Skip to main content
ACS Omega logoLink to ACS Omega
. 2021 Sep 3;6(37):24244–24255. doi: 10.1021/acsomega.1c03952

Sensing Mechanism of H2O, NH3, and O2 on the Stability-Improved Cs2Pb(SCN)2Br2 Surface: A Quantum Dynamics Investigation

Bing Zhang †,‡,§, Xiaogang Wang , Yang Yang , Bin Hu †,‡,§, Lei Tong , Ying Liu , Li Zhao †,, Qiang Lu †,‡,§,*
PMCID: PMC8459405  PMID: 34568702

Abstract

graphic file with name ao1c03952_0017.jpg

Although the perovskite sensing materials have shown high sensitivity and ideal selectivity toward neutral, oxidative, or reductive gases, their structural instability hampers the practical application. To exploit perovskite-based gas-sensing materials with improved stability and decent sensitivity, three adsorption complexes of H2O, NH3, and O2 on the Cs2Pb(SCN)2Br2 surface are built by doping Br and Cs+ in the parent (CH3NH3)2Pb(SCN)2I2 structure and submitted to quantum dynamics simulations. Changes in the semiconductor material geometric structures during these dynamic processes are analyzed and adsorption ability and charge transfer between Cs2Pb(SCN)2Br2 and the gas molecules are explored so as to further establish a correlation between the geometrical structure variations and the charge transfer. By comparing with the previous CH3NH3PbI3 and (CH3NH3)2Pb(SCN)2I2 adsorption systems, we propose the key factors that enhance the stability of perovskite structures in different atmospheres. The current work is expected to provide clues for developing innovative perovskite sensing materials or for constructing reasonable sensing mechanisms.

1. Introduction

The metal–organic halide perovskite ABX3 has attracted much interest due to its excellent photovoltaic properties.15 At present, the power conversion efficiency (PCE) of solar cells based on ABX3 structures has exceeded 25.5%;6 however, the structural instability of perovskite materials hinders their further development and application in solar cells.710 Zhao11 and Bao12 et al. used CH3NH3PbI3 to explore the gas-sensing properties of NH3, which usher in an era of applying perovskite materials in gas sensing. Since then, the detection limit of O2 concentration has been reduced to as low as 70 ppm based on CH3NH3PbI3 films,13 while CH3NH3PbI3–xClx has been proved to be able to detect an ultralow ozone concentration of few ppb.14 These typical experiments have proved the extraordinary sensitivity of the perovskite materials to gases with different reductive or oxidative properties.1118 Differing from the application in solar cells, the range for designing stable perovskite materials for gas sensing can break through the strict limitations on band gaps of photovoltaic materials and hence the interest in the development of such perovskite materials has been triggered.

Despite the extraordinary sensitivity or selectivity of CH3NH3PbI3 to gases with various physical or chemical properties, it has been found that the sensing material could be damaged when putting in NH3 (reductive), H2O (neutral), and O2, NO2, or O3 (oxidative) environment. The stability improvement of the gas sensors based on perovskite materials, therefore, remains a major challenge. Our previous quantum dynamics simulations show that Pb2+ with an intermediate valence state exhibits both reduction and oxidation ability, thus it offers active sites that are attacked by both oxidizing and reducing gases, and the weak Pb–I framework fails to resist attack by strong oxidative or reductive gases. Further experiments have proved that (CH3NH3)2Pb(SCN)2I2, obtained through the partial substitution of the X-site elements in CH3NH3PbI3, can improve the perovskite material moisture resistance.19 In the simulations of (CH3NH3)2Pb(SCN)2I2 adsorbing gases with different properties, i.e., neutral H2O, reductive NH3, and oxidative NO2, O2, and O3, it is found what underpins the mechanism of the SCN groups effectively enhancing the stability of perovskite skeletons is that both the S atoms and the CN groups of SCN can stably bond with Pb. Therefore, the structural stability in the dynamics process is maintained in the form of Pb–NCS or Pb–SCN–Pb network structures. However, the weak Pb–I bonds in the structure are still the targets of oxidizing or reducing gases. It has been found that both the neutral H2O and oxidative gases (NO2, O2, and O3) can form a stable Pb–O connection by directly attacking the Pb–I bonds.20 Anyway, in the study of the adsorption of reductive NH3 by CH3NH3PbI3,21 it is found that the A-site CH3NH3+ groups rapidly adsorb NH3 and undergo H proton exchanges, thus blocking the interactions between the gas molecules and the skeletons; nevertheless, NH3 can eventually break through the CH3NH3+ barrier and interact with Pb to achieve stable adsorption and charge exchange. In addition, during the adsorption process, it has been confirmed that the perovskite materials normally receive charges from reductive gases but donate charges to oxidative gases, which is believed to be related to the electron structural changes of the semiconducting materials.21

In recent years, the substitution of the original A-site organic groups with inorganic elements or groups to improve the perovskite stability has also been utilized in gas sensing. Experiments have proved that Cs2Pb(SCN)2I2 exhibits enhanced ambient stability compared with (CH3NH3)2Pb(SCN)2I2.22 In addition, CsPbBr3 has been used to detect volatile organic compounds (acetone and ethanol) with a detection limit as low as 1 ppm. In addition, it also provides a fast response and rapid recovery in the detection of O2.23 The excellent stability of CsPbBr3 in air and oxygen has also been verified.24

Investigating the gas-sensing mechanisms is the first step leading to the development of ideal sensing materials, while research on adsorption and desorption of gas molecules on the perovskite material surface is the starting point for probing gas-sensing mechanisms. According to Yamazoe25 et al., the initial move in the sensing process of semiconductor–gas molecules is to calibrate gas molecules and their active sites where the gas operates via the electronic changes introduced by gas–solid interactions. Our previous work20,21 shows that the structural instability of the perovskite materials causes different dynamic changes around the adsorption sites. Such a property challenges the traditional static first-principles calculations;2633 therefore, the quantum dynamics methodology is employed to deal with such special properties.20,21,3439

In the current work, to improve the structural stability of CH3NH3PbI3 and to clarify the sensing mechanism origin of the perovskites toward gases with different oxidation–reduction characteristics, the original organic CH3NH3+ groups are replaced by inorganic Cs+ and the weak Pb–I bonds are substituted by Pb–SCN and Pb–Br. The previously simulated typical neutral (H2O), reductive (NH3), and oxidative (O2) gases are reselected to form three complexes of Cs2Pb(SCN)2Br2–H2O, Cs2Pb(SCN)2Br2–NH3, and Cs2Pb(SCN)2Br2–O2, respectively. All of the systems are submitted to dynamics simulations. The structural stability of Cs2Pb(SCN)2Br2, under the attack of strong reductive, oxidative, and neutral gas molecules, is described in detail via monitoring the bond breaking and formation during the dynamics processes. The adsorption energy and charge transfer between the perovskite materials and the gases are both quantified. The adsorption details of H2O, NH3, and O2 with CH3NH3PbI3 and (CH3NH3)2Pb(SCN)2I2 are also recalled and compared with systems in the current work. Based on the comparisons, a relationship between the geometrical structure changes of the semiconductor materials and the charge transfer is established. The purpose of this research is to reveal the adsorption–desorption processes and the stability enhancement mechanisms of Cs2Pb(SCN)2Br2 in an environment containing gases bearing different properties, so as to provide new ideas for developing perovskite sensing materials with improved stability and decent sensitivity.

2. Results and Discussion

The root mean square deviations (RMSDs) of all of the complexes are demonstrated in Figure 1. The RMSD curves of the Cs2Pb(SCN)2Br2–H2O, Cs2Pb(SCN)2Br2–NH3, and Cs2Pb(SCN)2Br2–O2 systems tend to be stable at 125, 95, and 145 ps, respectively, indicating that the adsorption of the gas molecules on the perovskite skeletons reaches an equilibrium. It takes different time spans for the RMSD curves of the three systems to obtain an equilibrium, and the fluctuations of which are distinct as well, which might suggest that gases with different chemical properties exhibit different adsorption behaviors. The RMSD of the atoms on the perovskite material surface, including Pb, Br, S, C, and N, have also been extracted and described in Figure 1. From the figure, it is clear that the fluctuations of S, C, and N on the surface are larger than those of the atoms inside the skeleton. This is in agreement with the structural stability analyses below, where the −SCN groups on the surface stick out to and are disturbed by the gas molecules to form new Pb–SCN–Pb connections.

Figure 1.

Figure 1

Curves in (a)–(c) are the RMSD of the Cs2Pb(SCN)2Br2–H2O (a), Cs2Pb(SCN)2Br2–NH3 (b), and Cs2Pb(SCN)2Br2–O2 (c) complexes, respectively. (d)–(f) Fluctuations of atoms on the Cs2Pb(SCN)2Br2 surface in complexes (a)–(c), respectively.

2.1. Adsorption Properties of Water Molecules on the Cs2Pb(SCN)2Br2 Surface

The simulations show that, compared with those of the CH3NH3PbI3 and (CH3NH3)2Pb(SCN)2I2 systems, the stability of Cs2Pb(SCN)2Br2 is further improved in a humid environment. The study of the adsorption of H2O on CH3NH3PbI3 and (CH3NH3)2Pb(SCN)2I2 demonstrates that the breakage of the weak Pb–I bonds in the dynamic process is the main reason for the distortion and collapse of the perovskite skeletons under the attack of water molecules. Therefore, in the current work, the changes in the Pb–Br bonds in Cs2Pb(SCN)2Br2 are first investigated. In the current dynamics process, a Pb–I connection is considered broken when the bond length is stretched longer than 3.4 Å and the threshold is 3.25 Å for a Pb–Br connection.40 At the end of the simulations, there are 21 intact Pb–Br bonds, out of the initial 32 bonds in the system, and the integrity rate is 65.63% (21/32). The integrity rates of Pb–I bonds in the (CH3NH3)2Pb(SCN)2I2 and CH3NH3PbI3 systems are 62.50% (20/32) and 58.33% (28/48), respectively. Therefore, the substitution of the original Pb–I bonds with stronger Pb–Br connections can effectively decrease the broken Pb–X bond proportion, thus reducing the opportunity for the exposed metal ions to connect with H2O molecules. Anyway, a small portion of the Pb–Br bonds are still broken under the attack of H2O molecules, and H2O is found to attack Pb atoms and form Pb2–O1, Pb7–O21, Pb7–O16, Pb6–O9, Pb6–O24, Pb5–O23, and Pb5–O5 connections (Figure 2a). The distances between these Pb and O atoms are mostly slightly longer than the Pb–O bond length (2.49 Å),41 indicating that the interactions between Pb–OH2 are weaker than that of normal Pb–O bonds (Figure 3a). In the simulations of CH3NH3PbI3–H2O and (CH3NH3)2Pb(SCN)2I2–H2O, the release of reactants CH3NH3I and CH3NH3SCN is observed at 5 and 94 ps (Figure 4), respectively; no reactant is, however, observed in the Cs2Pb(SCN)2Br2–H2O system. This implies that the doping of SCN and Br is conducive to improving the perovskite structural stability.

Figure 2.

Figure 2

Typical snapshots during the Cs2Pb(SCN)2Br2–H2O simulations: (a) Pb and OH2 connection, (b) formation of a Pb–NCS bond, and (c) formation of a Pb–SCN–Pb network.

Figure 3.

Figure 3

Changes in the new connections in the Cs2Pb(SCN)2Br2–H2O system: (a) Pb–O interaction and (b) Pb–NCS connection.

Figure 4.

Figure 4

Release of the reactants (a) CH3NH3I and (b) CH3NH3SCN.

Furthermore, it has been proved that the formation of stable Pb–NCS bonds and Pb–SCN–Pb networks in the (CH3NH3)2Pb(SCN)2I2 system is the crucial reason to effectively maintain the stability of perovskite structures. In the Cs2Pb(SCN)2Br2–H2O complex, it is also noticed that SCN groups rotate in the dynamic process to form Pb–NCS bonds (Figure 2b). In view of this phenomenon, the structures of Cs2Pb(SCN)2Br2 and Cs2Pb(NCS)2Br2 are both optimized, and the formation energies are −124.475 eV and −124.050 eV, respectively (Figure 5). These energies are very similar, revealing that both connections can exist stably. Furthermore, Pb1–(NCS)4, Pb6–(NCS)11, and Pb2–(NCS)3 connections are successively observed (Figure 3b). Moreover, the Pb4–(SCN)7–Pb2 network is also detected at 19 ps (Figure 2c).

Figure 5.

Figure 5

Structural optimization of (a) Pb–SCN and (b) Pb–NCS connections.

The stability improvement mechanisms of the perovskite structure by replacing the polar stick-like CH3NH3+ groups with the nonpolar spherical CS+ atoms have been proved previously. The rotation of the former is shown to damage the weak Pb–I bonds in three-dimensional (3D) skeletons to a certain extent.40 Li et al.22 suggested that when CS+ is inserted into a two-dimensional (2D) (PbX4(SCN)2) framework, smaller Br that is more strongly bonded with Pb2+ can be used, without serious lattice distortion in air, which is also verified by our simulation results. The comparison of the dynamic fluctuations of the three systems shows that the amplitude of fluctuation of Cs+ in the Cs2Pb(SCN)2Br2–H2O system is much smaller than that of CH3NH3+ in the CH3NH3PbI3–H2O and (CH3NH3)2Pb(SCN)2I2–H2O complexes (Figure S1). In addition, the increased amplitudes of the RMSD curves of Pb and Br atoms are smaller than those of Pb and I in the CH3NH3PbI3–H2O and (CH3NH3)2Pb(SCN)2I2–H2O systems, indicating that the substitution of Cs+ can stabilize such materials.

2.2. Adsorption Properties of NH3 on the Cs2Pb(SCN)2Br2 Surface

The dynamics results show that without the blockage of CH3NH3+, NH3 can rapidly and directly attack Pb atoms on the Cs2Pb(SCN)2Br2 surface, which is the biggest difference between the Cs2Pb(SCN)2Br2–NH3 system and the previous CH3NH3PbI3–NH3 system. On the CH3NH3PbI3 surface, NH3 molecules do not stably bond with Pb atoms until 150 ps.21 Meanwhile, the CH3NH2 groups, the products of CH3NH3+–NH3 proton exchange, attack Pb atoms to form a Pb–N connection, which survives the rest of the simulations. These Pb–NH2CH3 bonds rotate continuously to break the nearby Pb–I bonds, which directly leads to the damage of the Pb–I skeleton. The reactant CH3NH3I has been observed at 5 ps, as seen in Figure 6. In the current system, the bond length of Pb5-N17 reaches 2.41 Å at 20 ps (Figure 7a), which is smaller than the standard Pb–N bond length of 2.91 Å.42 After that, stable connections of Pb3–N36, Pb6–N23, Pb8–N35, and Pb6–N30 are successively generated at 21, 29, 51, and 60 ps, respectively (Figure 8). Pb6–N30 is formed at 60 ps and remains stable until the end of the simulation, and no new Pb–N connections are observed. The Pb–NH3 bonding does not rotate like Pb–NH2CH3 in the CH3NH3PbI3–NH3 complex, while the Pb–Br bonds are only partially broken. Therefore, the octahedrons in the perovskite skeletons remain intact without serious distortion or collapse (Figure 9b). At the end of the simulations, the integrity rate of the Pb–Br bonds in the Cs2Pb(SCN)2Br2–NH3 system is 71.88% (23/32), while that in the CH3NH3PbI3–NH3 complex is 56.25% (27/48).

Figure 6.

Figure 6

Release of the reactant CH3NH3I in the CH3NH3PbI3–NH3 complex.

Figure 7.

Figure 7

Typical snapshots of the Cs2Pb(SCN)2Br2–NH3 complex in the current work: (a) Pb and NH3 connection and (b) formation of Pb–NCS and Pb–SCN–Pb networks.

Figure 8.

Figure 8

Connection of Pb and NH3 in the Cs2Pb(SCN)2Br2–NH3 complex.

Figure 9.

Figure 9

Starting and final structures of the adsorption systems: (a) Cs2Pb(SCN)2Br2–H2O, (b) Cs2Pb(SCN)2Br2–NH3, and (c) Cs2Pb(SCN)2Br2–O2.

In addition, both the Pb–NCS and Pb–SCN–Pb networks have been observed in the Cs2Pb(SCN)2Br2–NH3 system (Figure 7b), which also make contributions to improving the stability of the perovskite structures.

2.3. Adsorption Properties of O2 on the Cs2Pb(SCN)2Br2 Surface

In contrast to H2O and NH3 that can form stable interactions with exposed lead atoms, the O2 molecules on the perovskite surface are found to be frequently adsorbed and desorbed. As shown in Figure 10a, the distance of the Pb6-O7 connection is 2.59 Å at 83 ps, which is longer than the Pb–O bond length of 2.49 Å,41 suggesting a weak interaction between Pb6 and O7 (Figure 11a). Such adsorption properties of O2 are also observed on the surfaces of CH3NH3PbI3 and (CH3NH3)2Pb(SCN)2I2; however, in these two systems, the O2 molecules manage to enter the perovskite lattices by attacking and breaking the Pb–I bonds to temporarily bond with Pb2+, which severely damages the material structures (Figure S2). In this study, O2 still cracks the Pb–Br bonds. At the end of the simulations, the integrity ratio of Pb–Br connections is 62.50% (20/32), which is slightly higher than that of 58.33% (28/48) in the CH3NH3PbI3–O2 system and 43.75% (14/32) in the (CH3NH3)2Pb(SCN)2I2–O2 system. This indicates that the Pb–Br bonds are still not strong enough under strong oxidizing gas attacks. Despite this, in the Cs2Pb(SCN)2Br2–O2 system, the O2 molecules are blocked and reside on the surface of perovskite materials and cannot enter the internal of the lattice throughout the simulations (Figure 9c), which is attributed to the contribution of the Pb–SCN (Figure 10b).

Figure 10.

Figure 10

Typical snapshots of the Cs2Pb(SCN)2Br2–O2 complex: (a) weak Pb–O2 connection and (b) Pb–NCS and Pb–SCN–Pb networks.

Figure 11.

Figure 11

Evolution of the newly formed connections in the Cs2Pb(SCN)2Br2–O2 complex: (a) interaction of Pb–O, (b) connection of Pb–NCS, and (c) formation of Pb–SCN–Pb networks.

At the end of the dynamics process of the Cs2Pb(SCN)2Br2–O2 system, 11 out of 16 Pb–SCN transform to Pb–NCS connections, that is, Pb1–(NCS)1, Pb2–(NCS)2, Pb2–(NCS)3, Pb1–(NCS)4, Pb3–(NCS)5, Pb4–(NCS)6, Pb4–(NCS)7, Pb6–(NCS)10, Pb8–(NCS)15, Pb7–(NCS)16, and Pb7–(NCS)13 (Figure 11b). In the Cs2Pb(SCN)2Br2–H2O and Cs2Pb(SCN)2Br2–NH3 complexes, the number of Pb–NCS is 1 and 8, respectively. The reason of which is further analyzed in the following charge transfer section. In addition, the Pb6–(SCN)11–Pb8, Pb5–(SCN)12–Pb1, and Pb4–(SCN)3–Pb2 networks are observed (Figure 11c, the normal bond length of Pb–S is 3.70 Å43). It is these special forms that are deemed to prevent O2 molecules from entering the perovskite lattice, thus ensuring the structural integrity of the semiconductor materials.

From the above analyses, it can be seen that, during the adsorption processes, the −SCN groups on the Cs2Pb(SCN)2Br2 surface are first affected by the gas molecules and different connections are detected, which is consistent with the RMSD curve fluctuations of the surface S, C, and N atoms.

The following quantitative data of the adsorption energy and charge transfer are used to depict the adsorption properties of the three systems.

2.4. Adsorption Ability of H2O, NH3, and O2 on the Cs2Pb(SCN)2Br2 Surface

Figure 12 and Table S1 demonstrate the data of the adsorption energies of the Cs2Pb(SCN)2Br2–H2O, Cs2Pb(SCN)2Br2–NH3, and Cs2Pb(SCN)2Br2–O2 complexes. The negative adsorption energy (Ead) implies the reactions are exothermic and spontaneous. This indicates that the gas molecules are adsorbed on the Cs2Pb(SCN)2Br2 surface; the larger adsorption energy suggests that more energy is released during the reaction and more stable connections are established. For the Cs2Pb(SCN)2Br2–NH3 system, in the initial phase of the dynamics process, the NH3 molecules attack Pb atoms to form a stable Pb–N connection; however, the presence of Pb–SCN and Pb–NCS connections on the surface prevents more NH3 molecules from attacking Pb atoms and the average adsorption energy of the system in the equilibrium stage is −57.611 eV. For the Cs2Pb(SCN)2Br2–H2O system, Pb atoms are still active sites that are first attacked by the H2O molecules. Although the number of the newly formed Pb–OH2 connections is larger than that of the Pb–N bonds mentioned above, the average adsorption energy of the system in the equilibrium stage is slightly lower, −53.678 eV. This is mainly due to the relatively weak Pb–OH2 connections as discussed in Section 2.1. Furthermore, considering that the total number of H2O molecules is 25 and that of NH3 is 20, the adsorption ability of a single NH3 is stronger than that of a single H2O molecule. In contrast, the Cs2Pb(SCN)2Br2–O2 system is more special. Due to the frequent adsorption–desorption behaviors of O2 in the dynamic process, the adsorption energy of the system is relatively lower than the above discussed two complexes, which is −2.781 eV. This phenomenon seems to fulfill the requirements of an ideal gas-sensing system, where the gas molecule under detection is not only easily adsorbed but also easily released from the sensing material surface.

Figure 12.

Figure 12

Adsorption energies of (a) Cs2Pb(SCN)2Br2–H2O, (b) Cs2Pb(SCN)2Br2–NH3, and (c) Cs2Pb(SCN)2Br2–O2 complex.

2.5. Charge Transfer between Cs2Pb(SCN)2Br2 and H2O, NH3, and O2

Charge transfer is one of the most crucial factors influencing the resistivity of sensing materials. The calculated Bader charges are shown in Figure 13 and Table S2. In the initial stage, the quantity of the charge transfers from H2O to Cs2Pb(SCN)2Br2 is 0.616 e. In this case, both Pb2+ (−4.869 e) and Cs+ (−9.870 e) in the Cs2Pb(SCN)2Br2–H2O system lose charges. The charges gained by SCN and Br are 7.967 e and 7.352 e, respectively. At the end of the dynamics process, the charge transferred from H2O to Cs2Pb(SCN)2Br2 is 1.647 e, and those of Pb2+, Cs+, SCN, and Br are −4.954 e, −9.913 e, 9.253 e, and 7.261 e, respectively. Therefore, during the dynamics processes, the donors in the Cs2Pb(SCN)2Br2–H2O system are H2O (−1.031 e), Pb2+(−0.085 e), Cs+(−0.043 e), and Br(−0.091 e), respectively, while the acceptor is SCN(1.286 e). Similarly, for the Cs2Pb(SCN)2Br2–NH3 system, the donors are NH3, Pb2+, and Cs+, donating −0.848 e, −0.141 e, and −0.088 e, respectively. The acceptors are SCN and Br, respectively, accepting 0.370 e and 0.714 e. In the Cs2Pb(SCN)2Br2–O2 complex, the donors are Pb2+ and Br, which separately provide −0.209 e and −0.708 e, respectively. The acceptors are O2, Cs, and SCN, accepting 0.824 e, −0.150 e, and 0.244 e, respectively.

Figure 13.

Figure 13

Charge transfer of (a) Cs2Pb(SCN)2Br2–H2O, (b) Cs2Pb(SCN)2Br2–NH3, and (c) Cs2Pb(SCN)2Br2–O2 complex.

Pb2+ has both oxidizing and reducing properties. In the current work, Pb2+ loses charge, showing different degrees of reducibility, which may be related to the strong electron-withdrawing halogen or the pseudo-halogen groups connected with Pb2+. In view of the formation of the multiple Pb–NCS connections and the strong electron-withdrawing capacity of the −CN groups, the relationship between the charge loss of Pb atoms and the number of Pb–NCS connections is proved, as shown in Table 1 and Figure 14. The data show that there is an obvious linear correlation between them in all three systems. Based on the above analysis, Pb2+ is a crucial active site and the gas molecules–Pb2+–SCN connections are the main charge-transfer channels. Combined with the above structural stability analysis, although the stability of Pb–SCN and Pb–NCS is similar, considering the stronger electron-withdrawing properties of the −CN groups, more Pb–NCS connections indicate stronger electron-accepting ability during the adsorption of various gas molecules. In the three systems, with the increase in the number of Pb–NCS bonds, Pb2+ loses more charge, showing stronger oxidizability. For the neutral H2O and reductive NH3, the systems receive charges. In terms of the strong oxidizing O2, these systems still lose charges.

Table 1. Relationship between the Loss of Charges of Pb Atoms and the Number of Pb–NCS Connections.

Cs2Pb(SCN)2Br2–H2O
Cs2Pb(SCN)2Br2–NH3
Cs2Pb(SCN)2Br2–O2
number of Pb–NCS connections charge donated by Pb2+ (e) number of Pb–NCS connections charge donated by Pb2+ (e) number of Pb–NCS connections charge donated by Pb2+ (e)
4 –0.111 4 –0.060 4 0.011
3 –0.091 6 –0.071 7 –0.035
1 –0.085 8 –0.140 11 –0.227

Figure 14.

Figure 14

Relationship between the loss of charges of Pb atoms and the number of Pb–NCS connections.

2.6. Influences on the Band Gap of Cs2Pb(SCN)2Br2 from the Adsorption of H2O, NH3, and O2

The band gap values of Cs2Pb(SCN)2Br2 before and after the adsorption of the gas molecules were calculated and are listed in Table 2. To clearly show the band gap tuning of the semiconductor materials from gas sensing, the structures, in which the stable connections between the gas molecules and the surface of Cs2Pb(SCN)2Br2 were formed (Figure S3), were selected and calculated. The band gap value of 0.794 eV refers to the pure perovskite material. After adsorption, as seen in Figure 13 and Table 2, when reductive NH3 or neutral H2O molecules were involved, Cs2Pb(SCN)2Br2 receives charge from NH3 or H2O, the band gap increases; when oxidative O2 molecules were absorbed, Cs2Pb(SCN)2Br2 losses charge, the band gap decreases. It is well known that organometallic halide perovskites are ambipolar charge transporters due to the comparable effective masses of the electrons and holes.44,45 The adsorption of both the electron-donating (NH3 and H2O) and the electron-withdrawing (O2) molecules can increase the electron- and hole-doping level of Cs2Pb(SCN)2Br2, causing the materials to behave as n- or p-type semiconductors.

Table 2. Band Gap Variations due to the Different Charge-Transfer Processes.

Cs2Pb(SCN)2Br2–H2O
Cs2Pb(SCN)2Br2–NH3
Cs2Pb(SCN)2Br2–O2
time (ps) band gap (eV) time (ps) band gap (eV) time (ps) band gap (eV)
80 1.024 105 1.076 83 0.443
140 1.006 140 1.182 145 0.542
175 1.190 185 1.132 184 0.767

3. Conclusions

In the current work, the influences of the adsorption of typical neutral H2O, reductive NH3, and oxidative O2 on the surface of Cs2Pb(SCN)2Br2 on the perovskite geometric structures are investigated. The adsorption energy and charge-transfer processes between the gas molecules and semiconductor materials are calculated as well. The main conclusions are as follows:

  • (1)

    The Br doping, the Pb–NSC connection formation, and the replacement of the polar and stick-like CH3NH3+ groups with the nonpolar and spherical CS+ cations together can effectively improve the structural stability of the perovskite materials. The quick adsorption of the gas molecules on the Cs2Pb(SCN)2Br2 surface and the fast charge transfer between them indicate ideal molecular recognition and, therefore, potentially high sensitivity to the three types of gas. When put in a humid or reductive gas environment, sensors based on Cs2Pb(SCN)2Br2 are expected to present enhanced stability; however, under the attack of strong oxidizing gas molecules, the Pb–Br bonds are still not strong enough, which is a problem that warrants attention in the design of perovskite materials sensitive to strong oxidizing gases.

  • (2)

    Although the simulation time of 200 ps is still too short compared with the actual adsorption–desorption process, H2O and NH3 can be stably adsorbed on the surface of Cs2Pb(SCN)2Br2 in the dynamics simulations, and no desorption is observed. The electrons flow from the gases to the semiconductor materials. O2 is frequently adsorbed or desorbed, and the charge flows from the semiconductor materials to O2. Based on these two different adsorption properties, the desorption properties of O2 on the Cs2Pb(SCN)2Br2 surface are more favorable to improving the recovery time of gas sensors.

  • (3)

    The simulations suggest when put in a humid or reductive gas environment, sensors based on Cs2Pb(SCN)2Br2 are expected to present enhanced stability; however, under the attack of strong oxidizing gas molecules, the sensors can show high sensitivity but less stability than those in the neutral or reductive gases. This is because the Pb–Br bonds are still not strong enough, which is a problem that warrants attention in the future design of perovskite materials sensitive to strong oxidizing gases.

4. Theoretical Methods

The modeling structure of Cs2Pb(SCN)2Br2 was first optimized by Vienna ab initio simulation package (VASP),46 which is built on the parent perovskite material (MA)2Pb(SCN)2I247 crystal structure. Slabs of 2*2 from the bulk structure of Cs2Pb(SCN)2Br2 were cut for Cs2Pb(SCN)2Br2–H2O, Cs2Pb(SCN)2Br2–NH3, and Cs2Pb(SCN)2Br2–O2 systems. The Cs+-terminated (001)48 perovskite surface was employed as the gas-exposed surface and a 5 Å vacuum space was set along the c-direction, which was filled with 25 H2O, 20 NH3, and 20 O2 molecules, respectively (Figure 15). The cell lattice parameters a = 12.05, b = 12.55, and c = 21.98 Å for the complexes were used. In total, 163, 168, and 128 atoms are included in the Cs2Pb(SCN)2Br2–H2O, Cs2Pb(SCN)2Br2–NH3, and Cs2Pb(SCN)2Br2–O2 systems, respectively.

Figure 15.

Figure 15

Initial structures of the three adsorption systems: (a) Cs2Pb(SCN)2Br2–H2O, (b) Cs2Pb(SCN)2Br2–NH3, and (c) Cs2Pb(SCN)2Br2–O2.

All of the ab initio dynamics simulations were carried out using the Car–Parrinello molecular dynamics (CPMD)49 module in the Quantum-Espresso package.50 Ultrasoft scalar relativistic pseudopotentials51 and the generalized gradient approximation with the Perdew–Burke–Ezernhof (PBE) function52 were applied describing the exchange interaction between atoms. Plane-wave basis set cutoffs for the augmented density and the smooth part of the wave functions are 200 RY and 25 RY, respectively. A fictitious electronic mass corresponds to 400 au. All of the dynamics calculations were conducted at a Nose–Hoover53 constant temperature of 300 K. An integration time of 5 au was employed and the total simulation time was 200 ps for each system.

To describe quantitatively the influences of gas on the perovskite skeletons, the adsorption energy and charge transfer of the semiconductor–gas systems were computed every 5 ps. The structure optimization and comparisons of the stability of the Pb–SCN and Pb–NCS bonding were performed by the projected augmented wave (PAW)54 plane-wave basis in VASP. The PBE calculations including the spin–orbit coupling (SOC)55,56 were employed for all of the periodic complexes. The cutoff of the kinetic energy was set as 500 eV, and the electronic minimization was carried out with a tolerance of 10–4 eV. A Monkhorst–Pack k-point grid of 3 × 3 × 1 was applied for the convergence of the energies and forces of the three adsorption systems. To reflect accurately the geometry variations and the electronic states of the adsorbed gas molecules on the perovskite materials, all of the coordinates of the atoms in the snapshots were left unoptimized. The adsorption energy was computed via equation

4.

where Ead, E(perovskite+gas), Eperovskite, and Egas are the adsorption energy of the complex, the total structural energy of perovskite and gas, the total structural energy of perovskite, and the structural energy of gas, respectively. The nonlocal van der Waals (VDW) contributions were considered with Grimmer’s DFT-D3 correction57 to probe the interactions between Cs2Pb(SCN)2Br2 and the gas molecules.

The Bader charge population analysis58,59 was adopted to calculate the charge transfer between the gas molecules and the semiconductor material. The net charge transfer ΔQ is defined as follows

4.

where X represents Pb2+, Br, SCN, Cs+, or gas, respectively.

Acknowledgments

The authors acknowledge support from the National Natural Science Foundation of China (51922040, 51821004, and 51876060), the Fundamental Research Funds for the Central Universities (2020DF01 and 2020MS161), and the China Postdoctoral Science Foundation (2020M680482).

Supporting Information Available

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acsomega.1c03952.

  • The RMSD curves of CH3NH3PbI3–H2O and (CH3NH3)2Pb(SCN)2I2–H2O; the final structure of CH3NH3PbI3–O2 and (CH3NH3)2Pb(SCN)2I2–O2 adsorption complexes; the snapshots with the stable connections between H2O (a)–(c), NH3 (d)–(f), and O2 (g)–(i) and the surface of Cs2Pb(SCN)2Br2, respectively; the adsorption energies of Cs2Pb(SCN)2Br2–H2O, Cs2Pb(SCN)2Br2–NH3, and Cs2Pb(SCN)2Br2–O2 adsorption complexes (PDF)

Author Contributions

B.Z. contributed to the conception of the study, wrote the paper together with B.H., X.W., Y.Y., and L.T., and performed the simulations and data processing. Y.Y. and Y.L. performed the data analyses and figure preparation. L.Z. and Q.L. contributed to the constructive discussions and data analyses.

The authors declare no competing financial interest.

Supplementary Material

ao1c03952_si_001.pdf (937.9KB, pdf)

References

  1. Kojima A.; Teshima K.; Shirai Y.; Miyasaka T. Organometal halide perovskites as visible-light sensitizers for photovoltaic cells. J. Am. Chem. Soc. 2009, 131, 6050–6051. 10.1021/ja809598r. [DOI] [PubMed] [Google Scholar]
  2. Wehrenfennig C.; Eperon G. E.; Johnston M. B.; Snaith H. J.; Herz L. M. High charge carrier mobilities and lifetimes in organolead trihalide perovskites. Adv. Mater. 2014, 26, 1584–1589. 10.1002/adma.201305172. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Roldán-Carmona C.; Malinkiewicz O.; Soriano A.; Espallargas G. M.; Garcia A.; Reinecke P.; Kroyer T.; Dar M. I.; Nazeeruddin M. K.; Bolink H. J. Flexible high efficiency perovskite solar cells. Energy Environ. Sci. 2014, 7, 994–997. 10.1039/c3ee43619e. [DOI] [Google Scholar]
  4. Zhou H.; Chen Q.; Li G.; Luo S.; Song T. B.; Duan H. S.; Hong Z.; You J.; Liu Y.; Yang Y. Interface engineering of highly efficient perovskite solar cells. Science 2014, 345, 542–546. 10.1126/science.1254050. [DOI] [PubMed] [Google Scholar]
  5. Safdari M.; Fischer A.; Xu B.; Kloo L.; Gardner J. M. Structure and function relationships in alkylammonium lead (ii) iodide solar cells. J. Mater. Chem. A 2015, 3, 9201–9207. 10.1039/C4TA06174H. [DOI] [Google Scholar]
  6. National Renewable Energy Laboratory, Best Research-cell Efficiency Chart, 2021, https://www.nrel.gov/pv/cell-efficiency.html (accessed Seven 2021).
  7. Conings B.; Drijkoningen J.; Gauquelin N.; Babayigit A.; D’Haen J.; D’Olieslaeger L.; Ethirajan A.; Verbeeck J.; Manca J.; Mosconi E.; Angelis F. D.; Boyen H. G. Intrinsic thermal instability of methylammonium lead trihalide perovskite. Adv. Energy Mater. 2015, 5, 1500477 10.1002/aenm.201500477. [DOI] [Google Scholar]
  8. Xing J.; Liu X. F.; Zhang Q.; Ha S. T.; Yuan Y. W.; Shen C.; Sum T. C.; Xiong Q. Vapor phase synthesis of organometal halide perovskite nanowires for tunable room-temperature nanolasers. Nano Lett. 2015, 15, 4571–4577. 10.1021/acs.nanolett.5b01166. [DOI] [PubMed] [Google Scholar]
  9. Dai J.; Zheng H.; Zhu C.; Lu J.; Xu C. Comparative investigation on temperature-dependent photoluminescence of CH3NH3PbBr3 and CH(NH2)2PbBr3 microstructures. J. Mater. Chem. C 2016, 4, 4408–4413. 10.1039/C6TC00563B. [DOI] [Google Scholar]
  10. Park B. W.; Seok S. I. Intrinsic Instability of Inorganic–Organic Hybrid Halide Perovskite Materials. Adv. Mater. 2019, 31, 1805337 10.1002/adma.201805337. [DOI] [PubMed] [Google Scholar]
  11. Zhao Y.; Zhu K. Optical bleaching of perovskite (CH3NH3)PbI3 through room-temperature phase transformation induced by ammonia. Chem. Commun. 2014, 50, 1605–1607. 10.1039/c3cc48522f. [DOI] [PubMed] [Google Scholar]
  12. Bao C.; Yang J.; Zhu W.; Zhou X.; Gao H.; Li F.; Fu G.; Yu T.; Zou Z. A resistance change effect in perovskite CH3NH3PbI3 films induced by ammonia. Chem. Commun. 2015, 51, 15426–15429. 10.1039/C5CC06060E. [DOI] [PubMed] [Google Scholar]
  13. Stoeckel M. A.; Gobbi M.; Bonacchi S.; Liscio F.; Ferlauto L.; Orgiu E.; Samori P. Reversible, fast, and wide-range oxygen sensor based on nanostructured organometal halide perovskite. Adv. Mater. 2017, 29, 1702469 10.1002/adma.201702469. [DOI] [PubMed] [Google Scholar]
  14. Kakavelakis G.; Gagaoudakis E.; Petridis K.; Petromichelaki V.; Binas V.; Kiriakidis G.; Kymakis E. Solution processed CH3NH3PbI3–xClx perovskite based self-powered ozone sensing element operated at room temperature. ACS Sens. 2018, 3, 135–142. 10.1021/acssensors.7b00761. [DOI] [PubMed] [Google Scholar]
  15. Gupta N.; Nanda O.; Grover R.; Saxena K. A new inorganic-organic hybrid halide perovskite thin film based ammonia sensor. Org. Electron. 2018, 58, 202–206. 10.1016/j.orgel.2018.04.015. [DOI] [Google Scholar]
  16. Jiao W.; He J.; Zhang L. Synthesis and high ammonia gas sensitivity of (CH3NH3) PbBr3–xIx perovskite thin film at room temperature. Sens. Actuators, B 2020, 309, 127786 10.1016/j.snb.2020.127786. [DOI] [Google Scholar]
  17. Fu X.; Jiao S.; Dong N.; Lian G.; Zhao T.; Lv S.; Wang Q.; Cui D. A CH3NH3PbI3 film for a room-temperature NO2 gas sensor with quick response and high selectivity. RSC Adv. 2018, 8, 390–395. 10.1039/C7RA11149E. [DOI] [Google Scholar]
  18. Ren K.; Huang L.; Yue S.; Lu S.; Liu K.; Azam M.; Wang Z.; Wei Z.; Qu S.; Wang Z. Turning a disadvantage into an advantage: synthesizing high-quality organometallic halide perovskite nanosheet arrays for humidity sensors. J. Mater. Chem. C 2017, 5, 2504–2508. 10.1039/C6TC05165K. [DOI] [Google Scholar]
  19. Ganose A. M.; Savory C. N.; Scanlon D. O. (CH3NH3)2Pb(SCN)2I2: A more stable structural motif for hybrid halide photovoltaics?. J. Phys. Chem. Lett. 2015, 6, 4594–4598. 10.1021/acs.jpclett.5b02177. [DOI] [PubMed] [Google Scholar]
  20. Zhang B.; Zhou S. J.; Tong L.; Liao Y. J.; Yi J. X.; Qi Y.; Yao J. X. Large scale quantum dynamics investigations on the sensing mechanism of H2O, acetone, NO2 and O3 adsorption on the (MA)2Pb(SCN)2I2 surface. Phys. Chem. Chem. Phys. 2019, 21, 21223–21235. 10.1039/C9CP02703C. [DOI] [PubMed] [Google Scholar]
  21. Tong L.; Zhang B.; Wang X. G.; Liao Y. J.; Yang J. Q. Quantum dynamics simulations on the adsorption mechanism of reducing and oxidizing gases on the CH3NH3PbI3 surface. Adv. Theory Simul. 2020, 3, 2000024 10.1002/adts.202000024. [DOI] [Google Scholar]
  22. Li C. H.; Tsai C. C.; Liao M. Y.; Su Y. A.; Lin S. T.; Chueh C. C. Stable, color-tunable 2D SCN-based perovskites: revealing the critical influence of an asymmetric pseudo-halide on constituent ions. Nanoscale 2019, 11, 2608–2616. 10.1039/C8NR08014C. [DOI] [PubMed] [Google Scholar]
  23. Chen H.; Zhang M.; Bo R.; Barugkin C.; Zheng J.; Ma Q.; Huang S.; Ho-Baillie A. W. Y.; Catchpole K. R.; Tricoli A. Superior self-powered room-temperature chemical sensing with light-activated inorganic halides perovskites. Small 2018, 14, 1702571 10.1002/smll.201702571. [DOI] [PubMed] [Google Scholar]
  24. Wu S.; Fan Z.; Wang W.; Fan H.; Mei Z.; Sun D.; Cheng X.; Zhao X.; Tian Y. Microfabricable ratiometric gaseous oxygen sensors based on inorganic perovskite nanocrystals and PtTFPP. Sens. Actuators, B 2018, 271, 104–109. 10.1016/j.snb.2018.05.074. [DOI] [Google Scholar]
  25. Yamazoe N.; Sakai G.; Shimanoe K. Oxide semiconductor gas sensors. Catal. Surv. Asia 2003, 7, 63–75. 10.1023/A:1023436725457. [DOI] [Google Scholar]
  26. Kaewmaraya T.; Ngamwongwan L.; Moontragoon P.; Jarernboon W.; Singh D.; Ahuja R.; Karton A.; Hussain T. Novel green phosphorene as a superior chemical gas sensing material. J. Hazard. Mater. 2021, 401, 123340 10.1016/j.jhazmat.2020.123340. [DOI] [PubMed] [Google Scholar]
  27. Hussain T.; Panigrahi P.; Ahuja R. Sensing propensity of a defected graphane sheet towards CO, H2O and NO2. Nanotechnology 2014, 25, 325501 10.1088/0957-4484/25/32/325501. [DOI] [PubMed] [Google Scholar]
  28. Pannopard P.; Khongpracha P.; Probst M.; Limtrakul J. Gas sensing properties of platinum derivatives of single-walled carbon nanotubes: A DFT analysis. J. Mol. Graphics Modell. 2009, 28, 62. 10.1016/j.jmgm.2009.04.005. [DOI] [PubMed] [Google Scholar]
  29. Lee G. Y.; Yang M. Y.; Kim D. H.; Lim J.; Byun J.; Choi D. S.; Lee H. J.; Nam Y. S.; Kim I.; Kim S. O. Nitrogen-Dopant-Induced Organic-Inorganic Hybrid Perovskite Crystal Growth on Carbon Nanotubes. Adv. Funct. Mater. 2019, 29, 1902489 10.1002/adfm.201902489. [DOI] [Google Scholar]
  30. Kim S. J.; Park Y. J.; Ra E. J.; Kim K. K.; An K. H.; Lee Y. H.; et al. Defect-induced loading of Pt nanoparticles on carbon nanotubes. Appl. Phys. Lett. 2007, 90, 023114 10.1063/1.2430993. [DOI] [Google Scholar]
  31. Goldoni A.; Larciprete R.; Petaccia L.; Lizzit S. Single-wall carbon nanotube interaction with gases: sample contaminants and environmental monitoring. J. Am. Chem. Soc. 2003, 125, 11329–11333. 10.1021/ja034898e. [DOI] [PubMed] [Google Scholar]
  32. Collins P. G.; Bradley K.; Ishigami M.; Zettl A. Extreme oxygen sensitivity of electronic properties of carbon nanotubes. Science 2000, 287, 1801–1804. 10.1126/science.287.5459.1801. [DOI] [PubMed] [Google Scholar]
  33. Peng S.; Cho K. Ab initio study of doped carbon nanotube sensors. Nano Lett. 2003, 3, 513–517. 10.1021/nl034064u. [DOI] [PubMed] [Google Scholar]
  34. Kim M. C.; Ahn N.; Lim E.; Jin Y. U.; Pikhitsa P. V.; Heo J.; Kim S. K.; Jung H. S.; Choi M. Degradation of CH3NH3PbI3 perovskite materials by localized charges and its polarity dependency. J. Mater. Chem. A 2019, 7, 12075–12085. 10.1039/C9TA03180D. [DOI] [Google Scholar]
  35. Mosconi E.; Azpiroz J. M.; Angelis F. D. Ab Initio Molecular Dynamics Simulations of Methylammonium Lead Iodide Perovskite Degradation by Water. Chem. Mater. 2015, 27, 4885–4892. 10.1021/acs.chemmater.5b01991. [DOI] [Google Scholar]
  36. Zhang L.; Yu F.; Li Q.; Su J.; Li J.; Li M. Understanding interactions between halide perovskite surfaces and atmospheric/VOC gas molecules: an ab initio investigation. J. Phys. D: Appl. Phys. 2018, 51, 315302 10.1088/1361-6463/aace7e. [DOI] [Google Scholar]
  37. Zhang L.; Ju M. G.; Liang W. The effect of moisture on the structures and properties of lead halide perovskites: A first-principles theoretical investigation. Phys. Chem. Chem. Phys. 2016, 18, 23174–23183. 10.1039/C6CP01994C. [DOI] [PubMed] [Google Scholar]
  38. Long R.; Fang W.; Prezhdo O. V. Moderate humidity delays electron-hole recombination in hybrid organic-inorganic perovskites: Time-domain ab initio simulations rationalize experiments. J. Phys. Chem. Lett. 2016, 7, 3215–3222. 10.1021/acs.jpclett.6b01412. [DOI] [PubMed] [Google Scholar]
  39. Zhang L.; Sit P. H. L. Ab initio static and dynamic study of CH3NH3PbI3 degradation in the presence of water, hydroxyl radicals, and hydroxide ions. RSC Adv. 2016, 6, 76938–76947. 10.1039/C6RA12781A. [DOI] [Google Scholar]
  40. Zhang B.; Liao Y. J.; Tong L.; Yang Y. Q.; Wang X. G. Ion migration in Br-doped MAPbI3 and its inhibition mechanisms investigated via quantum dynamics simulations. Phys. Chem. Chem. Phys. 2020, 22, 7778–7786. 10.1039/D0CP00866D. [DOI] [PubMed] [Google Scholar]
  41. Wells A. F.Structural Inorganic Chemistry; Oxford University Press: Oxford, 2012. [Google Scholar]
  42. Geiger D. K.; Parsons D. E.; Zick P. L. Crystal structures of three lead (II) acetate-bridged diaminobenzene coordination polymers. Acta Crystallogr., Sect. E: Struct. Rep. Online 2014, 70, 566–572. 10.1107/S1600536814025380. [DOI] [PMC free article] [PubMed] [Google Scholar]
  43. Pauling L.; Kamb B.. Linus Pauling: Selected Scientific Papers; World Scientific: Singapore, 2001. [Google Scholar]
  44. Ball J. M.; Lee M. M.; Hey A.; Snaith H. J. Low-temperature processed meso-superstructured to thin-film perovskite solar cells. Energy Environ. Sci. 2013, 6, 1739–1743. 10.1039/c3ee40810h. [DOI] [Google Scholar]
  45. Giorgi G.; Fujisawa J. I.; Segawa H.; Yamashita H. Cation role in structural and electronic properties of 3D organic-inorganic halide perovskites: A DFT analysis. J. Phys. Chem. C 2014, 118, 12176–12183. 10.1021/jp504479c. [DOI] [Google Scholar]
  46. Kresse G.; Furthmüller J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 1996, 6, 15–50. 10.1016/0927-0256(96)00008-0. [DOI] [PubMed] [Google Scholar]
  47. Daub M.; Hillebrecht H. Synthesis, Single-Crystal Structure and Characterization of (CH3NH3)2Pb(SCN)2I2. Angew. Chem., Int. Ed. 2015, 54, 11016–11017. 10.1002/anie.201506449. [DOI] [PubMed] [Google Scholar]
  48. The original crystal structure of (CH3NH3)2Pb(SCN)2I2 has been rotated 90 degrees counterclockwise around the B axis to keep exposed adsorption surface consistent with that of MAPbI3 in one of our previous work. The built structure of Cs2Pb(SCN)2Br2 in the current work is based on the rotated (CH3NH3)2Pb(SCN)2I2 frame, the surface for adsorption is, therefore, (0 0 1).
  49. Car R.; Parrinello M. Unified approach for molecular dynamics and density-functional theory. Phys. Rev. Lett. 1985, 55, 2471–2474. 10.1103/PhysRevLett.55.2471. [DOI] [PubMed] [Google Scholar]
  50. Giannozzi P.; Baroni S.; Bonini N.; Calandra M.; Car R.; Cavazzoni C.; Ceresoli D.; Chiarotti G. L.; Cococcioni M.; Dabo I.; et al. QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials. J. Phys.: Condens. Matter 2009, 21, 395502 10.1088/0953-8984/21/39/395502. [DOI] [PubMed] [Google Scholar]
  51. Laasonen K.; Pasquarello A.; Car R.; Lee C.; Vanderbilt D. Car-Parrinello molecular dynamics with Vanderbilt ultrasoft pseudopotentials. Phys. Rev. B 1993, 47, 10142. 10.1103/PhysRevB.47.10142. [DOI] [PubMed] [Google Scholar]
  52. Perdew J. P.; Burke K.; Ernzerhof M. D. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett. 1996, 77, 3865. 10.1103/PhysRevLett.77.3865. [DOI] [PubMed] [Google Scholar]
  53. Shuichi N. Constant temperature molecular dynamics methods. Prog. Theor. Phys. Suppl. 1991, 103, 1–46. 10.1143/PTPS.103.1. [DOI] [Google Scholar]
  54. Blöchl P. E. Projected augmented-wave method. Phys. Rev. B 1994, 50, 17953. 10.1103/PhysRevB.50.17953. [DOI] [PubMed] [Google Scholar]
  55. Neese F. Efficient and accurate approximations to the molecular spin-orbit coupling operator and their use in molecular g-tensor calculations. J. Chem. Phys. 2005, 122, 034107 10.1063/1.1829047. [DOI] [PubMed] [Google Scholar]
  56. Even J.; Pedesseau L.; Jancu J. M.; Katan C. Importance of Spin-Orbit Coupling in Hybrid Organic/Inorganic Perovskites for Photovoltaic Applications. J. Phys. Chem. Lett. 2013, 4, 2999–3005. 10.1021/jz401532q. [DOI] [Google Scholar]
  57. Grimme S.; Antony J.; Ehrlich S.; Krieg H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 2010, 132, 154104 10.1063/1.3382344. [DOI] [PubMed] [Google Scholar]
  58. Sanville E.; Kenny S. D.; Smith R.; Henkelman G. Improved grid-based algorithm for Bader charge allocation. J. Comput. Chem. 2007, 28, 899–908. 10.1002/jcc.20575. [DOI] [PubMed] [Google Scholar]
  59. Tang W.; Sanville E.; Henkelman G. A grid-based Bader analysis algorithm without lattice bias. J. Phys.: Condens. Matter 2009, 21, 084204 10.1088/0953-8984/21/8/084204. [DOI] [PubMed] [Google Scholar]

Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Supplementary Materials

ao1c03952_si_001.pdf (937.9KB, pdf)

Articles from ACS Omega are provided here courtesy of American Chemical Society

RESOURCES