Based on all the above experimental results, we finally propose a growth mechanism of our IE method. As illustrated in Figure
3(g), the diffusional growth process could be divided into two main steps: the short time step I (~30 s) and the much longer step II (~35 min). In step I, DMSO-containing PbI
2-DMSO adducts form after the solvent engineering process, which would retard the further crystallization process. As we know, DMSO has a strong capability of coordinating with PbI
2 and MAI but weakly interacting with FAI, as evidenced by Figure S19 [
19,
20,
39]. As the dissociation rate of DMSO is faster via annealing, DMSO molecules close to the hotter bottom are firstly dissociated upon annealing, triggering the crystallization process. The formation of the temperature gradient mainly impacts this step. In the actual experimental settings, the initial film temperature is lower than the value set on the hotplate. This temperature gradient built up inside the perovskite film during thermal annealing leads to the formation of yellow-phase perovskite. Previous works have confirmed that the formation energy plays an important role in the crystallization process of perovskites [
38,
40]. The yellow
δ phase is more favorable for FA
1-xCs
xPbI
3 (
) when the annealing temperature is below the phase transition point (~150°C) [
12]. In our intermediate engineering method, the formation energy of black-phase perovskite was greatly reduced by first the formation of FA-MA-Cs perovskite [
37,
38]. Upon annealing, the hot bottom helped to dissociate the DMSO molecule and precrystallize the black-phase perovskite seeds in the IE sample. Then, as the annealing proceeds, the crystallization of black-phase perovskite diffused vertically to the top of the film. In such bottom-to-top diffusional growth of FA-Cs perovskite, we could successfully utilize the annealing temperature gradient and the thermally unstable MA-based perovskite seeds. In contrast, if the precursor film is annealed from the top side via hot airflow, the perovskite film shows much-reduced crystallinity than that of the bottom-annealed sample (Figure S20). What is more, the intensity ratio of the peak located at ~14 degrees ((100) plane) and ~20 degrees ((110) plane) was also much smaller than that of the bottom-annealed samples, indicating the less oriented growth of the perovskite film. Such results further confirmed that such temperature gradient is an important factor for the preparation of highly oriented perovskite films. In step II, as the interaction of PbI
2 and FA
+ is much stronger than that of MA
+, the MA
+ cation was replaced by the FA
+ and then repelled from the film to further improve the film quality (Figure S21). As evidenced by previous reports [
41,
42], such process may last for tens of minutes. Although the duration of step I is relatively short, its importance cannot be ignored. The MA
+ cation-induced precrystallized perovskite seeds at the bottom in step I could also act as templates for the further growth of perovskite films as they could relieve the strain built during the
δ-
α-phase transformation. As we know, the
δ phase consists of face-sharing PbI
6 octahedra while the PbI
6 octahedron in
α-phase perovskite is corner-sharing. The face-sharing mode is more compact than the corner-sharing mode; hence, an expansion of the PbI
6 octahedron would take place in this phase transformation process [
26]. Such feature is somehow similar to the often-considered difficult “two-step” method, which involves the transformation from highly crystalline PbI
2 to MAPbI
3 [
43–
47]. For the control sample, the highly crystalline
δ phase is so hard to corrode, leading to the smaller crystal size and formation of pinholes in the films [
26]. This difficult
δ-
α-phase transformation also caused more critical lattice tension/compression within the perovskite film, which could lead to more serious strain [
48]. Such strains could induce more ion migration and generate more defect sites, which not only deteriorated the device performance but also reduced the stability of perovskite films [
49,
50]. On the contrary, the crystallinity of the
δ phase in the IE sample was greatly reduced by the perovskite seeds. Thus, the expansion of the PbI
6 octahedron was promoted and the lattice stains were relieved, which finally leads to the growth of highly crystalline, well-oriented, pinhole-free, and robust perovskite films.