Abstract:Understanding different bonding environments in various metal borides provides insight into their structures and physical properties. Polycrystalline aluminum diboride (AlB 2 ) samples have been synthesized and compared both with a commercial sample and with the literature. One issue that arose is the relative ease with which boron-rich and aluminum deficient phases of aluminum borides can be presented in AlB 2 . Here, we report 27 Al, 11 B nuclear magnetic resonance (NMR) spectroscopy and first-principles ca… Show more
“…In the referred spectrum, two additional peaks at 1640 and 0 ppm were assigned to elemental Al and aluminum oxide, Al 2 O 3 , respectively, impurities claimed to be inevitably present in the samples. At this point, it is important to recall that the experimental shifts of these two latter compounds have already been successfully predicted with the GIPAW method and with the same PBE PAW data sets used in this work, , which indicates a fair possibility of revisiting the peak assignments made in the literature for AlB 2 spectra, proposing that the actual experimental shift of pure AlB 2 contributes to the sharp and intense peak around 1680 ppm in the spectrum reported in ref and not to the broad peak at 880 ppm. Naturally, this also further explains the huge disagreement between the experimental 27 Al chemical shift of AlB 2 and its theoretical counterpart, as depicted in Figure .…”
Section: Resultssupporting
confidence: 61%
“…In a recent study, Turner et al 63 brought up challenges in synthesizing pure AlB 2 and hence in obtaining an ssNMR spectrum with the only broad peak at 880 ppm expected for this compound. In the referred spectrum, two additional peaks at 1640 and 0 ppm were assigned to elemental Al and aluminum oxide, Al 2 O 3 , respectively, impurities claimed to be inevitably present in the samples.…”
This
study reports first-principles simulations of 27Al solid-state
nuclear magnetic resonance (ssNMR) shifts (δiso
exp) carried out
for a set of seven Al-containing intermetallic compounds. With the
aim of assessing accuracy issues in such calculations using the gauge-including
projector augmented waves method, the referred set was sought to cover
the wide range of experimental 27Al δiso
exp shifts reported
in the literature for this type of compound in a representative way
(from about −200 to 1600 ppm). From a technical/computational
perspective, the findings allowed the detection of critical sources
of inaccuracy and they were addressed to different approximations
inherent in the computational methods. Among those, it is possible
to highlight the formulation of the exchange-correlation energy functional
in density functional theory, which at least for the 27Al nuclide has proved to be more critical than the frozen-core approximation,
especially in the case of weakly magnetic aluminides. From a practical
point of view, particularly regarding a possible use of such simulations
for a more efficient interpretation of experimental ssNMR spectra,
key physical insights into the magnetic screening mechanisms underlying
the 27Al δiso
exp shifts are reported, in which theory supports
that in addition to the contributions of closed orbitals, those coming
from unpaired electronic spins arise from two main competing hyperfine
interactions: the first one with local magnetic moments at specific
sites, resulting in a shielding effect and even negative shifts, and
the second mechanism in which large Knight shifts to downfield gradually
dominate in those compounds having a rather metallic character.
“…In the referred spectrum, two additional peaks at 1640 and 0 ppm were assigned to elemental Al and aluminum oxide, Al 2 O 3 , respectively, impurities claimed to be inevitably present in the samples. At this point, it is important to recall that the experimental shifts of these two latter compounds have already been successfully predicted with the GIPAW method and with the same PBE PAW data sets used in this work, , which indicates a fair possibility of revisiting the peak assignments made in the literature for AlB 2 spectra, proposing that the actual experimental shift of pure AlB 2 contributes to the sharp and intense peak around 1680 ppm in the spectrum reported in ref and not to the broad peak at 880 ppm. Naturally, this also further explains the huge disagreement between the experimental 27 Al chemical shift of AlB 2 and its theoretical counterpart, as depicted in Figure .…”
Section: Resultssupporting
confidence: 61%
“…In a recent study, Turner et al 63 brought up challenges in synthesizing pure AlB 2 and hence in obtaining an ssNMR spectrum with the only broad peak at 880 ppm expected for this compound. In the referred spectrum, two additional peaks at 1640 and 0 ppm were assigned to elemental Al and aluminum oxide, Al 2 O 3 , respectively, impurities claimed to be inevitably present in the samples.…”
This
study reports first-principles simulations of 27Al solid-state
nuclear magnetic resonance (ssNMR) shifts (δiso
exp) carried out
for a set of seven Al-containing intermetallic compounds. With the
aim of assessing accuracy issues in such calculations using the gauge-including
projector augmented waves method, the referred set was sought to cover
the wide range of experimental 27Al δiso
exp shifts reported
in the literature for this type of compound in a representative way
(from about −200 to 1600 ppm). From a technical/computational
perspective, the findings allowed the detection of critical sources
of inaccuracy and they were addressed to different approximations
inherent in the computational methods. Among those, it is possible
to highlight the formulation of the exchange-correlation energy functional
in density functional theory, which at least for the 27Al nuclide has proved to be more critical than the frozen-core approximation,
especially in the case of weakly magnetic aluminides. From a practical
point of view, particularly regarding a possible use of such simulations
for a more efficient interpretation of experimental ssNMR spectra,
key physical insights into the magnetic screening mechanisms underlying
the 27Al δiso
exp shifts are reported, in which theory supports
that in addition to the contributions of closed orbitals, those coming
from unpaired electronic spins arise from two main competing hyperfine
interactions: the first one with local magnetic moments at specific
sites, resulting in a shielding effect and even negative shifts, and
the second mechanism in which large Knight shifts to downfield gradually
dominate in those compounds having a rather metallic character.
“…However, the experimental reference does not distinguish between both 11 B species (−10.3 ppm) leaving it open whether this is caused by (solvation) effects which are not included here or from different accuracies of GIAO and GIPAW. Similarly, B (4,6,8,11) and B(9,10) in (15) are indistinguishable by experimental observation. In both cases, GIPAW predicts those accidental degeneracies more accurately than GIAO.…”
Section: ■ Results and Discussionmentioning
confidence: 63%
“…In this regard, ab initio calculations of the electronic structure indicated that a deficiency of aluminum in the measured probe of AlB 2 caused a reduction of the measured 27 Al shift. 6 These are just a few of numerous examples that the literature draws a close connection between bonding situations and measurable magnetic parameters of NMR in general.…”
Section: ■ Introductionmentioning
confidence: 99%
“…Recent studies using solid-state nuclear magnetic resonance (SSNMR) spectroscopy on crystalline (β-) and amorphous boron as well as on the metal borides ReB 2 , AlB 2 , and WB 4 show that this analytical technique has the capability to study structural and electronic properties, for example, bonding situations and (spin–lattice) dynamics, on an atomic scale for solids containing boron. − Furthermore, it may help to clarify ambiguities and overcome limitations of the conventional X-ray diffraction (XRD) investigations. Combined with theoretical methods, SSNMR experiments may even provide an understanding of (unexpected) observed effects.…”
In this work, we perform first-principle density functional theory calculations with the Perdew−Burke−Ernzerhof (PBE) exchange correlation functional to compare the results of the gauge-including atomic orbital (GIAO) method with the gauge-including projector-augmented wave (GIPAW) approach for isotropic 11 B nuclear magnetic resonance shifts. GIPAW had been used successfully for the theoretical calculation of nuclear magnetic parameters of 11 B species in strong ionic solid-phase compounds such as borates but had been applied very rarely to structures where boron is mainly involved in complex covalent bonding situations, for example, in icosahedra of boron-rich borides. Thus, we investigate the accuracy of both well-known methods and reliability of the effective treatment of core electrons on a test set containing 16 experimentally known closo-(hetero)dodecaboranes. In general, we find very good agreement between GIAO and GIPAW when compared to experimental observations. However, accidental degeneracies of the shift values are better predicted by GIPAW. The optimized molecular geometries on the PBE level agree well with gaseous electron diffraction data and lead to theoretical isotropic chemical 11 B shifts with root-mean-square errors of 2.1 and 1.0 ppm depending on the used model of converting absolute shieldings to chemical shifts. The comparison with results from hybrid functionals (B3LYP, B3LYP-D2, and PBE0) shows a minor improvement in accuracy, which is in agreement with 13 C shifts of sp 3 -hybridized species. In order to prove the reliability of the conversion parameters obtained by PBE, we report the calculated 11 B shifts of 1,2-, 1,7-, and 1,12-PCB 10 H 11 with GIAO and GIPAW to our knowledge for the first time. Additionally, Bader's analysis is carried out on the converged electron density for all boron species within the molecular test set, yielding no simple direct relation between charge and isotropic shifts.
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