Abstract:The full crystal structure of becquerelite mineral phase was successfully determined using theoretical solid-state methods for the first time. Additionally, a complete study of its thermodynamic and mechanical properties and stability is reported.
“…[77] The calculated elasticity matrix, C i j , is reported in Table S5, Supporting Information. As in previous studies, [1,2,5,6,[83][84][85][86] the Reuss approximation was chosen as the best approach in the case of silver oxalate because it provided the best comparison of the results for the calculated bulk modulus, B = 9.64 ± 2.51 GPa, with that determined from the EOS. For monoclinic crystals, the generic necessary and sufficient Born criterion is that all eigenvalues of the C matrix be positive.…”
mentioning
confidence: 99%
“…The mechanical properties of polycrystalline silver oxalate were determined using the Voigt, [80] Reuss, [81] and Hill [82] schemes. As in previous studies, [1,2,5,6,[83][84][85][86] the Reuss approximation was chosen as the best approach in the case of silver oxalate because it provided the best comparison of the results for the calculated bulk modulus, B = 9.64 ± 2.51 GPa, with that determined from the EOS. The results are reported in Table 1.…”
The crystal structure and mechanical properties of silver oxalate, Ag 2 C 2 O 4 , are determined using first-principles solid-state methods. The set of calculated mechanical properties include the bulk modulus and its pressure derivatives, the Young and shear moduli, the Poisson's Ratio and the ductility, hardness, and anisotropy indices. Silver oxalate is a highly anisotropic brittle material possessing a small bulk modulus of 9.6 GPa. It displays the negative Poisson's ratio (NPR) phenomenon, the value of the lowest NPR having a very large magnitude, −1.27. Besides, it exhibits the most extreme form of the negative linear compressibility (NLC) phenomenon found to date. Silver oxalate displays anisotropic NLC for external pressures in the range −0.1 to −2.4 GPa directed along the [010] crystallographic direction and isotropic NLC for isotropic pressures in the range −0.51 to 13.4 GPa. The lowest value of the negative compressibility, −831.9 ± 10 TPa −1 , is found for an isotropic pressure of −0.16 GPa. The absolute value of the computed lowest NLC is extremely large, about three times larger than the absolute value of the lowest NLC found so far. The NLC pressure range is also very wide, its width being more than two times the largest range found to date.
“…[77] The calculated elasticity matrix, C i j , is reported in Table S5, Supporting Information. As in previous studies, [1,2,5,6,[83][84][85][86] the Reuss approximation was chosen as the best approach in the case of silver oxalate because it provided the best comparison of the results for the calculated bulk modulus, B = 9.64 ± 2.51 GPa, with that determined from the EOS. For monoclinic crystals, the generic necessary and sufficient Born criterion is that all eigenvalues of the C matrix be positive.…”
mentioning
confidence: 99%
“…The mechanical properties of polycrystalline silver oxalate were determined using the Voigt, [80] Reuss, [81] and Hill [82] schemes. As in previous studies, [1,2,5,6,[83][84][85][86] the Reuss approximation was chosen as the best approach in the case of silver oxalate because it provided the best comparison of the results for the calculated bulk modulus, B = 9.64 ± 2.51 GPa, with that determined from the EOS. The results are reported in Table 1.…”
The crystal structure and mechanical properties of silver oxalate, Ag 2 C 2 O 4 , are determined using first-principles solid-state methods. The set of calculated mechanical properties include the bulk modulus and its pressure derivatives, the Young and shear moduli, the Poisson's Ratio and the ductility, hardness, and anisotropy indices. Silver oxalate is a highly anisotropic brittle material possessing a small bulk modulus of 9.6 GPa. It displays the negative Poisson's ratio (NPR) phenomenon, the value of the lowest NPR having a very large magnitude, −1.27. Besides, it exhibits the most extreme form of the negative linear compressibility (NLC) phenomenon found to date. Silver oxalate displays anisotropic NLC for external pressures in the range −0.1 to −2.4 GPa directed along the [010] crystallographic direction and isotropic NLC for isotropic pressures in the range −0.51 to 13.4 GPa. The lowest value of the negative compressibility, −831.9 ± 10 TPa −1 , is found for an isotropic pressure of −0.16 GPa. The absolute value of the computed lowest NLC is extremely large, about three times larger than the absolute value of the lowest NLC found so far. The NLC pressure range is also very wide, its width being more than two times the largest range found to date.
“…Therefore, the combination of methods, usually comprising XRD structure determination and with the parameter from Density Functional Theory (DFT) optimization of crystal structure, has become to be used more widely. [24][25][26] The current study demonstrates the possibility of elucidation H atoms in the structure of highly-absorbing material for Xrays, where the localization of hydrogens remains poorly constraint. Here, we demonstrate the successful hydrogen atom localization by combining X-ray diffraction and a recently developed Torque method.…”
The crystal structure of lead uranyl-oxide hydroxy-hydrate mineral curite, ideally Pb 3 (H 2 O) 2 [(UO 2 ) 4 O 4 (OH) 3 ] 2 , was studied by means of single-crystal X-ray diffraction and theoretical calculations in order to localize positions of hydrogen atoms in the structure. This study has demonstrated that hydrogen atoms can be localized successfully also in materials for which the conventional approach of structure analysis failed, here due to very high absorption of X-rays by the mineral matrix. The theoretical calculations, based on the Torque method, provide a robust, fast realspace method for determining H 2 O orientations from their rotational equilibrium condition. In line with previous results we found that curite is orthorhombic, with space group Pnma, unit-cell parameters a ¼ 12.5510(10), b ¼ 8.3760(4), c ¼ 13.0107(9)Å, V ¼ 1367.78(16)Å 3 , and two formula units per unit cell. The structure (R 1 ¼ 3.58% for 1374 reflections with I > 3sI) contains uranyl-hydroxo-oxide sheets of the unique topology among uranyl oxide minerals and compounds and an interlayer space with Pb 2+ cations and a single H 2 O molecule, which is coordinated to the Pb-site. Current results show that curite is slightly non-stoichiometric in Pb content ($3.02 Pb per unit cell, Z ¼ 2); the charge-balance mechanism is via (OH) 4 O 2 substitution within the sheets of uranyl polyhedra. Disproving earlier predictions, the current study shows that curite contains only one H 2 O group, with [4]-coordinated oxygen. The hydrogen bonding network maintains the bonding between the sheets in addition to Pb-O bonds;among them, a H-bond is crucial between the OH group on an apical O Uranyl atom of an adjacent sheet that stabilizes the entire structure. The results show that the combination of experimental X-ray data and the Torque method can successfully reveal hydrogen bonding especially for complex crystal structures and materials where X-rays fail to provide unambiguous hydrogen positions.
“…The development of a new high-quality norm conserving relativistic pseudopotential specific for uranium atom [27][28], has allowed an accurate theoretical solid-state treatment of these materials [29][30]. These theoretical studies have been used not only as a complement of the experimental techniques allowing the determination of the complete crystal structures of many uranyl containing materials [31][32][33] and the precise assignment of their Raman spectra [26,28,31,[34][35], but also as a very powerful predictive tool of their thermodynamic, mechanical and optical properties [31][32][33][34][35][36][37][38][39][40][41][42][43][44].…”
Section: Introductionmentioning
confidence: 99%
“…The computations were carried out by using Periodic Density Functional Theory with plane waves and pseudopotentials [50]. The theoretical determination of this Raman spectrum was possible due to the development of the high-quality pseudopotential specific for the uranium atom [27][28] mentioned in previous paragraphs and also to the recent optimization of the full crystal structure of this mineral [32] including the position of all hydrogen atoms in the corresponding unit cell. Since the determination of the hydrogen atom positions was not possible by structure refinement of the X-ray diffraction data in previous experimental works [51][52][53][54], they were fully optimized using theoretical methods [32].…”
Raman spectroscopy is one of the main analytic techniques used to identify uranyl-containing minerals. However, the assignment of the Raman spectra of these minerals is usually performed by using empirical arguments leading to unreliable assignments. In this paper, the Raman spectrum of the hydrated uranyl oxyhydroxide mineral becquerelite, Ca(UO 2) 6 O 4 (OH) 6 • 8 H 2 O, was studied by means of rigorous theoretical solid-state calculations. The computations were carried out using Periodic Density Functional Theory with plane waves and pseudopotentials. The theoretical determination of this Raman spectrum was possible due to the previous development of a high-quality norm-conserving relativistic pseudopotential specific for the uranium atom and the recent optimization of the full crystal structure of this mineral, including the position of all hydrogen atoms in the corresponding unit cell. These two pieces of knowledge were formerly used in order to study the structural, mechanical, and thermodynamic properties of this mineral, but due to the very large size of the unit cell, the determination of the vibrational spectra was not possible. The corresponding results for the Raman spectrum, resulting from an intensive computational work, are reported here. The calculated Raman spectrum was compared with the experimental spectrum and the results were found to be in very good agreement. Therefore, a normal mode analysis of the theoretical spectra was performed to assign the main bands of the Raman spectrum. This assignment improved significantly the current empirical assignment of the bands of the Raman spectrum of becquerelite mineral.
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