Oleksandra
Shargaieva
*a,
Hampus
Näsström
a,
Joel A.
Smith
b,
Daniel
Többens
c,
Rahim
Munir
d and
Eva
Unger
*a
aHelmholtz-Zentrum Berlin für Materialien und Energie GmbH, Young Investigator Group ‘Hybrid Materials Formation and Scaling’, Kekulestr. 5, 12489 Berlin, Germany. E-mail: oleksandra.shargaieva@helmholtz-berlin.de; eva.unger@helmholtz-berlin.de
bUniversity of Sheffield, Department of Physics & Astronomy, Sheffield S3 7RH, UK
cHelmholtz-Zentrum Berlin für Materialien und Energie GmbH, Department of Structure and Dynamics of Energy Materials, Albert-Einstein-Str. 15, 12489 Berlin, Germany
dUniversity of Calgary, Chemistry Department, 2500 University Dr NW, AB T2N 4V8, Calgary, Canada
First published on 2nd November 2020
In this work, we rationalize the chemical pathways and kinetics of the crystallization of methylammonium lead iodide hybrid perovskite. Our approach includes a combination of analysis of solvent coordination, the structure of intermediate solvate phases, and modeling evaporation rates of precursor solutions. The evolution of solution species via intermediate solvate phases and into perovskite thin films during drying was monitored by in situ grazing-incidence wide-angle X-ray scattering (GIWAXS). All studied precursor solutions exhibited the formation of intermediate solvate phases including a previously unreported GBL phase. In single-solvent solutions, crystallization kinetics are determined by the solvent evaporation rate and saturation concentration required for nucleation. In binary solvent mixtures, the evaporation rate of solutions is dominated by the most volatile solvent which leads to unequal evaporation of the components of the mixture. The structure of the intermediate phases in such systems strongly depends on the coordination strength and the availability of solvents upon nucleation. The combined approach described in this work allows predicting the kinetics and the chemical pathways of crystallization of hybrid perovskites in complex solvent mixtures. This insight is of great importance for future perovskite ink design.
Spin-coated perovskite devices with the highest PCEs often employ precursor solutions with a complex solvent combination and various quenching approaches to induce crystallization that have been developed empirically.1,10,11 Adaptation of these approaches to large-scale deposition techniques typically does not yield the desired result; as, for instance, quenching becomes technologically difficult at large scale.12,13 Therefore, rationalized usage of solvent blends is required to control material crystallization to obtain homogeneous high-quality materials. Ink engineering for conventional solution deposition techniques often includes multiple solvents and additives that modify chemical and physical properties of the ink, such as solubility, solvent–solute interaction, rheology, and drying kinetics of the ink (Scheme 1). Hybrid perovskite precursor materials show adequate solubility in polar aprotic solvents with rheological parameters appropriate for most deposition methods.14,15 Therefore, understanding and controlling solvent–solute interaction and drying kinetics is critical for controlled material formation in all solution-processing techniques.
The interaction between solvent and hybrid perovskite precursors significantly affects all processes occurring during perovskite formation (Scheme 1). In the first stage, solvent–solute interactions allow for the dissolution of the precursor materials.16 In the next stage, interactions of the dissociated ions with solvent leads to the formation of polyhalido plumbate complexes in solution.17 These complexes then act as building blocks for the formation of crystalline intermediate solvate phases that form during drying of the precursor solution or as a result of quenching.18 During the final stage, a crystalline intermediate phase transforms into a crystalline perovskite phase upon further solvent removal. Control over the kinetics of solvent removal and structure of the intermediate phases allows for better control over the process in general and the material quality in particular.19,20 Numerous reports have shown optimization of individual parameters such as crystallization via certain intermediate phases or change of processing parameters by using volatile solvents or vacuum.19,21–23 However, the complex role of solvents and co-solvents in hybrid perovskite precursor inks on intermediate phase structure and film formation kinetics is not yet well understood.
In this work, we establish a complex overview of the processes taking place during the crystallization of perovskite precursor solution. In particular, we link chemical interactions between the solvent and solute with the physical properties of solvents that define the crystallization process of hybrid perovskites. We demonstrate how an understanding of the interplay between coordination strength of a solvent and evaporation rates of precursor solutions enables prediction of the predominant hybrid perovskites intermediate solvate phases and the kinetics of their formation from mixed solvents.
The formation of initial amorphous solvate phases (sol–gel phase) can be observed as an increase of the intensity in the range of 5° to 8° 2θ during the early stages of the experiments.25 The initial solvate phase peak shifts over time to larger 2θ values, indicating a reorganization process, specifically a reduction of the characteristic distance between solute scattering centers as the solvent evaporates. As a result of this reorganization, the film approaches supersaturation and crystalline intermediate phases can be formed. Solutions of MAPbI3 in DMF (a) and GBL (b) form a crystalline intermediate phase at room temperature after 3 min 45 s and 5 min 45 s, respectively (Fig. 2). The diffraction peaks observed for the intermediate phase formed from DMF corresponds well to the crystal structure previously interpreted as (DMF)2(MA)2Pb3I8.26 The crystalline intermediate phase formed from GBL exhibits comparable diffraction peak positions as the (DMF)2(MA)2Pb3I8 phase. This observation is unexpected as the formation of a crystalline intermediate phase formed from GBL has been frequently suggested but has not yet been identified.27,28 The common failure to observe the diffraction pattern of the GBL–MAPbI3 intermediate phase during crystallization can likely be attributed to the presence of water (Fig. S1, ESI†). Nevertheless, comparing the molecular sizes of DMF and GBL, we find that their molecular dimensions are similar, with the longest dimension of the GBL molecule being only 0.07 Å larger than DMF. The coordination interaction with the lead-halide lattice is also expected to be comparable via the carbonyl group and lone-pairs on the adjacent oxygen or nitrogen. Similar dimensions and bonding interactions suggest that DMF and GBL are incorporated in similar lattice positions, creating crystalline solvate phases with negligible difference in lattice dimensions. The similarity of crystallization kinetics between DMF and GBL also indicates the similarity of their physical properties related to crystallization, e.g. vapor pressure, Pv (see Table 1).
Solvent | P v of MAPbI3(solv)/Pa (28 °C) | R evap /mol m−1 s−1 (28 °C) | t cryst/min | N solv start | N solv cryst |
---|---|---|---|---|---|
DMF | 596 | 3.51 × 10−6 | 3.75 | 12.9 | 8.8 |
GBL | 402 | 2.36 × 10−6 | 5.75 | 13 | 8.9 |
NMP | 110 | 5.93 × 10−7 | 46.18* | 10.36 | 2.5 |
DMSO | 88 | 5.36 × 10−7 | 74.93* | 14.15 | 2.5 |
Films coated from solutions in DMSO and NMP only show the formation of the amorphous solvate phase at low temperatures, with the crystalline phase formed during the 100 °C annealing step (Fig. 2c and d). This observation correlates with the lower volatility of these solvents in comparison to DMF and GBL. The values of the calculated initial vapor pressure (at the beginning of the experiment) of perovskite precursor solutions are listed in Table 1.29
To observe the crystallization of perovskite solutions in DMSO and NMP before 100 °C annealing, the same in situ drying experiments were also conducted over a longer time scale, see Fig. S2 (ESI†). The onset of crystallization of MAPbI3 from both NMP and DMSO at room temperature was notably delayed to 46 min 10 s and 74 min 56 s, respectively. The intermediate phase formed in DMSO correlates well with the previously reported (DMSO)2(MA)2Pb3I8 phase.30 For NMP, the formation of a crystalline intermediate phase was indicated by a diffraction peak at 2θ = 8.2°, similarly to previously reported.27,31,32 The diffraction patterns of the intermediate phases in the extended 2θ range are shown in Fig. S3 (ESI†).
To further quantify the difference in the crystallization onsets, we have calculated the evaporation rates, REvap, for these solvent systems as a function of time using an evaporation model described in detail in the ESI.† The REvap values obtained for the MAPbI3 solutions at the beginning of the experiment are listed in Table 1. Using these evaporation rate values the change in the concentration of the solutions due to the evaporation can be estimated. Combining this with the experimentally determined crystallization onset time (tcryst), we can estimate the number of solvent molecules per lead halide unit (PbIn), Nsolv, at the moment of crystallization (see Table 1). Here we find that Nsolv at the moment of crystallization is greater for solvents with higher evaporation rates, such as DMF and GBL, whilst both NMP and DMSO undergo more solvent evaporation before crystallization, despite almost an order of magnitude lower REvap.
The vast difference in Nsolv can be related to the different evaporation rates or different interactions between solvent and precursors in a solution. First, let us consider the different evaporation behavior in the solvent systems. Typically, rapid evaporation of a solvent leads to a rapid increase of the solution concentration. In cases where the evaporation rate is higher than the diffusion of the solvent molecules through the wet film that is required for the material solvation, nucleation can occur spontaneously, even if a large amount of solvent is present in other parts of the film. However, if the evaporation rate is slower than the diffusion of the molecules in the solution, the concentration of the material can gradually reach values greater than the solubility limit at a given temperature without nucleation occurring, satisfying conditions for supersaturation. Since supersaturated solutions are metastable, the nucleation can then occur upon a perturbation of the system due to, for example, an increase of the evaporation rate (see Fig. S2, ESI†T = 40 °C).
Considering the interactions in the liquid state, solvent–solute coordination in hybrid perovskite precursor solutions leads to the formation of solution complexes that often dictate the nature of intermediate phases. Solvents with different chemical and physical properties show different affinity to perovskite precursor ions, mainly Pb2+ and I−.33 The higher affinity of the solvent to Pb and I hinders the interaction of the ions between each other, thus, promoting the formation of solution species with a larger number of coordinated solvent molecules (Pb2+Solv6, PbI+Solv5, and PbI2Solv4).34 Conversely, the lower affinity of the solvent molecule to Pb and I facilitates stronger interaction between Pb and I, which in turn leads to the formation of high-order polyiodide plumbates (PbI3−Solv3 and PbI42−Solv2). It has been suggested that high number of coordinated iodine might have a beneficial influence on the transformation of intermediate phases to perovskite and the morphology of the films.35
To obtain information about the strength of the solvent–solute interactions in solution, absorbance spectra were measured in various solvents. Fig. 3 shows the absorbance spectra of 0.1 M MAPbI3 solutions in DMSO, DMF, NMP, and GBL.
Absorption bands corresponding to the above-mentioned polyiodide plumbates are noted in the top panel. As can be seen in Fig. 3, the solution of perovskite in DMSO exhibits absorption bands at 288, 321, and 363 nm that correlate with the presence of PbI+Solv5, PbI2Solv4, and only a small amount of PbI3−Solv3. Exchanging the solvent for DMF leads to a dramatic increase in the concentration of PbI3−Solv3 in the solution and even formation of PbI42−Solv2 species. A similar effect with an even higher concentration of PbI42−Solv2 species can be seen in the NMP solution. Furthermore, the solution of MAPbI3 in GBL exhibited the highest concentration of PbI3−Solv3 and PbI42−Solv2 species of all solvents at this precursor concentration. The absorption bands ascribed to PbI3−Solv3 and PbI42−Solv2 species showed a shift in the peak position, which can possibly indicate further formation of higher-order polyiodide plumbates or iodoplumbate chains.36 The increased amount of higher-order polyiodide plumbates indicates that the strength of solvent coordinating ability to MAPbI3 increases in order from GBL to DMSO (GBL < NMP < DMF < DMSO). Interestingly, this order of solvents in relation to perovskite coordination ability correlates well with the theoretically predicted trend, calculated through a sum of Gutmann's donor and acceptor numbers.37 Importantly, the formation of coordination species in all solvents correlates well with the fact that all solvents exhibited intermediate phase formation. On the other hand, this trend does not correlate with the experimental crystallization onset (Fig. 2). This observation indicates that at the early stages of solvent evaporation, solvent–solute interactions do not show a dramatic influence on solvent evaporation kinetics. Instead, the kinetics of hybrid perovskite crystallization is predominantly regulated by the physical properties of the solvent at the early stages of film drying.
Binary mixtures of solvents consisting of DMF:DMSO, DMF:NMP, GBL:DMSO and GBL:NMP exhibited significantly different crystallization onset times compared to the pure solvent precursor solutions (Fig. 4a, b, d and e). In these mixtures, despite the presence of 50% v/v of low Pv solvents (DMSO, NMP) in the mixture, the crystallization occurred after 20 min 24 s in DMF:DMSO at 28 °C, 21 min 12 s in DMF: NMP at 28 °C, 23 min 30 s in GBL:DMSO at 40 °C and after 24 min 18 s in GBL: NMP mixture at 40 °C. These vast differences in the crystallization onset can be rationalized through the calculation of the total vapor pressure and evaporation rates of the binary mixtures. Typically, the total vapor pressure of a system can be calculated using Raoult's law, where the total pressure is a function of the composition of the liquid phase. In reality, the total vapor pressure of a mixture consisting of two components (A, B) in a vapor-liquid equilibrium depends on the difference between the properties of the components and their interaction. In the simplified case, where molecular interactions between solvent molecules are negligible, a positive deviation from ideal behavior can be observed if the ratio of the vapor pressures φ = p0B/p0A > 1 or negative deviation if φ < 1. The positive deviation from ideal linear behavior indicates that the molar fraction of component A in the vapor phase, yA, is higher than the molar fraction of A in the liquid phase xA. In other words, the vapor phase evaporating from such a mixture is enriched with the A component that has a higher vapor pressure, p0A, at given conditions, whilst the liquid phase is enriched with the less volatile B component. This change in the composition of the vapor and liquid phases dramatically influences the total vapor pressure of the system, which in turn influences the evaporation of the solvent mixtures.
In the case of mixtures of DMF with DMSO and NMP φ > 1, since p0DMF > p0DMSO and p0NMF (Table 1), thus, the vapor phase of both mixtures is dominated by DMF even when 50% v/v of solvents is used. This leads to an increase of the initial REvap values of DMF:DMSO and DMF: NMP to 1.96 × 10−6 and 2.20 × 10−6 mol m−1 s−1, respectively, close to REvap for pure DMF (Table S1, ESI†). Similarly, mixtures of GBL with both NMP and DMSO showed REvap values of about 1.5 × 10−6 mol m−1 s−1. Complete values for all mixtures are listed in Table S1 (ESI†). From this, we conclude that high evaporation rates at the beginning of the experiment lead to a more rapid saturation of the solution and accelerated crystallization onset in comparison with pure DMSO and NMP. On the other hand, evaporation of the more volatile solvent (e.g., DMF) with a higher rate leads to its quick depletion in the liquid phase, as shown in Fig. S5 (ESI†) for all solvent mixtures. Removal of the volatile solvent from the solution increases the probability of the solvent–solute interactions with the less volatile solvent molecules, independent of their binding strength. Therefore, the structure of the intermediate phase upon onset of crystallization can be determined by the stoichiometry of the solvents at the point of crystallization, not only the solvent coordination.
Taking into account calculated evaporation rates and the composition of vapor and liquid phases, we can calculate the amount of each solvent at different stages of the experiment. The volume of each of the components in the mixtures is shown in Fig. 4a–f. As can be seen from the graphs, the solutions consist of predominantly DMSO or NMP when either is present at the moment of crystallization. In the mixture of DMSO with DMF or GBL, the structures of the respective intermediate phases are similar to the pure DMSO intermediate ((DMSO)2(MA)2Pb3I8 phase), since coordination to DMSO is stronger than DMF and GBL, and their concentration in the solution is reduced in comparison to DMSO. In the case of the DMF and NMP mixture, the inclusion of the more strongly binding DMF in the NMP intermediate phase is limited mainly by the very low concentration of DMF in the mixture and the peak indicating its incorporation disappears with prolonged evaporation of DMF (Fig. S4, ESI†). On the other hand, when evaporation rates of components in a binary solvent mixture are similar and both solvents are available for interaction, the structure which forms will be influenced by both solvents, as in the case of the GBL and DMF mixture (Fig. 4c). Thus, our results imply that the hybrid perovskite crystallization kinetics and the intermediate structure can be manipulated through careful choice of solvents in the precursor ink by their coordination strengths and evaporation rates.
It is important to note that this model can be considered valid only for free solvent evaporation. Our observations of coordination in solution, as well as observed intermediate phases formed during crystallization, indicate that not all solvent molecules are free in the perovskite precursor solution. The observed intermediate phases that can be correlated with previously reported structures include two molecules of solvent per Pb3I8 unit (Nsolv = 0.667). Other reported structures indicate a 1:1 solvent:Pb ratio ((DMF)(MA)3PbI5, (DMF)2(MA)2Pb2I6) that translates to a molar fraction of xsolv = 0.5 or Nsolv = 1.26 Since, perovskite precursor solutions contain on average 10 times more solvent than perovskite (xsolv ≈ 0.925, Nsolv ≈ 10), any solvent that is evaporated before crystallization can be considered free solvent. Therefore, when considering liquid films before crystallization, our approach can be used for predicting kinetics of crystallization and estimating possible intermediate phases of hybrid perovskites in mixed solvent systems. Since the interaction of the perovskite precursors with solvents mainly affects the structure of the intermediate phases, this approach can be generalized for the estimation of the kinetics of the crystallization of other compositions of hybrid perovskites deposited with scalable methods such as blade-coating, slot-die coating, or inkjet printing.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/d0ma00815j |
This journal is © The Royal Society of Chemistry 2020 |