Dissertations / Theses on the topic 'Time-dependent density functional theory'
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Yam, Chi-yung, and 任志勇. "Linear-scaling time-dependent density functional theory." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2003. http://hub.hku.hk/bib/B31246199.
Full textCazorla, Julien J. A. "Real time techniques in time-dependent density functional theory." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.615790.
Full textIoannou, Andrew George. "Applications of time-dependent current density functional theory." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.624734.
Full textVan, Caillie Carole. "Electronic structure calculations using time-dependent density functional theory." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621205.
Full textEsplugas, Ricardo Oliveira. "Density functional theory and time-dependent density functional theory studies of copper and silver cation complexes." Thesis, University of Sussex, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.496931.
Full textLacombe, Lionel. "On dynamics beyond time-dependent mean-field theories." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30185/document.
Full textThis thesis presents various quantal approaches for the exploration of dynamical processes in multielectronic systems, especially after an intense excitation which can possibly lead to dissipative effects. Mean field theories constitute useful tools in that respect. Despite the existence of numerous works during the past two decades, they have strong difficulties to capture full 2-body correlations. Thermalization is one of these effects that stems from electron-electron collisions. After an introductory chapter, we present in Chapter 2 the formalism of the various schemes studied in this thesis toward the description of such an effect by including collisional terms on top of a mean field theory. These schemes are called Stochastic Time-Dependent Hartree Fock (STDHF), Extended TDHF (ETDHF) and Collisional TDHF (CTDHF). The latter scheme constitutes in some sense the main achievement of this thesis. The numerical realizations of each scheme are also discussed in detail. In Chapters 3, 4 and 5, we apply the approaches discussed in Chapter 2 but in various systems. In Chapter 3, we first explore a rare reaction channel, that is the probability of an electron to attach on small water clusters. Good agreement with experimental data is achieved. In Chapter 4, a model widely used in nuclear physics is exactly solved and quantitatively compared to STDHF. The time evolution of 1-body observables agrees well in both schemes, especially what concerns thermal behavior. However, to allow a good description of the dynamics, one is bound to use a large statistics, which can constitute a hindrance of the use of STDHF in larger systems. To overcome this problem, in Chapter 5, we go for a testing of CTDHF developed in Chapter 2 in a one-dimensional system (and without electronic emission). This system consists in electrons in a jellium potential with a simplified self-consistent interaction expressed as a functional of the density. The advantage of this 1D model is that STDHF calculations are numerically manageable and therefore allows a direct comparison with CTDHF calculations. In this proof of concept study, CTDHF compares remarkably well with STDHF. This thus paves the road toward an efficient description of dissipation in realistic 3D systems by CTDHF
Jensen, Daniel S. "Real-Space Approach to Time Dependent Current Density Functional Theory." BYU ScholarsArchive, 2010. https://scholarsarchive.byu.edu/etd/2559.
Full textTempel, David Gabriel. "Time-Dependent Density Functional Theory for Open Quantum Systems and Quantum Computation." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10208.
Full textPhysics
Zhang, Xing. "Spin-flip time-dependent density functional theory and its applications to photodynamics." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1469628877.
Full textTafur, Sergio. "NONLINEAR OPTICAL PROPERTIES OF ORGANIC CHROMOPHORES CALCULATED WITHIN TIME DEPENDENT DENSITY FUNCTIONAL THEORY." Master's thesis, University of Central Florida, 2007. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4079.
Full textM.S.
Department of Physics
Sciences
Physics MS
Rocca, Dario. "Time-Dependent Density Functional Perturbation Theory: new algorithms with applications to molecular spectra." Doctoral thesis, SISSA, 2007. http://hdl.handle.net/20.500.11767/3936.
Full textCraig, Colleen F. "Nonadiabatic molecular dynamics in time-dependent density functional theory with applications to nanoscale materials /." Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/8671.
Full textDrummond, Michael L. "Denisty functional theory investigations of the ground- and excited-state chemistry of dinuclear organometallic carbonyls." The Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=osu1104284754.
Full textDinh, Phuong Mai. "Time-dependent density functional theory applied to clusters and molecules in contact with an environment." Habilitation à diriger des recherches, Université Paul Sabatier - Toulouse III, 2009. http://tel.archives-ouvertes.fr/tel-00981941.
Full textNiesert, Manfred [Verfasser]. "Ab initio calculations of spin-wave excitation spectra from time-dependent density-functional theory / Manfred Niesert." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2012. http://d-nb.info/102156754X/34.
Full textHofmann, Fabian [Verfasser], and Stephan [Akademischer Betreuer] Kümmel. "The Sternheimer Approach to Linear Response Time-Dependent Density Functional Theory / Fabian Hofmann ; Betreuer: Stephan Kümmel." Bayreuth : Universität Bayreuth, 2020. http://d-nb.info/1223982041/34.
Full textHofmann-Mees, Dirk [Verfasser], and Stephan [Akademischer Betreuer] Kümmel. "Charge and excitation-energy transfer in time-dependent density functional theory / Dirk Hofmann-Mees. Betreuer: Stephan Kümmel." Bayreuth : Universität Bayreuth, 2013. http://d-nb.info/1059353652/34.
Full textZhu, Ying. "A Comparison of Calculation by Real-Time and by Linear-Response Time-Dependent Density Functional Theory in the Regime of Linear Optical Response." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1460554444.
Full textRichard, Ryan M. "Time-Dependent Density-Functional Description of the 1La State in Polycyclic Aromatic Hydrocarbons." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1302098974.
Full textBhandari, Srijana. "AN ELECTRONIC STRUCTURE APPROACH TO UNDERSTAND CHARGE TRANSFERAND TRANSPORT IN ORGANIC SEMICONDUCTING MATERIALS." Kent State University / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=kent1606836665551399.
Full textRobinson, Mark. "Accessing large length and time scales with density functional theory." Thesis, University of Cambridge, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609128.
Full textMaier, Toni Mike [Verfasser], Martin [Akademischer Betreuer] Kaupp, Martin [Gutachter] Kaupp, and Thomas [Gutachter] Körzdörfer. "Development of local hybrid functionals for time-dependent density functional theory / Toni Mike Maier ; Gutachter: Martin Kaupp, Thomas Körzdörfer ; Betreuer: Martin Kaupp." Berlin : Technische Universität Berlin, 2016. http://d-nb.info/1156011787/34.
Full textRüger, Robert, Lenthe Erik van, Thomas Heine, and Lucas Visscher. "Tight-binding approximations to time-dependent density functional theory: A fast approach for the calculation of electronically excited states." AIP Publishing, 2016. https://ul.qucosa.de/id/qucosa%3A21501.
Full textJokar, Jeiran Verfasser], Nicole [Akademischer Betreuer] Helbig, and Carsten [Akademischer Betreuer] [Honerkamp. "Adiabatic approximations within time-dependent density functional theory for the non-linear regime / Jeiran Jokar ; Nicole Helbig, Carsten Honerkamp." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1161411771/34.
Full textJokar, Jeiran [Verfasser], Nicole Akademischer Betreuer] Helbig, and Carsten [Akademischer Betreuer] [Honerkamp. "Adiabatic approximations within time-dependent density functional theory for the non-linear regime / Jeiran Jokar ; Nicole Helbig, Carsten Honerkamp." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1161411771/34.
Full textBetzinger, Markus [Verfasser]. "Orbital-dependent exchange-correlation functionals in density-functional theory realized by the FLAPW method / Markus Betzinger." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2012. http://d-nb.info/1022854364/34.
Full textWang, Yuekui [Verfasser]. "Application of the Time-Dependent Density Functional Theory to the Study of Chiroptical Properties of Organic and Inorganic Compounds / Yuekui Wang." Aachen : Shaker, 2003. http://d-nb.info/1170543413/34.
Full textFalklöf, Olle, and Bo Durbeej. "Modeling of phytochrome absorption spectra." Linköpings universitet, Beräkningsfysik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-92393.
Full textWeerawardene, K. L. Dimuthu M. "Optical and luminescence properties of noble metal nanoparticles." Diss., Kansas State University, 2017. http://hdl.handle.net/2097/38189.
Full textDepartment of Chemistry
Christine M. Aikens
The remarkable optical and luminescence properties of noble metal nanoparticles (with diameters < 2 nm) attract researchers due to potential applications in biomedicine, photocatalysis, and optoelectronics. Extensive experimental investigations on luminescence properties of thiolate-protected gold and silver nanoclusters during the past decade have failed to unravel their exact photoluminescence mechanism. Herein, density functional and time-dependent density functional theory (DFT and TDDFT) calculations are performed to elucidate electronic-level details of several such systems upon photoexcitation. Multiple excited states are found to be involved in photoemission from Au₂₅(SR)₁₈– nanoclusters, and their energies agree well with experimental emission energies. The Au₁₃ core-based excitations arising due to electrons excited from superatom P orbitals into the lowest two superatom D orbitals are responsible for all of these states. The large Stokes shift is attributed to significant geometrical and electronic structure changes in the excited state. The origin of photoluminescence of Ag₂₅(SR)₁₈– nanoclusters is analogous to their gold counterparts and heteroatom doping of each cluster with silver and gold correspondingly does not affect their luminescence mechanism. Other systems have been examined in this work to determine how widespread these observations are. We observe a very small Stokes shift for Au₃₈(SH)₂₄ that correlates with a relatively rigid structure with small bond length changes in its Au₂₃ core and a large Stokes shift for Au₂₂(SH)₁₈ with a large degree of structural flexibility in its Au₇ core. This suggests a relationship between the Stokes shift of gold−thiolate nanoparticles and their structural flexibility upon photoexcitation. The effect of ligands on the geometric structure and optical properties of the Au₂₀(SR)₁₆ nanocluster is explored. Comparison of the relative stability and optical absorption spectra suggests that this system prefers the [Au₇(Au₈SR₈)(Au₃SR₄)(AuSR₂)₂] structure regardless of whether aliphatic or aromatic ligands are employed. The real-time (RT) TDDFT method is rapidly gaining prominence as an alternative approach to capture optical properties of molecular systems. A systematic benchmark study is performed to demonstrate the consistency of linear-response (LR) and RT-TDDFT methods for calculating the optical absorption spectra of a variety of bare gold and silver nanoparticles with different sizes and shapes.
Natarajan, Bhaarathi. "Implémentation et applications d'algorithmes fondés sur la théorie de la fonctionnelle de la densité dépendante du temps dans les logiciels à la base des fonctions gaussiennes et ondelettes." Phd thesis, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00682011.
Full textCoppola, Carmen. "Design of novel organic compounds for the development of solar energy conversion devices." Doctoral thesis, Università di Siena, 2022. http://hdl.handle.net/11365/1202089.
Full textCaserta, Mario. "Dinamica degli stati eccitati della formaldeide tramite teoria del funzionale-densità dipendente dal tempo in tempo reale." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/19529/.
Full textUrban, Alexander [Verfasser], and Bernd [Akademischer Betreuer] Meyer. "Environment-dependent crystal-field tight-binding based on density-functional theory / Alexander Urban. Betreuer: Bernd Meyer." Erlangen : Universitätsbibliothek der Universität Erlangen-Nürnberg, 2013. http://d-nb.info/1036774902/34.
Full textMancini, Lorenzo. "Adiabatic and local approximations for the kohn-sham potential in the hubbard model." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/5935/.
Full textChuang, Yung-ping, and 莊蓉萍. "Time-resolved resonance raman and density functional theory studies ofthe photochemistry of (S)-ketoprofen." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B40988156.
Full textWerner, Ute. "Simulation of nonadiabatic dynamics and time-resolved photoelectron spectra in the frame of time-tependent density functional theory." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2011. http://dx.doi.org/10.18452/16351.
Full textThe goal of this thesis was the development of a generally applicable theoretical framework for the simulation of ultrafast processes and experimental observables in complex molecular systems. For this purpose, a combination of the time-dependent density functional theory (TDDFT) for the description of the electronic structure with the Tully''s surface hopping procedure for the treatment of nonadiabatic nuclear dynamics based on classical trajectories was employed. In particular, a new approach for the calculation of nonadiabatic couplings within TDDFT was devised. The method was advanced for the description of more complex systems such as chromophores in a solvation shell by employing the tight binding approximation to TDDFT. Since the time-resolved photoelectron spectroscopy (TRPES) represents a powerful experimental technique for real-time observation of ultrafast processes, a TDDFT based approach for the simulation of TRPES was developed. The basic idea is the approximate representation of the combined system of cation and photoelectron by excited states of the neutral species above the ionization threshold. In order to calculate these states with TDDFT, a formulation of the transition dipole moments between excited states within TDDFT was devised. Moreover, simulations employing the Stieltjes imaging (SI) procedure were carried out providing the possibility to reconstruct photoelectron spectra from spectral moments. In this work, the spectral moments were calculated from discrete TDDFT states. The scope of the developed theoretical methods was illustrated on the photoisomerization in benzylideneaniline as well as on the ultrafast photodynamics in furan, pyrazine, and microsolvated adenine. The examples demonstrate that the nonadiabatic dynamics simulations based on TDDFT and TDDFTB are particularly suitable for the investigation and interpretation of ultrafast photoinduced processes in complex molecules.
Karimova, Natalia Vladimirovna. "Theoretical study of the optical properties of the noble metal nanoparticles: CD and MCD spectroscopy." Diss., Kansas State University, 2017. http://hdl.handle.net/2097/38177.
Full textDepartment of Chemistry
Christine M. Aikens
Gold and silver particles with dimensions less than a nanometer possess unique characteristics and properties that are different from the properties of the bulk. They demonstrate a non–zero HOMO–LUMO gap that can reach up to 3.0 eV. These differences arise from size quantization effects in the metal core due to the small number of atoms. These nanoparticles have attracted great interest for decades both in fundamental and applied research. Small gold clusters protected by various types of ligands are of interest because ligands allow obtaining gold nanoclusters with given sizes, shapes and properties. Three main families of organic ligands are usually used for stabilization of gold nanoclusters: phosphine ligands, thiolate ligands and DNA. Usually, optical properties of these NPs are studied using optical absorption spectroscopy. Unfortunately, sometimes this type of spectrum is poorly resolved and tends to appear very similar for different complexes. In these cases, circular dichroism (CD) and magnetic circular dichroism (MCD) spectroscopy can be applied. However, the interpretation of experimental CD and MCD spectra is a complicated process. In this thesis, theoretically simulated CD and MCD spectra were combined with optical absorption spectra to study optical activity for octa– and nona– and undecanuclear gold clusters protected by mono– and bidentate phosphine ligands. Additionally, optical properties of bare and DNA protected silver NPs were studied. Theoretical CD spectra were examined to learn more about the origin of chirality in chiral organometallic complexes, and to contribute to the understanding of the difference in chiroptical activity of gold clusters stabilized by different phosphine ligands and DNA–stabilized silver clusters. Furthermore, optical properties of the small centered gold clusters Au₈(PPh₃)₈²⁺ and Au₉(PPh₃)₈³⁺ were examined by optical absorption and MCD spectra using TDDFT. Theoretical MCD spectra were also used to identify the plasmonic behavior of silver nanoparticles. These results showed that CD and MCD spectroscopy yield more detailed information about optical properties and electronic structure of the different chemical systems than optical absorption spectroscopy alone. Theoretical simulation of the CD and MCD spectra together with optical absorption spectra can be used to assist in the understanding of empirically measured CD and MCD and provide useful information about optical properties and electronic structure.
Caramella, Lucia. "Theoretical spectroscopy of realistic condensed matter systems." Paris 6, 2009. http://www.theses.fr/2009PA066019.
Full textChuang, Yung-ping. "Time-resolved resonance raman and density functional theory studies of the photochemistry of (S)-ketoprofen." Click to view the E-thesis via HKUTO, 2008. http://sunzi.lib.hku.hk/hkuto/record/B40988156.
Full textZhu, Peizhi, and 朱沛志. "Time-resolved resonance Raman and density functional theory studies ofselected para-phenyl substituted arylnitrenium ions and arylnitrenes." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2003. http://hub.hku.hk/bib/B31246370.
Full textBergstedt, Mikael. "Theoretical investigation of the first-order hyperpolarizability in the two-photon resonant region." Thesis, Linköping University, The Department of Physics, Chemistry and Biology, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-10290.
Full textTime-dependent density functional theory calculations have been carried out to determine the complex first-order hyperpolarizability in the two-photon resonance region of the molecule IDS-Cab. Calculations show that three strongly absorbing states, in the ultraviolet region, are separated to the extent that no significant interference of the imaginary parts of the tensor elements of the first-order hyper-polarizability occurs. Consequently, and in contrast to experimental findings [27], no reduced imaginary parts of the first-order hyperpolarizability in the two-photon resonant region can be seen.
Guidez, Emilie Brigitte. "Quantum mechanical origin of the plasmonic properties of noble metal nanoparticles." Diss., Kansas State University, 2014. http://hdl.handle.net/2097/17314.
Full textDepartment of Chemistry
Christine M. Aikens
Small silver and gold clusters (less than 2 nm) display a discrete absorption spectrum characteristic of molecular systems whereas larger particles display a strong, broad absorption band in the visible. The latter feature is due to the surface plasmon resonance, which is commonly explained by the collective dipolar motion of free electrons across the particle, creating charged surface states. The evolution between molecular properties and plasmon is investigated. Time-dependent density functional theory (TDDFT) calculations are performed to study the absorption spectrum of cluster-size silver and gold nanorods. The absorption spectrum of these silver nanorods exhibits high-intensity longitudinal and transverse modes (along the long and short axis of the nanorod respectively), similar to the plasmons observed experimentally for larger nanoparticles. These plasmon modes result from a constructive addition of the dipole moments of nearly degenerate single-particle excitations. The number of single-particle transitions involved increases with increasing system size, due to the growing density of states available. Gold nanorods exhibit a broader absorption spectrum than their silver counterpart due to enhanced relativistic effects, affecting the onset of the longitudinal plasmon mode. The high-energy, high-intensity beta-peak of acenes also results from a constructive addition of single-particle transitions and I show that it can be assigned to a plasmon. I also show that the plasmon modes of both acenes and metallic nanoparticles can be described with a simple configuration interaction (CI) interpretation. The evolution between molecular absorption spectrum and plasmon is also investigated by computing the density of states of spherical thiolate-protected gold clusters using a charge-perturbed particle-in-a-sphere model. The electronic structure obtained with this model gives good qualitative agreement with DFT calculations at a fraction of the cost. The progressive increase of the density of states with particle size observed is in accordance with the appearance of a plasmon peak. The optical properties of nanoparticles can be tuned by varying their composition. Therefore, the optical behavior of the bimetallic Au[subscript](25-n)Ag[subscript]n(SH)[subscript]18[superscript]- cluster for different values of n using TDDFT is analyzed. A large blue shift of the HOMO-LUMO absorption peak is observed with increasing silver content, in accordance with experimental results.
Sheffield, Carolyn Evans. "Time-Resolved Infrared Spectroscopy and Density Functional Theory Study of Weak Interactions of Metal Carbonyls and Organic Solvents." Diss., CLICK HERE for online access, 2010. http://contentdm.lib.byu.edu/ETD/image/etd3389.pdf.
Full textSchelter, Ingo [Verfasser], and Stephan [Akademischer Betreuer] Kümmel. "Excitation dynamics in molecular systems from efficient grid-based real-time density functional theory / Ingo Schelter ; Betreuer: Stephan Kümmel." Bayreuth : Universität Bayreuth, 2017. http://d-nb.info/1131164342/34.
Full textLi, Yunliang, and 李運良. "Time-resolved resonance Raman and density functional theory investigations of selected isopolyhalomethanes, haloalkyl radicals andpolyhalomethane/halogen atom molecular complexes and their reactions." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B31245717.
Full text李昌運 and Cheong-wan Lee. "Time-resolved resonance Raman and density functional theory investigation of the T1 triplet states and radical cations ofsubstituted biphenyl compounds." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31224623.
Full textXue, Jiadan, and 薛佳丹. "Time-resolved resonance raman and density functional theory studies ofselected arylnitrenium ions and their reactions with guanosinederivatives and aryl azides." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B41290914.
Full textGe, Xiaochuan. "Seeing colors with TDDFT: theoretical modeling of the optical properties of natural dyes." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4816.
Full textLee, Cheong-wan. "Time-resolved resonance Raman and density functional theory investigation of the T1 triplet states and radical cations of substituted biphenyl compounds." Hong Kong : University of Hong Kong, 2001. http://sunzi.lib.hku.hk/hkuto/record.jsp?B22956311.
Full textOksuz, Nevin. "Quantum-chemical Study Of Geometrical And Electronic Structures Of Aromatic Five-membered Heterocyclic Oligomers In The Ground And Lowest Singlet Excited States." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605397/index.pdf.
Full textoligothiophenes (nT), oligofurans (nF), and oligopyrroles (nP)- containing up to six monomer units (total of 18 molecules) were explored using several computational methodologies. Geometry optimizations were carried out at Austin Model 1 (AM1), Restricted Hartree-Fock (RHF/6-31G*), and Density Functional Theory (DFT, B3LYP/6-31G*) levels for the ground-state conformations of these structurally well-defined heterocyclic oligomers. The Configuration Interaction Singles (CIS) method with the 6-31G* basis set was chosen in computation of the optimal geometry of the lowest singlet excited state. Lowest singlet excitation S1ß
S0 energies were calculated using the Zerner&rsquo
s Intermediate Neglect of Differential Overlap for Spectroscopy (ZINDO/S), CIS (CIS/6-31G*), and Time-Dependent DFT (TDDFT/6-31G* and TDDFT/6-31+G*) methods. In computation of the emission S1à
S0 energies, we have employed all methods above except ZINDO/S. In investigation of geometries of the ground and lowest singlet excited state, we compared the bond length alternation (BLA) parameters, Dri in the conjugated backbone of the oligomers. Saturation of the geometrical parameters at the center of oligomers was observed after a certain chain length. Among all methodologies used in computation of excitation (S1ß
S0) and emission (S1à
S0) energies, TDDFT results showed the best agreement with experimental data. Fits of computed and experimental excitation energies to an exponential function using the least squares method enabled us to predict Effective Conjugation Length (ECL) values. We obtained the ECLs of 17 (17), 16 (15), and 14 (13) monomer units for polythiophene (PTh), polyfuran (PFu), and polypyrrole (PPr), which have very good agreement with the results obtained from the fits of experimental data (the values in parentheses).