Automatic fitting procedures for EPR spectra of disordered systems: matrix diagonalization and perturbation methods applied to fluorocarbon radicals

Two types of automatic fitting procedures for EPR spectra of disordered systems have been developed, one based on matrix diagonalization of a general spin Hamiltonian, the other on 2nd order perturbation theory. The first program is based on a previous Fortran code complemented with a newly written interface in Java to provide user-friendly in and output. The second is intended for the special case of free radicals with several relatively weakly interacting nuclei, in which case the general method becomes slow. A least squares' fitting procedure utilizing analytical or numerical derivatives of the theoretically calculated spectrum with respect to the g- and hyperfine structure (hfs) tensors was used to refine those parameters in both cases. 'Rigid limit' ESR spectra from radicals in organic matrices and in polymers, previously studied experimentally at low temperature, were analyzed by both methods. Fluorocarbon anion radicals could be simulated, quite accurately with the exact method, whereas automatic fitting on, e.g. the c-C(4)F(8)(-) anion radical is only feasible with the 2nd order approximative treatment. Initial values for the (19)F hfs tensors estimated by DFT calculations were quite close to the final. For neutral radicals of the type XCF(2)CF(2)* the refinement of the hfs tensors by the exact method worked better than the approximate. The reasons are discussed. The ability of the fitting procedures to recover the correct magnetic parameters of disordered systems was investigated by fittings to synthetic spectra with known hfs tensors. The exact and the approximate methods are concluded to be complementary, one being general, but limited to relatively small systems, the other being a special treatment, suited for S=1/2 systems with several moderately large hfs.     

电子顺磁共振现场研究多孔电极表面自由基的电化学行为

本文建立了一套ESR-EC联合现场测试多孔电极表面顺磁粒子的方法, 并对多孔碳电极上吸附的醌化合物在电极上还原时的自由基中间产物的ESR进行了研究。首次获得了固体电极表面自由基有hfs的高分辨ESR信号。研究结果表明,醌在RB碳电极表面有多种行为各异的吸附态。在测量电位范围内, 观察到了四种吸附醌化合物是通过自由基过程还原的。其中两种通过可旋转单键吸附到碳电极表面, 给出有hfs的ESR谱; 另两种表现为各向异性ESR信号,可能是通过多个位置吸附在碳表面。     

π-Electronic structure of the nitrofuran system

Anion radicals of 2-vinylene derivatives of 5-nitrofuran were obtained by electrochemical generation. The hyperfine structure (hfs) of the ESR spectra of these anion radicals indicates delocalization of the unpaired electron over their entire π-electron system. The effect of the vinylene grouping on the distribution of the unpaired electron in the anion radicals and on the distribution of the unpaired electron in the vinylene grouping itself was examined on the basis of the hfs constants. It was found that the vinylene grouping by localizing more than 10% of the density of the unpaired electron on itself reduces, by a factor of 1.4, the effect of substituents in the 2 position of 5-nitrofuran on the distribution of the spin of the unpaired electron in the nitrofuran framework.     

Electron spin resonance studies of several anion radicals of nitro-substituted thioacylpiperidines and morpholines

The radical anions of m- and p- nitro-substituted derivatives of several classes of N-(thioacyl)-piperidines and -morpholines have been studied by ESR spectroscopy. The anion radicals were found to be centred on the nitro group, and the distribution of the unpaired electron was found to be dependent on the extent of conjugation between the thiocarbonyl group and the aromatic moiety of the molecule. The hfs constants were discussed in terms of the spin densities calculated by the McLachlan procedure.     

Radical Cations and Radical Anions of Three Bridgehead Azopolycycloalkanes: A fluid-solution ESR study

The radical mono-ions of three azoalkanes in which the azo group is connected to the polycyclic alkane moieties at the bridgehead C-atoms, i.e. 1,1′-azonorbornane ( 1 ), 1,1′-azotwistane ( 2 ), and 1,1′-azobicyclo[3.2.1]octane ( 3 ), were studied in fluid solution by ESR spectroscopy. According to the ESR parameters and MO models, the radical cations of 1–3 should be considered as σ radicals, whereas the corresponding radical anions are π radicals. INDO calculations point to a a remarkable dependence of the ¹⁴N-coupling constants on the geometry at the N-atoms in the radical cations of aliphatic azo compounds.     

Radical Cations and Radical Anions of Three Bridgehead Azopolycycloalkanes: A Fluid-Solution ESR Study

The radical mono-ions of three azoalkanes in which the azo group is connected to the polycyclic alkane moieties at the bridgehead C-atoms, i. e. 1,1′-azonorbornane ( 1 ), 1,1′-azotwistane ( 2 ), and 1,1′-azobi-cyclo[3.2.1]octane ( 3 ), were studied in fluid solution by ESR spectroscopy. According to the ESR parameters and MO models, the radical cations of 1 – 3 should be considered as σ radicals, whereas the corresponding radical anions are π radicals. INDO calculations point to a remarkable dependence of the ^l4N-coupling constants on the geometry at the N-atoms in the radical cations of aliphatic azo compounds.     

An investigation of hemibenzopinacolate radicals used in the synthesis of block-copolymers: ESR measurements and semiempirical calculations

Hemibenzopinacolate radicals may be incorporated in a polymer chain and the latter used as a macromolecular initiator. Kinetics of polymerization are strongly dependent on the substitution of the pinacolate. A large family of substituted (CH₃)₃SiOC(C₆H₅)₂ radicals has been synthesized and studied by electron spin resonance (ESR) and semiempirical molecular orbital calculations. ESR spectra are well resolved and, except for one derivative, allow an unambiguous determination of the hyperfine coupling splitting (HFS) constants. The ground state properties have been calculated within different approximations, namely MNDO, AM1 and PM3 for the geometry optimization and INDO for spin density. Geometries obtained within AM1 and PM3 approximations are satisfactory. The HFS constants evaluated using McConnell type relations and spin densities are in a quite good agreement with the experimental ones. It turns out that the effect of substitution on kinetics of polymerization cannot be attributed to any drastic change in the charge distribution.     

C~6~0^2^-单态和三态的结构和光谱性质

用INDO系列方法对C~6~0^2^-单态和三态分别进行了几何构型优化, 得到D~2~h对称性的构型, 表明C~6~0^2^-确实发生了Jahn-Teller畸变, 导致双键变长, 形成15种键, 9种不等同碳原子, 其额外负电荷主要分布在赤道附近, 以此构型为基础,计算了C~6~0^2^-的电子光谱, 与实验值基本一致, 对光谱进行了理论指认, 说明了光谱红移的原因。     

ESR Studies of λ-Irradiated Poly[3,3-bis(chloromethyl)oxetane]

Poly[3,3-bis(chloromethyl)] oxetane in vacuo, after λ-irradiation at 77°K and room temperature, showed ESR spectra consisting of a triplet (hfs of 22.0G) and a doublet (hfs of 17.8G), respectively. The triplet ESR spectrum is attributed to the -CH₂-C(CH₂Cl)-CH₂ -O- radical and the doublet ESR spectrum is attributed to the -CH₂-C(CH₂Cl)₂-CH-O- radical. The G values for formation of radicals are estimated to be 0.3 and 0.5 at 298 and 77°K, respectively.     

Radical-based grafting of GMA on sutures of different nature

Irradiation of a number of different sutures largely employed in the clinical practice with either high energy electrons or with γ-rays followed by quenching with glycidyl methacrylate (GMA) conveniently led to derivatization through a radical-based process. The radicals involved were detected by means of ESR spectroscopy and were characterized on the basis of their ESR spectral parameters which were also found to be consistent with the hfs constants predicted by DFT calculations. Evidence of the GMA derivatization of the sutures was obtained via(13)C CP-MAS NMR spectroscopy, while its extent was evaluated gravimetrically.     

Low-temperature EPR study of radical cations of vinyl ethers in a Freon matrix

Using low-temperature EPR the transformations of radical cations of aliphatic vinyl ethers radiolytically generated in a Freon matrix have been investigated. Three-line spectra found at 77 K [hfs constants of 1.5 mT (1H) and 2.2 mT (1H)] and at 95 K [1.9–2.1 mT (2H)] were attributed to the radical cation. A quartet was observed at 130 K, usually with binomial intensities [hfs constants of 1.3 mT (3H)] and a triplet [1.7–1.9 mT (2H)] was found after cooling samples back to 95 K. The conversion of the quartet to the triplet was found to be thermally reversible and both spectra are assigned to different states of a (distonic) dimer cation.     

Quinoxaline N-oxide ion radicals. 2. Structures of anion radicals of N-oxides of hydroxymethyl derivatives of quinoxaline and products of their electrochemical reduction

The redox properties of 1,4-dioxides of hydroxymethyl and formyl derivatives of quinoxaline were studied by means of EPR spectroscopy and polarography. The electrochemical reduction of the 1,4-dioxides proceeds in several steps with successive deoxidation and the formation of dianions of substituted quinoxalines and is also accompanied by an intramolecular redox process. The experimentally observed hfs constants in the EPR spectra of the anion radicals formed in the reduction are in agreement with the corresponding values calculated by the INDO method.See [1] for communication 1.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 10, pp. 1412–1416, October, 1985.The authors thank I. A. Abronin for his assistance in performing the quantum-chemical calculations.     

Vibronic interaction in metalloporphyrin pi-anion radicals

The vibronic (vibrational-electronic) interactions in the pi-anion radicals of the metalloporphyrins (M=Cr, Mn, Fe, Co, Ni, Cu, and Zn), which show delocalized D4h structures in the neutral states, are discussed using B3LYP density-functional-theory calculations. The B1g and B2g modes of vibration can remove the degenerate 2Eg state of the pi-anion radicals in the D4h symmetric structures to lead to rectangular and diamond D2h distortions, respectively. Calculated vibronic coupling constants demonstrate that the B1g modes of vibration better couple with the degenerate electronic state, leading to the rectangular D2h distortion. In particular, the B1g modes of nu10 and nu11, which have dominant contributions from Calpha-Cm and Cbeta-Cbeta stretching, give large vibronic coupling constants in the pi-anion radicals. The vibronic coupling constant can be viewed as the Jahn-Teller distortion force, and therefore these C-C stretching B1g modes will play a central role in the Jahn-Teller effect of the pi-anion radicals of the metalloporphyrins.     

Structure and properties of FCO,FOO, ClCO and ClOO

High quality SCF-MO calculations for the radicals FCO, FOO, ClCO and ClOO including geometry optimization are presented. One-electron properties and population indices are reported and compared both with experiment where appropriate and amongst themselves. ³⁵Cl-quadrupole coupling constants agree well with the experimental data and the agreement between calculated and observed ESR hfcc is discussed.     

ESR studies on hydroxyl radical reactions with glycine

Radicals H₂N? ?H? COOH and H₂N? ?H? COO^? which have different ESR. spectra are observed during the reaction of hydroxyl radicals with glycine in aqueous solution. Rapid and reversible exchange between the different dissociated radicals is induced by addition of phosphoric acid. The pH dependence of the ESR. spectra yields the pK value and rate constants for proton transfer reactions between the radicals and phosphoric acid.     

Radikale aus Polymethincyanin-Farbstoffen. I—Polymethincyanine mit Indolenin-Endgruppen

The solution ESR spectra of radicals which have been prepared by electrolytic reduction of dinuclear and trinuclear polymethinecyanine dyes are interpreted. From the values of the coupling constants information can be obtained about the conformation of the radicals.     

Theoretical study on 5-nitrofuryl thiosemicarbazone radicals electronic properties

Theoretical studies of molecular conformations and electronic properties calculations of eight 5-nitrofuryl thiosemicarbazone free radicals, by means of ab initio (R/UHF), and DFT (R/UB3LYP) methods are presented and discussed in comparison with ESR and electrochemical experimental data. DFT calculated hyperfine coupling constants were used for the simulation of experimental spectra. We observed the molecules adopt mainly two conformations, both showing a pattern of spin density delocalization unusual for free radicals formed from aromatic nitrocompounds. Energy potential surfaces scaning through a determined dihedral angle were drawn to evaluate whether these conformations could coexist in equilibrium. Fukui and molecular orbital analysis were compared with ESR data as reactivity local indexes.     

Electron spin resonance studies and theoretical quantum calculations of free radicals generated from anthracenetrione by electrochemical and microsomal reduction

The ESR spectra of radicals obtained by electrolytic reduction of 4,4-dimethylanthracene-1,9,10 (4H)-trione (1) and the regioisomeric quinones 8-acetyloxymethyl-4,4,5-trimethyl- (2), and 5-acetyloxy-methyl-4,4,8-trimethyl-(4H)-1,9,10-anthracenetrione (3) were measured in DMSO and analyzed by quantum chemical calculations. The electrochemistry of these compounds was characterized using cyclic voltammetry, in DMSO and DMF solvents and compared with nifurtimox. The quinones were also reduced by microsomal NADPH-cytochrome P-450 reductase and the corresponding radicals species were also detected by ESR spectroscopy. AMI, INDO, and ADF calculations were performed to obtain the optimized geometries, theoretical hyperfine constants, and spin distributions, respectively. Density functional theory was used to rationalize the reduction potential of these compounds.     

Über die Koordinationstendenz saurer Aminogruppen. XVIII. Struktur- und Bindungsverhältnisse von Bis-(3-phenyl-5-pyridyl(2)-pyrazolato)-kupfer(II) - eine ESR-Studie

Bis-(3-phenyl-5-pyridyl(2)-pyrazolato)-copper(II), [Cu(PPP)₂], a brown paramagnetic nonionic chelate, is studied by ESR techniques in solution and as powder (diamagnetically diluted). The ESR spectra can be interpreted by means of a spin-Hamiltonian of axial symmetry. The bonding parameters of Cu–N bonds were calculated by interpretation of the g, Cu hfs and ¹⁴N-ligand hfs tensors. From these parameters follows that the degree of covalency of the s?- and π-bonds increases in comparision to other cationic copper(II) chelates (e.g. ethylenediamine complexes). These results are in good agreement with the chemical behaviour of [Cu(PPP)₂].