Gregor Mali1, Matjaž Mazaj1, Iztok Arčon2,3, Darko Hanžel3, Denis Arčon3,4, Zvonko Jagličić5. 1. National Institute of Chemistry , Hajdrihova 19 , SI-1001 Ljubljana , Slovenia. 2. University of Nova Gorica , Vipavska 13 , SI-5000 Nova Gorica , Slovenia. 3. Jožef Stefan Institute , Jamova 39 , SI-1000 Ljubljana , Slovenia. 4. Faculty of Mathematics and Physics , University of Ljubljana , Jadranska 19 , SI-1000 Ljubljana , Slovenia. 5. Institute of Mathematics, Physics and Mechanics & Faculty of Engineering and Geodesy , University of Ljubljana , Jadranska 19 , SI-1000 Ljubljana , Slovenia.
Abstract
Properties of mixed-metal MOFs depend on the distribution of different metals within their frameworks. Determination of this distribution is often very challenging. Using an example of aluminum- and iron-containing MIL-100, we demonstrate that 27Al NMR spectroscopy, when combined with first-principles calculations and magnetic, X-band electron paramagnetic resonance, Fe K-edge extended X-ray absorption fine structure, and Mössbauer measurements, enables one to accurately determine the arrangement of Al and Fe within the metal trimers, which are the basic building units of MIL-100. In this particular material, the incorporation of Fe and Al on the framework metal sites is random. Crucial for deciphering the arrangement is detecting NMR signals, shifted because of the strong hyperfine interaction between the 27Al nuclei and the unpaired electronic spins of Fe3+ ions, assigning the shifted signals aided by first-principles calculations of hyperfine couplings, and quantitatively evaluating the NMR intensities and the measured effective magnetic moment.
Properties of mixed-metal MOFs depend on the distribution of different metals within their frameworks. Determination of this distribution is often very challenging. Using an example of aluminum- and iron-containing MIL-100, we demonstrate that 27AlNMR spectroscopy, when combined with first-principles calculations and magnetic, X-band electron paramagnetic resonance, Fe K-edge extended X-ray absorption fine structure, and Mössbauer measurements, enables one to accurately determine the arrangement of Al and Fe within the metaltrimers, which are the basic building units of MIL-100. In this particular material, the incorporation of Fe and Al on the framework metal sites is random. Crucial for deciphering the arrangement is detecting NMR signals, shifted because of the strong hyperfine interaction between the 27Al nuclei and the unpaired electronic spins of Fe3+ ions, assigning the shifted signals aided by first-principles calculations of hyperfine couplings, and quantitatively evaluating the NMR intensities and the measured effective magnetic moment.
Metal–organic
framework
materials (MOFs), composed of metal-oxo vertices and organic linkers,
exhibit immense structural and physicochemical variety. The main properties
and topologies of these materials are determined by the coordination
preferences of the metal ions and by the nature of the linkers included
in the frameworks. In addition, the MOF’s properties can be
fine-tuned by preparing mixed-linker and mixed-metal MOFs, which comprise
the linkers or metal centers of two or more different types.[1−5] As has been shown recently, mixed-metal MOFs can exhibit very interesting
magnetic, optical, and catalytic properties.[6−9]Although syntheses of mixed-metal
MOFs are becoming quite successful,
characterizing the arrangement of different metal ions within the
frameworks is still very challenging.[10] Because ions of different metals in a mixed-metal MOF typically
occupy crystallographically equivalent positions, diffraction techniques
are able to provide only limited insight into the distribution of
the metals within the framework. Spectroscopic methods that rely on
local probes tend to be more informative. In the case of MOFs that
comprises iron as one of the metals, Mössbauer, electron paramagnetic
resonance (EPR), and Fe K-edge X-ray absorption near-edge structure
(XANES), and extended X-ray absorption fine structure (EXAFS) spectroscopies
have been employed thus far.[8] EPR is particularly
insightful, as it is able to distinguish the signal of isolated Fe3+ ions from the signal of iron dimers or clusters. In this
work, we show that quickly accessible and easily readable information
about the arrangement of Fe3+ and Al3+ ions
is also offered by NMR spectroscopy. Complemented by first-principles
calculations, EPR and EXAFS spectroscopy, and magnetometry, NMR spectroscopy
also enables one to understand the complex magnetism within mixed-metalMIL-100(Al,Fe).MIL-100 is composed of trimers of metal-oxo
octahedra, which through
benzene-1,3,5-tricarboxylate (BTC) anions are linked into a porous
framework with MTN topology (Scheme ).[11] MIL-100 materials have
been prepared with Cr, Fe, Al, and Scmetal centers. Iron-based MIL-100
exhibits a very large capacity for adsorption of water and CO2 and possesses a significant number of accessible Lewis acid
sites.[12,13] These important properties of this material
might be additionally fine-tuned by the controlled synthesis of mixed-metalMIL-100. In this work, we prepared mixed-metalMIL-100(Al,Fe) with
empirical formula Al1.3Fe1.7O(OH)(H2O)2[BTC]2·nH2O and two reference single-metal counterparts, MIL-100(Al) and MIL-100(Fe).
For deciphering the distribution of Al and Fe, we used complementary
NMR, Fe K-edge XANES and EXAFS, Mössbauer, and EPR spectroscopies.
These spectroscopies are sensitive to the local environment of the
selected probe nuclei or ions and thus should be able to elucidate
the nature of the trimers present within MIL-100(Al,Fe). In principle,
within this mixed-metal material one can expect to find four basic
types of metal-oxo trimers, which can, according to their composition,
be denoted as 3Fe, 2Fe1Al, 1Fe2Al, and 3Altrimers. Fe K-edge XANES
and EXAFS, Mössbauer, and EPR spectroscopies can detect and
inspect the first three types, whereas 27AlNMR can
detect the last three types of trimers.
Scheme 1
Structure of Single-Metal
MIL-100
(A) Schematic presentation
of the MTN framework, composed of vertex-sharing tetrahedra, and (B)
unit cell of MIL-100. The framework is composed of super-tetrahedra,
in which metal-oxo trimers are connected to one another through the
BTC linkers (C).
Structure of Single-Metal
MIL-100
(A) Schematic presentation
of the MTN framework, composed of vertex-sharing tetrahedra, and (B)
unit cell of MIL-100. The framework is composed of super-tetrahedra,
in which metal-oxo trimers are connected to one another through the
BTC linkers (C).Fe K-edge XANES and EXAFS,
Mössbauer, and X-band EPR spectra
of MIL-100(Al,Fe) and MIL-100(Fe) are shown in Figure . K-edge positions in the Fe XANES spectra
clearly show that the single- and mixed-metal materials comprise only
Fe3+ ions. Fe K-edge EXFAS measurements indicate that in
the average metal-oxo trimer of MIL-100(Al,Fe), two Fe cations and
one Al cation are positioned in the vertexes of an isosceles triangle
with two shorter sides and one longer side (for details, see Table S1 in the Supporting Information). This
result, which agrees well with the stoichiometry of MIL-100(Al,Fe)
(Al1.3Fe1.7O(OH)(H2O)2[BTC]2), suggests that the sample is neither a simple
mixture of single-metalMIL-100(Al) and MIL-100(Fe) crystals nor a
composite of large Fe-rich and Al-rich domains but instead could be
a homogeneous mixture of 3Fe, 2Fe1Al, 1Fe2Al, and 3Altrimers.
Figure 1
(A) Fe K-edge
XANES spectra of MIL-100(Fe) and MIL-100(Al,Fe) samples
and reference iron oxide compounds with iron valence states between
Fe2+ and Fe3+ [Fe2+: FeSO4·7H2O; Fe2.67+: Fe3O4; Fe3+: Fe2O3 (hematite), α-FeOOH
(goethite)]. The spectra are shifted vertically for clarity. The vertical
dashed line is plotted at the Fe K-edge position of 7125 eV to facilitate
the comparison of the Fe K-edge energy positions in different Fe compounds.
(B) Fourier transform magnitude of k3-weighted
Fe EXAFS spectra of MIL-100(Fe) and MIL-100(Al,Fe) samples, calculated
in the k range of 3–14 Å–1. Experiment, circles; best-fit EXAFS models in the R range from 1.0–3.3 Å, solid lines. (C) Fe Mössbauer
spectra of MIL-100(Fe) and MIL-100(Al,Fe) can be modeled well by at
least three contributions. Three equally intense individual components,
comprising the fit of the spectrum of MIL-100(Fe), are shown. The
three components can be assigned to three crystallographically slightly
different Fe sites within the 3Fe trimers. (D) X-band EPR spectra
of MIL-100(Fe) (red bullets) and MIL-100(Al,Fe) (blue circles) recorded
at 295 and 30 K. The thin black lines are the fits of the spectra
(see the Supporting Information). The positions
of the resonances with g = 2.09 and g = 4.3 are marked with vertical lines. The narrow signal indicated
by a star is due to the dielectric resonator. The spectra are vertically
shifted for clarity.
(A) Fe K-edge
XANES spectra of MIL-100(Fe) and MIL-100(Al,Fe) samples
and reference iron oxide compounds with iron valence states between
Fe2+ and Fe3+ [Fe2+: FeSO4·7H2O; Fe2.67+: Fe3O4; Fe3+: Fe2O3 (hematite), α-FeOOH
(goethite)]. The spectra are shifted vertically for clarity. The vertical
dashed line is plotted at the Fe K-edge position of 7125 eV to facilitate
the comparison of the Fe K-edge energy positions in different Fe compounds.
(B) Fourier transform magnitude of k3-weighted
Fe EXAFS spectra of MIL-100(Fe) and MIL-100(Al,Fe) samples, calculated
in the k range of 3–14 Å–1. Experiment, circles; best-fit EXAFS models in the R range from 1.0–3.3 Å, solid lines. (C) Fe Mössbauer
spectra of MIL-100(Fe) and MIL-100(Al,Fe) can be modeled well by at
least three contributions. Three equally intense individual components,
comprising the fit of the spectrum of MIL-100(Fe), are shown. The
three components can be assigned to three crystallographically slightly
different Fe sites within the 3Fetrimers. (D) X-band EPR spectra
of MIL-100(Fe) (red bullets) and MIL-100(Al,Fe) (blue circles) recorded
at 295 and 30 K. The thin black lines are the fits of the spectra
(see the Supporting Information). The positions
of the resonances with g = 2.09 and g = 4.3 are marked with vertical lines. The narrow signal indicated
by a star is due to the dielectric resonator. The spectra are vertically
shifted for clarity.The Mössbauer spectrum (Figure C) confirms that iron within both iron-containing
samples is octahedrally coordinated and that its oxidation state is
the anticipated 3+. Spectra of both samples exhibit very similar doublets
and no components exhibiting a magnetic hyperfine structure. It was
shown in the literature that the isomer shift and quadrupole splitting
for iron within a 3Fe trimer of MIL-100(Fe) differ considerably for
an Fe3+ ion bonded to F– or OH– and an Fe3+ ion coordinated with a water molecule.[14] If various neighbors in the first coordination
sphere of iron are combined with various trimers within the mixed-metal
sample (3Fe, 2Fe1Al, and 1Fe2Al), then the number of relevant models
and the number of free parameters quickly become too large to allow
one to obtain reliable information about the abundance of the different
trimers from the Mössbauer spectra.X-band EPR measurements
on MIL-100(Al,Fe) suggest that the sample
comprises magnetically coupled Fe dimers and/or trimers, as well as
isolated octahedrally coordinated Fe3+ ions. Thus, the
spectra demonstrate that in addition to 3Fe and/or 2Fe1Al units, 1Fe2Al
units are present in this material. More specifically, the spectrum
of MIL-100(Al,Fe) recorded at room temperature is dominated by broad
resonance at g = 2.09 but also hints at the presence
of another, much weaker component that peaks at around geff = 4.3 (Figure D). This latter signal becomes much more pronounced in the
low-temperature spectrum, whereas the main broad component at g ≈ 2 at low temperatures broadens, shifts to slightly
higher g-factor values, and loses its intensity.
The room-temperature spectrum of MIL-100(Fe) similarly shows the dominance
of the broad g = 2.09 line but exhibits an almost
negligible component with geff = 4.3.
EPR spectra of MIL-100(Al,Fe) resemble the spectrum of MIL-53(Al,Fe)
in which the geff = 4.3 signal is assigned
to isolated Fe3+ ions in the high-spin S = 5/2 state, and the broad g ≈ 2 signal
is attributed to magnetically coupled dimers or polymers of Fe3+ ions.[8] Such assignment is also
fully corroborated by the data fitting where we assumed two EPR active
species (for details, see the Supporting Information). The apparent decrease in the relative intensity of the g ≈ 2 signal with decreasing temperature suggests
that the Fe3+ ions within the 3Fe and 2Fe1Altrimers are
antiferromagnetically coupled.In principle, 27AlNMR spectroscopy can detect contributions
of mixed 1Fe2Al and 2Fe1Altrimers, as well as of single-metal 3Altrimers, and thus is expected to complement the three other spectroscopic
techniques. As shown in Figure , 27AlNMR spectroscopy offers convincing and easily
readable information. In contrast to a single narrow signal within
the spectrum of MIL-100(Al), the spectra of MIL-100(Al,Fe) recorded
in the temperature range between 263 and 358 K exhibit two strong
contributions, one resonating between −150 and 250 ppm and
one extending between 400 and 1100 ppm. The first one, although five
times broader than the signal of the diamagnetic MIL-100(Al), has
a peak maximum close to 0 ppm and is tentatively assigned to the 6-coordinated
Al nuclei within the 3Altrimers. The second, substantially broader,
contribution might be ascribed to nuclei within the 1Fe2Al and/or
2Fe1Altrimers. In fact (vide infra), a more correct statement is
that the former contribution probably belongs to the Al nuclei within
the trimers with a totalspin of zero, whereas the latter belongs
to Al nuclei within the trimers with a totalspin different from zero.
The conclusion that the broad peak between 400 and 1100 ppm belongs
to Al nuclei, significantly affected by unpaired electronic spins,
is nicely supported by its temperature-dependent resonance frequency.
Figure 2
Static 27Al NMR spectra of MIL-100(Al,Fe) (recorded
in the temperature range between 263 and 358 K) and MIL-100(Al) (recorded
at 298 K). They are scaled vertically so that the highest peaks close
to 0 ppm are equally high in all the spectra.
Static 27Aln class="Chemical">NMR spectra of MIL-100(Al,Fe) (recorded
in the temperature range between 263 and 358 K) and MIL-100(Al) (recorded
at 298 K). They are scaled vertically so that the highest peaks close
to 0 ppm are equally high in all the spectra.
NMR spectroscopy is a quantitative technique: The peak intensity
is proportional to the number of nuclei contributing to the peak.
To obtain insight into the abundance of different types of trimers
within MIL-100(Al,Fe) based on its 27AlNMR spectrum, we
need reliable assignment of the different peaks in this spectrum.
In other words, we need to answer the question whether the signal
extending between 400 and 1100 ppm belongs to 1Fe2Al, to 2Fe/1Al,
or to both. A possible method for obtaining this answer is via first-principles
calculations of the isotropic shifts for each type of the trimer.
Researchers, mostly intrigued by the NMR spectra of various battery
materials, have started to tackle the prediction of isotropic shifts
induced by paramagnetic centers only recently. Therefore, a relatively
small number of successfully calculated paramagnetic shifts of 6,7Li, 29Si, 31P, and 51V
nuclei exist, which were carried out using different approaches with
different levels of accuracy.[15] In addition,
only very recently was the first example of a calculation of 1H and 13C paramagnetic shifts within the Cr-MIL-101metal–organic framework demonstrated.[16] In the mixed-metalMIL-100(Al,Fe), the calculations are expected
to be more demanding because of the presence of various Al/Fe arrangements
within the metal-oxo trimers.Generally, calculating the isotropic
shift for nuclei that are
close to paramagnetic centers requires calculating the orbital contribution,
hyperfine coupling constant, electronic g-tensor,
and dipolar tensor (the last one describes the through-space dipolar
couplings between the nuclear spins and the spins of the unpaired
electrons; for a more complete discussion, see refs (16−18)). In the case of MIL-100(Al,Fe), we can consider
some simplifications. First, the orbital contribution to the isotropic
shift of the Al nuclei within the mixed-metaltrimers will be very
similar to the orbital shift of the Al nuclei within the 3Altrimers
and within the purely diamagnetic sample of MIL-100(Al). Therefore,
there is no need to calculate it. Second, as was recently shown, materials
with Fe3+ centers typically exhibit no anisotropy of the g-tensor;[18] thus, we can also
skip the calculation of this tensor (our successful simulation of
X-band EPR data with the isotropic g-tensor confirms
that Fe3+ centers with S = 5/2 are L = 0 centers). Third, if the g-tensor
is isotropic, then the isotropic contributions that depend on the
dipolar tensor also vanish. Thus, for the 27Al nuclei of
MIL-100(Al,Fe), predicting the isotropic paramagnetic shifts involves
only first-principles calculation of the hyperfine coupling constants.
Because far-reaching dipolar couplings do not contribute to the isotropic
shifts, we can even avoid expensive calculations on the entire crystallographic
unit cell with periodic boundary conditions and can limit the present
study to calculations on relatively small clusters of atoms around
selected 27Al nuclei.Scheme shows the
model clusters for which ground-state energies, spin densities, and
hyperfine-coupling constants were calculated. The calculations are
carried out within the frame of density functional theory, using a
hybrid PBE0 exchange–correlation functional (incorporating
25% Hartree–Fock exchange) and a flexible def2-QZVPP basis
set; for more details about the calculations, see the Supporting Information. As summarized in Table , the hyperfine coupling
constants on the 27Al nuclei, calculated in the 2Fe1Al
and 1Fe2Altrimers, are similar. More than by the number of neighboring
Fe3+ ions, hyperfine coupling constants are affected by
the presence of either OH– or H2O within
the first coordination sphere of Al. This is understandable; a bond
with an electronegative OH– affects the electron
and spin density on Al quite differently from a coordination bond
with a neutral (although polar) water molecule.
Scheme 2
Clusters of Atoms
for Which Ground-State Energies, Spin Densities,
and Hyperfine Coupling Constants Were Calculated
Clusters represent simplified
models of the 3Fe, 2Fe1Al, 1Fe2Al, and 3Al trimers that are expected
to be found in MIL-100(Al,Fe). (Fe, orange; Al, blue; O, red; C, brown;
H, white; for better distinction between the coordinated H2O molecules and bonded OH– groups, oxygen atoms
of the latter are presented in violet).
Table 1
Hyperfine Coupling Constants AHF Calculated within the DFT Frame for Simple
2Fe1Al and 1Fe2Al Model Clusters
type of trimer
2Fe1Al
2Fe1Al
1Fe2Al
1Fe2Al
Al environment
Al–H2O
Al–OH
Al–H2O, Al–H2O
Al–H2O, Al–OH
AHF [MHz]
2.0
0.9
1.6, 1.7
1.8 (1.7), 0.9 (1.2)a
Values in parentheses list the hyperfine
coupling constants calculated for an extended 1Fe2Al cluster, in which
the terminating methyl groups of the simple model cluster are replaced
by phenyl groups, better resembling the BTC linkers of MIL-100.
Clusters of Atoms
for Which Ground-State Energies, Spin Densities,
and Hyperfine Coupling Constants Were Calculated
Clusters represent simplified
models of the 3Fe, 2Fe1Al, 1Fe2Al, and 3Altrimers that are expected
to be found in MIL-100(Al,Fe). (Fe, orange; Al, blue; O, red; C, brown;
H, white; for better distinction between the coordinated H2O molecules and bonded OH– groups, oxygen atoms
of the latter are presented in violet).Values in parentheses list the hyperfine
coupling constants calculated for an extended 1Fe2Al cluster, in which
the terminating methyl groups of the simple model cluster are replaced
by phenyl groups, better resembling the BTC linkers of MIL-100.Practical calculations of paramagnetic
shifts are carried out with
a ferromagnetic arrangement of the electronic spins. In this arrangement,
all the unpaired spins are collinear as the time-averaged spins within
the paramagnetic phase are expected to be, on average, such that the
spins point in the direction opposite from the direction of the magnetic
field. The paramagnetic shift is given by the following expression:in which the hyperfine coupling constant, AHF, obtained with the DFT calculations, is multiplied
by a factor, which scales the hyperfine coupling of the ferromagnetic
state at 0 K to the residual coupling within a paramagnetic phase
at a finite temperature. In eq , χ(T) is the volume magnetic susceptibility, N the number of paramagnetic centers per unit volume, g the electron g-factor, μB the Bohr magneton, and γn the nuclear gyromagnetic ratio for 27Al nuclei.
We measured the magnetic susceptibility of MIL-100(Al,Fe) (and of
MIL-100(Fe) for comparison) with a superconducting quantum interference
device (SQUID). As suggested by the EPR analysis, the magnetic susceptibility
of the two samples is apparently the sum of several contributions,
and even at the relatively high temperature of 300 K, neither MIL-100(Al,Fe)
nor MIL-100(Fe) can be described as a paramagnetic phase comprising
only independent paramagnetic Fe3+ centers (Figure ). In other words, the temperature
dependence of magnetic susceptibility does not follow the Curie or
Curie–Weiss expression and confirms that a significant intramolecular
antiferromagnetic coupling is present between Fe3+ ions
sharing the same trimers. Additional DFT calculations show that the
energy of the 2Fe1Al trimer with an antiparallel arrangement of the
spins of the two Fe3+ centers is by 150 meV (3 meV/atom)
lower than the energy of the same trimer with parallel alignment of
the two spins, and that exchange coupling constant, J, can be estimated to be −6 meV (−50 cm–1). Thus, it is not surprising that significant antiferromagnetic
coupling is felt among the spins within the 2Fe1Al (and 3Fe) trimers
even at 300 K.
Figure 3
Magnetic susceptibility of MIL-100(Fe) and MIL-100(Al,Fe)
and comparison
of average effective magnetic moments (inset) as functions of temperature.
The values of the average magnetic moments below 5.9 μB and their strong temperature dependence show that significant spin-coupling
among Fe3+ ions is present in both materials throughout
the examined temperature range.
Magnetic susceptibility of MIL-100(Fe) and MIL-100(Al,Fe)
and comparison
of average effective magnetic moments (inset) as functions of temperature.
The values of the average magnetic moments below 5.9 μB and their strong temperature dependence show that significant spin-coupling
among Fe3+ ions is present in both materials throughout
the examined temperature range.According to the discussion above, the magnetic susceptibility
of MIL-100(Al,Fe) can be described as the sum of at least three contributions:
a contribution of antiferromagnetically coupled Fe3+spins
of the 3Fe trimer, a contribution of antiferromagnetically coupled
Fe3+spins of the 2Fe1Altrimers, and a contribution of
the isolated paramagnetic centers of the 1Fe2Altrimers. The measurement
actually shows one more contribution: a relatively strong temperature-independent
paramagnetic (TIP) contribution. Non-negligible exchange coupling
among the Fe3+ centers makes the prediction of isotropic
shifts due to hyperfine interaction between electronic and nuclear
spins in MIL-100(Al,Fe) difficult. Because NMR is a spectroscopic
technique sensitive to the local environment, the calculation of the
isotropic shift should take into account local susceptibility or local
effective magnetic moments rather than the bulk quantities. If we
assume that the Fe3+ ions within the 1Fe2Altrimers behave
as independent paramagnetic centers, then the isotropic shift of the 27Al nuclei for such trimers can be calculated by insertinginto eq . In the Curie
relation above, the effective magnetic moment
per isolated Fe3+ site μeff = 5.9 μB; k is
the Boltzmann’s constant, and T is the temperature
of the sample. The 200–430 ppm shifts (calculated at 263 K
for AHF ranging between 0.9 and 2.0 MHz)
compare moderately well with the measured peak position of 650 ppm.
The discrepancy between the calculated and measured isotropic shifts
could partly be due to the inherent limited accuracy of the selected
DFT approach and basis set, and partly due to the difference between
the simplified structural models and the true structure of the powdered
material.Although excellent agreement between the calculated
and observed
isotropic shifts is not achieved, the results of the spectroscopic
measurements and calculations allow us to conclude that the 27AlNMR signal with the largest isotropic shift should be assigned
to the aluminum within the 1Fe2Altrimers. It is also clear that the
aluminum from the 3Altrimers will resonate close to 0 ppm. Thus,
we need to find out only where the 27AlNMR signal of the
2Fe1Altrimers appears. Neglecting the possible weak coupling of Fe3+spins with the spins from the neighboring trimers, the susceptibility
of the antiferromagnetically coupled pairs of spins 5/2 can be expressed
as[19]By inserting the value of J, as calculated with DFT, into eq , we can compare the predicted susceptibility of the
Fe3+ pairs to the susceptibility of the isolated Fe3+ centers. We can see that in the temperature range between
260 and 360 K the former is 2–3 times smaller than the latter
and that the former has much less pronounced temperature dependence
(Figure S6). Thus, we can expect that the 27AlNMR signal of aluminum from the 2Fe1Altrimers is significantly
less shifted than that from the 1Fe2Altrimers and that this shift
is much less temperature-dependent.Closer inspection of the 27AlNMR spectrum (Figure A), recorded at 263
K (the best resolved spectrum in the series), shows that neither the
signal extending between 400 and 1100 ppm nor the signal resonating
between −150 and 250 ppm is symmetric. For the broad paramagnetically
shifted signal, this result is expected: The through-space dipolar
coupling between the 27Al nuclei and the unpaired electrons
of the Fe3+ ion should lead to signal broadening which
resembles broadening due to chemical shielding anisotropy (CSA). For
the signal of the 3Altrimers, anisotropy is not necessarily expected.
The nearest unpaired electrons are already quite distant from these
aluminum nuclei, and they broaden the NMR signal mainly through accelerated
relaxation. Although the 27Al nuclei are quadrupolar, the
spectrum of the diamagnetic MIL-100(Al) shows that the quadrupolar
broadening of the 27Al central transition is negligible
compared to the broadening induced by the unpaired electrons. Thus,
the asymmetry of the signal between −150 and 250 ppm suggests
that this signal might be composed of more than one contribution;
in other words, the signal could be composed of the contribution of
the 3Altrimers and the contribution of the 2Fe1Altrimers. This hypothesis
is strongly supported by the spin–lattice relaxation time measurements,
which show that the 27AlNMR spectrum is composed of at
least three contributions and that these contributions have significantly
different spin–lattice relaxation times (1Fe2Al, T1 = 0.7 ms; 2Fe1Al, T1 = 2.1
ms; 3Al, T1 = 5.4 ms; see Figure B).
Figure 4
(A) Decomposition of
the 27Al NMR spectrum of MIL-100(Al,Fe)
into three contributions, presumably belonging to the 2Fe1Al, 1Fe2Al,
and 3Al trimers. From the intensities of these contributions, the
abundancies of individual trimers within MIL-100(Al,Fe) can be determined.
In the inset, these abundancies are compared with those expected for
the random incorporation of Fe and Al into the trimers. (B) 27Al spin–lattice relaxation time analysis of MIL-100(Al,Fe).
The spectra recorded with different relaxation delays clearly indicate
that the contribution resonating between −150 and 250 ppm is
composed of at least two signals. The inset shows that the three partly
resolved signals have significantly different spin–lattice
relaxation rates, all substantially higher than the relaxation rate
of the diamagnetic MIL-100(Al).
(A) Decomposition of
the 27AlNMR spectrum of MIL-100(Al,Fe)
into three contributions, presumably belonging to the 2Fe1Al, 1Fe2Al,
and 3Altrimers. From the intensities of these contributions, the
abundancies of individualtrimers within MIL-100(Al,Fe) can be determined.
In the inset, these abundancies are compared with those expected for
the random incorporation of Fe and Al into the trimers. (B) 27Alspin–lattice relaxation time analysis of MIL-100(Al,Fe).
The spectra recorded with different relaxation delays clearly indicate
that the contribution resonating between −150 and 250 ppm is
composed of at least two signals. The inset shows that the three partly
resolved signals have significantly different spin–lattice
relaxation rates, all substantially higher than the relaxation rate
of the diamagnetic MIL-100(Al).Decomposition of the 27AlNMR spectrum of MIL-100(Al,Fe)
into three contributions, two of them described by CSA-like signals
and one by a Gaussian signal, yields relative intensities of 0.46
(1Fe2Al), 0.30 (2Fe1Al), and 0.24 (3Al). Because of the significant
overlap between the signals, the extracted relative intensities are
not very reliable. Nevertheless, we used them to estimate the abundancies
of four different types of trimers. These estimated abundancies match
quite well the predicted probabilities of finding the different trimers
(Figure A), as calculated
by assuming that aluminum and iron are randomly incorporated in the
trimers. This result is interesting and gives credence to the decomposition
of the spectrum. The results of the decomposition are further confirmed
when the abundancies of the 3Fe, 2Fe1Al, and 1Fe2Altrimers are used
to predict the average effective magnetic moment of bulk MIL-100(Al,Fe).
We may assume that at a sufficiently low temperature the effective
magnetic moment per one Fe3+ ion is 5.9 μB in the 1Fe2Altrimers, zero in the 2Fe1Altrimers, and
5.9/3 μB in the 3Fetrimers. With
such an assumption and with the abundancies obtained from the decomposition
of the NMR spectrum, we get that , which is close
to the experimental value
(Figure B) at the
lowest temperature of 2 K.In conclusion, 27AlNMR
spectroscopy, X-band EPR spectroscopy,
and magnetometry, supported by the first-principles calculations of
hyperfine and spin-exchange interactions and by Fe K-edge EXAFS and
Mössbauer spectroscopy, explain the magnetism of mixed-metalMIL-100(Al,Fe). These methods provide evidence that the framework
of this material is composed of 3Fe, 2Fe1Al, 1Fe2Al, and 3Altrimers
and that aluminum and iron randomly occupy the metal sites within
the trimers. The results also suggest that NMR can, even more generally,
offer relatively easily accessible and very informative insight into
the distribution of different metals within mixed-metal materials.
Crucial for a successful analysis is the ability to detect the NMR
signals of the nuclei, which are strongly affected by their interaction
with unpaired electronic spins. DFT-based evaluation of such interactions
is also an important part of the analysis of mixed-metal materials.
Experimental
and Computational Methods
Fe K-edge XANES and EXAFS spectra
were measured at the XAFS beamline
of the Elettra synchrotron radiation facilities in transmission detection
mode. The samples and the reference Fe compounds were prepared in
the form of homogeneous pellets, pressed from micronized powder mixed
with BN. Mössbauer spectra were recorded using a constant acceleration
Wissel spectrometer, in transmission mode with 57Co source
embedded in Rh matrix. X-band EPR spectra were recorded on a Bruker
E580 spectrometer between 295 and 30 K. NMR measurements were carried
under static conditions on a 600 MHz Varian NMR spectrometer equipped
with a 3.2 mm Varian MAS probe. Teflon tubes, free of 27Al background, were used as sample holders. Magnetic properties of
polycrystalline samples were investigated by a Quantum Design MPMS-XL-5
SQUID magnetometer in the temperature range between 2 and 300 K in
three magnetic fields (0.1, 1, and 5 T). First-principles calculations
of hyperfine-coupling and J-coupling constants were
carried out within the DFT frame as implemented in Orca.[20,21] More experimental and computational details are provided in the Supporting Information.
Authors: Nikolaos D Bikiaris; Nina Maria Ainali; Evi Christodoulou; Margaritis Kostoglou; Thomas Kehagias; Emilia Papasouli; Emmanuel N Koukaras; Stavroula G Nanaki Journal: Nanomaterials (Basel) Date: 2020-12-11 Impact factor: 5.076