={The Journal of Physical Chemistry B}, author={Lücke, A. and Schmidt, Wolf Gero and Rauls, E. and Ortmann, F. and Gerstmann, Uwe}, year={2015}, pages={6481–6491} }","chicago":"Lücke, A., Wolf Gero Schmidt, E. Rauls, F. Ortmann, and Uwe Gerstmann. “Influence of Structural Defects and Oxidation onto Hole Conductivity in P3HT.” The Journal of Physical Chemistry B 119 (2015): 6481–91. https://doi.org/10.1021/acs.jpcb.5b03615.","ieee":"A. Lücke, W. G. Schmidt, E. Rauls, F. Ortmann, and U. Gerstmann, “Influence of Structural Defects and Oxidation onto Hole Conductivity in P3HT,” The Journal of Physical Chemistry B, vol. 119, pp. 6481–6491, 2015, doi: 10.1021/acs.jpcb.5b03615.","apa":"Lücke, A., Schmidt, W. G., Rauls, E., Ortmann, F., & Gerstmann, U. (2015). Influence of Structural Defects and Oxidation onto Hole Conductivity in P3HT. The Journal of Physical Chemistry B, 119, 6481–6491. https://doi.org/10.1021/acs.jpcb.5b03615","ama":"Lücke A, Schmidt WG, Rauls E, Ortmann F, Gerstmann U. Influence of Structural Defects and Oxidation onto Hole Conductivity in P3HT. The Journal of Physical Chemistry B. 2015;119:6481-6491. doi:10.1021/acs.jpcb.5b03615"},"user_id":"16199","publication_status":"published","department":[{"_id":"15"},{"_id":"170"},{"_id":"295"},{"_id":"35"},{"_id":"790"},{"_id":"230"},{"_id":"27"}],"publication":"The Journal of Physical Chemistry B","date_created":"2019-09-30T12:55:43Z","type":"journal_article","year":"2015","publication_identifier":{"issn":["1520-6106","1520-5207"]},"language":[{"iso":"eng"}],"status":"public","page":"6481-6491","_id":"13500","volume":119,"date_updated":"2025-12-05T10:38:44Z"},{"page":"8776-8783","_id":"13503","volume":17,"date_updated":"2025-12-05T10:37:42Z","publication":"Physical Chemistry Chemical Physics","date_created":"2019-09-30T13:03:08Z","year":"2015","type":"journal_article","publication_identifier":{"issn":["1463-9076","1463-9084"]},"language":[{"iso":"eng"}],"status":"public","citation":{"ieee":"H. Aldahhak, S. Matencio, E. Barrena, C. Ocal, W. G. Schmidt, and E. Rauls, “Structure formation in diindenoperylene thin films on copper(111),” Physical Chemistry Chemical Physics, vol. 17, pp. 8776–8783, 2015, doi: 10.1039/c4cp05271d.","chicago":"Aldahhak, Hazem, S. Matencio, E. Barrena, C. Ocal, Wolf Gero Schmidt, and E. Rauls. “Structure Formation in Diindenoperylene Thin Films on Copper(111).” Physical Chemistry Chemical Physics 17 (2015): 8776–83. https://doi.org/10.1039/c4cp05271d.","short":"H. Aldahhak, S. Matencio, E. Barrena, C. Ocal, W.G. Schmidt, E. Rauls, Physical Chemistry Chemical Physics 17 (2015) 8776–8783.","apa":"Aldahhak, H., Matencio, S., Barrena, E., Ocal, C., Schmidt, W. G., & Rauls, E. (2015). Structure formation in diindenoperylene thin films on copper(111). Physical Chemistry Chemical Physics, 17, 8776–8783. https://doi.org/10.1039/c4cp05271d","bibtex":"@article{Aldahhak_Matencio_Barrena_Ocal_Schmidt_Rauls_2015, title={Structure formation in diindenoperylene thin films on copper(111)}, volume={17}, DOI={10.1039/c4cp05271d}, journal={Physical Chemistry Chemical Physics}, author={Aldahhak, Hazem and Matencio, S. and Barrena, E. and Ocal, C. and Schmidt, Wolf Gero and Rauls, E.}, year={2015}, pages={8776–8783} }","ama":"Aldahhak H, Matencio S, Barrena E, Ocal C, Schmidt WG, Rauls E. Structure formation in diindenoperylene thin films on copper(111). 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