Modern functional glasses have been prepared from a wide range of precursors, combining the benefits of their isotropic disordered structures with the innate functional behavior of their atomic or molecular building blocks. The enhanced ionic conductivity of glasses compared to their crystalline counterparts has attracted considerable interest for their use in solid-state batteries. In this study, we have prepared the mixed molecular glass Ga2I3.17 and investigated the correlations between the local structure, thermal properties, and ionic conductivity. The novel glass displays a glass transition at 60 °C, and its molecular make-up consists of GaI4- tetrahedra, Ga2I62- heteroethane ions, and Ga+ cations. Neutron diffraction was employed to characterize the local structure and coordination geometries within the glass. Raman spectroscopy revealed a strongly localized nonmolecular mode in glassy Ga2I3.17, coinciding with the observation of two relaxation mechanisms below Tg in the AC admittance spectra.
Modern functional glasses have been prepared from a wide range of precursors, combining the benefits of their isotropic disordered structures with the innate functional behavior of their atomic or molecular building blocks. The enhanced ionic conductivity of glasses compared to their crystalline counterparts has attracted considerable interest for their use in solid-state batteries. In this study, we have prepared the mixed molecular glass Ga2I3.17 and investigated the correlations between the local structure, thermal properties, and ionic conductivity. The novel glass displays a glass transition at 60 °C, and its molecular make-up consists of GaI4- tetrahedra, Ga2I62- heteroethane ions, and Ga+ cations. Neutron diffraction was employed to characterize the local structure and coordination geometries within the glass. Raman spectroscopy revealed a strongly localized nonmolecular mode in glassy Ga2I3.17, coinciding with the observation of two relaxation mechanisms below Tg in the AC admittance spectra.
Glasses belong to the
earliest materials utilized and produced
by humanity and have been rediscovered as modern materials based on
diverse novel glass-forming precursors and the concomitant functional
properties.[1] Recent examples are flexible
semiconducting oxide glasses,[2] multinary
chalcogenide glasses for infrared optics and data-storage media,[3] bulk metallic glasses with superior mechanical
and magnetic properties,[4] and metal–organic
framework glasses.[5,6] Ion-conducting glasses are promising
electrolytes for the next-generation of all-solid-state batteries,
as they display isotropic behavior, absence of grain boundaries, and
often higher ionic conductivity than their ordered crystalline counterparts.[7] In addition to amorphous organic polymers, mixed
phosphate, oxide, sulfide, and halide glasses show high ionic conductivities
at ambient temperature, combined with enhanced chemical stability
and glass-forming ability.[8−10]Molecular glasses are typically
comprised of small organic molecules[11,12] and have been
investigated for applications in photolithography,
organic electronics,[13−15] and for amorphous pharmaceuticals where their improved
dissolution behavior can be exploited.[16,17] The small
molecular mass and well-defined composition make molecular glasses
attractive for the production of printed organic circuits.[18] However, low glass-transition temperatures Tg and strong tendencies for crystallization
remain the major challenges in the design of molecular glasses and
hinder long-term applications, in particular, at elevated temperatures.[19]The general design guidelines for molecular
glasses include nonplanar
molecular structures, increased molecular size, and bulky substituents,[13] as observed in a series of molecular glasses,
based on triphenylamine derivatives, tris(oligoarylenyl)amines or
tris(oligoarylenyl)boranes.[20,21] Tuning the glass-transition
temperature, long-term stability, and optical and transport properties
has been achieved by side-group substitution and variation in molecular
size but still relies often on trial-and-error.[11,22] More recent avenues to molecular glass design include the use of
atomistic simulations or machine-learning-based algorithms to predict
the properties and compositions of possible glass-forming liquids.[12,23,24] For organic electronics, interest
has shifted from one-component glasses to mixed molecular glasses,
containing two or more molecular species.[25] For applications such as organic LEDs, the combination of light-emitting
species with conductive molecules can lead to increased emission efficiency
and provides more design flexibility.[26]Contrary to the glass-forming organic liquids, inorganic oxide,
chalcogenide, or halide glasses typically feature a network structure,
characterized by the formation of strong directional bonds during
the transition from the liquid to the glassy state.[27] The presence of individual molecular units has been reported
in a few chalcogenide glasses, notably PS43– and P2S64– in ion-conducting
glasses,[10,28,29] P4Se (n = 3–4)
in nonstoichiometric P–Se glasses,[30,31] As4S4 molecules in As–S glasses,[32] as well as the analogous multinary P–As–S–Se
species.[33] Of special interest is the typically
elevated glass-transition temperature (Tg > 100 °C) in inorganic molecular glasses compared to organic
glass-forming liquids.[11,25,33]For the gallium–iodine system, the crystalline binary
compounds
Ga2I6, Ga2I4, and Ga2I3 have been reported (cf. Figure A).[34−36] The latter two are crystalline
salts comprised of Ga+ cations and GaI4– or Ga2I62– anions, respectively, which are isostructural and isoelectronic
to the above-mentioned PS43– and P2S64– anions. The initially reported
monoiodide GaI appears to correspond to the formula Ga2I3.[35,37] Besides the high-temperature
reaction of the elements, the higher iodides can be prepared by sonicating
liquid gallium metal in a solution of iodine in benzene.[38] For a 1:1 ratio of Ga/I, this yields a gray-greenish
powder, which appears to be a mixture of the above phases and has
found use as a gallium source in organic synthesis.[39,40]
Figure 1
(A)
Partial phase diagram of the gallium–iodine system adapted
from refs (37) and (42). Molecular entities in
the crystalline compounds are sketched (Ga: purple spheres, I: green
spheres), and the glass composition is indicated as a dashed orange
line. (B) DSC on glassy Ga2I3.17. Heating/cooling
curves of the air-quenched glass exhibiting a glass transition at Tg = 60 °C and onset of crystallization
at Tc ≈ 90 °C. Inset: photographs
of a Ga2I3.17 sample in a glassy (g) or crystallized (c) state at room temperature
and in a liquid (l) state at 400 °C. (C) Curves
(1,2): heating and subsequent cooling of an air-quenched sample; (3,4):
subsequent second heating/cooling cycle; (5,6): heating/cooling curves
after sub-Tg annealing (50 °C, 1
h). All curves were recorded at a rate of 10 K min–1.
(A)
Partial phase diagram of the gallium–iodine system adapted
from refs (37) and (42). Molecular entities in
the crystalline compounds are sketched (Ga: purple spheres, I: green
spheres), and the glass composition is indicated as a dashed orange
line. (B) DSC on glassy Ga2I3.17. Heating/cooling
curves of the air-quenched glass exhibiting a glass transition at Tg = 60 °C and onset of crystallization
at Tc ≈ 90 °C. Inset: photographs
of a Ga2I3.17 sample in a glassy (g) or crystallized (c) state at room temperature
and in a liquid (l) state at 400 °C. (C) Curves
(1,2): heating and subsequent cooling of an air-quenched sample; (3,4):
subsequent second heating/cooling cycle; (5,6): heating/cooling curves
after sub-Tg annealing (50 °C, 1
h). All curves were recorded at a rate of 10 K min–1.Two early reports noted a possible
glass formation in the Ga–I
system without providing further details.[37,41] Our study is the first investigation of the gallium halide glass
with the composition Ga2I3.17, describing the
local structure and chemical properties of the liquid and glassy states
in detail. The reported structures of the crystalline phases, c-Ga2I3 and c-Ga2I4, were taken as starting points for the analysis
of glassy and liquid Ga2I3.17. The crystalline
compounds contain gallium in nominal oxidation states Ga(I), Ga(II),
and Ga(III). In c-Ga2I3 and c-Ga2I4, Ga(I) cations coordinate
with Ga(II)2I62– heteroethane
ions (idealized point symmetry D3) and tetrahedral Ga(III)I4– anions,
respectively (cf. Figure A). The reported covalent bond lengths in the molecular anions
are 2.39 Å for the Ga(II)–Ga(II) single bond and 2.54–2.61
Å for Ga(I)–I bonds.
Experimental
Methods
Gallium iodide samples were prepared in a highly
exothermic reaction
by carefully heating stoichiometric amounts of gallium metal (Aldrich,
99.99%) and iodine powder (VWR Rectapur GPR, ≥99%) up to 300
°C, forming a dark red melt. Samples of the gallium iodide glass
were prepared by air quenching a melt of composition Ga2I3.17 (i.e. Ga38.7I61.3), from 400
°C to room temperature. This composition corresponds to the solubility
limit of Ga in the melt at 400 °C. The composition of the glass
was determined as Ga2I3.17 by back-weighing
the residual Ga metal from samples with Ga metal excess. Differential
scanning calorimetry (DSC) data were collected on a PerkinElmer DSC
8000 system at a rate of 10 K min–1. Raman and Fourier
transform infrared (FTIR) spectra were recorded under an inert atmosphere
on a Renishaw Ramascope (HeNe laser, 633 nm) and a Bruker INVENIO-R
spectrometer, respectively. Time-of-flight neutron diffraction data
were recorded on the GEM instrument (RAL-ISIS, UK) in the range Q = 0.1–60 Å–1. The DC conductivity
and AC admittance data were recorded in a two-probe mode using a UNI-T
61C ohmmeter and an Agilent HP 4294A precision impedance analyzer,
respectively. Further experimental details and data evaluation are
provided in the Supporting Information.
Results
and Discussion
During the preparation of glassy g-Ga2I3.17, a remarkable color change was observed
from the
yellow crystalline solid to a dark red liquid, which then gives an
optically transparent orange glass g-Ga2I3.17 upon quenching (inset to Figure B). The glassy nature of g-Ga2I3.17 was confirmed by DSC of glassy Ga2I3.17. Heating of the air-quenched glass reveals
a glass transition at Tg = 60.0 °C
with a kinetic overshoot followed by a strong exothermic crystallization
of the glass with onset at Tc ≈
90 °C at 10 K min–1 (Figure B). The glass transition displays a step
in specific heat ΔCp = 83.5 J K–1 molGa2I3.17–1 (curve
1 in Figure C). The
glass-transition temperature was found as Tg = 57.7 °C in the second heating cycle after cooling the sample
at a rate of 10 K min–1 (curve 3 in Figure C). The strong kinetic overshoot
observed in the air-quenched material indicates a more relaxed sample
which was reduced in the second heating cycle, suggesting that the
cooling rate of the air-quenched material was significantly lower
due to the large thermal mass. Sub-Tg annealing
of the sample for 1 h at 50 °C led to the recovery of the kinetic
overshoot and a glass transition with Tg = 60.0 °C and ΔCp = 83.8
J K–1 molGa2I3.17–1 (curve 5 in Figure C).The temperature-dependent Raman spectra of g-Ga2I3.17 were recorded to determine the molecular
make-up of the glass and follow the structural changes upon heating
from room temperature to 410 °C, covering the glassy, supercooled
liquid, crystalline, and liquid states (Figure ). The reported crystal structures and Raman
spectra of Ga2I3, Ga2I4, and a series of A2[Ga2X6] compounds,
together with the calculated Raman spectrum of c-Ga2I3, serve as a starting point for assigning the
Raman lines to the molecular modes (cf. Table S1 in the Supporting Information).[37,43,44] The composition of the melt and the resulting
glass, Ga2I3.17, lies between that of c-Ga2I3 and c-Ga2I4, suggesting a mixture of Ga+ ions
with both Ga2I62– and GaI4– molecular ions in the glass.
Figure 2
Raman spectra
of glassy Ga2I3.17 recorded
upon heating from room temperature to 410 °C. (A) Raman spectra
at selected temperatures. Curves shifted vertically for clarity. (B)
Contour plot of temperature-dependent measurements. The temperatures
of glass transition Tg, crystallization Tc, and complete melting Tm are indicated by dash-dotted lines. Intensity is indicated
by the color scale and contour lines. Spectra are normalized to the
highest intensity.
Raman spectra
of glassy Ga2I3.17 recorded
upon heating from room temperature to 410 °C. (A) Raman spectra
at selected temperatures. Curves shifted vertically for clarity. (B)
Contour plot of temperature-dependent measurements. The temperatures
of glass transition Tg, crystallization Tc, and complete melting Tm are indicated by dash-dotted lines. Intensity is indicated
by the color scale and contour lines. Spectra are normalized to the
highest intensity.The Raman spectrum of g-Ga2I3.17 at 20 °C displays
four distinct peaks centered at 106, 118,
142, and 283 cm–1 (Figure A). Modes below 80 cm–1 can be assigned to I–Ga–I and I–Ga–Ga
bending modes of GaI4– and Ga2I62– molecules, respectively. Upon close
inspection, two very weak broadened features are found at 184 and
244 cm–1 due to the Ga–I asymmetric stretch
vibrations of Ga2I62–.[43,44] The peaks at 118 and 283 cm–1 can be identified
as the in-phase (A1g) and out-of-phase (A1g)
stretch vibrations of the Ga–Ga bond within the Ga2I62– ions, as observed in A2[Ga2I6] (A = H+, Me4N+) compounds and the calculated Raman spectrum for c-Ga2I3 (Table S1). The peak at 142 cm–1 can be assigned
to the tetrahedral breathing mode (A1) of GaI4– molecules, the band of the highest intensity
in Ga2I4 (cf. Figure S1 in the Supporting Information).[37] The
presence of GaI4– molecules is consistent
with the determined sample composition of Ga2I3.17, which corresponds to an approximate ratio of 0.4 GaI4– molecules per Ga2I62– molecule. Following this analysis, the overall composition
of g-Ga2I3.17 can also be represented
as [Ga+]63.2[Ga2I62–]26.3[GaI4–]10.5, reflecting the molecular makeup.At 106 cm–1, a strong mode is observed in glassy
Ga2I3.17 which cannot be attributed to any molecular
mode of Ga2I62– or GaI4– units and therefore requires further examination.
The peak is of comparable intensity and width to the identified molecular
modes, suggesting a localized nature (20 °C curve in Figure A). The mode was
not observed in the infrared spectra of g-Ga2I3.17 (Figure S2) and
hence is only Raman-active.Two phenomena are observed for (i)
the molecular modes of Ga2I62– and GaI4– and (ii) the unidentified
mode at 106 cm–1 upon heating:(i) The Raman
shift and peak width for the Ga–Ga stretch
modes at 118 and 283 cm–1 and the GaI4– tetrahedral symmetric breathing mode at 142 cm–1 show a remarkable temperature dependence (cf. Figure S3). All three modes display an overall
red shift with increasing temperature, as expected for the thermal
expansion behavior of an anharmonic oscillator. Across the glass transition
around 60 °C, both the Ga–Ga stretch modes of the Ga2I62– unit experience a rapid
but continuous blue shift which stops once the sample crystallizes
at around 80 °C.Contrarily, the GaI4– breathing mode
at 142 cm–1 displays a red shift, simultaneous with
the above-mentioned blue shift. The opposite behavior in Raman shift
agrees well with the separation of Ga2I62– and GaI4– molecules
due to the crystallization of g-Ga2I3.17 forming the phases c-Ga2I3 and c-Ga2I4. During
melting of the two phases, which begins for c-Ga2I4 at 170 °C and for c-Ga2I3 around 230 °C (cf. Figures and S3), the
change in Raman shift is reversed for all three modes.Extrapolation
of the peak positions from the glassy state to higher
temperatures coincides well with the observed peak positions in the
liquid state, suggesting that the interactions in glass and liquid
are of similar nature. The changing line widths of all three modes
reflect the narrowing and broadening distributions of the coordination
environments for Ga2I62– and
GaI4– molecules upon crystallization
and melting, respectively.(ii) Approaching Tg, the peak at 106
cm–1 drastically loses intensity and is completely
absent once the sample crystallizes at Tc (100 °C curve in Figure A). Upon melting, the peak reappears as a broad shoulder and
gains intensity as the temperature increases (curves for 245 and 410
°C in Figure A). The mode is only present in the disordered glassy and liquid
states, which contain both Ga2I62– and GaI4– molecules but not after crystallization
when the two types of molecules are separated in two phases. Heating
of g-Ga2I3.17 from room temperature
across Tg and subsequent cooling, while
avoiding crystallization, reveal the reversibility of the intensity
loss across Tg. The intensity of the 106
cm–1 peak drops steeply above 60 °C, relative
to the highest intensity Ga–Ga stretch mode at 118 cm–1, but regains nearly full initial intensity upon cooling (cf. Figure S4).The amorphous nature of the
material was further corroborated by
time-of-flight neutron measurements recorded on glassy (30 °C)
and liquid (310 and 400 °C) Ga2I3.17 (GEM
diffractometer, RAL-ISIS, UK).[45] The total
structure factor S(Q) for glassy
Ga2I3.17, presented as a function of the scattering
vector Q in Figure A, shows broadened features characteristic of amorphous
materials and is dominated by three main peaks in the low-Q region (Table S2). A small
but well-defined first sharp diffraction peak (FSDP) is observed at Q1 = 0.96 Å–1. The FSDP
can be related to intermediate-range order (IRO) on the length scale
of 2π/Q1 ≈ 6.5 Å. In c-Ga2I3, no intramolecular correlations
exist beyond this length scale, marking the transition to purely intermolecular
pair correlations.[60,61] Comparing S(Q) of g-Ga2I3.17 with
the liquid state, an overall broadening of the features is observed
at higher temperatures. Interestingly, the positions of the first
and second peaks barely change upon melting, and the FSDP is sharpened,
suggesting enhanced IRO. The oscillations of S(Q) at high Q are dampened more strongly
at high temperatures, as expected, due to thermal broadening.
Figure 3
Neutron diffraction
data for Ga2I3.17 in
the glassy (30 °C) and liquid (310, 400 °C) states. Data
are vertically shifted for visibility. (A) Total structure factors S(Q) after the correction of raw data.
(B) Pair distribution functions G(r) obtained by Fourier transformation of the diffraction data. (C)
Gaussian least-squares fit to the function r2G(r) for glassy Ga2I3.17. Peaks are labeled with atom pair assignments.
Neutron diffraction
data for Ga2I3.17 in
the glassy (30 °C) and liquid (310, 400 °C) states. Data
are vertically shifted for visibility. (A) Total structure factors S(Q) after the correction of raw data.
(B) Pair distribution functions G(r) obtained by Fourier transformation of the diffraction data. (C)
Gaussian least-squares fit to the function r2G(r) for glassy Ga2I3.17. Peaks are labeled with atom pair assignments.The total pair distribution function G(r) for glassy and liquid Ga2I3.17 (Figure B) was obtained
by
Fourier transformation of the total structure factor. The close correspondence
of G(r) for g-Ga2I3.17, l-Ga2I3.17, and c-Ga2I3 (cf. Figure S6) corroborates the suspected presence
of Ga2I62– molecules in glassy
and liquid Ga2I3.17. Below r = 2 Å, G(r) of g-Ga2I3.17 shows small irregular oscillations
around zero, attributed to Fourier truncation artifacts, and no contributions
to G(r) are expected in this range.
A comparison with interatomic distances observed in crystalline gallium
iodides and the simulated total pair distribution function for crystalline
Ga2I3 (Figure S6)
allows the assignment of the peaks in G(r) to interatomic distances between atom pairs up to r = 5 Å (Figure B,C).[37,46]The first peak centered around 2.56
Å contains overlapping
contributions of the covalently bound Ga(II)–Ga(II) (∼2.39
Å) pair in Ga2I62– and
Ga–I pairs within Ga2I62– and GaI4– molecules (∼2.5–2.6
Å). The contribution of the Ga–Ga pairs to G(r) is quite small due to the high relative abundance
of Ga–I bonds and the smaller neutron scattering length of
gallium. The third peak in G(r)
shows a maximum at r = 4.14 Å in good agreement
with the longer nonbonded Ga(II)–iodine distances within Ga2I62– (∼4.1 Å) and
intramolecular iodine–iodine (4.2–4.3 Å, geminal)
distances within the Ga2I62– and GaI4– units. The asymmetry at high r arises from intramolecular I–I (vicinal) and also
intermolecular I–I distances between neighboring molecules,
contributing between r = 4.1 and 4.5 Å in the
crystalline compounds.[37] The second peak
centered at 3.30 Å can then be assigned to the distances between
iodine in the Ga2I62–/GaI4– units and the surrounding Ga(I) ions,
as observed in c-Ga2I3 and c-Ga2I4 (dGa(I)–I ≈ 3.3–3.7 Å). This distribution is significantly
broader than the intramolecular contributions as a result of the relaxed
bonding constraints. The Ga(I)–I distribution is also significantly
broadened compared to the simulated G(r) of c-Ga2I3 (Figure S6).For the liquid l-Ga2I3.17, at 310 and 400 °C, G(r)
shows a similar overall shape as for g-Ga2I3.17. Upon melting, the first and third peaks in G(r) are slightly broadened, which is enhanced
at 400 °C. Overall, the magnitude of the oscillations in G(r) at larger distances decays faster
with increasing temperature. The strongest change is observed for
the second peak, around 3.3 Å. While this peak is well defined
in the glassy solid, it is significantly broadened in the melt at
310 °C and turns into a nearly flat contribution to G(r) at 400 °C. This observation can be well
reconciled with the above peak assignment, distinguishing intramolecular
Ga(II)–Ga(II) (2.39 Å), Ga(II/III)–I (2.59 Å),
and I–I (4.1 Å) distances from the intermolecular Ga(I)–I
distances. While the intramolecular distances show only moderate peak
broadening upon melting, the distribution of the noncovalently bound
Ga(I)–I pairs around r = 3.3 Å is strongly
affected, suggesting enhanced mobility and disorder of the Ga(I) ions.The partial coordination numbers CNGa(II)Ga(II), CNGa(II,III)I, CNGa(I)I, and CNII for the peaks up to r = 5
Å were determined following the formalism derived in the Supporting Information. The fit results from
Gaussian contributions to r2G(r) (Figures C and S7) were weighted by the
corresponding stoichiometric coefficients and neutron scattering lengths
to obtain an estimate for the partial coordination numbers (Tables , S3, and S4).
Table 1
Results of the Least-Squares
Fit of
Gaussian Contributions to the Functionr2G(r) and Coordination Numbers CN jof Atomsj Around i in g-Ga2I3.17 at
30 °C in the Ranger = 2–5 Å
atom pair i–j
r/Å
fwhm/Å
area/b Å–2
CNij
Ga(II)–Ga(II)
2.388a
0.19(1)
0.47(5)
0.65(6)
Ga(II/III)–I
2.597a
0.284(4)
4.42(7)
3.49(6)
Ga(I)–I
3.336(8)
0.53(1)
5.9(4)
4.7(3)
I–I
4.157(2)
0.56(2)
15.6(17)
10.7(1.1)
Peak position fixed to reported
bond lengths in c-Ga2I3. Estimated
standard deviations from the least-squares fit are given in brackets.
Peak position fixed to reported
bond lengths in c-Ga2I3. Estimated
standard deviations from the least-squares fit are given in brackets.Coordination numbers for gallium
in Ga(II)2I62– or Ga(III)I4– units
by Ga(II) and iodine were obtained as CNGa(II)Ga(II) = 0.65(6) and CNGa(II/III)I = 3.49(6), respectively.
The individual and summed coordination numbers agree closely with
the expected values for tetrahedrally coordinated gallium in a mixture
of both Ga2I62– (ideal: CNGa(II)Ga(II) = 1
and CNGa(II)I = 3) and GaI4– (ideal: CNGa(III)I = 4) molecular
anions, considering the strong overlap of both peaks. The average
coordination number of the individual Ga(I) cations (i.e., Ga+) by iodine CNGa(I)I = 4.7(3) is significantly reduced in glassy
Ga2I3.17 compared to crystalline Ga2I3, where eight iodine atoms form the closest coordination
shell. Upon melting, the distribution broadens, and CNGa(I)I decreases
to 4.2(1) at 400 °C (Tables S3 and S4). At a higher temperature and above r = 4 Å,
the coordination numbers are less robust due to the increased overlap
of partial contributions and the simplistic approximation as symmetric
Gaussian contributions.The effect of structural changes on
the transport properties of
Ga2I3.17 was observed in the temperature-dependent
measurements of electrical dc conductivity and ac admittance spectra.
The DC conductivity σ(T) of g-Ga2I3.17 was measured as a function of temperature
while the sample was heated from room temperature through the glass
transition and subsequent crystallization. The dc conductivity changes
by several orders of magnitude as it passes through three distinct
stages, delimited by the glass-transition temperature Tg and the crystallization temperature Tc (Figure A). Below Tg, g-Ga2I3.17 displays a linear trend of ln(σ) versus 1/T, suggesting a thermally activated
process for the mobility of Ga(I) ions. The behavior is well described
by the Arrhenius law σ(T) = σ0e–, with the fit parameters σ0 =
156.6 S cm–1 and the activation energy Ea = 0.59 eV.
Figure 4
(A) Electrical dc conductivity measured upon
heating of a g-Ga2I3.17 sample.
Fit functions and
parameters for three regions (T < Tg, Tg < T < Tc, Tc < T). (B) Real part YRe(ω) and (C) imaginary part −Yim(ω) of the ac admittance for glassy Ga2I3.17. Inset to (B): Extrapolated low-frequency limit YRe(ω = 0). Arrows in (C) are guide to the eye, highlighting
the approximate temperature dependence of the characteristic frequencies
for the three suggested relaxation processes.
(A) Electrical dc conductivity measured upon
heating of a g-Ga2I3.17 sample.
Fit functions and
parameters for three regions (T < Tg, Tg < T < Tc, Tc < T). (B) Real part YRe(ω) and (C) imaginary part −Yim(ω) of the ac admittance for glassy Ga2I3.17. Inset to (B): Extrapolated low-frequency limit YRe(ω = 0). Arrows in (C) are guide to the eye, highlighting
the approximate temperature dependence of the characteristic frequencies
for the three suggested relaxation processes.Above the glass transition, which has a lower onset than in DSC
due to the lower heating rate, ln[σ(T)] deviates
strongly from the linear behavior, that is, from exponential relaxation,
and increases at an accelerated rate. Such behavior is typically observed
for glass systems containing mobile ionic species and indicates the
onset of a cooperative mechanism for the conduction of Ga(I) ions
as Ga2I62–, and GaI4– units gain structural freedom.[47] Conductivity enhancement due to a cooperative mechanism
was recently also reported for the molecular glass Li3PS4.[28] The supercooled liquid region Tg < T < Tc can be well fitted using the empirical Vogel–Fulcher–Tammann
(VFT) expression σ(T) = σVFTe–.[48] This yields the fit parameters EVFT = 0.014 eV, T0 = 296 K, and σVFT = 1.36 10–4 S cm–1.The real part YRe(ω) of the spectral
ac admittance (i.e., the inverse of the complex electrical impedance)
in the glassy state presents a wide low-frequency plateau, extending
to higher frequencies as the ionic mobility increases with temperature
(Figure B). This corresponds
to the bulk ionic conductivity, and the extrapolated values YRe(ω = 0) (inset to Figure B) follow the observed increase in the dc
conductivity of g-Ga2I3.17,
reproducing a comparable activation energy of 0.8 eV below Tg. A high-frequency limit is not observed within
the recorded range (40 Hz – 50 MHz), as data above 3 MHz are
influenced by the strong pickup from wiring contributions.[49]The respective imaginary part −Yim(ω) of ac admittance is characterized
by a broad minimum centered
around ωmean ≈ 104 Hz at 23 °C
(Figure C). With increasing
temperature, the relaxation time decreases and the broad minimum splits
into two individual contributions around Tg ≈ 37–41 °C, before ending in a single narrow
minimum at 0.5–1.4 × 106 Hz above 44 °C,
indicating a single relaxation process.[50]The clear observation of two relaxation processes around Tg with distinct time constants is intriguing
and raises questions about their structural origins.[51] In amorphous polymers and glass-forming liquids, the primary
or structural α-relaxation determines the glass transition and
has been related to cooperative molecular rearrangements.[52,53] For many materials, a secondary β-relaxation, or Johari–Goldstein
relaxation, has been observed in their dielectric or impedance spectra,
which manifests as a high-frequency contribution on an individual
timescale and temperature dependence.[54] Its exact nature is still debated but has been associated with hindered
noncooperative reorientations or translations in the local regions
of low mobility.[55]Within this model,
the two observed minima may be attributed to
the above-described structural primary and secondary β-relaxation.[56] The timescale of the primary relaxation is observable
as a low-frequency contribution close to the glass-transition temperature
but is indistinguishable from the β-relaxation above Tg. The exact temperature dependence of the low-frequency
contribution is hard to determine within the narrow observation window.The narrowing of the minimum at low temperatures may be attributed
to the freeze-out and decrease in magnitude of the primary relaxation
mechanism. Thus, the primary relaxation may be understood as cooperative
translations and reorientations of Ga(I), Ga2I62–, and GaI4– ions
in g-Ga2I3.17.Below Tg, the movement of molecular
units freezes out, and the Ga(I) migration follows pure Arrhenius
behavior.[57] A third contribution, corresponding
to the slow time constant of the electrode/electrolyte contact, gives
rise to a minimum at low frequencies (ω < 102 Hz),
which is not resolved within the observed frequency range.As
the sample crystallizes into a physical mixture of c-Ga2I3 and c-Ga2I4 around 80 °C, the dc conductivity drops by 2 orders
of magnitude, and the Arrhenius behavior is restored. A linear fit
to ln(σ) versus 1/T yields
an activation energy of Ea = 0.68 eV,
corresponding to a 15% increase compared to that of g-Ga2I3.17 (Ea =
0.59 eV). While the two-phase nature of the crystalline sample complicates
interpretation, the increased energy barrier for Ga(I) migration is
in line with the change in the average coordination number of Ga(I)
by iodine from 4.6 in g-Ga2I3.17 to 8 in c-Ga2I3 and c-Ga2I4, as observed in neutron diffraction.
A comparable value for the activation enthalpy of 0.8 eV has been
reported for the electrical conductivity of the structurally related
crystalline compound Ga2Br3.[58] High ionic conductivity appears as a universal property
of the A2[Ga2X6]-related compounds,
rendering especially the lithium analogues interesting for application.[46] The electrical ac admittance in the crystallized
sample displays a low-frequency plateau in YRe(ω) in line with the observed ionic dc conductivity,
and −Yim(ω) indicates a single
relaxation mechanism (Figure S8).
Conclusions
A high glass-forming tendency was found for melts with composition
Ga2I3.17, located between the two binary crystalline
compounds Ga2I3 and Ga2I4. Raman spectroscopy and neutron scattering revealed that the Ga2I3.17 glass can be described as a mixture of the
molecular anions Ga2I62– and
GaI4– coordinated by Ga+ cations.
Remarkably, the glass contains gallium in three formal oxidation states,
and its molecular make-up can be summarized by the formula [Ga+]63.2[Ga2I62–]26.3[GaI4–]10.5.A strong Raman mode at 106 cm–1 was observed
for glassy and liquid Ga2I3.17, which is absent
in the spectra of the crystalline phases Ga2I3 and Ga2I4 and indicative of strong intermolecular
interactions at the glass composition. Temperature-dependent Raman
and admittance spectroscopy show that the new mode is strongly connected
to the local structure in glassy and liquid Ga2I3.17 and the structural relaxation at the glass transition. The sharp
peak shape suggests the resonance of a well-defined local molecular
arrangement possible only in the presence of both Ga2I62– and GaI4– units.Comparison of the extrapolated dc conductivity of the
crystallized
mixture Ga2I3/Ga2I4 suggests
a conductivity increase by several orders of magnitude in glassy Ga2I3.17 compared to the ordered crystalline phases.
The existence of the related crystalline compounds LiGaI3, LiGaBr3, and LiGaCl3[46,59] hints that g-Ga2I3.17 may
be the first representative of a whole family of mixed molecular glasses
with substitutional flexibility, heralding the advent of new ion-conducting
glasses for lithium- or sodium-based energy storage concepts.
Authors: Marvin A Kraft; Saneyuki Ohno; Tatiana Zinkevich; Raimund Koerver; Sean P Culver; Till Fuchs; Anatoliy Senyshyn; Sylvio Indris; Benjamin J Morgan; Wolfgang G Zeier Journal: J Am Chem Soc Date: 2018-11-13 Impact factor: 15.419
Authors: Ang Qiao; Thomas D Bennett; Haizheng Tao; Andraž Krajnc; Gregor Mali; Cara M Doherty; Aaron W Thornton; John C Mauro; G Neville Greaves; Yuanzheng Yue Journal: Sci Adv Date: 2018-03-09 Impact factor: 14.136