1.1. D Chiral Perovskites
In 2021 Zhao
et. al synthesized an environmentally friendly zero-dimensional (0D) lead-free chiral perovskite to evaluate the non-linear optical properties, such as second harmonic generation (SHG), and to overcome the toxicity and instability of perovskites containing Pb
2+ [
16]. They introduced the chiral amine ß-methylphenethylamine (MPEA) into the perovskites structure by solution method, crystallizing (
R/S-MPEA)
2SnBr
6 and (
rac-MPEA)
2SnBr
6 starting from the
R/S/rac-MPEABr and SnCl
2 • 2H
2O in a 2:1 molar ratio, dissolving these reactants in HBr. This solution was left open and after 24 h plate-like crystals were obtained. Thanks to Single Crystal X-Ray diffraction (SC-XRD), the structure of these compounds was resolved and is reported in
Figure 2a: both enantiomers adopt the chiral space group
P2
1, while the racemic material the
P2
1/c space group. The authors optimized the host-guest engineering of these 0D mononuclear molecules and obtained efficient second-order NLO properties thanks to the incorporation of the chiral cations. In particular, they focused on UV-Vis absorption and NLO properties such as CD, reported in
Figure 2c, in which it is possible to observe an optical band gap around 2.69 eV for all of the three compounds and a strong CD response at 352nm, opposite for the enantiomers. Moreover, the breaking of the intrinsic centrosimmetry, due to the chiral amine, led to a strong SHG response for the compounds crystallizing in the
P2
1 space group (
Figure 2b). Indeed, this chiral material reports a SHG signal band when the excitation laser tunes its wavelength between 800 nm and 1200 nm, leading to a high polarization ratio. They also concluded that this strong NLO effect has two-photon nature and the optical stability is higher than those typically reported for perovskite materials, as determined by considering the high value of laser-induced damage threshold (LDT) [
16].
In 2022 Rajput
et al. proposed another lead-free zero-dimensional system based on bismuth, preparing (
R/S/rac-MBA)
4Bi
2I
10 by solution method [
17]. After dissolving bismuth (III) oxide in hydroiodic and hypophosphorous acid at 100°C, they added
R-
S-. rac- methylbenzylamine (MBA) to the solution and cooled down at room temperature with a rate of 5°C per hour. The obtained crystals were characterized by SC- XRD (
Figure 3a), observing that all the samples crystallize in the monoclinic system with a 0D structure, with
P2
1 space group for the two enantiomers and
P2
1/
c for the racemic. Noteworthy, the presence of chirality in the two enantiomers is confirmed by the absence of the rotation axes or inversion centres, granted by the crystallization in the Sohncke space group. The effect of chirality on the optical properties was evaluated conducting UV-Vis absorption and CD measurements on thin films of the three samples obtained by spin coating. From the UV-Vis spectrum (
Figure 3b), a sharp band around 500 nm can be appreciated, which leads to a value of exciton binding energy of 150 meV. This result is quite significant in terms of NLO properties, as it indicates a confinement of the electron-hole pair in the inorganic part of the structure. The CD spectra shown in
Figure 3c report a bipolar signal around 500 nm, as expected, probably due to the spin-orbital coupling.
The authors further investigated the photophysical excitonic properties by means of temperature dependent photoluminescence (PL) measurements. The PL spectra, instead, show a peak around 512 nm until 100 K, after which the peak moves to higher wavelength values. The lowest temperature investigated, namely 7 K, displays the highest peak intensity due to the extinction of the non-radiative decay. Interestingly, the observed excitonic emission has not been seen in other chiral Pb-free perovskites and it is probably linked to fewer defects in the structure inhibiting the nonradiative decay. Moreover, the authors observed small Stokes shift and relatively small lifetimes, suggesting that the PL emission at 550 nm involves shallow defects close to band edges [
17].
In 2023 Jiang
et al. proposed a comparison between two Bi-based chiral perovskites, displaying different organic cations and dimensionality [
18]. Indeed, while one is 0D and features the generic molecular formula (
R/S-MBA)
4Bi
2Br
10, (MBA = α-phenylethylenamine), the other is 1D and displays general formula (
R/S-MPA)
2BiBr
5 (MPA = 1-phenylpropane-amine). The two organic cations only differ in the length of the chain, as MPA possesses 1 C atom more, and the authors try to enlighten the role of ligan nature on the chiroptica properties. Both perovskites have been synthesized by solution method, followed by a cool down process to obtain the single crystals which were characterized through SC-XRD. The crystal structure, reported in
Figure 4a, was solved for all the compounds, unveiling that (
R/S-MBA)
4Bi
2Br
10 crystallizes in the monoclinic
P2
1 space group while
R/S-MPA)
2BiBr
5 in the orthorhombic
P2
12
12
1 one. The latter shows a higher rigidity and a stronger asymmetry, due to the confinement created by the 1D inorganic chains that induced the amines to arrange in a neater way. The authors performed UV-Vis absorption and CD measurements, reported in
Figure 4b and 4c, respectively. The UV-Vis spectra of the zero-dimensional perovskites show two peaks at 286 nm and 386 nm, while the CD spectra exhibit symmetric curves and Cotton effect. UV-Vis measurements performed on the 1D perovskites show two peaks at higher wavelengths
vs. the 0D system, while CD measurements indicated also in this case opposite profiles characterized by Cotton effect after the excitation absorption peak. An interesting comparison can be done on the
gCD values, higher in the case of (
R/S-MPA)
2BiBr
5, and easily explainable by the connection between the anisotropic coefficient and the magnetic dipole moment, related to the disposition of the octahedra in the two cases (see section 3). Another important characterization on which the authors focused was the SHG response, observed in both (
R/S-MPA)
2BiBr
5 and (
R/S-MBA)
4Bi
2Br
10 with different magnitude. Indeed, (
R/S-MPA)
2BiBr
5 exhibits a SHG response four times higher than (
R/S-MBA)
4Bi
2Br
10, again due to the arrangement of the structure as will be explained in section 3 [
18].
1.2. 1D Chiral Perovskites
In 2021 Li
et al. synthesized a lead-free, one-dimensional double chiral perovskite with chemical formula [(
R/S)-β-MPA]
4AgBiI
8 (MPA= methylphenethylammonium), conducting CD and CPL measurements and underlining the performances of double hybrid perovskites and the possibility to work without using lead [
19]. They prepared the samples by solution method, using AgO
2 and Bi
2O
3 as metal precursors in hydroiodic acid and adding MPA (
R or
S) after the dissolution of the precursors. The authors solved the structure by SC-XRD (
Figure 5) disclosing that both enantiomers crystallize in the
P2
1 space group and feature corner-sharing BiI
6 and AgI
6 octahedra layers, stacking along the
c axis, where the chiral β-MPA cations are distributed.
To prove the chirality transfer, they performed CD measurements, in which the CD signals are located at the characteristic absorption wavelength of the chiral double perovskite (
Figure 6a,b), proving the direct chirality transfer from the organic cation to the inorganic framework. To investigate the chiroptical properties, they conducted CPL measurements, allowing for the determination of the anisotropic factor related to the photocurrent, calculated through the simple equation:
For the
R enantiomer
gIph turns out to be 0.22, an interesting result for a double lead-free perovskite. This high value can be correlated to the spin-orbit coupling induced by the heavy elements Bi and I, which allow the Rashba splitting in the chiral structure [
19].
While no other lead-free 1D chiral perovskites have been reported to date, it is worth highligthing the important results obtained on a couple of Pb-containing materials which may be used as starting point to furhter expand the family of lead-free systems. In 2022 Fu
et al. synthesized the ferroelastic lead-iodide perovskite [EQ]PbI
3 [
20], where EQ stands for N-ethyl-quinuclidine, introducing, after the synthesis, a hydroxyl group in the position 3 of the aminic quinuclidine ring to convert the molecule into a chiral one and generating a couple of enantiomers
. The
R-EQ sample undergoes a paraelectric/paraelastic-ferroelectric/ferroelastic phase transition, which is the main focus of this paper. Indeed, the sample presents a phase transition at 355 K and passes from the chiral non-centrosymmetric space group
P2
1 to the
P6
322 one, turning from ferroelectric into paraelectric. This transition is confirmed by SHG measurements and by polarized light microscopy measurements, the latter allowing to study the evolution of the ferroelectric domains. The results reported in
Figure 7 showed that the ferroelectric domains diminish increasing the temperature, in agreement with the phase transition from the chiral space group to the symmetric one [
20].
In 2023 Liu
et al. prepared two different pairs of one-dimensional chiral perovskites, one only containing a single chiral cation and cited as mono-cation, while the second containing two different cations, one of them achiral, and labelled as mixed-cation [
21]. The aim was to investigate the influence of an achiral molecule in affecting or modulating the chiroptical properties. The first one, named (
R/S-AMP)
2Pb
3Br
10 (AMP =
R/S-2-aminomethylpyrrolidine), has been synthesized by solution method starting from hydrobromic acid, lead (II) acetate and the amine. The second one,
R/S-AMP(DMA)PbBr
5 (DMA = dimethylammonium), was again obtained by solution method but adding the mixture of organic linkers instead of the single one. As determined by SC-XRD, all four compounds crystallize in a
P2
12
12
1 space group. XRD also underlined that the interchain spacing is lower in the case of the mixed-cation samples, providing stronger interactions between the achiral blocks and the chiral molecules. By means of UV-Vis measurements the value of the band gaps,
i.e. 3.43 eV for (
R/S-AMP)
2Pb
3Br
10 and 3.38 eV for
R/S-AMP(DMA)PbBr
5 were determined, while PL spectra showed two peaks for the mono-cation samples, one at 440 nm and the other at 520 nm, and one broad peak at 550 nm for the mixed-cation. The authors calculated the PL quantum yields and observed higher values for the mono-cation perovskite. This observation can be linked to the structure of these samples, as the mixed-cation perovskite presents a higher distortion of the octahedra, and the
D (distortion index) parameter is reversely correlated to the PLQY. The CD spectra unveiled in both cases,
i.e. (
R/S-AMP)
2Pb
3Br
10 and
R/
S-AMP(DMA)PbBr
5, the presence of opposite signals, which prove the symmetry breaking in each sample. However, the second couple (mixed-cation samples) produced a CD signal twice higher than the first couple, associable to a larger magnetic transition dipole moment induced by the insertion of the achiral cations. In terms of CPL measurements, the anisotropic coefficient (
glum) is higher in the mixed-cation samples. The authors ascribed this result to the stronger hydrogen bond interactions in the supramolecular network, which lead to a more effective chirality transfer which amplifies the structure chirality [
21].
1.3. 2D Chiral Perovskites
In 2019 Ma
et al. proposed one of the first works centred on chiral two-dimensional perovskites, [
22]. They synthesised (
R/S-MBA)
2PbI
4, where MBA stands for C
6H
2C
2H
4NH
3 working in solution and obtaining single crystals, which were analysed by SC-XRD. They found a structure composed by a single corner-sharing octahedral layer between two layers of chiral organic chains (
Figure 8). The enantiomers crystallize in the
P2
12
12
1 space group while the racemic in the
P2
1/
a one.
The authors focused their attention on the optical properties, in particular performing CD and PL measurements. The UV-Vis spectra, reported in
Figure 9a, show absorption edges at 533 nm for the
R/
S samples and 555 nm for the racemic one. The little shift can be linked to differences into the morphology of the samples. The CD measurements (
Figure 9b) highlight opposite peaks for the two enantiomers and a flat signal for the racemic, confirming the incorporation of the chiral cation. Steady-state PL, reported in
Figure 9c, showed an emission peak probably originating from a free exciton emission, while CPL, allowed once again to confirm the correct insertion of the chiral cation and the chirality transfer to the inorganic framework. At this point, they quantified the degree of circularly polarized PL working at different temperatures, noticing that the degree of polarization tends to decrease with the increase of temperature. This phenomenon is probably due to the lattice distortion, decreasing with the temperature increase and leading to a chirality reduction [
22].
After this first example of Pb-based 2D chiral perovskite, since 2020 the attention quickly shifted towards lead-free materials, aiming to overcome the lead toxicity issues. Dehnhardt
et al. obtained an isomorphous family of organic-inorganic metal halide materials with general formula [(
R)-1-(4F)PEA]
4[E
2X
10] [
23], where PEA is phenylethyleammonium, E is Sb or Bi, and X stands for Cl, I and Br. The choice of Sb and Bi was undertaken to overcome both the Pb toxicity and the Sn instability. The authors synthesized 6 compounds by solution method, dissolving Sb
2O
3 and Bi
2O
3 in HX acid, adding the amine, and heating to reflux, then cooling down to room temperature. The obtained crystals, analysed by SC-XRD (
Figure 10a), crystallize in the
P2
1 space group, underlying the possibility of nonlinear optical properties. In
Figure 10a the crystal structure of [(
R)-1-(4-F)PEA]
4[Sb
2Cl
10] is reported as a representative example. The structure presents two layers, one inorganic and the other composed by the organic molecules. The authors performed UV-Vis measurements (
Figure 10b), observing a red shift passing from Cl to Br, and I as expected in HOIPs. By changing the E cations, they did not observe significant shifts, except in the iodide compounds where a visible red shift can be appreciated passing from Sb to Bi. The authors then conducted SHG experiments, observing the absence of SHG response in the iodide compounds, ascribable to the inhomogeneity of the crystals or to the instability of the samples under the laser [
23].
In the same year, Lu
et al. synthesized chiral HOIPs based on Sn, starting from the synthesis of the 3 compounds (
R/S/rac-MBA)
2SnI
4 (MBA = methylbenzylamine) and preparing the Sn/Pb alloyed samples (
R-MBA)
2Pb
1-XSn
xI
4 [
24] to tune the optical properties. The synthesis of the pure Sn compounds was made by solution method, resulting in rod-like crystals characterized by SC-XRD. The
R- and
S- enantiomers crystallize in the
P2
12
12
1 space group, while the racemic one into the
Pnma space group (
Figure 11).
The NLO properties of the Sn compounds, characterized by CD (
Figure 12a), showed distinct signals for the enantiomers, although the peaks are characterized by a broad profile, possibly because of the structural distortion. The CD signal variations upon Pb introduction are reported in
Figure 12b, evidencing peak shifts across all range of wavelength and demonstrating that it is possible to modulate the chiro optical properties by tuning the electronic structures of 2D chiral HOIPs [
24].
Other lead-free perovskites were reported by Sun
et al. in 2020, proposing the synthesis of (
R/S-MPEA)
2CuCl
4 and investigating CD and ferromagnetic behaviour [
25]. First, the authors synthesized both enantiomers by solution method and retrieved the crystal structure through SCXRD. Then, they investigated the optical and NLO properties, as UV-Vis-NIR and CD. The authors enlightened some important qualities of 2D chiral perovskites, as the possibility of achieving spin-polarized PL without the presence of an external magnetic field, which encouraged the exploitation of chiral ferromagnetic perovskites [
26]. The UV-Vis spectra (
Figure 13a) present two peaks, one around 397 nm ascribed to an excitonic feature and the other at 274 nm is associated with the π transition of the organic cation. In
Figure 13b are reported the CD spectra, showing a strong opposite signal for the enantiomers and a flat signal for the racemic. In terms of magnetic properties, the authors reported hysteresis loops, confirming that these materials report a spontaneous magnetization with a saturation value up to 12.5 emu g
-1. Moreover, the authors investigated the magneto-chiral dichroism (MChD), a magneto-optical effect where the absorption coefficient of the chiral compounds for an unpolarized light beam depends on how the magnetic field is applied
i.e. parallel or antiparallel to the propagation direction of the light beam. MChD signals with opposite signs in their optical response were observed for the two enantiomers, resulting in perfect mirror images. Moreover, the different peaks were associated to the electronic structure of the chiral HOIPs [
25].
In terms of analogous lead-based perovskites, Lin
et al. in 2021 studied the CD and CPL properties of 2D HOIPs with methylbenzilamine (MBA) as organic cation and with different halogen atoms as substituents at the para position of the phenyl group [
27]. All the derivatives, namely (XMBA)
2PbI
4 (X = H, F, Cl, Br, I), were evaluated through powder XRD in terms of
d-spacing of the HOIP films. The authors underlined how this value enhances going from no substitution to F, Cl, Br and I, proving the correct incorporation of the proper cation. The optical properties were studied by UV-Vis absorption and PL measurements on thin films. All the compounds presented a sharp absorption peak at 497 nm and an emissive one at 515 nm, demonstrating that this optical property is independent from the presence and nature of the halogen substituent. On the other hand, the CD spectra (
Figure 14) exhibit the strongest intensity for (ClMBA)
2PbI
4, possibly because of the halogen-halogen interaction in the substituted system which improves the rotational strength. Based on this investigation, the authors reported that the combination of optimal angular momentum and
d-spacing are key features to optimize the chiro optical properties of the final materials [
27].
3. Structure-property correlations
As anticipated in
Section 1, it is well established that the chiroptical features of HOIPs, as well as the chirality transfer mechanism, are strictly related to their structural characteristics. However, unique and reliable structural parameters governing the chiroptical properties are still missing, prompting the research to put efforts in this perspective. So far, a number of correlation attempts have been reported in the literature, which are detailed in the following of this section. Noteworthy, most of them were carried out on Pb-based perovskites, thanks to the higher number of available phases with solved crystal structures, emphasizing the need for the investigation of these aspects also for lead-free systems. The structural parameters proposed so far are mainly related to the distortion of the metal-halide octahedra. For example, the distortion index (
D) and the octahedral elongation (λ
oct) are referred to the metal-halogen bond length, while the octahedral angle variance (σ
2) is calculated on the
cis halogen-metal-halogen angles. Moreover, another parameter related to the octahedral bond angles, labelled as Δ
β, has been proposed in a recent work [
28].
Concerning 0D chiral perovskites, in 2022 Rajput
et al. attempted to correlate for the first time the bond length distortion index (
D) and bond angle variance (σ
2) with the extent of chirality, investigating the (
R/S -MBA)
4Bi
2I
10 compounds as well as other bismuth-iodide 0D structures reported in the literature [
23,
29,
30,
31]. The results were defined by themselves not satisfactory, as they found out that these parameters are not related to the chirality of the system. However, they disclosed that the structures displaying isolated [BiI
6]
3- octahedra display substantially smaller
D and σ
2 values compared to the samples featuring edge-shared or face-shared ([Bi
2I
10]
4- or [Bi
2I
9]
3-) octahedra, the latter displaying the highest
D value.
In 2023 Jiang et al. investigated (R/S-MBA)4Bi2Br10 and (R/S-MPA)2BiBr5, correlating the information resulting from CD and SHG with the crystal structure features. They disclosed a higher gCD in (R/S-MPA)2BiBr5 vs. (R/S-MBA)4Bi2Br10 and associated it to the proximity of the octahedra. Indeed, in the 1D perovskite the [BiBr6]2- octahedra are stacked together, while in the 0D one the [Bi2Br10]4- octahedra are far from each other. Closer octahedra in the structure lead to a higher influence on the magnetic dipole moment, thus resulting in a higher value of gCD. Another difference comes from the SHG response, four times higher in the case of (R/S-MPA)2BiBr5. In this circumstance its higher value was associated to the greater rigidity of the 1D system and to the infinite extension of the chains along a axis, which lead to a more regular arrangement of the organic amines thus favouring a more significant symmetry breaking.
As for the 1D HOIPs, a structure-photoluminescence (PL) properties correlation was reported for the first time in 2023 by Liu [
21], working on (
R/S-AMP)
2Pb
3Br
10 and
R/S-AMP(DMA)PbBr
5 (see above), correlating
D, σ
2 and the octahedral elongation (λ
oct) with the PL properties. The authors provided a comparison taking into account other literature lead-based materials where these parameters were investigated [
21,
32,
33], from which it can be observed that the higher values of σ
2 correspond to the higher PL quantum yields, in agreement with what was already reported by Lu and coworkers [
34] for the 3-D systems MA
1-xCs
xGeI
3 and FAGeI
3 (MA
+ = methylammonium, FA
+ = formamidinium). Noteworthy, Lu
et al. investigated the role of pressure on the octahedral distortion of MAGeI
3 and FAGeI
3, achieving as well a similar effect by gradually substituting MA
+ with the smaller Cs
+ cation, reporting that the highest PL performance can be obtained on these perovskites by tuning the
D value towards 0.2.
In the field of 2D perovskites, Sun and co-workers, in 2020, investigated (
R/S-MPEA)
2CuCl
4, where distortions of the octahedra are caused by the Jahn-Teller effect [
25]. In this paper, the authors noticed that each [CuCl
6]
4- octahedron is prolonged on the Jahn-Teller
z-axis lying in the CuCl plane. In HOIP systems, the magnetic spin is ascribable to the unoccupied Cu
dx2−y2 orbitals [
35], which are orthogonal for neighbouring octahedra in the
a-b basal plane. Jahn-Teller-active ions generate cooperative anti-ferrodistortive arrangements of the neighbouring orthogonal octahedra thus producing ferromagnetic interactions. In the same year, Jana and co-workers investigated the impact of the crystal structure on the chirality transfer mechanism and its relationship with optical properties such as CD, CPL and RD splitting [
36]. For this purpose, they employed (
R/S/rac-NPB)
2PbBr
4 and compared it to the already known S-MBPI [
10,
22]. (
R/S-NPB)
2PbBr
4 display a consistent distortion of the metal-halide octahedra, quantified through D and σ
2, and associated to H-bonding interactions or helical distortions, while
S-MBPI features nearly flat perovskite layers. Based on crystallographic indications on these two compounds, the authors reported that the chirality transfer not only needs the employment of a chiral spacer but also requires significant H-bonding interactions coupling the organic and inorganic sublattices, which determines the level of octahedra distortions [
36]. CD measurements yielded good results for both HOIPs, suggesting the independence of this optical property from the chirality transfer. On the other hand, the CPL response unveils a decrease of the intensity ratio among the narrow free-excitonic emission and the broad self-trapped excitonic emission with the increase of structural distortions, in line with what already reported for <100>-oriented lead bromide HOIPs [
37]. In addition, by performing theoretical calculations, the author ascribed the high value of RD splitting in (
R/S-NPB)
2PbBr
4 to the octahedral tilting distortions and to the broad distribution of Pb-Br-Pb bond angles, in agreement with the much lower value found in
S-MBPI and consistent with simulations performed with models displaying distorted or undistorted octahedra.
In 2021, the same research group investigated a number of already known or
ad-hoc synthesized HOIPs, crystallizing in non-centrosymmetric or chiral space groups, to shed more light on the parameters affecting the RD splitting [
28]. The authors specified that inserting a chiral cation is not sufficient to induce chirality in the inorganic layers since, to achieve a detectable inversion asymmetry, the chiral cation needs to induce distortions within the inorganic layers. For this purpose, they proposed a descriptor, Δ
β, indicative of the difference between adjacent octahedral bond angles, and studied its correlation with the computed RD spin-orbit coupling (SOC) values. As a general trend, high Δ
β values were found out in Br- and Cl-based HOIPs, while lower values were detected in I-based perovskites. This trend led to high RD SOC splittings in the former cases, while absent or negligible ones in the latter cases, as disclosed by investigating the band splitting through density functional theory (DFT) calculations. Upon decomposing Δ
β into in-plane (Δ
βin) and out-of-plane (Δ
βout) contributions, it was established that Δ
βin best correlates with the RD splitting [
28]. Notably, by fitting the strong correlation of spin-splitting parameters with Δ
βin results in a good overlap with the confidence intervals, implying that this empirical correlation is quantitative at least in the considered lead-based HOIPs [
28].
Again, in 2021 Lin et al. investigated the role of the para-substituent in a series of (XMBA)2PbI4 (X = H, F, Cl, Br, I). The authors reported that while the substituents influence the d-spacing of the HOIPs films, with the trend ((MBA)2PbI4) < ((FMBA)2PbI4) < ((ClMBA)2PbI4) < ((BrMBA)2PbI4) < ((IMBA)2PbI4), it does not play a role in the octahedral deformation, as witnessed by the comparable band gaps. From CD measurements the authors observed that the rotatory strength, calculated in terms of g value, decreases as the d-spacing increases. As it was observed that all the considered HOIPs displayed similar absorption and emission profiles, the different g values should arise from the magnetic transition dipole moment term, which decreases as the d-spacing increases. Moreover, by performing SC-XRD measurements on (F-MBA)2PbI4 and (Cl-MBA)2PbI4 the authors unveiled the additional role of the halogen-halogen interactions in the g value, which increases for heavier halogens in para position. In short, the interplay of d-spacing and halogen–halogen interactions led to optimal CD and CPL responses for (ClMBA)2PbI4, yielding a trend in the circular dichroism intensity, of the title HOIPs, in the order (ClMBA)2PbI4 > (BrMBA)2PbI4 > (IMBA)2PbI4 > (MBA)2PbI4 > (FMBA)2PbI4.