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Dramatic relativistic and magnetic Breit effects for the superheavy reaction Og + 3Ts$_2$ -> OgTs$_6$: Prediction of atomization energy and the existence of the superheavy octahedral Oganesson hexatennesside OgTs$_6$

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 Added by Walter Loveland
 Publication date 2021
  fields Physics
and research's language is English




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Our gargantuan ab initio all-electron fully relativistic Dirac-Fock (DF), nonrelativistic (NR) Hartree-Fock(HF) and Dirac-Fock-Breit-Gaunt(DFBG) molecular SCF calculations for the superheavy octahedral Oganesson hexatenniside OgTs$_6$ predict atomization energy (Ae) of 9.47, -5.54and 9.37 eV, at the optimized Os-Ts bond distances of 3.35, 3.34 and 3.36 angstroms, respectively. There are dramatic effects of relativity for the atomization energy of OgTs$_6$ (with seven superheavy elements and 820 electrons) of ~ 15.0 eV each at both the DF and DFBG levels of theory, respectively. Our calculated energy of reaction for the titled superheavy reaction Og + 3Ts$_2$ -> OgTs$_6$ at the DF, NR and DFBG levels of theory is 6.33, 8.81, and 6.26 eV, respectively. Mulliken analysis as implemented in the DIRAC code for our DF and NR calculations (using the dyall.ev4z basis) yields the charges Og(+0.60) and Og(+0.96), respectively on the central Og atom indicating that our relativistic DF calculations predict octahedral OgTs$_6$ to be less ionic. However, due caution must be used to interpret the results of Mullikens population analysis, which is highly basis set dependent.

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Our all-electron fully relativistic Dirac-Fock (DF) and nonrelativistic (NR) Hartree-Fock (HF) SCF molecular calculations for the superheavy tetrahedral (T$_d$) oganesson tetratennesside OgT$_4$ predict atomization energy (Ae) of 7.45 and -11.21 eV, respectively. Our DF and NR calculations, however for the square planar (D$_{4h}$)OsTs$_4$ predict atomization energy (Ae) o 6.34 and -8.56 ev, respectively. There are dramatic relativistic effects for the atomization energy of T$_d$ and D$_{4h}$ OgT$_4$ of -18.65 eV and 14.90 eV, respectively. Whereas our DF calculations predict the T$_d$OgT$_4$ to be more stable than the D$_{4h}$ OgT$_4$ by ~1.10 eV, our NR calculations predict the D$_{4h}$ OgT$_4$ to be more stable than the T$_d$ OgT$_4$ by ~2.65eV. Our NR calculations predict both the T$_d$ and D$_{4h}$ OgTs$_4$ to be unbound by 11.21 and 8.56 eV, respectively. However our relativistic DF calculations predict both the T$_d$ and D$_{4h}$ OgT$_4$ to be bound by 7.45 and 6.34 eV respectively and so the relativistic treatment is mandatory for bonding and binding in the pentatomic superheavy system with 586 electrons involving the two heaviest SHE Ts and Og.
Our all electron (DFBG) calculations show differences between relativistic and non-relativistic calculations for the structure of the isomers of Og(CO)6
We present a detailed low-temperature investigation of the statics and dynamics of the anions and methyl groups in the organic conductors (TMTSF)$_2$PF$_6$ and (TMTSF)$_2$AsF$_6$ (TMTSF : tetramethyl-tetraselenafulvalene). The 4 K neutron scattering structure refinement of the fully deuterated (TMTSF)$_2$PF$_6$-D12 salt allows locating precisely the methyl groups at 4 K. This structure is compared to the one of the fully hydrogenated (TMTSF)$_2$PF$_6$-H12 salt previously determined at the same temperature. Surprisingly it is found that deuteration corresponds to the application of a negative pressure of 5 x 10$^2$ MPa to the H12 salt. Accurate measurements of the Bragg intensity show anomalous thermal variations at low temperature both in the deuterated PF$_6$ and AsF$_6$ salts. Two different thermal behaviors have been distinguished. Low-Bragg-angle measurements reflect the presence of low-frequency modes at characteristic energies {theta}$_E$ = 8.3 K and {theta}$_E$ = 6.7 K for the PF$_6$-D12 and AsF$_6$-D12 salts, respectively. These modes correspond to the low-temperature methyl group motion. Large-Bragg-angle measurements evidence an unexpected structural change around 55 K which probably corresponds to the linkage of the anions to the methyl groups via the formation of F...D-CD2 bonds observed in the 4 K structural refinement. Finally we show that the thermal expansion coefficient of (TMTSF)$_2$PF$_6$ is dominated by the librational motion of the PF$_6$ units. We quantitatively analyze the low-temperature variation of the lattice expansion via the contribution of Einstein oscillators, which allows us to determine for the first time the characteristic frequency of the PF6 librations: {theta}$_E$ = 50 K and {theta}$_E$ = 76 K for the PF$_6$-D12 and PF$_6$-H12 salts, respectively.
Electronic spectra of C$_6$H are measured in the $18,950-21,100$ cm$^{-1}$ domain using cavity ring-down spectroscopy of a supersonically expanding hydrocarbon plasma. In total, 19 (sub)bands of C$_6$H are presented, all probing the vibrational manifold of the B$^2Pi$ electronically excited state. The assignments are guided by electronic spectra available from matrix isolation work, isotopic substitution experiments (yielding also spectra for $^{13}$C$_6$H and C$_6$D), predictions from ab initio calculations as well as rotational fitting and vibrational contour simulations using the available ground state parameters as obtained from microwave experiments. Besides the $0_0^0$ origin band, three non-degenerate stretching vibrations along the linear backbone of the C$_6$H molecule are assigned: the $ u_6$ mode associated with the C-C bond vibration and the $ u_4$ and $ u_3$ modes associated with C$equiv$C triple bonds. For the two lowest $ u_{11}$ and $ u_{10}$ bending modes, a Renner-Teller analysis is performed identifying the $mu^2Sigma$($ u_{11}$) and both $mu^2Sigma$($ u_{10}$) and $kappa^2Sigma$($ u_{10}$) components. In addition, two higher lying bending modes are observed, which are tentatively assigned as $mu^2Sigma$($ u_9$) and $mu^2Sigma$($ u_8$) levels. In the excitation region below the first non-degenerate vibration ($ u_6$), some $^2Pi-^{2}Pi$ transitions are observed that are assigned as even combination modes of low-lying bending vibrations. The same holds for a $^2Pi-^{2}Pi$ transition found above the $ u_6$ level. From these spectroscopic data and the vibronic analysis a comprehensive energy level diagram for the B$^2Pi$ state of C$_6$H is derived and presented.
The synthesis and characterization of vanadium-based kagome metals YV$_6$Sn$_6$ and GdV$_6$Sn$_6$ are presented. X-ray diffraction, magnetization, magnetotransport, and heat capacity measurements reveal an ideal kagome network of V-ions coordinated by Sn and separated by triangular lattice planes of rare-earth ions. The onset of low-temperature, likely noncollinear, magnetic order of Gd spins is detected in GdV$_6$Sn$_6$, while V-ions in both compounds remain nonmagnetic. Density functional theory calculations are presented modeling the band structures of both compounds, which can be classified as $mathbb{Z}_2$ topological metals in the paramagnetic state. Both compounds exhibit high mobility, multiband transport and present an interesting platform for controlling the interplay between magnetic order associated with the $R$-site sublattice and nontrivial band topology associated with the V-based kagome network. Our results invite future exploration of other $R$V$_6$Sn$_6$ ($R$=rare earth) variants where this interplay can be tuned via $R$-site substitution.
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