Study of the electronic structure of molecules. XV. Comments on the molecular orbital valency state and on the molecular orbital energies

The valency state (vs) concept is analyzed in the Hartree–Fock approximation. A valency state “standard” is defined for atoms at infinite separation. A molecular orbital valency state (Movs) is defined from a partitioning technique (bond energy analysis) previously introduced for the Hartree–Fock molecular wave functions. The Movs for a given atom in a molecule is much higher in energy than the vs and its energy varies from molecule to molecule depending on the exact field of the surrounding atoms. The examples selected in the discussion are the CH₄ CH₃F, CH₂F₂, CHF₃ and CF₄ molecules. An analysis of the orbital energies is then given in terms of the bond energy. The importance of the rearrangement effects following ionization of inner shell electrons (simulation of ESCA type experiments) is illustrated with computations of the positive ion for methane and its fluoroderivatives. It is concluded that rearrangement following ionization from inner shells is as important as rearrangements following ionization from valency electrons. A direct consequence is that the orbital energies should not be equated to the inner shell ionization potentials. The computation of such ionization potentials agrees to about 99.5% with ESCA data, when the energy of both the neutral and ionic species are computed; the use of the orbital energies limits this agreement to about 95%.     

Two-color threshold photoionization spectroscopy of jet-cooled indole clusters

We report the results of a comprehensive investigation of the two-color threshold photoionization of jet-cooled indole clusters. Using two-color photoionization spectroscopy, we have probed both the neutral excited levels and the ground ionic states of indole clusters containing non-polar (Ar, CH₄, CF₄, C₆H₆) and polar (H₂O, MeOH, EtOH, NH₃, N(CH₃)₃) solvent species. These studies have allowed the determination of accurate cluster ionization energies (IEs) as well as the assignment of electronic absorption features to clusters of known composition. The determination of the cluster IE, which is typically lower than that of bare indole, has allowed us to investigate the importance of charge-induced dipole and charge-dipole attractive forces in the binding of the ion-neutral clusters. In addition, we have found that the shape of the photoionization efficiency (PIE) spectra gives valuable information regarding the relative shape and/or position of the potential energy surfaces of the neutral excited and ground ionic states of the clusters. We have also identified two distinct conformational isomers of the indole-(H₂O)₁ hydrogen bonded cluster using the techniques of electronic spectroscopy, two-color threshold ionization spectroscopy and mass analysis.     

Investigation of the mechanism of intracluster proton transfer from sinapinic acid to biomolecular analytes

Experiments have been performed to elucidate the mechanism of proton transfer in ternary clusters containing the matrix-assisted laser-desorption ionization (MALDI) matrix sinapinic acid, nonchromophoric analytes (proline, methionine, and prolylmethionine), and argon. To investigate the mechanism of intracluster proton transfer, ionizing laser power studies were performed at 266 and 355 nm. Baseline studies show that two photons are required at both wavelengths for the formation of sinapinic acid radical cations from sinapinic acid/argon clusters. Studies of the ternary sinapinic acid/biomolecule/argon clusters show that, in all cases, the photon dependence for protonation of the biomolecule is the same as that for formation of the sinapinic acid radical cation. Furthermore, the slopes of the power plots are generally between 1.5 and 2.0, consistent with a two photon ionization process. No evidence of negative ion formation is detected in the negative ion mass spectra. The combined results are consistent with a mechanism of biomolecular intracluster protonation via proton transfer from the photoionized sinapinic acid radical cation. Wavelength dependent trends in matrix and analyte fragment ion formation in conventional MALDI mass spectra and the cluster proton transfer mass spectra were noted. The possible contribution of cluster proton transfer to the analyte protonation mechanism in conventional MALDI is discussed.     

On the determination of monomer dissociation energies of small water clusters from photoionization experiments

Recently, monomer dissociation energies of neutral water clusters were estimated via a thermodynamic cycle that utilized the measured appearance energies of vacuum ultraviolet (VUV) photoionized water clusters and the previously reported dissociation energies of protonated water clusters. The thermodynamic cycle incorrectly assumed that the energy difference between the (H2O)n+ --> (H2O)n-1H+ + OH* asymptotes (the relaxation energy) was zero. We show that these relaxation energies are large and cannot be neglected in the analysis. Thus, the neutral water cluster monomer dissociation energies cannot be directly determined from the measured ionization potentials because they are themselves involved in the appropriate thermodynamic cycle.     

Computational study of matrix-peptide interactions in MALDI mass spectrometry: Interactions of 2,5- and 3,5-dihydroxybenzoic acid with the tripeptide valine-proline-leucine

The mechanism of matrix-to-analyte proton transfer in matrix-assisted laser desorption and ionization mass spectrometry (MALDI-MS) has been investigated computationally by modeling the matrix-analyte interaction of potential MALDI matrixes such as 2,5-dihydroxybenzoic acid (2,5-DHB) and 3,5-DHB with the tripeptide valine-proline-leucine (VPL). A combination of molecular dynamics/simulated annealing calculations followed by density functional theory geometry optimization using a reasonably large basis set has been done on a large number of clusters in an attempt to study the ionization energy of each matrix in the cluster environment and the intracluster proton transfer from the matrix to the tripeptide. The calculations show a substantial reduction in the IP for both matrixes in their cluster environments. In the 2,5-system, proton transfer can sometimes occur in the neutral clusters (preformed ions), whereas proton transfer in the cationic clusters, which is actually a double proton transfer, is spontaneous and exoergic. Even though it is more acidic from a thermodynamic perspective, the radical cation of 3,5-DHB is a less efficient proton donor to VPL. The thermodynamics of proton transfer in the cationic clusters is discussed in detail.     

Electrostatic and relaxation effects in ionization of molecular dimers and intermolecular complexes

The shifts in ionization energies which occur when a molecule is incorporated as an asymmetric dimer or in an intermolecular complex are analyzed theoretically. MO ? SCF calculations with 4–31G basis sets were performed on closed- and open-shell states of (HF)₂, H₂O·HF, and their valence–hole ions, as well as on the heterodimers incorporating the higher homologues CH₃F, CH₃OH, and (CH₃)₂O. The analysis concerns the influence of electrostatic, polarization, and charge transfer effects associated with complexation on the initial molecular state of each monomer system, as well as monomer–dimer differences in the electronic relaxation mechanism considered as a final state effect in the ionization process. The calculated ionization energy shifts which agree well with the experimental data available for (CH₃)₂O·HF, show that the shifts are dominated by electrostatic effects, but some effects arising from differences in molecular size and electric polarizability of the monomers can be discerned.     

Unimolecular dissociation of trivalent metal cluster ions (Al n + , Ga n + , In n + ): evidence for a transition from covalent to metallic bonding

Unimolecular dissociation of aluminum, gallium and indium clusters is investigated. Small sizes dissociate into two channels: either the evaporation of a neutral or a charged monomer. Above a given size n _c, only dissociation of a neutral atom subsists. The evaporation of a charged monomer is characteristic of trivalent metal clusters and is consistent with the size evolution of the ionization potential towards the atomic value. The experiments are interpreted in the framework of the statistical R.R.K. model. For smaller sizes (n < n _c), as two evaporation processes are in competition, we have evaluated cluster relative dissociation energies and ionization potentials. The competition between the two evaporation channels is well mirrored by the evolution of the ionization potentials independently measured by near-threshold photoionization experiments. For gallium, our measurements have revealed that the covalent to metal transition occurs for larger sizes (n = 30–50 atoms) than for aluminum clusters.     

Ionization energies of cesium and cesium oxide clusters

The vertical ionization potentials of 7 cesium and 86 oxidized cesium clusters were determined using the technique of photoionization mass spectrometry. The spectra were obtained using a tunablecw dye laser for clusters in a mass range 1 to 2024 amu. The vertical ionization potentials (IP) are presented as a function of size and composition. The ionization energies of cesium clusters, Cs_n, decrease with cluster size. Unusually low IP were observed for the enneamer, Cs₉, and for the cesium monoxide Cs₁₁ O. With increasing oxidation of the cesium metal clusters the IP decreases (suboxides) reaches a minimum at Cs(Cs₂O)_n and then increases (superoxides).     

The gas phase “matrix isolation” spectroscopy of CH3F

We report infrared photodissociation spectra for Ne, Ar, Kr, N₂ and CH₄ clusters which contain CH₃F chromophores. The CH₃Fv ₃ mode is excited with a line tunable CO₂ laser. Mass spectrometer detection of changes in the cluster beam intensity serve to partially distinguish the spectra of different size neutral clusters. Many spectra consist of rather broad, inhomogeneous profiles. For intermediate size Ar_nCH₃F clusters a sharp, narrow peak is observed in the spectrum. We assign this peak as due to a cluster in which a central CH₃F molecule is surrounded by at least a full shell of Ar atoms packed in a contracted icosohedral geometry. Because the Ar atoms in a gas phase cluster are unconstrained by an extended crystalline structure, the CH₃F dipole is more fully stabilized (and thus red-shifted) than in a solid matrix. The dependence of the observed spectrum on cluster size is discussed. For comparison, no comparable narrow spectral features are observed in Ar_nC₂H₄ cluster spectra. Clear evidence is also presented that the fragmentation of the neutral clusters upon electron impact ionization is fairly specific. Finally, we note that ionization of Ar_nCH₃F clusters sometimes produces Ar_nF⁺ ions. This is a fragmentation process which does not occur in free CH₃F.     

Density functional study of the structural,electronic, and magnetic properties of neutral and charged rhodium clusters up to tetramer

Model core potential computations were performed for Rh₂, Rh₃, and Rh₄ clusters and their respective cations and anions using the linear combination of Gaussian‐type orbital, nonlocal spin density method. The optimized geometries, electronic and magnetic structures, binding and fragmentation energies, adiabatic ionization potentials, and electron affinities were determined. Results show that the ionization potentials, electron affinities, binding energies, and magnetic moments decrease with the cluster size. For Rh₂ and Rh₃ the most stable structures exhibit ferromagnetic properties, while Rh₄ in its ground state is found to be paramagnetic. The structures of minimum energy for the charged species often differs from the corresponding neutral one. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001     

C4H5N-(NH3)n氢键团簇的多光子电力与从头计算

在３５５和５３２ｎｍ激光波长下用ＴＯＦ质谱仪研究了Ｃ４Ｈ５Ｎ－（ＮＨ３）ｎ系列氢键团簇体系的多光子电离,实验发现,两波长下除了得到一系列团簇离子Ｃ４Ｈ５Ｎ－（ＮＨ３）ｎ＾＋外,还观测到一系列质子化产物Ｃ４Ｈ５Ｎ－（ＮＨ３）ｎ－Ｈ＾＋,这些质子化产物来自于光电离过程中团簇内部的质子转移反应;Ｃ４Ｈ５Ｎ－（ＮＨ３）ｎ＾＋系列离子出现反常强度变化,即Ｃ４Ｈ５Ｎ－（ＮＨ３）２＾＋离子强度较Ｃ４Ｈ５Ｎ－（Ｎ     

Gas-phase ion-molecule bimolecular and clustering reactions in dilute solutions of acetonitrile in xenon,krypton, argon,neon and helium

Gas-phase bimolecular and clustering reactions of acetonitrile in Xe, Kr, Ar, Ne and He were studied at high chemical ionization pressures in the new coaxial ion source at Auburn. With electron energies near the ionization threshold, the mass spectra are exceedingly simple and are comprised of [CH₄CH]⁺ and clusters of [CH₄CN]⁺ with various ligands such as H₂O and CH₃CN. At higher electron energies many other peaks appear. The intensities of the new peaks depend upon the ionization potential of the charge transfer gas, the ionizing electron energy and the ion source conditions, and are due to reactions of fragment ions. Residence time distributions at electron energies above the ionization threshold (∼ 30 eV) demonstrate that two molecular structures are present in the ion beam at m/z 42, one presumably is protonated acetonitrile ([CH₃CNH]⁺) while the evidence indicates that the second species does not contain acidic hydrogens. With ionizing electron energies near threshold (∼ 10. 5 eV) only one structure is observed. Studies with electron energies near the ionization threshold under high-pressure chemical ionization conditions result in greatly simplified mass spectra and are possible only because of the coaxial geometry of the ion source.     

Effect of the structure and charge of Au<Subscript>10</Subscript> clusters on adsorption of hydrocarbons

The interaction of gold clusters Au₁₀ of different structural and charge states with various hydrocarbons was studied by the PBE density functional method. Saturated hydrocarbons interact weakly with the neutral cluster Au₁₀, for charged Au₁₀ ⁺ the alkane—cluster bond energies increase threefold. Unsaturated hydrocarbons interact with cluster surface more strongly than saturated hydrocarbons, while coordination to the benzene ring is possible for aromatic compounds PhC₂H, PhC₂H₃, and PhC₂H₅. The low-coordinative gold atoms located on the peaks and edges of the cluster are the active adsorption site of the cluster. The appearance of a positive charge on the cluster leads to a greater increase in the hydrocarbon—gold cluster bond energy than the transition from the planar 2D structure to the three-dimensional (3D) structure of the neutral cluster.     

Interpretation of alkyl diselenide and selenosulfenate mass spectra

The mass spectral fragmentation of aliphatic diselenides and selenosulfenates is analyzed to gain a better understanding of the behavior of these species. The main fragmentation pathways of these species include the fragmentation along the Se-C bond, fragmentation along the Se-Se or Se-S bonds and intra-molecular rearrangements. In general, negative ionization favors the fragmentation along the Se-Se or Se-S bonds while positive ionization leads to stable molecular ions. Density functional theory calculations of bond dissociation energies and molecular orbital analysis was undertaken to explain the observed trends in molecular fragmentation. Besides the analysis of molecular fragmentation, a phenomenon of molecular association in negative electron impact and positive chemical ionization conditions was observed and investigated using a high resolution time-of-flight mass spectrometer. Molecular association that occurs during the ionization of species includes the formation of symmetrical diselenides from asymmetrical selenosulfenates and formation of alkylseleno adducts from the corresponding diselenides. For species which is hard to resolve by mass analysis, such as isobars of CHSe, CH₂Se, and CH₃Se, the isotope pattern superimposition procedure was applied to define the overlapping clusters.     

Metastable decay and binding energies of van der Waals cluster ions

In this work the appearance potentials for the metastable decay channel of a series of van der Waals dimer ions are presented. Ionization and metastable dissociation is achieved by resonance-enhanced two-photon absorption in a linear reflection time-of-flight mass spectrometer. From the appearance potentials the binding energy of the neutral dimers is obtained and from the additionally measured ionization potentials binding energies of the dimer cations are achieved. The contribution of charge transfer resonance interaction to the binding in cluster ions is evaluated by investigation of several homo-and heterodimers of aromatic components and the heterodimer benzene/cyclohexane as an example for a dimer consisting of an aromatic and a nonaromatic component.     

Structural,Relative Stable,and Electronic Properties of Pb<Subscript>n</Subscript>Sn<Subscript>n</Subscript> (n = 2–12) Clusters were Investigated Using Density Functional Theory

The structural, relative stable and electronic properties of Pb_nSn_n (n = 2–12) alloy clusters were systematically studied using density functional theory. The isomers of Pb_nSn_n alloy clusters were generated and determined by ab initio molecular dynamics. By comparing the calculated parameters of Pb₂ dimer and Sn₂ dimers with the parameters from experiments, our calculations are reasonable. With the lowest-energy structures for Pb_nSn_n clusters, the average binding energies, fragmentation energies, second- order energy differences, vertical ionization potentials, vertical electron affinities, HOMO–LUMO gaps, and density of states were calculated and analyzed. The results indicate that the Sn atoms have a tendency to bond together, the average binding energies tend to be stable up to n = 8, Pb₈Sn₈ cluster is a good candidate to calculate the molecular interaction energy parameter in Wilson equation, the clusters become less chemical stable and show an insulator-to-metallic transition, 3, 6, 8 and 11 are magic numbers of Pb_nSn_n (n = 2–12) clusters, the charges always transfer from Sn atoms to Pb atoms in Pb_nSn_n clusters except for Pb₁₀Sn₁₀ cluster, and density of states of Pb_nSn_n clusters becoming continuous and shifting toward negative with the increasing size n.     

Structural dynamics and energy flow in Rydberg-excited clusters of N,N-dimethylisopropylamine

In molecular beams, the tertiary amine N,N-dimethylisopropyl amine can form molecular clusters that are evident in photoelectron and mass spectra obtained upon resonant multiphoton ionization via the 3p and 3s Rydberg states. By delaying the ionization pulse from the excitation pulse we follow, in time, the ultrafast energy relaxation dynamics of the 3p to 3s internal conversion and the ensuing cluster evaporation, proton transfer, and structural dynamics. While evaporation of the cluster occurs in the 3s Rydberg state, proton transfer dominates on the ion surface. The mass-spectrum shows protonated species that arise from a proton transfer from the alpha-carbon of the neutral parent molecule to the N-atom of its ionized partner in the dimer. DFT calculations support the proton transfer mechanism between tightly bonded cluster components. The photoelectron spectrum shows broad peaks, ascribed to molecular clusters, which have an instantaneous shift of about 0.5 eV toward lower binding energies. That shift is attributed to the charge redistribution associated with the induced dipoles in surrounding cluster molecules. A time-dependent shift that decreases the Rydberg electron binding energy by a further 0.4 eV arises from the structural reorganization of the cluster solvent molecules as they react to the sudden creation of a charge.     

Thermodynamic properties of germanium/carbon microclusters

Theoretical studies on the Ge(n)C(m) (n=1,2; m=1-3) microclusters have been performed using the state of the art calculations. Several alternative structures of these clusters were studied to locate the lowest-energy isomers. It is observed that the structures of the complexes result from the competition between ionic Ge-C, conjugated covalent C-C, and metallic Ge-Ge bonds. The ionization of the molecules enhances the ionic character of the Ge-C bond and has significant structural consequences. Using theoretically determined partition functions, thermodynamic data are computed and experimental enthalpies are enhanced. The ab initio atomization energies of germanium carbides compare well with corrected experimental functions. The experimental appearance potentials are well reproduced by the theoretical ionization potentials.     

Theoretical study of the stability of small triply charged carbon clusters Cn3+ (n = 3–12)

Using density functional theory, coupled cluster and multireference methods, dissociation energies and 3rd ionization potentials for, respectively, triply charged and neutral carbon clusters have been evaluated. The results show that the smaller C_n³⁺ clusters are metastable, i.e., they present a fragmentation channel with negative dissociation energy. The lowest dissociation channel always corresponds to evaporation of a singly charged carbon atom. Good agreement with available experimental data is found for most two-fragment channels. The third ionization potential of the corresponding neutral species decreases with cluster size.