Dongxu Zhu1,2, Juliette Zito2,3, Valerio Pinchetti4, Zhiya Dang2, Andrea Olivati4, Lea Pasquale2, Aiwei Tang1, Matteo L Zaffalon4, Francesco Meinardi4, Ivan Infante2,5, Luca De Trizio2, Liberato Manna2, Sergio Brovelli4. 1. Department of Chemistry, School of Science, Beijing JiaoTong University, Beijing 100044, China. 2. Nanochemistry Department and Materials Characterization Facility, Istituto Italiano di Tecnologia, Via Morego 30, 16163 Genova, Italy. 3. Dipartimento di Chimica e Chimica Industriale, Università di Genova, 16146 Genova, Italy. 4. Dipartimento di Scienza dei Materiali, Universitá degli Studi di Milano-Bicocca, via R. Cozzi 55, 20125 Milano, Italy. 5. Department of Theoretical Chemistry, Vrije Universiteit Amsterdam, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands.
Abstract
We devised a hot-injection synthesis to prepare colloidal double-perovskite Cs2NaBiCl6 nanocrystals (NCs). We also examined the effects of replacing Na+ with Ag+ cations by preparing and characterizing Cs2Na1-x Ag x BiCl6 alloy NCs with x ranging from 0 to 1. Whereas Cs2NaBiCl6 NCs were not emissive, Cs2Na1-x Ag x BiCl6 NCs featured a broad photoluminescence band at ∼690 nm, Stokes-shifted from the respective absorption by ≥1.5 eV. The emission efficiency was maximized for low Ag+ amounts, reaching ∼3% for the Cs2Na0.95Ag0.05BiCl6 composition. Density functional theory calculations coupled with spectroscopic investigations revealed that Cs2Na1-x Ag x BiCl6 NCs are characterized by a complex photophysics stemming from the interplay of (i) radiative recombination via trapped excitons localized in spatially connected AgCl6-BiCl6 octahedra; (ii) surface traps, located on undercoordinated surface Bi centers, behaving as phonon-assisted nonradiative decay channels; and (iii) a thermal equilibrium between trapping and detrapping processes. These results offer insights into developing double-perovskite NCs with enhanced optoelectronic efficiency.
We devised a hot-injection synthesis to prepare colloidal double-perovskiteCs2NaBiCl6 nanocrystals (NCs). We also examined the effects of replacing Na+ with Ag+ cations by preparing and characterizing Cs2Na1-x Ag x BiCl6 alloy NCs with x ranging from 0 to 1. Whereas Cs2NaBiCl6 NCs were not emissive, Cs2Na1-x Ag x BiCl6 NCs featured a broad photoluminescence band at ∼690 nm, Stokes-shifted from the respective absorption by ≥1.5 eV. The emission efficiency was maximized for low Ag+ amounts, reaching ∼3% for the Cs2Na0.95Ag0.05BiCl6 composition. Density functional theory calculations coupled with spectroscopic investigations revealed that Cs2Na1-x Ag x BiCl6 NCs are characterized by a complex photophysics stemming from the interplay of (i) radiative recombination via trapped excitons localized in spatially connected AgCl6-BiCl6 octahedra; (ii) surface traps, located on undercoordinated surface Bi centers, behaving as phonon-assisted nonradiative decay channels; and (iii) a thermal equilibrium between trapping and detrapping processes. These results offer insights into developing double-perovskite NCs with enhanced optoelectronic efficiency.
Nanocrystals (NCs) of lead halideperovskites have attracted significant interest in recent years and
are promising candidate materials for various optoelectronic applications.[1−7] However, given the intrinsic toxicity of lead, which constrains
the use of such materials in commercial devices, the scientific community
is now seeking for alternative stable lead-free metal halideperovskite
compounds with comparable optical properties.[8,9] The
most promising candidates in this context are the so-called doubleperovskites (DPs), also termed elpasolites, having
the general formula A2B+B3+X6, characterized by a 3D perovskite structure made of alternating
[B+X6] and [B3+X6] corner-sharing
octahedra with A+ ions occupying the voids in between.[8−11] The different combinations of possible A+, B+, and B3+ ions create a richness of structures, making
the elpasolites family particularly interesting from
a chemistry and a materials science point of view,[10] as well as for technological applications in photovoltaics,[12−14] artificial lighting, and photon management.[15]In the last couple of years, various DP materials featuring
interesting
optical properties have been synthesized at the nanoscale, comprising
Cs2AgBiX6 (X = Cl, Br, I), Cs2AgInCl6, Cs2NaInCl6, Cs2NaBiCl6, and Cs2AgSbX6 NCs (X = Cl, Br).[16−29] Unluckily, all these systems feature a weak PL emission because
they have either an indirect band gap (Cs2AgBiX6, Cs2AgSbX6) or a direct band gap characterized
by a parity-forbidden transition (Cs2AgInCl6) or by a parity-allowed transition albeit with a weak oscillator
strength (Cs2NaInX6 and Cs2NaBiX6).[9−11,24,30−32] As a result, the interplay between radiative and
nonradiative processes makes the excitonic photophysics of these materials
significantly more complex than for the case of lead halideperovskites.
This calls for specific multidisciplinary investigations to trace
rational guidelines for their optimization. In turn, the control and
the design of highly performing DP materials has great technological
implications, as it will enable us to reap the benefits of their intrinsically
broad and largely Stokes-shifted luminescence that makes them particularly
appealing for heavy-metal-free, single-component white light-emitting
diodes[15] and for transparent luminescent
solar concentrators for building-integrated PV applications.[33]In order to enhance the photoluminescence
(PL) of these compounds,
different strategies have been already pursued which involved doping,
alloying, or both. Doping Cs2AgInCl6 NCs with
either Mn2+ or Bi3+ ions was observed to yield
an orange emission with PL efficiency (ΦPL) of ∼16%
and 11%, respectively.[18,23] Different groups reported the
doping of Cs2AgInCl6 NCs with rare earth (RE)
ions, which led to a near-infrared (NIR) emission at ∼1000
nm with Yb3+ and ∼1537 nm with Er3+.[19,34] Chen et al. further extended Yb3+ and Mn2+ doping to Cs2AgBiX6 (X = Cl, Br) NCs.[17] On the other hand, alloying strategies, mainly
involving Bi3+, In3+, and Sb3+ as
B3+ cations and Ag+ and Na+ as B+ cations, were exploited to induce an indirect-to-direct band
gap transition in DPs with a consequent increase of their PL quantum
yield.[21,26,29,31,35−38]For example, Luo et al. showed that simultaneous doping and
alloying
can boost the emission of Cs2AgInCl6: the use
of a minimal amount of Bi3+ dopants (1%) together with
Na+ cations resulted in Bi-doped Cs2Ag1–NaInCl6 powders
with a ΦPL as high as 86% for x =
0.4.[15] Similarly, our group prepared Bi-doped
Cs2Ag1–NaInCl6NCs with a bright and broad yellow
emission which was maximum for x = 0.6 (ΦPL = 22%).[16] Our density functional
theory (DFT) calculations revealed that the presence of both Bi3+ and Ag+ cations was essential to optimize the
emission of the “host” Cs2NaInCl6 NCs: the introduction of Bi3+ dopants and the substitution
of a low percentage of Na+ with Ag+ ions led
to the formation of a localized BiCl6 → AgCl6 transition. Note that, differently from the common way of
describing these materials, we consider the system with Na+ cations as the reference case, because it presents a wide band gap,
with the Na+ ions acting as electronic barriers (vide infra).Motivated by such results, and inspired
by the recent paper by
Lamba et al.,[30] we decided to systematically
investigate the effects of replacing Na+ with Ag+ ions inside Cs2NaBiCl6 NCs. When the Na/Ag
precursor ratio was tuned, a series of Cs2Na1–AgBiCl6 NCs
were synthesized with an average size around 10 nm and a good size
distribution (Scheme ). These NCs had a broad PL emission around 1.85 eV, which was maximized
(∼3% at room temperature) when replacing only a low percentage
of Na+ cations with Ag+, that is, for the Cs2Na0.95Ag0.05BiCl6 composition.
An in-depth spectroscopic and theoretical investigation of such NC
system as a function of the Ag+ content and temperature
revealed a complex photophysics, where the optical efficiency of the
NCs results from the interplay between (i) a radiative recombination
of trapped excitons (TE) localized in connected AgCl6–BiCl6 octahedra, (ii) their phonon-assisted nonradiative decay,
and (iii) a thermal equilibrium between trapping and detrapping of
electrons in an intragap defect. This defect is likely associated
with surface traps located on undercoordinated Bi centers, whose energy
depends on the Na+ content that ultimately determines the
fraction of emissive NCs in the ensemble. Altogether, these processes
result in a markedly different temperature dependence of the optical
properties of Cs2Na1–AgBiCl6 NCs at various Ag+ content values, whose proper understanding offers useful
materials design guidelines to maximize emission efficiency.
Scheme 1
Colloidal
Synthesis of Cs2Na1–AgInCl6 NCs
Cs2Na1–AgBiCl6 NCs were synthesized
by a colloidal
hot-injection approach in which metal carboxylates and carbonates
were reacted with benzoyl chloride to trigger the nucleation and growth
of the NCs (Scheme ). Cs2Na1–AgBiCl6 NCs with different compositions
(x = 0, 0.05, 0.1, 0.2, 0.4, 0.6, 0.8, 1) were obtained
by adjusting the Na/Ag metal precursors ratio, as revealed by both
our scanning electron microscope-energy dispersive X-ray spectroscopy
(SEM-EDS) and X-ray photoelectron spectroscopy (XPS) analyses (see
Experimental Section, Table S1, and Figures S1 and S2 of the Supporting Information).The X-ray diffraction
(XRD) patterns of our NC products showed
that they all crystallized in the double-perovskite crystal structure
with XRD peaks positioned between those of bulk Cs2AgBiCl6 (ICSD number 291598) and Cs2NaBiCl6 (ICSD number 2738), with no presence of secondary phases (Figure a). Upon closer inspection,
when the Ag+ content inside the Cs2Na1–AgBiCl6 NCs
is increased the XRD peaks shifted toward higher 2θ angles,
with pure Cs2AgBiCl6 NCs having lattice parameter
of 10.78 Å and pure Cs2NaBiCl6 NCs of 10.84
Å (Figure b).
These results indicated the formation of alloyed NCs when working
at intermediate Na/Ag compositions. The high-resolution (HR) transmission
elecectron microscopy (TEM) characterization of our samples evidenced
that the NCs were monocrystalline and exhibited the expected DP structure
(Figure c–h).
The scanning TEM-EDS (STEM-EDS) elemental mapping further supported
the formation of alloy NCs in which the different elements were uniformly
distributed (Figure i).
Figure 1
(a) XRD patterns of Cs2Na1–AgBiCl6 NCs (x = 0, 0.05, 0.1, 0.2, 0.4, 0.6, 0.8, 1) together with the
bulk reflections of Cs2AgBiCl6 (ICSD number
291598). (b) Magnification of the XRD patterns in the 30°–36°
range. The black bars correspond to the bulk Cs2AgBiCl6 (ICSD number 291598) reflection, while the gray bars correspond
to bulk Cs2NaBiCl6 (ICSD number 2738). (c–f)
TEM images of Cs2Na1–AgBiCl6 NCs. (g) High-resolution
TEM image of a Cs2Na0.95Ag0.05BiCl6 NC and (h) the corresponding Fast Fourier transform (FFT).
(i) STEM-EDS elemental maps of (Cs2Na0.95Ag0.05BiCl6).
(a) XRD patterns of Cs2Na1–AgBiCl6 NCs (x = 0, 0.05, 0.1, 0.2, 0.4, 0.6, 0.8, 1) together with the
bulk reflections of Cs2AgBiCl6 (ICSD number
291598). (b) Magnification of the XRD patterns in the 30°–36°
range. The black bars correspond to the bulk Cs2AgBiCl6 (ICSD number 291598) reflection, while the gray bars correspond
to bulk Cs2NaBiCl6 (ICSD number 2738). (c–f)
TEM images of Cs2Na1–AgBiCl6 NCs. (g) High-resolution
TEM image of a Cs2Na0.95Ag0.05BiCl6 NC and (h) the corresponding Fast Fourier transform (FFT).
(i) STEM-EDS elemental maps of (Cs2Na0.95Ag0.05BiCl6).Theoretical Calculations. To provide a comprehensive
picture of the photophysics of Cs2Na1–AgBiCl6 NCs,
including the effect of both Na+ and Ag+ ions,
we conducted a multilevel investigation by DFT calculations addressing
the main structural and electronic features of these NCs, as well
as nonradiative processes associated with structural defects on their
surfaces. Initially, we focused on investigating atomistically the
mechanism of photoemission, thus paving the way for our spectroscopic
measurements of the next section. First, we computed the electronic
structure of the cubic Cs2NaBiCl6 system which,
as calculated by Meng et al.,[32] is known
to have a direct band gap with a parity-allowed transition. As illustrated
in Figure a, at the
valence band maximum (VBM) the Cs2NaBiCl6 states
are localized on the 3p orbitals of chlorine ions while at the conduction
band minimum (CBM) the edge states are mostly localized on the 6p
orbitals of Bi ions, as expected. Because of the high ionicity of
the bond, the edge-to-edge transition for this system is characterized
by a poor spatial overlap, thus accounting for a weak transition dipole
matrix element (this is also reported by others on similar systems).[32] As a result, the oscillator strength for this
lowest band transition is negligible.
Figure 2
(a) Electronic structure of the Cs2NaBiCl6, Cs2NaBiCl6 doped
with 1 Ag+ ion,
and Cs2AgBiCl6 2 × 2 × 2 supercells
computed at the DFT/PBE level of theory on a large 2 × 2 ×
2 supercell at the Γ point. Each orbital is represented in real
space and decomposed according to each atom type. (b) CBM and VBM
orbital plots in real space. The undoped materials present delocalized
electron and hole wave functions, while the Ag-doped Cs2NaBiCl6 system exhibits localization of the wave function.
(a) Electronic structure of the Cs2NaBiCl6, Cs2NaBiCl6 doped
with 1 Ag+ ion,
and Cs2AgBiCl6 2 × 2 × 2 supercells
computed at the DFT/PBE level of theory on a large 2 × 2 ×
2 supercell at the Γ point. Each orbital is represented in real
space and decomposed according to each atom type. (b) CBM and VBM
orbital plots in real space. The undoped materials present delocalized
electron and hole wave functions, while the Ag-doped Cs2NaBiCl6 system exhibits localization of the wave function.By introduction of one Ag+ cation (in
substitution of
one Na+) at the center of the Cs2NaBiCl6 supercell, two main changes were observed in the electronic
structure: The first one involved the VB edge, with the formation
of two topmost (quasi-degenerated) states composed of a heavily mixed
configuration of Ag+ 4d orbitals (4d and 4d, respectively) and Cl– 3p orbitals that interact in a σ* antibonding fashion. As
illustrated in Figure b, the two VB edge states become mainly localized at the AgCl6 octahedron, with only a small contribution of the neighboring
BiCl6 octahedra. Such spatial confinement of the hole wave
function at the VB edge is ensured by the electropositive Na+ ions which behave as electronic barriers around the Ag+ center. Conversely, in pure Cs2NaBiCl6 the
hole wave function is delocalized over the whole supercell. The second
important change is the lowering in energy of the CBM state due to
the contribution of the 5s orbital of Ag+. In the stabilized
CB edge state, both the Ag+ 5s orbital and one of the 6p
orbitals of the neighboring Bi3+ interact in a σ*
antibonding fashion with the directional 3p orbital of the Cl– ions that connect them spatially. This orbital mixing
leads to a partial delocalization of the electron wave function over
the six BiCl6 octahedra surrounding the Ag+ center
at the CBM. However, as revealed by the orbital plot in Figure b, a further delocalization
of the wave function in the supercell is again prevented by the presence
of Na+ ions. Therefore, in a Na-rich Cs2Na1–AgBiCl6 system, Ag+ ions act as centers that are able
to localize both holes and electrons at the band edges, thus suggesting
the presence of a sizable TE emission, which is compatible with the
steady-state and time-resolved PL spectroscopic data shown in the
next section.Because these double-perovskite systems attain
only moderate PL
efficiency (∼3% at room temperature), we can speculate, also
because of the experimental evidence presented in the next sections,
that nonradiative processes take place at the surface of these NCs.
Deep trap states can indeed emerge from an incomplete surface passivation
after the synthesis, which leads to the formation of undercoordinated
(dangling) ions at the surface.[35,39−41] To probe this effect, we performed DFT calculations by preparing
cubic DP NCs model systems with a Cs324(Ag+Na)108Bi108Cl756 stoichiometry. This corresponds
to a cube with a side of about 3.0 nm, which is both affordable computationally
and relevant from an experimental standpoint (see also Computational Methodology in the Supporting Information
for further details). Four different Cs2Na1–AgBiCl6 NC
models with representative compositions were constructed, featuring x = 0, 0.05, 0.80, and 1, respectively. A survey of their
electronic structure is presented in Figure S4. Notably, when their surface was fully passivated, their electronic
structures presented either no traps or only shallow ones. On the
other hand, when the surface was only partially passivated, then traps
began to emerge. To further study this aspect, we analyzed the detachment
of surface ions from the outermost surface. This situation was simulated
by displacing a neutral CsCl ion pair from one (100) facet in all
four NCs models, thus modifying the coordination numbers of some surface
atoms. DFT calculations showed that, even after the structural relaxation,
a deep trap state localized on a Bi penta-coordinated atom was formed
(Figure a). The orbital
density plot of this molecular orbital (Figure b) shows that for all four NC compositions,
such a midgap state appeared and was primarily composed of a single
Bi 6p atomic orbital localized on the under-coordinated Bi.
Figure 3
(a) Electronic
structures of 3 nm Cs2Na1–AgBiCl6 NCs
models featuring x = 0, x = 0.05, x = 0.80, and x = 1 after the removal of
one CsCl ion pair from the surface. Each line corresponds to a molecular
orbital (MO). Each color indicates the contribution of a type of atom
for a given MO. The black dotted circles evidence trap states below
the CB for all the systems. The position of these electron trap states
depends on the Na/Ag ratio of the NC. (b) Lowest unoccupied molecular
orbitals (LUMO) plots. The electron wave function localization is
more pronounced in the two Na-rich systems (x = 0
and x = 0.05) than in the two Ag-rich ones (x = 0.80 and x = 1).
(a) Electronic
structures of 3 nm Cs2Na1–AgBiCl6 NCs
models featuring x = 0, x = 0.05, x = 0.80, and x = 1 after the removal of
one CsCl ion pair from the surface. Each line corresponds to a molecular
orbital (MO). Each color indicates the contribution of a type of atom
for a given MO. The black dotted circles evidence trap states below
the CB for all the systems. The position of these electron trap states
depends on the Na/Ag ratio of the NC. (b) Lowest unoccupied molecular
orbitals (LUMO) plots. The electron wave function localization is
more pronounced in the two Na-rich systems (x = 0
and x = 0.05) than in the two Ag-rich ones (x = 0.80 and x = 1).This unoccupied MO within the band gap is therefore likely to behave
as an electron trap. In Na-rich NCs, this state is very deep, because
the surrounding Na+ ions confine it on the Bi 6p orbital
only. Conversely, in Ag-rich systems the Bi 5c ion can be surrounded
by AgCl6 octahedra, which ensure a partial delocalization
of the electron wave function. As a consequence, the energetic level
associated to the detrimental state is closer to the CB edge and the
trap is less deep (i.e., it is shallower). In summary, the presence
of Na+ in Cs2Na1–AgBiCl6 DP NCs has
the effect of isolating electronically the BiCl6 octahedra.
On the one hand, this confinement is essential to obtain a TE that
can radiatively recombine at the Ag+ center. On the other
hand, the Na+ ions increase the degree of localization
of the surface trap states, making nonradiative processes more efficient.
This result, as it will be shown in the next section, is in line with
the temperature- and time-dependent PL measurements varying the Ag+ content.Optical Properties of Cs. To
investigate the implications of the substitution of Ag+ for Na+ cations in our DP NCs experimentally, we performed
side-by-side spectroscopic studies as a function of composition and
temperature. Upon increasing the fraction of Ag+ (x) from 0 to 1, the absorption peak linearly shifted from
∼3.8 to ∼3.3 eV (Figures a and S5). At intermediate
Ag+ fractions (0 < x < 1), the absorption
peak was broader than for the pure compounds (Cs2NaInCl6 and Cs2AgInCl6), as also observed in
the respective PL excitation (PLE) spectrum reported in Figure S6. All PLE spectra were well reproduced
by using a linear combination of the pure Cs2NaBiCl6 and Cs2AgBiCl6 excitation peaks, indicating
the progressive conversion of pure Cs2NaBiCl6 into Cs2AgBiCl6.
Figure 4
(a) Optical absorption
(continuous lines) and PL (dashed lines)
spectra of Cs2Na1–AgBiCl6 NCs with progressively increasing
Ag+ content (from the blue bottom curve, corresponding
to x = 0, to the red top curve, corresponding to x = 1). (b) PL quantum yield, ΦPL (empty
circles), and effective lifetime, τ (full circles), extracted
by fitting the respective PL decay traces in panel c with stretched
exponential functions. The stretching factors, β, are reported
in the inset indicating gradually larger disorder with increasing x. All measurements were conducted at room temperature.
The color scheme in all panels refers to the code in panel a.
(a) Optical absorption
(continuous lines) and PL (dashed lines)
spectra of Cs2Na1–AgBiCl6 NCs with progressively increasing
Ag+ content (from the blue bottom curve, corresponding
to x = 0, to the red top curve, corresponding to x = 1). (b) PL quantum yield, ΦPL (empty
circles), and effective lifetime, τ (full circles), extracted
by fitting the respective PL decay traces in panel c with stretched
exponential functions. The stretching factors, β, are reported
in the inset indicating gradually larger disorder with increasing x. All measurements were conducted at room temperature.
The color scheme in all panels refers to the code in panel a.Consistent with the negligible oscillator strength
computed for
Cs2NaBiCl6,[26] no
PL emission was observed from these NCs. In contrast, Cs2Na1–AgBiCl6NCs with x > 0 featured
a
broad PL band (fwhm ∼550 meV at T = 300 K)
with sub-band gap energy of ∼1.85 eV (Figures a). This, together with the red shift of
the absorption peak resulted in the progressive decrease of the Stokes
shift (ΔSS) from ∼1.9 eV for x = 0.05 to ∼1.5 eV for x = 1 (Figure S5). The near invariance of the PL position
regardless of the marked change of the band gap energy with varying x is indicative of a recombination mechanism mediated by
TEs, in agreement with the DFT predictions. Upon increasing the Ag+ content, the PL peak underwent progressive broadening (Figure S5), and the PL efficiency, ΦPL, dropped from over 3% for x = 0.05 to below
1% for x = 1 (Figure b). This is in agreement with the localization effect
of Na+ ions on the electron and hole wave functions evidenced
by the DFT study, which reduced inhomogeneous spectral broadening
and lowered the probability for nonradiative decay in defect sites.
Support to this interpretation was provided by time-resolved PL measurements
shown in Figure c,
where we report the PL decay traces of the Cs2Na1–AgBiCl6 NCs.
Consistent with a dispersion of TE local configurations inside the
NC lattice, all kinetics are well fitted by a stretched exponential
function, , with stretching factor β
slightly
decreasing from 0.5 to 0.4 with increasing x, in
agreement with the growing fwhm of the respective PL spectra. With
increasing x, the PL dynamics progressively accelerated,
with lifetime τ decreasing from ∼700 ns for x = 0.05 to τ ∼ 5 ns for x = 1. Importantly,
the resulting τ versus x trend resembled quantitatively
well the evolution of the ΦPL with the Ag+ content (Figure c). This indicates that, at room temperature, the main effect of
Na+ cations is to suppress nonradiative decay pathways
competing with the radiative recombination of TEs on a similar time
scale. Despite the beneficial shielding effect by the Na+ cations, ΦPL was below 5% also in lightly Ag-substituted
NCs (x = 0.05), which indicated that nonradiative
processes likely associated with electron trapping in Bi3+ sites and phonon-mediated decay were still dominant over radiative
recombination of the TE.In order to probe the radiative PL
decay kinetics and thereby evaluate
the effects of Ag+ substitution on the oscillator strength
of TEs, we performed time-resolved PL measurements at cryogenic temperatures.
Cooling the NCs dramatically lengthened their PL dynamics that reached
a plateau for T < 120 K (Figure S7), indicating that thermally assisted nonradiative channels
were largely suppressed. As shown in Figure a, the PL decay curves at T = 77 K were well described by stretched exponential functions similar
to the room-temperature kinetics, although with significantly larger
β-factors than at 300 K (Figure S8), indicating reduced thermal disorder. We notice that also at 77
K the β-factor was slightly lower for larger x-values, consistent with the higher structural disorder already highlighted
by the room-temperature data. The corresponding PL lifetimes were
up to 3 orders of magnitude slower than at room temperature, and the
corresponding radiative decay rates increased monotonically with increasing x (Figure b), suggesting that the addition of Ag+ cations gradually
enhanced the oscillator strength of TE transition.
Figure 5
(a) Normalized PL decay
traces of the Cs2NaAg1–InCl6 NCs at 77 K. The
fitting curves to stretched exponential
functions are shown as black lines. The respective β values
are shown in Figure S8. Inset: Enlargement
of the first 110 ns of the PL decay, highlighting the emergence of
the fast decay portion that is directly proportional to the fraction
of dark NCs, D. (b) Radiative recombination rate, k, of the PL decay traces reported in panel a as a function
of the Ag+ content. The black line is a guide for the eyes.
(c) Oscillator strength of the TE recombination pathway (CBM →
VBM transition) obtained by the DFT calculations as a function of
the number of AgCl6 octahedra surrounding a central BiCl6 octahedron in a Cs2NaBiCl6 2 ×
2× 2 supercell. In the case of 2 and 4 Ag ions, the reported
oscillator strengths are relative to the cis configurations
(see the Supporting Information for further
details). The black line is a guide for the eyes. (d) Static (η)
and dynamic (φ) brightening factors and the product of φ
× B as a function of x. The
gray shading corresponds to y-axis <1. Inset:
The term B = 1 – D representing
the fraction of emissive TEs as a function of x.
(e) Schematics of the energy diagram of the Cs2Na0.95Ag0.05InCl6 (top) and Cs2Na0.2Ag0.8InCl6 NCs (bottom). The same
color scheme applies to all panels. All measurements were conducted
using an excitation energy of 3.5 eV and a pulse frequency of 140
Hz. The color scheme in all panels refers to the code reported in Figure a.
(a) Normalized PL decay
traces of the Cs2NaAg1–InCl6 NCs at 77 K. The
fitting curves to stretched exponential
functions are shown as black lines. The respective β values
are shown in Figure S8. Inset: Enlargement
of the first 110 ns of the PL decay, highlighting the emergence of
the fast decay portion that is directly proportional to the fraction
of dark NCs, D. (b) Radiative recombination rate, k, of the PL decay traces reported in panel a as a function
of the Ag+ content. The black line is a guide for the eyes.
(c) Oscillator strength of the TE recombination pathway (CBM →
VBM transition) obtained by the DFT calculations as a function of
the number of AgCl6 octahedra surrounding a central BiCl6 octahedron in a Cs2NaBiCl6 2 ×
2× 2 supercell. In the case of 2 and 4 Ag ions, the reported
oscillator strengths are relative to the cis configurations
(see the Supporting Information for further
details). The black line is a guide for the eyes. (d) Static (η)
and dynamic (φ) brightening factors and the product of φ
× B as a function of x. The
gray shading corresponds to y-axis <1. Inset:
The term B = 1 – D representing
the fraction of emissive TEs as a function of x.
(e) Schematics of the energy diagram of the Cs2Na0.95Ag0.05InCl6 (top) and Cs2Na0.2Ag0.8InCl6 NCs (bottom). The same
color scheme applies to all panels. All measurements were conducted
using an excitation energy of 3.5 eV and a pulse frequency of 140
Hz. The color scheme in all panels refers to the code reported in Figure a.To support this hypothesis, we computed the oscillator strength
for TE transitions at the DFT/PBE level as a function of the number
of Ag+ cations surrounding a central BiCl6 octahedron
(Figure c). This was
done by gradually replacing Na+ ions with Ag+ ions around the chosen Bi3+ ion. The substitution of
Na+ ions around one octahedron centered on a Bi ion either
with 2 Ag+ or with 4 Ag+ leads to two possible
configurations, cis or trans. In
a random distribution of Na+ and Ag+ ions, the cis configuration is more plausible and is thus reported
in Figure c. The oscillator
strengths associated to the trans configurations
are reported in Figure S9 for completeness.
Overall, we observe that the oscillator strength increases at increasing
amount of Ag+ ions comparing well with the monotonic increase
of the radiative recombination rates observed experimentally (Figure b).The low-temperature
PL studies enabled us to gather deeper insights
into the mechanism of carrier trapping that was found to correlate
with the DFT-predicted role of Bi-related surface defects. Specifically,
the lengthening of the PL dynamics suggested that the ΦPL of all investigated systems was enhanced at cryogenic temperatures
with respect to T = 300 K. This behavior is quantified
by the dynamic brightening factor φ = τ77K/ τ300K reported in Figure d, which represents the relative increase
of ΦPL expected solely based on the lengthening of
the PL decay traces at low T. Interestingly, while
following a qualitatively similar trend with the Ag+ content,
φ systematically exceeded by at least 10 fold the respective
relative PL enhancement measured in continuous-wave (cw) conditions,
expressed through the static brightening factor,
η (extracted as the ratio between the PL efficiency at 77 and
300 K measured using cw excitation, Figure S10). This indicated that, at low temperature, the emission yield of
our NCs was less than 10% of the respective intrinsic value represented
by φ, suggesting that the population of emitting NC had dropped
with respect to room temperature. For x = 0.05, η
showed the minimum value of ∼0.3, indicating that for such
NCs, ΦPL was lower at T = 77 K with respect to T = 300 K, despite the respective
lifetime had significantly lengthened (Figures a).This surprising
behavior suggested that the photophysical mechanism
responsible for the optical properties of Cs2Na1–AgBiCl6 NCs
was more complex than the mere competition between radiative recombination
of TEs and their thermal-assisted nonradiative decay. This was revealed
by the analysis of the initial fast component of the low-temperature
PL decay curves shown in the inset of Figure a. At T = 77 K, all NCs
showed a resolution-limited PL drop, whose relative intensity (indicated
as D) with respect to the long-lived PL decay decreased
with increasing x. In light of the DFT study suggesting
the presence of electron-accepting sites associated to under-coordinated
surface Bi atoms, we ascribe this decay to the rapid dissociation
of TEs by nonradiative electron trapping, which rendered a fraction
of our NCs nonemissive or dark. As a result of this process, with
increasing Ag+ content, the complementary fraction of emissive
(or bright, B) NCs in the ensemble, expressed as B = 1 – D, monotonically grew, as
shown in the inset of Figure d. Consistent with this picture, by scaling the dynamic brightening
factor for the evolution of the bright NC population at low temperature
through the product φ × B, we reproduced
the x-trend of η (Figure e), including the low-T drop
of ΦPL for x = 0.05.Considering
the whole body of spectroscopic data and DFT calculations,
we model the effect of both temperature and Ag+ substitution
on the recombination of TEs according to the scheme depicted in Figure e. For any x-value, at 300 K, the radiative recombination of the TE
competes mostly with phonon-assisted nonradiative recombination likely
associated to a combination of vibrational quenching and electron
trapping in Bi-related surface defects. The latter effect is, however,
compensated by efficient thermal electron detrapping. At low temperatures,
on the other hand, the emission efficiency is determined by the interplay
between the beneficial suppression of such a temperature-assisted
nonradiative decay channel for TEs and the detrimental effect of reduced
thermal detrapping of electrons trapped in surface defects. At a given
temperature, the latter effect depends strongly on the depths of the
electron trap. Consistently, NCs with low Ag+ content showed
the largest trapping-related PL drop (hence lowest B-values), because in such NCs, electron traps associated to undercoordinated
Bi atoms were deeper in the forbidden gap. One key consequence of
this mechanism is that NCs with higher Ag+ content (showing
relatively larger B-values at T =
77 K) approach the behavior of lightly Ag-substituted NCs, featuring
shallow electron traps, upon lowering the temperature further. This
is highlighted by the evolution of the spectral and dynamic properties
of NCs featuring x = 0.05 and x =
0.8 from 300 to 3.5 K reported in Figures S11–S14 and discussed in detail in Supplementary Discussion 1. Importantly, such side-by-side experiments corroborate the
theoretical findings and show that the activation energy for electron
detrapping drops from ΔEDT = 102
meV for x = 0.05 to ΔEDT = 2 meV for x = 0.8.In summary,
we have developed a hot injection synthesis approach
to prepare Cs2NaBiCl6 NCs which we systematically
alloyed with Ag+ cations to form Cs2Na1–AgBiCl6 NCs.
While pure Cs2NaBiCl6 NCs did not exhibit any
PL emission, the incorporation of Ag+ cations, to form
Cs2Na1–AgBiCl6 NCs, led to the emergence of a broad
PL band (fwhm ≈ 550 meV) peaked at around 1.8 eV and characterized
by a large Stokes shift (ranging from ∼1.9 eV for x = 0.05 to ∼1.5 eV for x = 1). The PL efficiency
of these NCs was maximized for low amounts of Ag+ incorporated,
reaching ∼3% for x = 0.05. These optical features
were consistent with a trapped exciton emission mechanism. Indeed,
our DFT calculations indicated that in a Na-rich (hence Ag-poor) Cs2Na1–AgBiCl6 system, Ag+ ions act as centers
that are able to localize both holes and electrons at the band edges.
On the other hand, the low ΦPL for the whole batch
of systems could be ascribed to the presence of nonradiative quenching
mechanisms dominated by the presence of surface traps. In particular,
undercoordinated Bi3+ ions, which are generated from an
incomplete surface passivation after synthesis and/or washing, create
an empty electronic trapping state below the conduction band, whose
energy is modulated according to the Na/Ag ratio. The depth of such
trap states was probed at various temperatures by measuring the PL
emission efficiency, which confirmed that the trapping/detrapping
rate increased with the concentrations of Ag. In practice, the system
that shows the most efficient TE mechanism is also the one that has
efficient concomitant nonradiative pathways, thus reducing the overall
performance of the DP material. These results provide a gateway to
design new materials to maximize their optoelectronic efficiency.
Authors: Dongxu Zhu; Matteo L Zaffalon; Juliette Zito; Francesca Cova; Francesco Meinardi; Luca De Trizio; Ivan Infante; Sergio Brovelli; Liberato Manna Journal: ACS Energy Lett Date: 2021-05-27 Impact factor: 23.101