Relativistically parameterized extended Hückel calculations. VII. Nuclear spin—spin coupling tensors and densities of states for cluster models of CdTe, HgTe and PbTe

Relativistic and QED corrections to one-bond indirect nuclear spin-spin couplings in X$_2^{2+}$ and X$_3^{2+}$ ions (X = Zn, Cd, Hg)

The indirect spin-spin coupling tensor, $\bm J$, between mercury nuclei in systems containing this element can be of the order of few kHz and one of the largest measured. We analysed the physics behind the electronic mechanisms that contribute to the one- and two-bond couplings $^n \bm{J}_{\mathrm{Hg}-\mathrm{Hg}}$ ($n=1, 2$). For doing so, we performed calculations for $J$-couplings in the ionized $X_2^{2+}$ and $X_3^{2+}$ linear molecules ($X$ = Zn, Cd, Hg) within polarization propagator theory, using the random phase approximation and the pure zeroth--order approximation with Dirac--Hartree--Fock and Dirac--Kohn--Sham orbitals, both at four-component and ZORA levels. We show that the ``paramagnetic-like' mechanism contribute with more than 99.98\% to the total isotropic value of the coupling tensor. By analyzing the molecular and atomic orbitals involved in the total value of the response function, we find that the $s$-type valence atomic orbitals have a predominant role in the description of the coupling. This fact allows us to develop an effective model from which QED effects on $J$-couplings in the aforementioned ions can be estimated. Those effects were found to be within the interval $(0.7;~1.7)$\% of the total relativistic effect on isotropic one-bond $^1\bm{J}$ coupling, though ranging those corrections between the interval $(-0.4;~-0.2)$\% in Zn-containing ions, to $(-1.2;~-0.8)$\% in Hg-containing ions, of the total isotropic coupling constant in the studied systems. The estimated QED corrections show a visible dependence on the nuclear charge $Z$ of each atom $X$ in the form of a power-law proportional to $Z_X^5$.

Single-Crystal (31)P NMR and X-ray Diffraction Study of a Molybdenum Phosphine Complex: (5-Methyldibenzophosphole)pentacarbonylmolybdenum(0)

The molecular structure of (5-methyldibenzophosphole)pentacarbonylmolybdenum(0), 1, has been determined by X-ray crystallography. The crystal is monoclinic C2/c, Z = 8, with unit cell dimensions of: a = 31.113(2) Å, b =7.7917(5) Å, c = 17.9522(12) Å, and beta = 122.135(4) degrees. Least-squares refinement converged to R(F) = 0.0245 for 2407 independent reflections. The molecular structure is typical of phosphine-substituted metal carbonyls. It contains an approximate mirror plane which bisects the dibenzophosphole framework. Phosphorus-31 NMR spectra of powder and single-crystal samples of 1 have been obtained with cross-polarization and (1)H high-power decoupling. The (31)P CP/MAS NMR spectra exhibit exceptionally well-resolved satellites due to spin-spin coupling interactions with (95,97)Mo (I = (5)/(2)). Using first-order perturbation theory, the multiplets have been analyzed to yield (1)J((95,97)Mo,(31)P) = 123(2) Hz and estimates of the molybdenum nuclear quadrupolar coupling constants, chi((95)Mo) = -0.87 MHz and chi((97)Mo) = 10.1 MHz. Phosphorus-31 NMR spectra of a large single crystal of 1 have been investigated as a function of orientation about three orthogonal axes in the applied magnetic field. Analysis of the data yields the three principal components of the phosphorus chemical shift tensor, delta(11) = 112 ppm, delta(22) = -23 ppm, and delta(33) = -40 ppm; delta(22) lies close to the Mo-P bond (8 degrees ), while delta(11) lies in the approximate mirror plane. The phosphorus chemical shift tensor determined for 1 is compared with the limited anisotropic phosphorus shift data available in the literature.