Kramers-Kronig-consistent optical functions of anisotropic crystals: Generalized spectroscopic ellipsometry on pentacene

Optics Express

Volumn 16, Issue 24, 2008, Pages 19770-19778

  Dressel, M ^a   Gompf, B ^a   Faltermeier, D ^a   Tripathi, A K ^a   Pflaum, J ^a,b   Schubert, M ^c  

^a UNIVERSITY OF STUTTGART   (Germany)

^b UNIVERSITY OF WÜRZBURG   (Germany)

^c UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CRYSTAL STRUCTURE; CRYSTAL SYMMETRY; CRYSTALLINE MATERIALS; DIELECTRIC PROPERTIES; DISPERSIONS; ELLIPSOMETRY; FUNCTION EVALUATION; SINGLE CRYSTALS; SPECTROSCOPIC ELLIPSOMETRY;

ANALYTICAL BEHAVIOR; ANISOTROPIC CRYSTALS; BAND STRUCTURE CALCULATION; COMPLEX DIELECTRIC CONSTANT; CRYSTALLOGRAPHIC DIRECTIONS; FREQUENCY INDEPENDENT; LOW SYMMETRY CRYSTALS; MACROSCOPIC MEASUREMENTS;

KRAMERS-KRONIG RELATIONS;

EID: 56749185784     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.16.019770     Document Type: Article

References (28)

1. J. S. Toll, "Causality and the dispersion, relation: logical, foundations," Phys. Rev. 104, 1760-1770 (1956).
2. D. Y. Smith, "Dispersion theory, sum rules, and their application to the analysis of optical, data," in: Handbook of optical constants of solids, Vol. 1, edited by E. D. Palik (Academic Press, Orlando, 1985), p. 35.
3. M. Born and M. Wolf, Principles of optics, 7th edition, (Cambridge University Press, Cambridge, 1999).
4. j are the diagonal, elements of the dielectric tensor for non-absorbing and non-magnetic materials. For our description we assume a symmetric dielectric response which excludes spatial, (optical activity) and temporal, (e.g. Faraday effect) non-reciprocity.
5. J. L. Ribeiro, L. G. Vieira, I. Tarroso Gomes, D. Isakov, and E. de Matos Gommes, "The infrared, dielectric tensor and axial dispersion in caesium L-malate monohydrate," J. Phys.: Cond. Mat. 19, 176225 (2007).
6. 3," J. Phys.: Cond. Mat. 8, 6199-6122 (1996).
7. M. I. Alonso, M. Garriaga, N. Karl, J. O. Osso, and F. Schreiber, "Anisotropic optical properties of single crystalline PTCDA studied by spectroscopic ellipsometry," Org. Electr. 3, 23-31 (2002).
8. D. Faltermeier, B. Gompf, M. Dressel, A. K. Tripathi, and J. Pflaum, "Optical properties of pentacene thin films and single crystals," Phys. Rev. B 74, 125416 (2006).
9. S. Tavazzi, L. Laimondo, L. Silvestri, P. Spearman, A. Composeo, M. Polo, and D. Pisignano," Dielectric tensor of tetracene single crystals: The effect of anisotropy on polarized absorption and emission spectra," J. Chem. Phys. 128, 154709 (2008).
10. C. D. Dimitrakopoulos and D.J. Mascaro, "Organic thin-film transistors: A review of recent advances," IBM J. Res. Dev. 45, 11-27 (2001).
11. G. Horowitz, "Organic thin film transistors: From theory to real devices," J. Mater. Res. 19, 1946-1962 (2004).
12. M. E. Gershenson, V. Pozorov, and A. F. Morpugo, "Colloquium: Electronic transport in single-crystal, organic transistors," Rev. Mod. Phys. 78, 973-989 (2006).
13. M. L. Tiago, J. E. Northrup, and S. G. Louie, "Ab initio calculation of the electronic and optical properties of solid pentacene," Phys. Rev. B 67, 115212 (2003).
14. K. Hummer and C. Ambrosch-Draxl, "Electronic properties of oligoacenes from first principles," Phys. Rev. B 72, 205205 (2005).
15. K. Doi, K. Yoshida, H. Nakano, A. Tachibana, T. Tanabe, Y. Kojima, and K. Okazaki, "Ab initio calculation of electron effective masses in solid pentacene," J. Appl. Phys. 98, 113709 (2005).
16. A. Troisi and G. Orlandi, "Band Structure of the four pentacene polymorphs and effect on the hole mobility at low temperature," J. Phys. Chem. B, 109, 1849-1856 (2005).
17. M. Schubert, "Another century of ellipsometry," Ann. Phys. 15, 480-497 (2006).
18. R. M. A. Azzam and R. M. A. Bashara, Ellipsometry and polarized light (North-Holland, Amsterdam, 1984).
19. 3," Opt. Lett. 27, 2073-2075 (2002).
20. M. Schubert, Infrared Ellipsometry on Semiconductor Layer Structures: Phonons, Plasmons and Polaritons (Springer, Berlin, 2004).
21. Without this additional projection T the obtained absolute ε(ω)-values are unrealistic and/or not Kramers-Kronig consistent. For the example of tetracene and pentacene, see [9] and. [8]. A comparison of the so obtained results with the present data is given is the Appendix.
22. I.-H. Suh, Y.-S. Park, and J.-G. Kim, "ORTHON: transformation from triclinic axes and atomic coordinates to orthonormal ones," J. Appl. Cryst. 33, 994 (2000).
23. 0 transition," J. Chem.. Phys. 109, 906-911 (1998).
24. A. S. Davydov, Theory of Molecular Excitons (Plenum Press, New York-London, 1971).
25. R. He, I. Dujovne, L. Chen, Q. Miao, C.F. Hirjibehedin, A. Pinczuk, C. Nuckolls, C. Kloc, and A. Ron, "Resonant Raman scattering in nanoscale pentacene films," Appl. Phys. Lett. 84, 987-989 (2004).
26. R. B. Campbell, J. Trotter, and J. M. Robertson, "The crystal and molecular structure of pentacene," Acta Cryst. 14, 705-711 (1961).
27. C. C. Mattheus, A. B. Dros, J. Baas, A. Meetsma, J. L. de Boer, and T. T. M. Palstra, "Polymorphism in pentacene," Acta Cryst. C 57, 939-941 (2001).
28. For comparison the parameters given in Ref. [26] and Ref. [27] are transformed into the parameters of the Niggli cell by using the matrices (-100/010/-10-1) and (010/100/1/20-1), respectively.