Ionization potentials of ferrocene and Koopmans' theorem. Anab initio LCAO-MO-SCF calculation

The first ionization potentials of ferrocene have been computed in the LCAO-MO-SCF scheme as the difference of the total energy for the neutral molecule and the positive ion. The corresponding sequence of ionization potentials is found to be IP.(e _2g ) _1g )1u e _1g ) in good agreement with the experimental assignment. However, this is different from the sequence of orbital energies for the neutral molecule which is found to bea _1g (3d)<e _2g (-Cp)a _2u (-Cp)e _2u (-Cp)<e _2g (3d)1g (-Cp)e _1u (-Cp).It is concluded that Koopmans' theorem is not valid for the ferrocene molecule. This is traced to the different extent of the electronic rearrangement which occurs upon ionization, depending on the nature (ligand or metal) of the orbital involved in the ionization process.

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Zusammenfassung Das erste Ionisierungspotential von Ferrocen ist im Rahmen des LCAO-MO-SCF-Verfahrens als Differenz der Gesamtenergie von Molekül zu Ion berechnet worden. Dabei ergibt sich in guter Übereinstimmung mit dem Experiment die Folge I.P.(e _2g )1g )e _1u )e _1g ). Sie ist allerdings durchaus von der Orbitalreihenfolge des neutralen Moleküls, diea _1g (3d)<e _2g (-Cp)a _2u (-Cp)e _2u (-Cp)<e _2g (3d)<e _1g (-Cp)e _1u(-Cp). ist, verschieden, woraus sich die Nichtgültigkeit des Koopmans-Theorems für Ferrocen ergibt, und zwar läßt sie sich auf den unterschiedlichen Umfang der Elektronenumordnung infolge Ionisation zurückverfolgen, je nachdem, aus welchem MO die Ionisierung stattfindet.

     

Calculations of electronic spectra of Fe and Co porphyrins and their anionic forms

Energies and intensities of electronic transitions of a number of Co and Fe porphyrins and their anionic forms have been calculated by the INDO/S-CI method in the Zerner parametrization. The results from the theoretical analysis are consistent with the basic relationships observed in the change of electronic spectra within the limits of isoelectronic series of compounds characterized by identical total number of -electrons and identical filling of the pair of d orbitals. It has been established that in the spectra of compounds of an isoelectronic series corresponding to the neutral state of the porphyrin ligand, the allowed electronic transitions are described by superpositions of two ^* configurations (la_1u 4e_g) ) and (3a ^2u 4e_g ) , two configurations of intermolecular charge transfer 3 (d 2b_1u) and (d 3b_2u), and two types of doubly excited configurations (la_1u, d 4e_g, 4e_g) and (3a _2u, d 4e_g, 4e_g). Data have been obtained on the energies and orbital nature of the even electronic states that are responsible for rapid exchange of excitation energy of the porphyrin molecules with the transition metals.Leningrad. Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 27, No. 2, pp. 144–151, March–April, 1991. Original article submitted September 28, 1989.     

On Excited States of Alkyl Bridged [14] Annulenes

The linear dichroic absorption spectrum of 1,3,6,8-trans-15, 16-hexamethyl-dihydropyrene has been measured in stretched polyethylene at 77K, and CNDO-CI calculations with inclusion of singly and doubly excited configurations have been carried out on a series of alkyl bridged [14] annulenes with pyrene- and anthracene-shaped perimeters. Transitions to e_3g → e_4u type ¹B states are well described, and the results indicate that additional low-energy excited states originate from e_3g→ e_5g and e_2u → e_4u type configurations interacting strongly with doubly excited configurations of the e_3g, e_3g → e_4u, e_4u type. The second excited singlet state responsible for the weak transition observed between the ¹L bands may be assigned to one of these additional states, but it is probably of complex nature, similar to the ‘phantom’ state in linear polyenes.     

Conformationally Locked Cyclo[2]Dipyrrins Linked with Anthracene Subunits: Synthesis and Chiroptical Properties

Herein, we report the synthesis of anthracene-containing twisted cyclo[2]dipyrrin 1 by utilizing a non-planar building block, 1,5-dipyrrylanthracene (1,5-DPA). The non-planar nature of the macrocycle enhanced the solubility and helped in structural characterization. Macrocycle 1 adopts a twisted ‘figure of eight’ conformation stabilized by strong intramolecular H-bonding interactions and exists as a pair of helical enantiomers, as revealed by X-ray crystallographic analysis. More importantly, the sterically locked structure enabled facile optical resolution using chiral HPLC. The (P,P) and (M,M) enantiomers show moderate chiroptical properties, such as absorption dissymmetry factors |g_abs| in the order of 10⁻³, and luminescence dissymmetry factors |g_lum| of 3.8×10⁻³ and 2.9×10⁻³ at 702 nm, respectively.     

A molecular electronic Raman effect of the ferricenium ion

A molecular electronic Raman effect is reported for the ferricenium ion. The transitions occur at 213 cm^?1 and 1580 cm^?1 to spin-orbit levels of the ground electronic configuration (a_1g)²(e_2g)³. The positions of the spin-orbit states as obtained from the Raman spectrum agree with EPR data.     

Porphyrin acidity and metal ion coordination revisited: electronic substitution effects

Macrocycle acidity and Zn²⁺ ion coordination are reported for three porphyrin derivatives which differ in both steric and electronic substitution effects on the macrocycle π-conjugated system. The role of the electronic substitution effects in the macrocycle deprotonation and metal ion chelating was found to be dominating whereas the macrocycle nonplanar distortions contribute to the acidity and metal chelation rate of the studied porphyrins in less extent. The contributions of both resonance and inductive electronic substitution effects have been distinguished based on the relationship between the weighted sum of resonance and inductive Hammett constants and the acidity and metal ion chelation rate.     

Das “Angular Overlap”-Modell für niedersymmetrische Koordinationsverbindungen

Zusammenfassung Eine kurze Ableitung des Angular Overlap-Modells wird gegeben. Das Modell wird auf zweikernige Übergangsmetallkomplexe vom Typ L₅M-O-ML₅ angewandt. Die Parametrisierung vond-Orbitalwechselwirkungen liefert fürD _4h-Symmetrie die Orbitalreihenfolgee _g<b _2g=b _1u<e _u ^* <a _1g ^* <b _1g=b _2u<a _2u ^* . Aus dem Orbitalschema lassen sich die magnetischen (intramolekularer Antiferromagnetismus) und die optischen Eigenschaften (Elektronenspektren) erklären, die sich von den gewinkelten Molekülen wesentlich unterscheiden. Der im linearen Cr-Komplex neu auftretende Bandentyp wird einem Übergang einesd-Elektrons in ein Molekülorbital zugeordnet, das über die Cr-O-Cr-Bindungsregion delokalisiert ist.

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Angular overlap treatment of low symmetry complexesII. Binuclear complexes with a linear oxygen bridge

A short derivation of the Angular Overlap model is presented. It is applied on binuclear transition metal complexes of the type L₅M-O-ML₅. A parametrization ofd-orbital interactions forD _4h symmetry yields the energy ordere _g<b _2g=b _1u<e _u ^* <a _1g ^* <b _1g=b _2u<a _2u ^* . From the orbital scheme the magnetic (intra molecular antiferromagnetism) and optical properties (electron spectra) are explained, which are different from corresponding molecules with angled structure. The new type of bands found in the spectrum of the linear Cr complex is assigned to a transition of ad electron into a molecular orbital which is delocalized over the Cr-O-Cr bond moiety.

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Résumé Une brève représentation du modèle Angular Overlap est donnée. Le modèle est appliqué aux composés binucléaires de groupes de transition du type L₅M-O-ML₅. La parametrization des interactions des orbitalesd pour la symétrieD _4h donne les énergies d'orbitalese _g<b _2g=b _1u<e _u ^* <a _1g ^* <b _1g=b _2u<a _2u ^* . Cette série peux expliquer les propriétés magnétiques (antiferromagnétisme intramoléculaire) et optiques, qui sont différent de molécules avec structure angulaire. Le nouveau type des bandes trouvé dans le spectre du complex linéaire Cr est assigné à la transition d'un électrond dans une orbitale moléculaire qui est délocalisée sur la région de liaison Cr-O-Cr.

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Dem Andenken von Herrn Professor Hans-Ludwig Schläfer gewidmet.

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Herrn Prof. Dr. Hans-Ludwig Schläfer, der das Thema dieser Arbeit anregte, danke ich an dieser Stelle nochmals herzlich für viele wertvolle Diskussionen. Der Deutschen Forschungsgemeinschaft, Bad Godesberg, sei für die Bereitstellung finanzieller Mittel gedankt.     

The electronic structure of molecules by a many-body approach: VI. The assignment of the HeII photoelectron spectrum of SF6

The ionization potentials of SF₆ are studied by an ab initio many-body approach which includes the effects of electron correlation and reorganization beyond the one-particle approximation. The ordering of the ionization potentials in the energy range of the HeII line obtained in the SCF approximation is 1t_1g 5t_1u, 3e_g + 1t_2u, 1t_2g, 4t_1u, 5a_1g (the “+” sign denotes nearly equal ionization potentials), whereas in the many-body calculation it is 1t_1g, 5t_1u + 1t_2u, 3e_g, 1t_2g, 4t_1u, 5a_1g. The second band in the photoelectron spectrum thus corresponds to two ionization potentials and the third one to only one.     

Low temperature luminescence spectra of the d10s2 complexes Cs2MX6 (M = Se,Te and X = Cl,Br). The Jahn—Teller effect in the Γ−4(3T1u) excited state

The emission spectra of the title compounds in microcrystalline form have been measured at 10 K. The extensive vibrational progression in the e_g mode is indicative of a tetragonal Jahn—Teller distortion in the Γ^?₄(³T_1u) excited state. The vibronic coupling of a threefold electronic state with a doubly degenerate e_g mode (T—e coupling), linear in the nuclear coordinates, has been reinvestigated considering spin—orbit coupling up to second order perturbation on energy levels which result from an a¹_1gt¹_1u electron configuration. For an estimation of Jahn—Teller coupling constants, the intensity distributions in the progressions were compared with the theoretical line shape functions which were obtained from a model which also permits the determination of potential energy minima and vibrational fundamentals of the excited state. The unusually large increase in the e_g vibrational frequency compared to the ground state is due to Jahn-Teller forces which distort the potential surface, yielding steeper excited state energy curves.     

The electronic absorption spectra of the alkyl-substituted derivatives of bis(benzene)chromium(0) in the vapour phase

The UV and visible absorption spectra of (arene)₂chromium(0) (arene = benzene (I), toluene (II), ethylbenzene (III), cumene (IV), tert-butylbenzene (V), mesitylene (VI) in the vapour phase have been investigated. Four band systems A,B,C and D are revealed in the spectra. The bands of the system with the shortest wavelengths, D, represent the Rydberg series. The first ionisation potentials IP_a1g, 5.18 and 5.01 eV respectively. The Rydberg bands correspond to the allowed electrodipole transitions from the highest occupied molecular orbital (MO) a_1g to the vacant MO of either the a_2u or e_1u type.System C corresponds to the intense band of the solution spectra. The electronic transition e_2g → e_2g obviously makes a great contribution to this system. System B is assigned to the transition from a_1g to vacant a_2u or e_1u MO, which can be Rydberg orbitals. System A can be assigned to the a_1g → e_2u transition or to the Rydberg transition, which is forbidden in the D_6h point group but becomes allowed upon reduction of symmetry.     

Resonance effects on the inner-valence levels of SF6 in the photon-energy range 52–72 eV

We report the photoionization partial cross section and asymmetry parameter in the 52–72 eV photon-energy range for the inner-valence orbitais (3t_1u, 2e_g, and 4a_1g) in gaseous SF₆. These results, combined with those for the (inner valence)/(outer valence) branching ratio, indicate resonant enhancement of the inner-valence levels at ≈ 59 eV photon energy which we associate with the 3t_1u → e_g shape resonance predicted by MSM Xα calculations.     

A discussion of the bonding in ferrocene from an ab initio LCAO MO SCF calculation

The nature of the bonding in ferrocene is discussed on the basis of an ab initio LCAO MO SCF calculation, with the emphasis put on a number of controversial points such as: i) the relative ordering of the orbitals e_2g(3d) and a_1g(3d); ii) the relative ordering of the 3_1u and e_1g ligand π orbitals; and iii) the degree of participation of the metal 4s and 4p orbitals to the bonding.     

Electronic Correlation Functions in Liquid Metals

Abstract

To determine experimentally the three pair correlation functions g_ii(r), g_ie(r) and g_ee(r) in a pure liquid metal, i denoting ions and e electrons, requires three independent diffraction measurements. A brief review will be given in this difficult area, but progress is quite slow. One can make headway by confronting available experimental diffraction data with the results of computer experiments, and in particular on g_ie(r). This will be illustrated with specific reference to recent computer simulations on liquid Mg and liquid Bi. for Mg, analytic modelling is also possible and this will be discussed.

Quite independently, computer experiments have recently appeared which describe the effects of isochoric heating on dense fluid hydrogen over a wide temperature range. This prompts again reference to analytic models, both caged atomic and molecular hydrogen being considered. Finally, though the electrical conductivity of the H plasma above has not yet been studied, a brief discussion of a possible mechanism of electronic transport in strongly coupled plasma will be presented.     

Absorption,fluorescence and phosphorescence spectra of the singlet and triplet states of s-tetrazine in the crystal and in mixed crystals at low temperatures

The electronic absorption, fluorescence and phosphorescence spectra of s-tetrazine at low temperatures (4.2-1.5 K) are reported and analyzed in the neat crystal and in several mixed crystals. The ³B_3u-¹A_g (nπ^*) origin is at 18414 ± 5 cm^?1 for neat tetrazine. In the mixed crystal several sites identified. The lowest energy origin is at 17453 cm^?1 for tetrazine in pyrazine; 17 701 cm^?1 in pyrimidine; and 17 676 cm^?1 in pyridazine. The ^eB_3u-¹A_g (nπ^*) origin is at 14 096 ± 2 cm^?1 for the neat crystal. The phosphorescence lifetime of neat tetrazine is measured to be 96.8 ± 2.1 μs at 4.2 and 1.8 K. All the spectra are predominately composed of members of progressions in a single totally symmetric mode (ν_6a) built upon site origins and vibrational fundamentals. The ν_6a interval is: 743 (¹A_g), 715 (³B_3u), and 709 cm^?1 (¹B_3u) in the neat tetrazine crystal; 732 (¹A_g) and 705 cm^?1 (¹B_3u in pyrazine host, 737 (¹A_g) and 701 cm^?1 (¹B_3u) in pyrimidine host, and 732 (¹A_g) and 703 cm^?1 (¹B_3u) in pyridazine host mixed crystals. All emission spectra may be analyzed by Oi → (ν″_6a)^o_n (i), i indicating the observed s     

Fourier spectrometry investigation of the 1 3Σg+ →a 3Σu+ transition of the 7Li2 molecule

The 1 ³Σ_g⁺ → a ³Σ_u⁺ transition in the ⁷Li₂ molecule has been observed in the 8200–10 000 cm⁻¹ region with a high resolution Fourier spectrometer. Rotational analysis of 1 ⩽ υ′ ⩽ 7 of 1 ³Σ_g⁺ and 0 ⩽ υ″ ⩽ 7 of a ³Σ_u⁺ has been carried out. We found D_e(a ³Σ_u⁺) = 332.5 ± 1.0 cm⁻¹ that gives T_e(a ³Σ_u⁺) = 8184.3 ± 1.5 cm⁻¹ and D_e(1 ³Σ_g⁺) = 7090.4 ± 1.5 cm⁻¹ with T_e = 16330 ± 2 cm⁻¹.     

First Principle Study on the Magnetic and Electric Properties of Wurtzite Cr-phosphides and Cr-sulphides: Several Half-metallic Ferromagnets

The geometrical structures of wurtzite CrX (X=As, Sb, O, Se, and Te) were optimized, then their electric and magnetic properties were investigated by the ˉrst-principle calculations within the generalized gradient approximation for the exchange-correlation functional based on the density functional theory. These Cr-phosphides and Cr-sulphides were predicted to be half-metallic ferromagnets whose spin-polarization at the Fermi level is absolutely 100%.The molecular magnetic moments of Cr-phosphides and Cr-sulphides are 3.00 and 4.00 μB, which arise mainly from Cr-ions, respectively. There is ferromagnetic coupling in both Cr-phosphides and Cr-sulphides. The Curie temperatures of Cr-sulphides and Cr-phosphides are high. The electronic structures of Cr-ions are a²_1g↑↓t⁴_1u↑↓t¹_1u e²_g↑in Cr-phosphides and a²_1g↑↓t⁴_1u↑↓t¹_1u↑t³_2g↑in Cr-sulphides, respectively.     

Highly substituted 2,3,7,8,12,13,17,18-octaethylporphyrins with meso aryl residues

Highly substituted porphyrin-bearing meso aryl groups are useful compounds for optical applications and for studies on the interrelationship between the substituent pattern, macrocycle conformation and physical properties. They serve as biomimetic models for the function of tetrapyrroles in nature and help to elucidate modulation of cofactor properties through conformational effects. Using a sequence of lithium organic substitution reactions the synthesis of novel free base 5,10-A₂- and 5,10-AB-2,3,7,8,12,13,17,18-octaethylporphyrins bearing donating groups such as -OMe and -NMe₂ on the aryl-substituent was achieved. Larger aromatic residues (1-naphthyl, 9-anthracenyl and 9-phenanthrenyl) could be introduced into the macrocycle system as well, and these systems were used for the preparation of highly substituted porphyrins with a mixed substituent pattern. Using phenanthrenyl derivatives, the complete series of meso phenanthrenyl substituted octaethylporphyrins was successfully synthesized and the palladium complexes were prepared for photophysical investigations. Structural studies clearly showed the influence of individual substituents on the conformation of the tetrapyrrole macrocycle and conformational analyses revealed the variation of the underlying distortion modes depending on the type and arrangement of the meso substituents.     

Assignment of the vibrational bands of the B1u ← A1g transition in solid benzene films

Low temperature absorption spectra of benzene films were observed in the ¹B_1u ← ¹A_1g transition region. The origins of the two progressions of the totally symmetric vibration v₂(a_1g) are assigned to the crystal-field-induced 0—0 transition and to the false origin 0 + v_1g(e_2g).     

A simple model for predicting the electronic configuration of a dn ion in a tetragonally distorted octahedral environment

A simple, but general model which enables prediction of the electronic structure adopted by ad ⁿ ion in an axially distorted octahedron of ligands (D _4h) is described. The variousd ⁿ configurations (n = 1 to 9) are briefly reviewed with some recent results concerning the stabilization of unusual electronic configurations or oxidation states in oxides.     

Conformation et spectrométrie de R.M.N.: II

The four isomeric 3-dimethylamino-trans-2-decalols-1,1,4,4-d₄ have been synthesised. Examination of PMR spectra of these compounds allows us to confirm the ‘flattened-chair’ conformation for the cis N(CH₃)₂^a OH^e isomer, whereas the remaining three conserve the double chair conformation. The same type of flattening is also observed in the case of the diaxial quaternary ammonium salt and is even more marked in the cis N(CH₃)₃^a OH^e isomer resulting in a ‘twist-chair’ conformation.