Quantitative calculations of the non-radiative rate of phosphorescent Ir(III) complexes

It has recently been proposed that the dominant non-radiative decay mechanism in blue Ir(iii) phosphors at room temperature is due to the low-lying non-radiative metal-centred triplet states. These are populated thermally via an activated transition from the highly radiative metal-to-ligand-charge-transfer states that are initially populated due to intersystem crossing following the radiative or electronic excitation of the phosphor. We apply transition state theory to quantitatively calculate the non-radiative decay rate of a family of Ir(iii) complexes containing N-heterocyclic carbene (NHC) ligands. We compare the, computationally inexpensive, one-dimensional theory with the, more accurate, multi-dimensional theory. Both methods find a non-radiative rate with an Arrhenius form (knr = kae-ΔE/kBT). The pre-exponential factors, ka, and activation energies, ΔE, are evaluated via density functional theory (DFT). The multi-dimensional theory shows that there is an order of magnitude variation in ka within this family of materials (between 3 × 1011 s-1 and 3 × 1012 s-1). This is not captured by the one-dimensional theory, which predicts very uniform rate constants in the middle of this range (∼1012 s-1). Nevertheless, the activated process involved, and the linear relationship between ka and knr, mean that ka plays a subtle role in determining knr. Consistent with this we find that both methods capture the trend observed experimentally in the non-radiative rates. Furthermore, the magnitude of the calculated knr is similar in both methods and in good agreement with experimental values [except for one complex with a very shallow activation barrier (<0.1 eV)]. It has previously been demonstrated that radiative decay rates can be accurately calculated from DFT. Combined with our results for the non-radiative rates, this implies that DFT methods can accurately predict the emission efficiency in Ir(iii) phosphors. Therefore, DFT calculations are both fast and accurate enough to play a significant role in the design of new deep blue Ir(iii) phosphors with high emission efficiency. Even the one-dimensional theory provides reasonable agreement with experiment. This suggests that a funneling approach - where only the best performing molecules, according to the one-dimensional theory, are studied in the more laborious multi-dimensional framework - could be a powerful strategy for designing active materials for phosphorescent organic light-emitting diodes (PHOLEDs) from first principles.

Conservation laws, radiative decay rates, and excited state localization in organometallic complexes with strong spin-orbit coupling

There is longstanding fundamental interest in 6-fold coordinated d(6) (t(2g)(6)) transition metal complexes such as [Ru(bpy)3](2+) and Ir(ppy)3, particularly their phosphorescence. This interest has increased with the growing realisation that many of these complexes have potential uses in applications including photovoltaics, imaging, sensing, and light-emitting diodes. In order to design new complexes with properties tailored for specific applications a detailed understanding of the low-energy excited states, particularly the lowest energy triplet state, T1, is required. Here we describe a model of pseudo-octahedral complexes based on a pseudo-angular momentum representation and show that the predictions of this model are in excellent agreement with experiment - even when the deviations from octahedral symmetry are large. This model gives a natural explanation of zero-field splitting of T1 and of the relative radiative rates of the three sublevels in terms of the conservation of time-reversal parity and total angular momentum modulo two. We show that the broad parameter regime consistent with the experimental data implies significant localization of the excited state.

Brightly blue and green emitting Cu(I) dimers for singlet harvesting in OLEDs

With the chelating aminophosphane ligands Ph2P-(o-C6H4)-N(CH3)2 (PNMe2) and Ph2P-(o-C6H4)-NC4H8 (PNpy), the four halide (Cl, Br, I)-bridged copper coordination compounds [Cu(μ-Cl)(PNMe2)]2 (1), [Cu(μ-Br)(PNMe2)]2 (2), [Cu(μ-I)(PNMe2)]2 (3), and [Cu(μ-I)(PNpy)]2 (4) were synthesized and structurally characterized. Their photophysical properties were studied in detail. The complexes exhibit strong blue (λmax = 464 (3) and 465 nm (4)) and green (λmax = 506 (1) and 490 nm (2)) luminescence as powders with quantum yields of up to 65% at decay times as short as 4.1 μs. An investigation of the emission decay behavior between 1.3 and 300 K gives insight into the nature of the emitting states. At temperatures below T ≈ 60 K, the decay times of the studied compounds are several hundred microseconds long, which indicates that the emission originates from a triplet state (T1 state). DFT calculations show that this state is of (metal+halide)-to-ligand charge transfer (3)(M+X)LCT character. Investigations at 1.3 K allow us to gain insight into the three triplet substates, in particular, to determine the individual substate decay times being as long as a few milliseconds. The zero-field splittings are smaller than 1 or 2 cm(-1). With an analysis of these data, conclusions about the effectiveness of spin-orbit coupling (SOC) can be drawn. Interestingly, the large differences of SOC constants of the halides are not obviously displayed in the triplet state properties. With a temperature increase from T ≈ 60 to 300 K, a significant decrease of the emission decay time by almost 2 orders of magnitude is observed, and at ambient temperature, the decay times amount only to ∼4-7 μs without a significant reduction of the emission quantum yields. This drastic decrease of the (radiative) decay time is a result of the thermal population of a short-lived singlet state (S1 state) that lies energetically only a few hundred wavenumbers (460-630 cm(-1)) higher than the T1 state. Such an emission mechanism corresponds to a thermally activated delayed fluorescence (TADF). At ambient temperature, almost only a delayed fluorescence (∼98%) is observed. Compounds showing this mechanism are highly attractive for applications in OLEDs or LEECs as, in principle, it is possible to harvest all singlet and triplet excitons for the generation of light in the lowest excited singlet state. This effect represents the singlet harvesting mechanism.

Sensitivity of the photophysical properties of organometallic complexes to small chemical changes

We investigate an effective model Hamiltonian for organometallic complexes that are widely used in optoelectronic devices. The two most important parameters in the model are J, the effective exchange interaction between the π and π* orbitals of the ligands, and ε*, the renormalized energy gap between the highest occupied orbitals on the metal and on the ligand. We find that the degree of metal-to-ligand charge transfer character of the lowest triplet state is strongly dependent on the ratio ε*/J. ε* is purely a property of the complex and can be changed significantly by even small variations in the complex's chemistry, such as replacing substituents on the ligands. We find that small changes in ε*/J can cause large changes in the properties of the complex, including the lifetime of the triplet state and the probability of injected charges (electrons and holes) forming triplet excitations. These results give some insight into the observed large changes in the photophysical properties of organometallic complexes caused by small changes in the ligands.