Crystal field calculation of g values and zero-field splitting for high spin ferric complexes of rhombic character

For high spin ferric ions in rhombic symmetry, we have used a crystal field model to relate term splittings of the ⁴ T ₁, ² T ₂ and ⁴ T ₂ excited states to zerofield split energies and g values of the ⁶ A ₁ term. In this model five crystal field parameters were used, namely, one cubic parameter, two tetragonal parameters and second and fourth order rhombic parameters. In tetragonal symmetry with only three crystal field parameters, a simpler model including only the ⁴ T ₁ and ² T ₂ excited states is adequate to relate term energies to g values and zero-field split energies. However, we have demonstrated the importance of the ⁴ T ₂ state in rhombic crystalline fields. No higher lying terms other than ⁴ T ₂ can influence the ⁴ T ₁ term directly through the tetragonal or rhombic crystal field, Furthermore, we show that the fourth order rhombic crystal field parameter is a key parameter because the rhombic splitting of the dominant low lying ⁴ T ₁ term of high spin ferric complexes depends to first order on the fourth order crystal field potential. We have performed a computer diagonalization of the spin-orbit, electrostatic and crystal field perturbation matrix, and calculated g values and zero-field splittings in seventeen high spin ferric mixed crystalline species of varying rhombicities and for metmyoglobin and cytochrome P-450. The high spin and spin-mixed regions are developed completely to yield the crystal field term energies, zero-field splittings and basis functions together with g values.     

Optical determination of the single-ion zero-field splitting in large spin clusters

The dodecametallic Cr(III) cluster has an S = 6 ground state with an axial zero-field splitting (ZFS) of DS=6 = +0.088 cm-1. Analysis of high-resolution optical data (MCD) allows us to determine the single-ion ZFS of the constituent Cr(III) ions directly (D = -1.035 cm-1). A vector coupling analysis demonstrates that the cluster ZFS is almost entirely single-ion in origin. Thus, the relative orientations of the local and cluster magnetic axes can lead to cluster ZFS of opposite sign to the single-ion even when this is the only significant contribution.     

Ab initio studies on the zero-field splitting parameters of manganese porphyrin complexes

The magnetic property of a one-dimensional magnetic chain, 5,10,15,20-tetrakis(4-bromophenyl)porphyrinatomanganese(III) tetracyanoethenide ([MnTBrPP]⁺[TCNE]⁻), is investigated by using model complexes and ab initio calculations. In these models, MnTBrPP is reduced to a manganese porphyrin complex (MnP). The spin-polarized density functional theory (UDFT) and the hybrid UDFT were used to calculate the complexes, and Pederson’s scheme was used to calculate their zero-field splitting (ZFS) parameters. We found from the model calculations that the TCNE coordination hardly affects the magnetic anisotropy of MnP.     

EPR parameters for spin 3/2 iron in a strong crystal field with axial and rhombic symmetry components

Calculations are presented for the eigenfunctions, energy eigenvalues, and EPR g values, expected for mid-spin (S = 2/3) iron in a strong crystalline field with axial (D) and rhombic (E) symmetry components. For E/D=1/3, a polycrystalline sample is expected to exhibit identical EPR resonances from the two Kramers doublets; consequently, the temperature dependence of the overall EPR intensity is independent of the zero-field splitting.     

A high-frequency EPR study of frozen solutions of Gd(III) complexes: straightforward determination of the zero-field splitting parameters and simulation of the NMRD profiles

Gd(III) (S = 7/2) polyaminocarboxylates, used as contrast agents for Magnetic Resonance Imaging (MRI), were studied in frozen solutions by High-Frequency-High-Field Electron Paramagnetic Resonance (HF-EPR). EPR spectra recorded at 240 GHz and temperatures below 150 K allowed the direct and straightforward determination of parameters governing the strength of zero-field splitting (ZFS). For the first time, a correlation has been established between the sign of the axial ZFS parameter, D, and the nature of the chelating ligand in Gd(III) complexes: positive and negative signs have been observed for acyclic and macrocyclic complexes, respectively. Furthermore, it has been shown that complexes of the less symmetric acyclic DTPA derivatives possess a substantial rhombicity, E, in contrast to the more symmetric macrocyclic DOTA derivatives, where E is negligible. The results obtained are compatible with recent results of liquid-state EPR and allowed to simulate 1H Nuclear Magnetic Relaxation Dispersion (NMRD) profiles with more directly physically meaningful EPR and NMR parameters over the full frequency range from 0.01 to 50 MHz.     

Studies of the defect structure for Mn2+ in KTaO3 crystal from the calculation of EPR zero-field splitting

There are several mistakes in the recent paper about the theoretical studies of defect structure for Mn(2+) ion at the 12-fold tetrakaidecahedral K+ site in KTaO(3) by calculating the spin Hamiltonian (SH) parameters, so the calculated defect structure (which is smaller than those obtained from the local density approximation (LDA) method, density functional theory in the generalized gradient approximation (GGA) and the dipole moment study (DMS)) is doubtful. Therefore, we restudy the defect structure in this paper by using the reasonable expressions and parameters. The present result is in agreement with those based on LDA, GGA and DMS methods and can be regarded as reasonable. It appears that the reliability of the defect structure of impurity center determined from the calculation of SH parameter depends strongly upon reasonableness of the used expressions and parameters.     

Endor in the 3.601 GHz zero-field transition of phosphorescent quinoline C9ND7: determination of the 14N quadrupolar splitting

The ENDOR spectrum of the high-frequency ESR transition of phosphorescent quinoline in zero field is investigated. The findings are in accord with a recent analysis of Buckley et al. From the observed ENDOR frequencies the quadrupolar splitting of the ¹⁴N nucleus in the phosphorescent state is determined: ν_? = 3.04, ν₊ = 4.57 MHz. In crystals with a concentration of 0.04% quinoline in durene strong signals are observed due to ENDOR transitions involving two nitrogen atoms on pairs of quinoline molecules.     

NO spin trapping and EPR studies on the photochemistry of aliphatic aldehydes

Radicals, such as acyl, hydrated acyl, alkyl and ketyl radicals, from aliphatic aldehyde photochemistry were detected by NO spin trapping and EPR techniques. Deuterium effects on EPR spectra and the generation of radicals by 2-amido-2-propyl radical attack on substrate molecules in aqueous solution via hydrogen-atom abstraction were applied to identify radicals produced photochemically from aldehydes. Aliphatic aldehydes used in the present investigation were formaldehyde, acetaldehyde, acetaldehyde-d4, propionaldehyde, isobutyraldehyde, isopentanal and tert-pentanal. Possible reaction mechanisms are suggested.     

Direct observation of the spinorbit splitting in the Ar+ ion with a diode laser

The ²P_{$\text{1}\text{2}$}-²P_{$\text{3}\text{2}$} fine structure transition in the ground (3p⁵) state of the argon atomic ion. Ar⁺, has been detected in absorption using a tunable diode laser. The transition was calibrated against water vapour lines and measured to be 1431.644 ± 0.001 cm^?1 in ⁴⁰Ar⁺ and 3.0 × 10^?3 cm^?1 (91 MHz) smaller in ³⁶Ar⁺.     

Simulation of EPR spectra of Cu2+ complexes with statistical distribution of the g-factor and hyperfine splitting

A theoretical method for EPR-spectra simulation of Cu²⁺ complexes in frozen aqueous solutions is presented. By assuming a gaussian distribution of the g_# and A_# spin-hamiltonian parameters, the method takes very satisfactorily into account both the increase in linewidth of the hyperfine lines in order of increasing m₁ and the unequal spacing betwem the lines observed in experimental spectra and arising from strain effects during freezing.     

Single crystal EPR studies on Mn(II)-doped sarcosine cadmium chloride and sarcosine cadmium bromide: study of zero-field splitting tensor in iso-structural complexes

EPR spectra of single crystals of Mn(II)-doped sarcosine cadmium chloride and sarcosine cadmium bromide are studied in Q-band and in X-band at room temperature. Two magnetically inequivalent sites are observed in both the lattices in a distorted octahedral environment. The spin-Hamiltonian parameters are extracted and are found to have a rhombic symmetry. The angular variation of the zero-field transitions is simulated for one of the sites with an asymmetric zero-field tensor D = 480 x 10(-4) cm(-1), E = -115 x 10(-4) cm(-1) and a = 10 x 10(-4) cm(-1) for Mn(II) in sarcosine cadmium chloride and with D = 460 x 10(-4) cm(-1) E = -98 x 10(-4) cm(-1) and a = 10 x 10(-4) cm(-1) for Mn(II) in sarcosine cadmium bromide. The observed large value of zero-field tensor is due to the steric effects of the crystal packing caused by the ligands. Matumura's plot predicts an average covalency of 8.8 and 7.7% for the manganese-ligand bond in SCC and SCB lattices respectively.     

Correlation of the zero-field splittings with the n,π* and π,π* triplet levels of benzaldehydes

The n,π^* and π,π^* triplet state energies of p-chlorobenzaldehyde and p-mathoxybenzaldehyde were determined in several hosts with the aid of phosphorescence and phosphorescence excitation spectra. A linear relationship expected from the theory considering spin-orbit interaction between the closely located n,π^* and π,π^* triplet states was found to be satisfied. The spin—orbit interaction parameter, <vb>G₂>vb>² was found to be 83 cm^?2 for benzaldehydes.     

Ab initio and DFT studies of the spin-orbit and spin-spin contributions to the zero-field splitting tensors of triplet nitrenes with aryl scaffolds

Spin-orbit and spin-spin contributions to the zero-field splitting (ZFS) tensors (D tensors) of spin-triplet phenyl-, naphthyl-, and anthryl-nitrenes in their ground state are investigated by quantum chemical calculations, focusing on the effects of the ring size and substituted position of nitrene on the D tensor. A hybrid CASSCF/MRMP2 approach to the spin-orbit term of the D tensor (D(SO) tensor), which was recently proposed by us, has shown that the spin-orbit contribution to the entire D value, termed the ZFS parameter or fine-structure constant, is about 10% in all the arylnitrenes under study and less depends on the size and connectivity of the aryl groups. Order of the absolute values for D(SO) can be explained by the perturbation on the energy level and spatial distributions of π-SOMO through the orbital interaction between SOMO of the nitrene moiety and frontier orbitals of the aryl scaffolds. Spin-spin contribution to the D tensor (D(SS) tensor) has been calculated in terms of the McWeeny-Mizuno equation with the DFT/EPR-II spin densities. The D(SS) value calculated with the RO-B3LYP spin density agrees well with the D(Exptl) -D(SO) reference value in phenylnitrene, but agreement with the reference value gradually becomes worse as the D value decreases. Exchange-correlation functional dependence on the D(SS) tensor has been explored with standard 23 exchange-correlation functionals in both RO- and U-DFT methodologies, and the RO-HCTH/407 method gives the best agreement with the D(Exptl) -D(SO) reference value. Significant exchange-correlation functional dependence is observed in spin-delocalized systems such as 9-anthrylnitrene (6). By employing the hybrid CASSCF/MRMP2 approach and the McWeeny-Mizuno equation combined with the RO-HCTH/407/EPR-II//U-HCTH/407/6-31G* spin densities for D(SO) and D(SS), respectively, a quantitative agreement with the experiment is achieved with errors less than 10% in all the arylnitrenes under study. Guidelines to the putative approaches to D(SS) tensor calculations are given.     

A concept to explain the variation of the triplet zero-field splitting parameters with the structure of aromatic hydrocarbons in terms of local benzenoid characteristics

The zero-field splitting (ZFS) parameters D and E of the lowest electronically excited triplet state T₁ of a series of systematically selected pyrene derivatives have been determined by ODMR techniques. With this class of compounds as an example we intended to gain some insight into the variation of the ZFS-parameters with the structure and topology of aromatic hydrocarbons. The variation of the experimental ZFS-parameters could be explained in terms of the dipole—dipole model together with criteria describing the local benzene likeness of single C₆-rings in the molecule. For these the character orders according to Polansky were calculated on an MO-basis and the local benzenoid indices according to Randi? on a graph-theoretical basis. As these quantities for the local aromaticity were in accordance with Clar's qualitative sextet concept a qualitative principle could be formulated explaining the variation of the D-parameter with molecular structure. This principle correctly describes all known D-parameters of aromatic molecules measured so far. So for the first time, a clear and consistent explanation for the variation of D with molecular structure can be given. Also for the E-parameter a connection with molecular structure could be established; it could be demonstrated in which way the criteria of local aromaticity mentioned can be applied to decide on the sign of E. For the acene-analogue pyrene derivatives linear correlations could be established between the averaged local quantities and the ZFS-parameters D and E. These correlations allow a quantitative determination of the ZFS-parameters of further analogue pyrene compounds. Also for other series of aromatic hydrocarbons such correlations could be found as shown for the polyacene series as an example. For the latter also a strong similarity to the series of the acene-analogue pyrene derivatives was found. D- and E-values are given for the six molecules pentacene to decacene. These were calculated from both the correlation with the character orders and that with the Randi?-indices, and the result of both methods are compared.     

EPR/spin trapping study of the spontaneous addition of dioxygen on a dienol

The spontaneous addition of triplet oxygen on dienol 1, yielding endoperoxide 2, was followed by EPR/spin trapping. The use of nitroso and nitrone spin traps allowed the detection of two radical centers, showing that this reaction could likely follow a radical pathway.     

EPR, UV-vis, magnetic, spectral studies and electrochemical behaviour of mononuclear transition metal complexes derived from novel hexa-aza-macrotricyclic ligand

Aza-macrocyclic complexes have gained importance because of their pharmacological properties. Hexa-aza-macrocycles containing glutarimide efficiently coordinate as hexa-dentate ligand, to give complexes of Cu(II) possessing tetragonal structure and Mn(II), Co(II) and Ni(II) metal ions that are essentially octahedral. Spectroscopic, and chemical characterizations of these systems are presented in this article. For Ni(II) complexes results on electron transfer processes measured by cyclic voltammetry and colourimetry have been studied.     

Spectroscopic characterization and EPR spectral studies on transition metal complexes with a novel tetradentate, 12-membered macrocyclic ligand

Complexes of Cr(III), Mn(II), Co(II), Ni(II) and Cu(II) containing a tetradentate macrocyclic N-donor ligand have been prepared via template reaction of 2,3-pentanedione, ethylene-di-ammine and transition metal ions. The complexes have been characterized on the basis of the elemental analysis, molar conductance, magnetic moment susceptibility, IR, electronic and EPR spectral studies. The complexes are of high spin type and possess four coordinate tetrahedral five coordinate square pyramidal and six coordinated octahedral/tetragonal geometry.     

AB initio calculation of the zero-field splittings of the X3Σg− and B3Πg,i states of the S2 molecule

The zero-field splitting of the ³Σ_g^? ground state of S₂ is computed employing MRD CI wavefunctions obtained in a series of AO basis sets. All one- and two-electron spin—orbit interactions are included in the theoretical treatment and results are obtained and compared using second-order perturbation theory techniques and a CI-type diagonalization procedure. The computed data are found to be in good agreement with experiment, including the dependence of the splitting parameter on vibrational quantum number, and are seen to be quite stable with respect to variations in the AO basis as well as the number of inner-shell core orbitals maintained doubly occupied in all Slater determinants employed in the theoretical treatment.