Paper: Rational design of chromophores for singlet fission

Singlet fission is a promising approach to photovoltaics where one pair of singlet charge carriers is converted intto two pairs of triplet charge carriers. Molecules undergoing singlet fission require a specific energetic condition: the first triplet state has to be half the energy of the first singlet state. In a study, lead by Max Pinheiro from Sao Paulo, Brazil, we investigated how this energetic condition can be achieved by substituting a tetracene molecule with B and N atoms in different positions. The resulting paper A systematic analysis of excitonic properties to seek optimal singlet fission: the BN-substitution patterns intetracene, which just appearred in J. Mat. Chem. C, shows the versatility of this approach in tuning the energies across a wide range. The results are rationalised by measuring unpaired electrons and compared to a more qualitative discussion in terms of bonding patterns and Clar sextets. We hope that the study will help by setting new accents in terms of design ideas for new chromophores.

For recent study presenting an alternative strategy of tuning energies for singlet fission, exploiting anti-aromaticity, see JACS 2019, 141, 13867.

Release of TheoDORE 2.1

Version 2.1 of the TheoDORE wavefunction analysis package is available. To download the current version, please scroll down.

New features of TheoDORE 2.1:

  • Support for DFT/MRCI (see WIREs 2019, 9, e1394 for a recent review of DFT/MRCI)
  • Support for Q-Chem 5.2/5.3
  • De-excitation measure (Phe), as described in PCCP 2020, 22, 6058
  • Improvements in plot_Om_bars.py
  • Natural orbital analysis
TheoDORE – Download

Download the newest release of the TheoDORE wavefunction analysis program – TheoDORE 3.2 (22 July 2024)

Size: 12 MB
Version: 3.2

Full release notes:

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Paper: Beyond the MO picture

The molecular orbital (MO) picture has become the standard tool used by chemists to understand molecular electronic structure and particularly excited states. In our newest paper Toward an understanding of electronic excitation energies beyond the molecular orbital picture, which just appeared as a Perspective in PCCP, we asked whether we can go beyond the MO picture in a systematic way in our understanding of excited states. This endeavour ended up more involved than initially expected but we hope that it presents some interesting physics in a memorable and sufficiently intuitive way.

Below, we exemplify the tools developed to study a donor-acceptor-donor system initially developed in JACS, 2014, 136, 18070 and revisited in PCCP, 2019, 21, 10580. The HOMO of this system is on the carbazole donor whereas the LUMO is on the anthraquinone acceptor. The lowest excited state of the system (in gas phase) is not reached via the HOMO-LUMO transition but it is a locally excited state on anthraquinone. Why?

Figure 1: Analysis of post-MO contributions of the first excited singlet state of a donor-acceptor-donor molecule.

The contributions affecting the energy of the first excited singlet state are shown in Figure 1, above. In the third row the natural transition orbitals (NTOs) are shown. These give rise to the density of the excitation hole (red) and the excited electron (blue), shown above. The Coulomb attraction between these two charge distributions now stabilises the excited state. This Coulomb attraction is represented by the electrostatic potentials (ESPs) induced by the charge distributions. The important observation is that these ESPs are non-uniform with stronger contributions in the centre. Thus, the locally excited state is stabilised and an energetic penalty is paid for charge transfer. At the bottom of Figure 1, the transition density is shown, which leads to a repulsive exchange interaction destabilising local singlet states. In the present case the Coulomb attraction dominates and the lowest state is fairly local in nature.

Paper: TheoDORE electronic structure analysis

The paper TheoDORE: A toolbox for a detailed and automated analysis of electronic excited state computations just appeared in the Journal of Chemical Physics in a special issue on Electronic Structure Software. Please, take a look if you are interested in speeding up the analysis of your excited-state computations. If you are already a user of TheoDORE, you can learn about the latest developments and obtain a compact overview of the underlying theory.

Paper: Nitrogen splitting

Splitting N2 is a challenging undertaking due to the strong triple bond holding the two nitrogen atoms together. Traditionally, this task is achieved via the Haber-Bosch process but recently interest has shifted to the possibilities of nitrogen splitting via homogeneous catalysis. Computations on the dinuclear transition metal complexes involved can be performed thanks to modern computational hardware and appropriate computer codes. However, the analysis of the excited states involved can become a significant challenge due to the large number of states and difficulties in assigning their character unambiguously. To tackle this problem, we have recently devised a strategy for a detailed analysis of the electronic wavefunctions of the states contributing to the reactive process. The associated paper, led by S. Rupp and V. Krewald from TU Darmstadt, just appeared in the European Journal of Inorganic Chemistry: Multi‐tier electronic structure analysis of Sita’s Mo and W complexes capable of thermal or photochemical N2 splitting.

TheoDORE – Tutorial

An updated version of the tutorial for the TheoDORE wavefunction analysis program is ready, thanks to Patrick. The tutorial can be downloaded here:

For the newest version of the code go here:

In the tutorial, we explain the process of creating conditional electron densities for visualising electron correlation (ChemPhotoChem 2019, 3, 702). The figure below shows a comparison between the ionic and covalent singlet and triplet B3u states of naphthalene.

The tutorial also explains the creation of bar graphs for a compact representation of excited-state character (see Coord. Chem. Rev., 2018, 361, 74 and ChemRxiv.11395314). In the picture below, the excited states of an iridium complex are decomposed into metal-to-ligand charge transfer (MLCT), ligand-to-ligand charge transfer (LLCT), and ligand centred (LC) contributions. The lowest six states are all dominated by MLCT character but the presented analysis clearly shows that the first three have enhanced LC character compared to the latter three.

Two Preprints: Wavefunction analysis

Two new preprints dealing with the analysis of excited-state electronic wavefunctions are available from ChemRxiv.

First, a quick summary of the TheoDORE package: TheoDORE: a Toolbox for a Detailed and Automated Analysis of Electronic Excited State Computations.

Second, a more extensive paper exploring how far we can use information from excited-state wavefunction analysis tools to understand excitation energies beyond the molecular orbital picture. The energy of a correlated electron-hole pair is derived using diagrammatic techniques and this information is further used for a graphical depiction in terms of different charge distributions and their electrostatic potentials. Doing so turned out not as easy as hoped for but was very exciting. Find more here: Toward an Understanding of Electronic Excitation Energies Beyond the Molecular Orbital Picture by P. Kimber and F. Plasser.

Talk: Beyond the MO picture

Tomorrow, Felix will give a talk at the Zernike Institute for Advanced Materials, Groningen. The talk is entitled: Understanding electronic excitation energies within and beyond the molecular orbital picture. It discusses how we can understand excited-state energies beyond simply looking at orbitals and their energies.

You can download the talk here: