The effect of the topography of heterogeneous surfaces on the adsorption energy distribution,evaluated by the asymptotically correct,condensation approximation

In our previous paper [1], we used the well-known CA(Condensation Approximation) method, to evaluate the adsorption energy distribution from experimental isotherms, assuming that adsorption sites of different adsorption energies are distributed on adsorbent surface completely at randon.This note is an extension of our theory, using the ACCA, (Asymptotically Correct Condensation Approximation), which, in the hitherto investigation, was used only to adsorption on surfaces, with the patchwise topographical distribution of adsorption sites.     

Physical adsorption on heterogeneous surfaces: The effect of the topography of surfaces on the evaluated adsorption energy distribution

It has been known for a long time that the topography of surfaces is a very important factor governing the adsorption on heterogeneous solid surfaces. In spite of this, all methods to evaluate the adsorption energy distribution, developed so far were based on the patchwise model of heterogeneous surfaces. The purpose of this paper is to show how the well-known Condensation Approximation method can be applied to determine the adsorption energy distribution on the heterogeneous surfaces with a fully random topographical distribution of sites. The method is developed for the case of localized adsorption with nearest-neighbour interaction between admolecules.     

Surface interaction between H2 and CO2 over silicalite-supported platinum

Infrared spectroscopic evidence is presented for the formation of linearly bonded CO species, as a result of surface interaction between H₂ and CO₂ at room temperature over silicalite-supported Pt. Comparison with direct CO adsorption results suggests that the active sites for this CO₂ reaction are the corner or step sites on platinum particles. The CO formed on these active sites then migrates to other sites on the surface of Pt particles. Co-adsorbed hydrogen and water make the linearly bonded CO species more strongly adsorbed on Pt particles. However, exposure to oxygen or air at room temperature effectively removes these CO species.     

The influence of crystallographic steps on coadsorption: CO---O/Ni(119)

On low index nickel surfaces, repulsive interactions between atomic oxygen and CO drive the phase separation of these species into oxygen-rich and CO-rich islands. Because these adsorbates interact differently with crystallographic steps, the size and the structure of these islands are modified on stepped surfaces. We have monitored coadsorption-induced changes in the distribution of CO with IRRAS, observing six different CO stretching bands which are assigned to distinct local chemisorption environments. When oxygen fully saturates sites along the step edge, the steps are completely blocked from CO adsorption and virtually all the CO population on the terraces shifts from atop to bridge sites. This terrace site shift is similarly accomplished by atomic oxygen chemisorbed at terrace sites. From these coadsorption-induced changes in CO site distributions, constrained by the 10 Å terrace width, we conclude the through-metal O---CO interaction responsible for this CO site shift must be operative over a range of 5 Å. At θ_o = 0.18 ML, when oxygen occupies, but does not fully saturate the step edge, a new CO adsorption site is created, with a characteristic frequency of 1750 cm⁻¹. This new site is assigned to CO bonded to kinks along the step edge based upon its low intensity ( geometric kink density), enhanced binding strength and sensitivity to oxygen coverage. At higher oxygen coverages, compression of the CO adlayer is observed, with CO shifting to asymmetric bridge sites. As saturation coverage is approached, CO occupies weakly bound sites in close proximity ( 3 Å) to O adatoms, with high characteristic frequencies of 2100 cm⁻¹.     

CO stretching vibrations on Pt(111) and Pt(110) studied by sumfrequency generation

Optical sum-frequency generation (SFG) is used to characterize CO stretching vibrations on Pt(111) and Pt(110) surfaces. Different adsorption sites (terminal, bridge and step sites) are identified in the SFG spectra of CO on Pt(111), in good quantitative agreement with previous infrared reflection-absorption experiments on this system. For CO on Pt(110) we only observe CO molecules on terminal sites. The measured CO stretching vibration frequencies on Pt(110), both for low and high coverages, are at variance with the results of previous infrared studies. Our SFG results for CO on Pt(110) are confirmed by independent EELS measurements which, in addition, also reveal the frustrated rotational mode and the metal-CO vibration. The measured frequency of 2065 cm⁻¹ for low CO coverage on Pt(110)-(1 × 2) is consistent with a previously proposed empirical relation between the frequency of an isolated adsorbed CO molecule and the coordination number of the binding Pt surface atom.     

DRIFTS study of different gas adsorption for CO selective oxidation on Cu-Zr-Ce-O catalysts

The adsorptions of different gases (CO, H₂ and O₂) in the hydrogen-rich gas on the co-precipitated Cu-Zr-Ce-O catalyst were discussed and the active sites were ascertained with infrared spectroscopy technique. It was shown that the adsorption strength of CO was stronger than that of O₂ or H₂. Hydrogen and CO were competitive adsorption and the coexistence H₂ and CO on the surface accelerated the rate of CO desorption. Adsorbed H₂ could convert into geminal OH groups on the ceria surface at high temperatures in the absence of oxygen, while it was easy to form surface hydroxyl groups at low temperatures and condensed to physical water with increasing desorption temperature in the existence of oxygen. The adsorption of CO₂ was strong and it could transform into thermal stable carbonate species even in the reaction conditions. The active sites of the Cu-Zr-Ce-O catalyst were Cu²⁺ and Cu⁺, mainly the latter. The oxygen defect sites could be formed on the Cu-Zr-Ce-O catalyst surface through dehydration and decarboxylation.     

Prediction of the thermal properties of CO2, CO, and Xe laser media

Approximation functions describing the experimental data of thermal conductivity and viscosity of chosen gases (CO₂, N₂, He, Xe, CO, O₂, Ar) are given in the paper. Introduced formulas allow to predict thermal conductivity and temperature distribution of typical high-power laser gas mixture. Examples of temperature distribution in RF excited CO₂, CO, and Xe laser media are shown. Knowledge of the temperature distribution in the laser cavity can be useful for predicting the general properties of laser.     

Coupled harmonic oscillator models of carbon monoxide adsorbed on stepped,platinum surfaces

Harmonic oscillator models are used to explain recent experimental data on infrared absorption by CO molecules adsorbed on two stepped platinum surfaces. These data reveal only a lower frequency band at low coverage and only a higher frequency band at high coverage. Both bands exist over a range of intermediate coverages. The data are explained by a coupled-dipole model which includes the effects of electronic polarizability, the tilted orientation of CO molecules at step sites, and the electric field enhancement at step sites. The lower-frequency band is associated with CO molecules adsorbed on step sites and the higher-frequency band is associated with two-dimensional islands consisting of both step and terrace CO. The model explains the observed variation of frequency and intensity with coverage for CO adsorption on Pt(533) and Pt(432) surfaces. The model calculations indicate that the wavenumber for a single, linearly bonded CO molecule is about 9 cm⁻¹ higher on a terrace site than on a step site.     

Estimation of friction of a single chemisorbed molecule on a surface using incident atoms

Friction of a single molecule chemisorbed on a surface is a very fundamental property related to the dynamics of the diffusion of the molecule. We used a newly developed method, in which energy-controlled rare gas atoms collide with CO molecules on a stepped surface to displace CO molecules from initial terrace sites to final step sites. The friction coefficient of CO molecules on the surface was determined directly by comparing the experimentally measured increase in the number of CO molecules at step sites with classical molecular dynamics simulation results.     

Entropy-controlled site occupation of CO adsorbed on Ni(100)

The adsorption of CO on a Ni(100) surface has been studied by FT-IRAS in the temperature range from 85 K to 300 K. At 300 K and for =0.5, the CO molecules are predominantly adsorbed in on-top sites with only a minor fraction located at two-fold bridge sites. Measurements on a Ni(100) surface pre-covered with sulphur, oxygen and carbon indicate that the occupation of bridge sites may be caused by small amounts of surface impurities. The relative broadness of the infrared bands is explained by CO molecules occupying intermediate positions at domain walls. Upon lowering the temperature, the bridge sites are increasingly occupied at the expense of terminal sites. This process is completely reversible and is explained by a contribution of the hindered translations of the adsorbed CO molecules to the entropy. At 85 K and for low initial coverages, we observe an unusual high CO stretching frequency at 2205 cm^–1 which cannot be explained at present.     

Molecular orbital study of the chemisorption of carbon monoxide on a tungsten (100) surface

The adsorption energies of carbon monoxide chemisorbed at various sites on a tungsten (100) surface have been calculated by extended Hückel molecular orbital theory (EHMO). The concept of a “surface molecule” in which CO is bonded to an array of tungsten atoms W_n has been employed. Dissociative adsorption in which C occupies a four-fold, five-coordination site and O occupies either a four- or two-fold site has been found to be the most stable form for CO on a W surface. Stable one-fold and two-fold sites of molecularly adsorbed CO have also been found in which the CO group is normal to the surface plane and the C atom is nearest the surface. Adsorption energies and molecular orbitals for the stable molecularly and dissociatively adsobred CO sites are compared with the experimental data on various types of adsorbed CO, i.e., virgin-, α-, and β-CO. Models are suggested for each of these adsorption types. The strongest bonding interactions occur between the CO 5σ orbital and the totally symmetric 5d and 6s orbitals of the W_n cluster. Possible mechanisms for conversion of molecularly adsorbed CO to dissociatively adsorbed CO are proposed and the corresponding activation energies are estimated.     

Coadsorption-induced site changes: Bridging hydrogen from CO and H on Rh(100)

High resolution electron energy loss spectroscopy is used to establish that heating a Rh(100) surface with 0.5 atomic monolayer (ML) CO bound in top sites coadsorbed with 1.0 ML H bound in 4-fold sites (a saturation CO exposure to a previously H saturated surface) to 160 K results in a surface consisting entirely of bridge-bound CO and bridge-bound hydrogen. The implications of the bridge-bound hydrogen on the temperature programmed desorption of the (CO on H)/Rh(100) system are discussed.     

On the liquidus curve for GaN

Abstract

A Quasi-Chemical Equilibrium approach was used to discuss the experimental results of three phase (Ga-GaN-N₂) equilibrium conditions for the temperature range 1200-1580°C and pressure 0. 1-1. 45 GPa. The best fitting was obtained for the melting temperature of 2531 K which is in reasopable agreement with the value of 2791 K calculated by Van Vechten¹.     

表面缺陷对一氧化碳和甲基基团在金红石TiO2(110)表面吸附的影响

本文利用程序升温脱附技术研究了氧空位浓度对甲基基团和CO在R-TiO₂(110)表面吸附的影响. 结果表明,随着氧空位浓度的变化,吸附在桥氧位的甲基基团和吸附在五配位Ti⁴⁺位点上的CO分子的脱附温度呈现了不同的趋势,揭示了表面缺陷可能对R-TiO₂(110)不同位点上的物质吸附具有重要影响.     

Spin polarization and charge transfer of Co nanoclusters coated with CO molecules

We have investigated magnetic properties of Co clusters coated with CO molecules by first-principles density functional calculations. Total magnetic moment of the system decreases with the increase of CO molecule concentration regardless of adsorption sites for CO molecules. Spin polarization slightly increases as CO molecules are adsorbed on the most stable sites of Co cluster, which is caused by the increased local spin polarization of p-electrons due to charge transfer from Co clusters to CO molecules.     

Comparison between the adsorption properties of Pd(111) and PdCu(111) surfaces for carbon monoxide and hydrogen

Thermal desorption spectroscopy and LEED have been used to investigate the interaction of CO and hydrogen with a Pd_0.75Cu_0.25(111) single crystal surface with surface composition of about Pd_0.7Cu_0.3. The main objective was to make a comparison with the previously studied Pd_0.67Ag_0.33(111) (surface composition Pd_0.1Ag_0.9) and Pd(111) surfaces. In addition, the effect of preadsorbed H on subsequent CO dosage and the effect of adsorbed CO on postdosed hydrogen are described. Marked differences were found in the adsorption behaviour of the three surfaces towards CO and hydrogen. The maximum amount of H and CO that can be adsorbed at 250 K and pressures below 10⁻⁹ mbar is much lower on the PdCu surface than expected on the basis of the surface composition. This effect appears to be caused by a low heat of adsorption of hydrogen and CO and Pd singlet sites. Arguments are presented that singlet Pd sites or isolated Pd atoms in a Cu or Ag matrix are able to trap and dissociate the hydrogen molecule at 250 K. The CO desorption spectra are not influenced by pre- or postexposed hydrogen. Adsorbed CO hampers the uptake of hydrogen upon subsequent exposure to hydrogen. Postdosed CO causes adsorbed H adatoms to move to the bulk (adsorbed H). CO exposure at 250 K results in a very broad desorption plateau between 310 and 425 K with hardly discernable maxima. The results can be explained in terms of the size and relative concentration of the various Pd sites present on the surface (triplet, doublet and singlet sites). It can be concluded that for Pd (111) the heat of adsorption of both CO and H differ appreciably for the triplet, doublet and singlet sites. The effect of site has a larger contribution to the decrease of the heat of adsorption with coverage than the effect of lateral interaction in the adlayer. For Pd(111), PdCu(111) and PdAg(111) the effect of the available Pd sites is the major effect that determines the heat of adsorption, followed by the effect of lateral interaction and for the alloy surfaces the electronic or ligand effect.     

CO探针原位红外光谱研究Pt/Sn双金属重整催化剂

催化重整是生产芳烃原料和高辛烷值清洁汽油调和组分的重要工艺。以目前应用广泛的铂锡工业重整催化剂金属含量为参比,用工业剂制备方法合成了Pt含量为0.6%的一系列铂锡重整催化剂,建立CO探针原位红外的表征方法,并对其进行系统表征,首次获得了1%以下低含量助剂Sn的CO探针红外谱图。研究结果表明,系列剂的金属Pt的CO吸附特征峰主要以线式吸附状态存在。0.6%纯Pt剂上1 826 cm-1处CO桥式吸附特征峰,因添加助剂Sn后,强度下降,而CO线式吸附特征峰的强度则增加,说明Sn的加入使得Pt的分散度增加。变温CO探针吸附原位红外研究表明,对负载质量分数0.3%的纯Sn催化剂,当脱附温度升高至120 ℃时,吸附在Sn上的CO特征峰会完全消失。对负载质量分数0.6%的纯Pt催化剂,当脱附温度升高至300℃时,吸附在Pt中心上的CO特征峰会完全消失。当Pt-Sn双金属负载质量分数Pt为0.6%、Sn为0.3%时,CO的脱附温度明显提高达350 ℃。与纯Pt剂相比,随着Sn助剂的加入,使得CO的脱附温度稍有提升,Pt-Sn催化剂Pt的CO特征峰向高波数方向移动,说明Sn的加入一定程度上减弱了活性金属Pt中心上的电荷密度。因而,CO探针原位红外是表征低金属铂锡工业重整催化剂的有效手段,为阐明多金属重整催化剂的助剂作用和研究反应机理提供重要信息。     

Adsorption sites in coadsorption systems determined by photoemission spectroscopy: K and CO coadsorbed on Rh(111)

The adsorption sites of coadsorbed K and CO on the Rh(111) surface have been determined using high-resolution core-level spectroscopy, low-energy electron diffraction and site-resolved photoelectron diffraction. For both a (2×2)-2CO–1K and a -6CO–1K structure, we find that the CO molecules occupy threefold hollow sites and the K atoms on-top sites, contrary to the adsorption sites of K (threefold hollow site) and CO (on-top site below 0.5 monolayers) if adsorbed alone on Rh(111). Deposition of K onto a CO precovered surface is found to induce large shifts towards lower binding energy of the C and O 1s core levels (0.7 eV for C 1s and 1.5 eV for O 1s). The major part of these shifts is shown to arise from the K-induced site change of the CO molecules. This finding may be of importance in the interpretation of XPS data of related co-adsorption systems. Finally, it is suggested that the C and O 1s binding energies provide useful fingerprints of the CO adsorption site also for co-adsorption systems.     

The factorization approximation for the Master Equation

We examine the validity of the application of the Factorization Approximation to derive the Master Equation for a microscopic system coupled to a reservoir. We developed a formal perturbation expansion for the time evolution of the system reduced density matrix. We employed a diagrammatic schemes to produce each term of the perturbation series. The diagrams in the time domain provide a distinct criteria to distinguish the diagrams which survive the Factorization Approximation. The Feynmann-like diagrams in the energy domain, originated from the Resolvent method, are used for execution of diagram summations to estimate their overall contributions. We demonstrated that for a two level atomic system, interacting with a thermal reservoir, the summation over the diagrams which survived the Factorization Approximation, yields the proper time evolution of the system, in agreement with the solution of the Master Equation. The summation of the diagrams which are excluded by applying the Factorization Approximation are characterized by a dimensionless parameter: Γ/ω₀, where ω₀ is the frequency of the transition line, and Γ is the line width. The Factorization Approximation is thus rigorously justified when this expansion parameter is very small.     

Anti-hermitian contracted schrödinger equation: direct determination of the two-electron reduced density matrices of many-electron molecules

Two-electron reduced density matrices (2-RDMs) of many-electron molecules are directly determined without calculation of their wave functions by solving the anti-Hermitian contracted Schr?dinger equation. Approximation of the 3-RDM in the anti-Hermitian contracted Schr?dinger equation by a corrected cumulant expansion [Mazziotti, Phys. Rev. A 60, 3618 (1999)] permits the direct calculation of the energy and 2-RDM with many high-order correlation effects included. The method is illustrated for the molecules BeH2, H2O, NH3, CH4, and CO as well as the dissociation of BH. Correlation energies are obtained within 95%-100% of full-configuration interaction, and 2-RDMs very nearly satisfy known N-representability conditions.