Kinetics and energetics of metal halide perovskite conversion reactions at the nanoscale

Real-time X-ray experiments and atomistic simulations have been used to detect the fingerprint of the formation and growth of halide perovskites according to the sequential deposition method, which enabled us to shed some light on the conversion reaction mechanism of MHPs.
Published in Materials
Kinetics and energetics of metal halide perovskite conversion reactions at the nanoscale
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Metal Halide perovskites (MHPs) emerged as promising materials for photovoltaics and other technological applications. MHPs have an ABX3 composition: one A+ ion type, an organic or inorganic monovalent cation – e.g., CH3NH3+, (NH2)2CH+, Cs+ - per B2+ type cation - typically Pb2+ or Sn2+ - and three X- ions - I-, Br- or Cl-. These MHPs are characterized by their structure, where BX6 corner sharing octahedra form a sort of 3D checkerboard with “white” boxes occupied by A+ ions (Figure 1). Due to the presence of heavy B2+ type cation and iodide ions, these perovskites absorb a large fraction of the solar light impinging on them which renders them favourites over silicon and dyes. However, what makes halide perovskite-based solar cells appealing is their high efficiency (converting more than 1/4 of the solar energy into electric current) despite the very simple preparation procedure involving rough and ready wet chemistry. This is due to the peculiar electronic characteristics of halide perovskites, which makes this class of material resilient/tolerant to the presence of impurities or “defects” in the crystalline structure. This, of course, does not mean that the efficiency and other properties of halide perovskite-based devices, first and foremost their operational stability, do not depend on the quality of the deposited film.

ABX3 perovskite in the conventional cubic phase (left) and in the tetragonal phase (right), the room temperature stable phase of MAPbI3, the prototypical hybrid organic-inorganic methylammonium Iodide plumbate. Both phases are made of corner-sharing BX6 octahedra, with A ions occupying the vacuum among them. In the case of the tetragonal phase, conner sharing BX6 octahedra are counter rotated around the so-called tetragonal axis, the axis exiting from the plane of the figure in our drawing. This “tilting” is possible around all X-B-X axes, giving raise to the orthorhombic phase (not shown), the low temperature stable phase ( T < 160 K) of MAPbI3.

Figure 1: ABX3 perovskite in the conventional cubic phase (left) and in the tetragonal phase (right), the room temperature stable phase of MAPbI3, the prototypical hybrid organic-inorganic methylammonium Iodide plumbate. Both phases are made of corner-sharing BX6 octahedra, with A ions occupying the vacuum among them. In the case of the tetragonal phase, conner sharing BX6 octahedra are counter rotated around the so-called tetragonal axis, the axis exiting from the plane of the figure in our drawing. This “tilting” is possible around all X-B-X axes, giving raise to the orthorhombic phase (not shown), the low temperature stable phase ( T < 160 K) of MAPbI3.

The improvement of the quality of perovskite films and the development and engineering of deposition procedures for mass production of perovskite solar cells require a detailed understanding of the thermodynamics and kinetics of the fabrication process, and how it depends on the chemical composition of the material. Investigating the deposition process is very challenging as it involves disparate length and time scales, from the atomistic scales –  10-10 m, and femtoseconds, 10-15 s – to perovskite crystallite sizes of hundreds of nanometers, 10-7-10-6 m, and to tens to thousands of seconds, 10-103 s. Typical structure elucidating techniques, e.g., X-ray diffraction (XRD), allows to detect the presence of ~10 nm crystallites in a sample, making this technique suitable to follow the conversion reaction of the PbX2 precursor into APbX3 perovskite upon dripping of the second reactant, the AX salt. In our recent article published by Communication Materials, an intense X-ray beam at beamline ID10b (ESRF) has been used to detect the fingerprint of the formation and growth of as small as 10 nm perovskite crystallites among the pre-existing species, e.g., the PbX2precursor. In our experiments, X-ray diffraction  images under grazing incidence were recorded at a frequency of 1 per second while the conversion reaction was taking place, which allowed us to closely follow the process in real time. To understand how atomic, and molecular species interact during the conversion reaction during the formation of perovskites.  we used atomistic simulations, of atoms and molecules on powerful supercomputers. We were able to follow the local evolutions of the conversion reaction from the PbX2 precursor and AX2 salt – PbI2 and PbBr2, and CH3NH3I, CH3NH3Br, (NH2)2CHI and (NH2)2CHBr  – into the corresponding perovskite in the so-called sequential deposition method. The comparison between experimental data and theoretical atomistic simulations results enabled us to shed some light on the conversion reaction mechanism of MHPs.

Structures of the BX2 precursors, PbI2 (left) and PbBr2 (right). The dashed lines highlight a layer of PbI2 and and the layer-like structure composing PbBr2. The first step of the conversion reaction consists in intercalating A+ and X- ions in isopropyl alcohol solution within these structures.

Figure 2: Structures of the BX2 precursors, PbI2 (left) and PbBr2 (right). The dashed lines highlight a layer of PbI2 and and the layer-like structure composing PbBr2. The first step of the conversion reaction consists in intercalating A+ and X- ions in isopropyl alcohol solution within these structures.

We found that despite the apparent difference in the structure of the precursor, the conversion mechanism of PbI2 and PbBr2 is relatively similar. PbI2 is a layered structure consisting of slabs aligned along the c crystallographic direction (Figure 2a). PbBr2 does not present such a layered structure (Figure 2b). Nevertheless, in both cases CH3NH3+ and X-ions arising from CH3NH3X salts solutions percolate into the PbX2 precursor structures, forming an intercalated intermediate structure (Figure 3). These intermediate structures are more stable than the PbX2 and CH3NH3X reactants but less stable than the final perovskite phase, and the reaction proceeds further to completion. Both steps of the conversion reaction, intercalation of CH3NH3+ and X- into the precursor to form the intermediate phase and conversion of the latter to perovskite, involve the breaking and formation of bonds. Hence, the formation of perovskite according to the sequential deposition method cannot be interpreted as a simple nucleation and growth process.

Intercalated BX2 precursors, PbI2 (top) and PbBr2 (bottom). The dashed circles highlight methylammonium and halide intercalating ion in its equilibrium geometry.
Figure 3: Intercalated BX2 precursors, PbI2 (top) and PbBr2 (bottom). The dashed circles highlight methylammonium and halide intercalating ion in its equilibrium geometry.

Together with the effect of halide on the mechanism, kinetics and energetics of the perovskite conversion reaction, we also evaluated the effect of the nature of the A+ ion. We analyzed how the conversion mechanism changes when using (NH2)2CHX instead of CH3NH3X. With (NH2)2CHPbI3 the stable phase at ambient conditions not being perovskite-type, the 3D checkerboard-like structure shown above, but a different phase, the so-called d-phase, in which PbI3 pillars are immersed in an (NH2)2CH+ embedding charge-compensating medium (Figure 4). However, going from PbI2 to the d-phase is difficult as they are structurally very different, and the process proceeds by initially forming the perovskite (NH2)2CHPbI3 phase, which is the result of intercalation of (NH2)2CH+ and I- into the PbI2 precursor, like the process leading to the formation of CH3NH3PbI3. On the contrary, the reaction of (NH2)2CHBr with PbBr2 leads to the (NH2)2CHPbBr3. Interestingly, the formation of (NH2)2CHPbBr3 is a single-step process: the complete intercalation of (NH2)2CHBr in PbBr2 does not exhibit an intermediate phase but readily proceeds to the final perovskite phase. This is due to the bulkier (NH2)2CH+ cation, which does not fit into the PbBr2 precursor. Second and perhaps even more interesting is that the energetics and kinetics of the conversion reaction are strongly determined by the first intercalation phase. This does not depend only on how well A+ and X- fit into the PbX2 precursor but also on the solvation of the ions in the isopropyl alcohol solution. Our simulations reveal that CH3NH3+ is better solvated in the alcohol than the less polar (NH2)2CH+, which on the one hand explains the faster kinetics of formation of (NH2)2CHPbBr3 over CH3NH3PbBr3 and on the other hand suggests a novel tuning strategy based on the selection of the solvent based on the solubility of the AX salt into it, perhaps the key conclusion of our work.

FAPbI3 d-phase. This phase is made of inorganic PbI3 pillars, consisting of face-sharing PbI6 octahedra, glued together by Formamidinium, FA+ ions. Formamidinium, of chemical composition (NH2)2CH, is here represented by one brown sphere for carbon and three light-blue spheres for nitrogen (hydrogen is not shown) because the orientation of the molecule is random and highly dynamical.

Figure 4: FAPbI3 delta-phase. This phase is made of inorganic PbI3 pillars, consisting of face-sharing PbI6 octahedra, glued together by Formamidinium, FA+ ions. Formamidinium, of chemical composition (NH2)2CH, is here represented by one brown sphere for carbon and three light-blue spheres for nitrogen (hydrogen is not shown) because the orientation of the molecule is random and highly dynamical.

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