Infrared study of CO adsorbed on Co/c-Al O based 2 3 Fischer–Tropsch catalysts ; semi-empirical calculations as a tool for vibrational assignments L. E. S. Rygh,* O. H. Ellestad, P. Kl~boe and C. J. Nielsen Department of Chemistry, University of Oslo, P.O. Box 1033, N-0315 Oslo, Norway. E-mail : l.e.s.rygh=kjemi.uio.no Received 6th January 2000, Accepted 14th February 2000 The adsorption of CO(g) on a Co/c-Al O catalyst has been studied by di†use reÑectance infrared 2 3 spectroscopy. The e†ects of pressure, temperature and the addition of O (g) and H (g) have been investigated. 2 2 Vibrational bands can be assigned to speciÐc carbonyl species on the reduced Co catalyst, at low surface concentration, via a theoretical model. The basis for the model is an empirical relation between the number of valence electrons in transition metal carbonyl complexes and the corresponding carbonyl stretching frequency. This relation has been extended to metallic surfaces and combined with results from extended Huckel calculations. Introduction Experimental Infrared spectroscopy can be used to study CO which is adsorbed on various metal surfaces and catalysts. The spectral interpretations are mostly limited to the classiÐcation of ““ linear ÏÏ and ““ bridged ÏÏ adsorptions and are often based on the assumptions drawn from comparisons with data published on other similar systems. Little attention has been directed towards an interpretation based on established calculation methods. Infrared spectroscopy is a frequently employed method to study ““ non-ideal ÏÏ systems like small metal particles on a support, where the application of more exact structural methods is limited ; vibrational assignments that are more speciÐc would therefore be of particular interest. Vibrational spectroscopic studies of various Co/Al O catalysts,1h10 2 3 cobalt Ðlms11h20 and of the cobalt single crystals, Co(0001)21h23 and Co(10-10)24 have been presented. Cobalt single crystals have also been studied by LEED, Auger spectroscopy and thermal desorption methods.25h31 In this work, we report our studies of a 12% Co/c-Al O 2 3 catalyst. To interpret the spectra, we have combined an empirical method to predict the carbonyl stretching frequencies in transition metal carbonyl complexes with semiempirical ASED-MO (Atom Superposition and Electron Delocalisation Molecular Orbital ; extended Huckel) calculations on metal clusters.32,33 Essentially, the empirical method is based on a correlation which assumes that the force constants for metal carbonyl complexes are related to the number of available valence electrons of the metal. The COÈCO interaction constants are assumed to depend on the bonding angles alone. Expansion of this model to include carbonyl species adsorbed on surfaces requires primarily a knowledge of the actual number of valence electrons on the various surface metal atoms. Semi-empirical calculations can, once veriÐed, be considered as an additional tool for assigning the vibrational bands observed in real catalysts. Information from various studies of single crystals21h24 is especially interesting in this connection. The infrared studies of Co O ,34 3 4 Co (CO) ,35h37 Co(CO) ,38 CoAl O ,39 Co Ðlms or 2 8 n 2 3 foils11h20 provide relevant reference material. DRIFTS (Di†use ReÑectance Infrared Fourier Transform Spectroscopy) spectra were recorded with a Perkin Elmer model 2000 FTIR instrument using a spectral resolution of 8 cm~1. The DRIFT unit including a vacuum chamber was delivered from Harrick Sci. Corp. For information about DRIFTS for heterogeneous catalyst studies, see refs. 40 and 41. All spectra presented here are transformed into KubelkaÈ Munk units. The reactants were introduced via a gas-handling manifold including a mixing chamber of glass. The pressure was measured by an absolute pressure transducer from Balzers. The purities of the gases used in the experiments were 99.997% (CO), 99.9997% (H ), 99.998% (O ) and 99.9995% (N ). Fur2 2 2 thermore, the gases were cleaned prior to use by passing them through the following gas puriÐers from Supelco : an OMI-1 Indicating PuriÐer (H and N ), a Supelpure O-trap (CO) and 2 2 a drying tubeÈMolecular Sieve 5A (CO, O ). Contamination 2 from oxygen should be reduced to less than 0.5 ppm by this procedure. The 12% Co/c-Al O catalyst was made by impregnating 2 3 c-Al O (Akzo, Alumina 000È1 1/2 E) with an aqueous solu2 3 tion of Co(NO ) É 6H O, using the incipient wetness tech32 2 nique. Subsequently, the sample was dried at 100 ¡C and calcinated at 300 ¡C. The catalyst was reduced in-situ for 16È20 h under atmospheric pressure by a stream of H at 400 ¡C. After the 2 reduction procedure the system was cooled to the desired temperature before evacuation and subsequent introduction of CO(g). The CO pressure was typically 1È150 mbar, and the CO adsorption was studied as a function of temperature (30È 400 ¡C) and time before and after exposing the catalyst surface to additional H or O . Temperature changes were performed 2 2 with a rate of 1È2 deg min~1. DOI : 10.1039/b000188k Theoretical model for spectral assignments at low surface coverage An empirical relation between the number of valence electrons and the carbonyl stretching frequency has been found for carPhys. Chem. Chem. Phys., 2000, 2, 1835È1846 This journal is ( The Owner Societies 2000 1835 bonyl complexes of transition metals.42 (See Appendix A.) In this relation the force constants for metal carbonyl complexes are expressed in terms of the number of valence electrons of the metal atom, the ionic charge of the complex and of the various ligands. Essentially, the model is a parametrization of the number of electrons available for bonding. The Co(CO) x (x \ 1È4) species found on Co surfaces are very ““ complexlike ÏÏ, as they are rather loosely attached to the neighbouring cobalt atoms and are able to migrate along the metal surface. Consequently, the only modiÐcation we have introduced to the model presented by Timney,42 is to replace the combined contribution from ionic charge and ligand e†ects, by a calculated number of valence electrons for the individual cobalt atoms. The number of available electrons on the various surfaces, on edges and corners was obtained by ASED-MO (extended Huckel) calculations.32,33 The gross atomic charges obtained in this way do not necessarily represent the number of electrons available for bonding. The number of available electrons may be either lower, as s-electrons are occupied in metalÈ metal bonding, or higher, as surface atoms may draw on electrons originally ““ belonging ÏÏ to the underlying layers during the formation of the metal carbonyl bond. It is therefore essential that the results be compared with the experimental data in a critical way. The ASED-MO calculations were performed using a quantum chemistry program ICONC&INPUTC developed by G. Calzaferri and M. Brandle43 and obtained through Quantum Chemistry Program Exchange (QCPE). However, it is necessary to have data for the atomic valence orbital ionization potentials and the Slater orbital exponents. Using this program, we have not experienced any problems with metal cluster models consisting of as much as 160È200 atoms depending on the symmetry of the actual cluster. The cluster models employed are shown in Appendix B. Primarily, we aimed to Ðnd the number of valence electrons typical of Co atoms situated well within the various surface planes, that is, as far away from the edges/corners as possible. This number is best approximated by the theoretical values calculated for the Co atoms situated in the middle of the model surfaces. The models are such that 2.4 to 4 atoms in all directions surround various central surface atoms. The number of valence electrons for Co atoms situated at edges/corners was estimated in a similar manner. perature. The various CO stretching modes arising from CO adsorbed on Co (and Al) atoms, all lead to absorptions in the 2300È1700 cm~1 region. The e†ects of exposure time, temperature, CO pressure, oxidation, and hydrogenation are illustrated in Figs. 2È7, respectively. The inÑuence of the reduction temperature is presented in Fig. 8. Bands above 2100 cm—1. When CO(g) is introduced to the Co catalyst at 200È250 ¡C, an increased absorbance in the region 2400È2300 cm~1 is observed after some time (Fig. 9). This indicates the increase in the amount of both adsorbed and gaseous CO present. (The latter increase is not an arti2 fact due to the variations of the CO concentration outside 2 the cell.) The amount of adsorbed CO decreases simultaneously in the same period. In the region 2300È2100 cm~1 we observe bands at 2250(sh), 2230 and 2180 cm~1 (Figs. 1 and 3È9). The inten- Fig. 2 FTIR spectra of CO on 12% Co/c-Al O after exposure to 2 3 P \ 1 mbar at room temperature : ÈÈ immediately after introCO duction, É É É É after 2 min, È È È after 50 min, È É È É after 6 h, ÈÈ after 20 h. Results The Co/c-Al O catalyst 2 3 A typical DRIFTS spectrum of CO(g) adsorbed on a 12 wt.% Co/c-Al O catalyst is given in Fig. 1. This shows a reduced 2 3 catalyst exposed to 1 mbar of CO(g) for 5 min at room tem- Fig. 1 FTIR spectrum of CO on 12% Co/c-Al O 5 min after expo2 3 sure to P \ 1 mbar at room temperature. CO 1836 Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 Fig. 3 FTIR spectra of CO on 12% Co/c-Al O as a function of 2 3 (b) 125 ¡C ; (c) temperature, P \ 1 mbar : (a) room temperature, CO 200 ¡C, (d) 250 ¡C. Fig. 4 FTIR spectra of increasing h on 12% Co/c-Al O after CO 2 3 exposure to CO(g) at 200 ¡C : (a) P \ 0.3 mbar, (b) P \ 1 mbar, CO CO (c) P \ 5 mbar, (d) P \ 20 mbar, (e) P \ 20 mbar (after 8 min), CO CO CO (f ) P \ 60 mbar, (g) P \ 150 mbar. CO CO sities of the bands increase with both time and temperature. However, the increase as a function of time is small at room temperature. The band intensities are to some extent a†ected by the pressure of CO(g), but the bands are still visible after 50 min of evacuation at room temperature. In contrast, all bands disappear when the sample is exposed to H (g) at 200È250 ¡C 2 (Figs. 6 and 7). The 2180 cm~1 band is somewhat difficult to study since it is of low intensity and therefore often hidden by neighboring bands. At higher CO pressures, the 2180 cm~1 band is concealed by the R-branch of the CO(g) band centered at 2143 cm~1, and at higher temperatures, it is obscured by the 2230 cm~1 band. However, we observed that the 2180 cm~1 band is relatively invariant with respect to evacuation or oxidation, (Fig. 5). Traces of oxygen may increase its band intensity. After some time it disappears on exposure of high concentrations of O . Introduction of H may also in some 2 2 Fig. 5 IR spectrum of CO on 12% Co/c-Al O catalyst before and 2 3exposure to P \ 1 after oxidation at room temperature : (a) 1 h after CO of mbar followed by rapid evacuation, (b) 5 min after introduction P \ 0.2 mbar to the system in (a). O2 Fig. 6 FTIR spectra of CO on 12% Co/c-Al O before and during 2 3 FischerÈTropsch activity at 200 ¡C : (a) after 10 min with P \ 150 mbar, (b) after 3 h with P \ 150 mbar, P \ 300 mbar, (c)COafter 20 CO H2 h with P \ 150 mbar, P \ 300 mbar, (d) after additional 6 h with CO H2 P \ 150 mbar, P \ 600 mbar followed by evacuation to P \ 10 CO H2 tot mbar. The addition of extra hydrogen did not result in any intensity changes, only a decrease in l from 2023 cm~1 to 2015 cm~1. max cases result in an immediate increase in the intensity. A closer study of the absorption reveals a varying degree of structure, with band maxima at 2210(sh), 2200(sh), 2182, 2175(sh) and 2155(sh) cm~1. There also seems to be a weak, broad feature near 2120 cm~1. Under FischerÈTropsch conditions, CÈH stretching bands are observed around 3000 cm~1, indicating reaction products. In our experiments, we observed mainly an absorption due to CH (g) at 3017 cm~1. This may obscure other neighboring 4 bands. Nevertheless, we were able to distinguish an initial band at 2908 cm~1 which developed prior to the band at 3017 cm~1. Fig. 7 FTIR spectra of CO on 12% Co/c-Al O before and during FischerÈTropsch activity at 250 ¡C (P \ 21503 mbar, P \ 300 CO H2 after mbar) : (a) 50 min after introduction of CO(g), (b) immediately introduction of H (g), (c) 15 min after introduction of H (g), (d) spec2 2 trum (b) minus spectrum (a). Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 1837 Fig. 8 IR spectrum of CO on 12% Co/c-Al O catalyst 20 min after 2 3 exposure to P \ 1 mbar at room temperature : È È È catalyst CO reduced at 400 ¡C, ÈÈ catalyst reduced at 500 ¡C. Bands in the region 2100–1700 cm—1. At CO(g) pressures of less than 1 mbar, a broad absorption band was observed at ca. 1990 cm~1. When the pressure was increased, it was shifted towards 2060 cm~1 and/or was overlapped by absorptions at higher wavenumbers. Variations in the band shape at di†erent pressures or di†erent temperatures indicated that, at high wavenumbers, it consisted of at least two bands located around 2060 and 2030 cm~1 (Fig. 4). The 1990 cm~1 band is more resistant towards evacuation than is the absorptions at higher wavenumbers. Absorptions at 1900 and 1805 cm~1 were observed immediately after introduction of 1 mbar CO gas. (Figs. 1, 5(a) and 8). By increasing the exposure time and/or temperature, both bands changed and reshaped themselves into a broad, low wavenumber ““ tail ÏÏ which showed no clear intensity maxima and was indistinguishable from the continuous bandstructure dominating the 2100È1700 cm~1 region. The degree of reduction obtained prior to the introduction of CO, determined whether the absorptions at 1900 and 1805 cm~1, existed as distinct bands or not. T emperature dependence. The temperature did not have any dramatic e†ect on the band shapes (Fig. 3). However, after prolonged exposure to CO(g) at higher temperatures the CO adsorption process was no longer completely reversible due to Fig. 9 FTIR spectra of CO on 12% Co/c-Al O after exposure to 2 3 150 mbar CO at 250 ¡C : (a) immediately after introduction of CO(g), (b) after 50 min [identical to 7(a)]. For comparison, a spectrum of CO (g) over KBr is presented (c). 2 1838 Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 other factors such as the dissociation of CO. There were also small variations in the wavenumbers of the intensity maxima. In general, the apparent band maximum, l , Ðrst shifts to Imax lower wavenumbers following heating from room temperature to about 125È150 ¡C ; then blue shifts with temperature up to 200 ¡C ; and Ðnally red shifts upon further heating to 250 ¡C. The spectral changes as a function of time after CO introduction also varies with the actual temperature. After CO(g) introduction at room temperature, the temperature was raised to 150 and 200 ¡C, and at each temperature level there was an interval where we studied the time dependence of the CO absorptions. From this, we found that l increases with Imax time in the region from room temperature to 150 ¡C and mainly decreases as a function of time at higher temperatures. When CO was introduced directly at 200 ¡C, we observed that l increased, decreased, increased once more and then Imax Ðnally decreased again as a function of time. Furthermore, we found that adsorbed CO which dissociated at higher temperatures may have recombined when the temperature was lowered (Fig. 10). Introduction of O and H . The introduction of O after CO 2 2 2 adsorption had a marked e†ect on the spectrum. Even small amounts of O (g) at room temperature made all the Co(CO) 2 x bands disappear, the more resistant species having the lowest wavenumbers (Fig. 5). We also observed that evacuation and oxidation at room temperature, followed by heating to at least 300 ¡C and then subsequent cooling, reestablished a band at 1920 cm~1 (Fig. 11). Introduction of H at higher temperatures, where the 2 FischerÈTropsch reaction is active, resulted in developments very similar to what was observed during the oxidation process. The bands at the highest wavenumbers are the Ðrst to disappear. Those are followed by the bands of lower wavenumbers until (nearly) all molecularly adsorbed CO is consumed by the reaction (Fig. 9). The CO(g) in the reaction chamber is not always all consumed in the reaction, since the reaction products are not removed from the surface. Therefore, at 200 ¡C, the reaction eventually ceases upon the introduction of syn gas at higher pressures, see Fig. 6. The spectral region from 2100È1700 cm~1 then undergoes no more change, the intensity maximum being typically around 2020 cm~1. With evacuation, the band maximum decreases to 1920 cm~1 before it vanishes. In contrast, all molecularly adsorbed CO Fig. 10 FTIR spectra of CO on 12% Co/c-Al O recorded after 1 h 2 the 3 situation in Fig. of FischerÈTropsch activity at 250 ¡C [i.e. after 6(c)], showing how CO that is dissociated at 250 ¡C may recombine at lower temperatures : (a) T \ 250 ¡C, (b) T \ 150 ¡C, (c) T \ room temperature. Fig. 11 FTIR spectrum of CO on 12% Co/c-Al O showing that 2 3 dissociated CO may recombine after annealing. After oxidation at room temperature all bands in the region 2100È1800 cm~1 had disappeared, and the sample was annealed at 300 ¡C during the night. When the temperature was lowered back to room temperature, recombined CO gave rise to the band at 1920 cm~1. seemed to be dissociated after 1 h of FischerÈTropsch activity at 250 ¡C. If the temperature was subsequently reduced to 200 ¡C or less, a band appeared at 2030 cm~1 ; this was due to the recombination of CO molecules. Calculation of carbonyl frequencies The method of calculating vibrational wavenumbers of adsorbed CO is described above, and the predicted vibraTable 1 Vibrational wavenumbers for linearly adsorbed monocarbonyl, Co(CO)B, calculated directly from the equation for metal complexes No of valence electrons Atomic charge Wavenumber 6.0 7.0 8.0 8.5 9.0 9.5 10.0 10.5 ]3.0 ]2.0 ]1.0 ]0.5 0 [0.5 [1.0 [1.5 2213 2133 2049 2006 1962 1916 1870 1823 Fig. 12 Cluster model for calculation of the maximum chemical shifts that can result from deposition of CO, carbide or atomic oxygen on a Co(0001) surface. The adsorbed species are on the Co atoms shown as …. The Co atom marked with * is the one for which the number of electrons has been studied. (The cluster model consists of 4 layers containing 49/36/25/16 atoms respectively.) tional wavenumbers for monocarbonyl species (calculated from eqn. 1, Appendix A) are shown in Table 1. From Table 1, the di†erence in wavenumbers per valence electron (or per atomic charge) is about 80 cm~1. The number of valence electrons, typical of cobalt atoms which were situated at various planes, edges and corners, were estimated by ASED-MO calculations. The results are presented in Table 2 together with the corresponding theoretical wavenumbers of adsorbed mono- and polycarbonyl species. The cluster models are shown in Appendix B. A comparison between calculated wavenumbers and experimental data for CO adsorbed on single crystals is presented in Table 3. A single CO molecule adsorbed on Co(0001) is estimated to give rise to a band around 1978 cm~1. Accordingly, a single CO molecule adsorbed on any other plane will give rise to absorption bands at wavenumbers lower than this. On edges and corners single CO molecules may even have wavenumbers as low as 1835 cm~1 (Table 2). For the dicarbonyl species, l will be in the region 2017È1879 cm~1, l is predicts a ed to be between 1977 and 1831 cm~1 and l [ l for a spes a ciÐc species is D50 cm~1. For the tricarbonyl species l is s expected to be in the region of 2052È1918 cm~1, l in the d region 1997È1853 cm~1 and l Èl is D55 cm~1. s d To estimate the wavenumber shifts resulting from the dissociative adsorption of CO and from full surface coverage, the cluster model was expanded with non-metal atoms/molecules such as carbon, oxygen or carbon monoxide. These species Table 2 Number of valence electrons characteristic of di†erent Co atoms situated at various planes, edges or corners estimated by ASED-MO calculations ; as well as vibrational wavenumbers calculated for low coverages of mono- and polycarbonyl species on various planes, edges and corners, see Appendix B Calc. no. of valence electrons Surface No. of atoms s p d Co(0001) Co(10-10)a Co(01-10) Co(10-12) Edge Corner (a) Corner (b) 126 160 148 169 110 125 125 0.67 0.67 0.64 0.66 0.64 0.69 0.55 0.20 0.19 0.16 0.16 0.10 0.11 0.05 7.94 8.23 8.68 8.69 9.30 8.80 9.77 Total Co (CO) l m co Co (CO) m 2 l l s a Co (CO) m 3 l l s d 8.81 9.10 9.47 9.51 10.03 9.60 10.37 1978 1953 1919 1915 1867 1907 1835 2017 1992 1960 1956 1910 1948 1879 2052 2028 1996 1993 1948 1985 1918 1977 1951 1917 1913 1864 1905 1831 1997 1971 1938 1934 1886 1926 1853 a There are two possible versions of this plane. This one is that parallel to the fcc (110). Table 3 Calculated vibrational wavenumbers for linearly adsorbed monocarbonyl species compared to the corresponding experimental values Cobalt crystal plane l /cm~1 calc work This l /cm~1 calc ASED-MO data, ref. 53 l /cm~1 calc calc., ref. 44 DFT l /cm~1 exp 22, 24 Refs. Co(0001) Co(10-10) 1978 1953 1915 È 2035 È 2012 at 10 L 1972 at 0.05 L 2020 at 10 L Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 1839 Table 4 Calculated chemical shifts due to carbide, oxygen or carbon monoxide deposited on the 18 nearest atoms Species adsorbed in neighbouring position *l/cm~1 Calculated (ASED-MO) *l/cm~1 Experimental, CO/Mo(110), ref. 14 ÈC ÈO ÈCO 38 22 12 40 19 È were added in ““ on-top ÏÏ positions to 18 Co atoms, surrounding the central atom, (Fig. 12). A Co cluster model consisting of four layers with 49/36/25/16 Co atoms was employed for the calculations. As before, the calculated number of electrons characteristic of the central atom in the upper layer was then used to predict the CO stretching frequency. The results from these calculations are compared to experimental data from the CO/Mo(110) system in Table 4. Discussion It is generally accepted that the vibrational frequency of CO adsorbed on an oxidized metal lies above 2100(È2130) cm~1, while metal carbonyls of the reduced metal absorb below this value.45h49 Linear carbonyls absorb at higher wavenumbers than the bridged ones, which are expected to absorb below about 1950 cm~1. There is evidently more controversy concerning this limiting wavenumber, as some authors would say below 2000 cm~1,46h48,50 and others again below 1880È1930 cm~1.45,49,51 Triply coordinated species are seldom assigned, but they are assumed to absorb at lower values than 1900 cm~1.46h48,50 Already in 1964, Blyholder pointed out that CO adsorbed at exposed metal atoms on the edges and corners of metal crystallites, may give rise to bands as far down as 1800 cm~1.52 The possibility of polycarbonyl species contributing in this region has also been suggested.34 The assignment of the vibrational bands of CO, adsorbed on a speciÐc supported metallic catalyst, is often based on various infrared studies of ideal systems. The spectra of CO, adsorbed on the corresponding metal Ðlms, speciÐc crystal planes or metal oxide surfaces are informative, as are also studies of metal carbonyl complexes. Nevertheless, unsupported, such data does not allow one to distinguish between the characteristic wavenumbers of CO that is multicoordinated to the metal, and CO that is adsorbed on various planes/edges/corners. To attain this information, it is necessary to combine the infrared studies with results from corresponding LEED (Low Energy Electron Di†raction) studies and/or with theoretical calculations. Calculated vibrational wavenumbers The estimated numbers of valence electrons typical of atoms situated at various planes, edges and corners are presented in Table 2. An extended Huckel calculation of the Co(0001) surface has also been presented by Sung and Ho†mann.53 Their calculated value for the number of valence electrons is 9.5, or 0.7 electrons higher than our results. Although signiÐcant, this is easily explained on basis of the di†erences in the cluster models. Sung and Ho†mann used a model based on a two-dimensional inÐnite surface with four atomic layers. In our smaller clusters the atoms situated in the outer rim of such clusters are coordinately unsaturated and will therefore attract electrons from the neighboring atoms. Real metal particles consist of Ðnite surfaces that are also less than ideal. In addition, the changes in the important surface properties are small on going from a 3- to a 4-layer slab.54 A comparison between the vibrational wavenumbers predicted from the number of valence electrons calculated by Sung and Hoffmann and by us is presented in Table 3, together with the 1840 Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 corresponding experimental values.22,24 Theoretical wavenumbers found by Density Functional Theory (DFT)44 are also included in this table. The CO adsorption on Co(0001) at pressures below 10 L has not been studied by IR before this publication. An increase in the CO pressure from 0.05 to 10 L has been shown to give a blue shift in the peak position by 50 cm~1 for Co(10-10).24 We expect that CO adsorbed on Co(0001) may display a signiÐcant shift in the same direction given a similar increase in the CO pressure. On this basis, our theoretical values are therefore quite consistent with the experimental measurements. We now compare the experimental data from refs. 22 and 24 to the estimated vibrational wavenumbers for monocarbonyl species. From the spectra of CO adsorbed on Co(0001)22 and Co(10È10),24 we Ðnd that 10 L of CO gives rise to absorptions at 2012 cm~1 and 2020 cm~1, respectively (Table 2). Since LEED studies indicate that the density of adsorbed CO molecules is also approximately the same, this result is unexpected as CO adsorbed on Co(0001) is believed to give rise to the higher wavenumber absorbances. (See also ref. 22.) This apparent contradiction to theory may Ðnd at least two explanations : (i) Our expectations concern the Ðrst molecule that adsorbs on the actual surface. Moreover, we have no indications that the shifts due to chemical¤ or coupling” e†ects46,55 will be of exactly the same size for di†erent crystal planes and di†erently arranged CO molecules. In this connection, the absorptions at 2012 and 2020 cm~1 are relatively close in wavenumbers. The CO molecules adsorbed on Co(10-10) might therefore give rise to larger positive shifts than do the CO molecules adsorbed on Co(0001). (ii) Dicarbonyls could be adsorbed on Co(10-10) instead of monocarbonyls (see Table 2), as mono- and dicarbonyls are indistinguishable in LEED unless extensive and complicated calculational work is carried out.56 The estimated chemical shifts for full CO coverage, for carbidization and oxidation are presented in Table 4. Carbidization seems to lead to a signiÐcantly larger shift towards higher wavenumbers than oxygenation, in accordance with reports from IRAS (Infrared ReÑection Absorption Spectroscopy) studies of Mo(110).14 However, the total shift caused by the increasing surface coverage is underestimated. We can only Ðnd the e†ect of the chemical shift, while the shift due to coupling e†ects is neglected. It must also be kept in mind that the extended Huckel parameters that have been employed are developed for the clean metal. When non-metal species are added to the metal surface, the resulting cluster may possess characteristics from both complexes and metals. In consequence, the cluster may be characterized by modiÐed extended Huckel parameters. Finally, we have neglected surface restructuring in our model. The calculated chemical shifts are therefore only qualitative and should not be used rigorously. Our model is restricted to the prediction of the wavenumbers for mono- and polycarbonyl species only. Although bridged species are not directly implemented, it is possible to make some deductions concerning their likely vibrational wavenumbers. We infer from the observed wavenumbers of CO adsorbed on the Co(0001) plane that the Co atoms have a number of valence electrons that are approximately the same as in neutral Co carbonyl complexes. From this, we deduce that bridged species, situated on this surface and at low coverage, will be close in wavenumbers to the corresponding ¤ Changes in the electronic environment of the molecules, such as competition for the electrons involved in synergetic r- and p-bonding limited to a few lattice spacings, may cause shifts of either sign. ” Collective term for long range dipolar couplings or much shorter range van der Waals type of interactions ; includes shifts due to dipoleÈdipole interactions. doubly or triply bridged carbonyl groups in Co clusters like Co (CO) or Co (CO) . In addition, we know that the CO 2 8 4 12 adsorbed on the Co(0001) surface gives rise to the highest wavenumbers. At low coverage one would therefore expect the wavenumbers of well deÐned, doubly coordinated carbonyl species to appear below D1900 cm~1 and triply coordinated species below D1830 cm~1. This is in accordance with our observations. Nevertheless, on surfaces, in contrast to complexes, there exists a possibility for so-called ““ half-bridged ÏÏ situations. It must therefore be emphasized that the discussion above concerns the well-deÐned covalent species. We shall Ðnally make some additional comments on the density functional theory (DFT) calculations on a symmetric Co CO cluster mimicking CO adsorbed on a Co(0001) 13 surface.44 The Co cluster consists of three c.c.p. layers with 3, 7 and 3 Co atoms, respectively. The calculated absorbances for the CO stretching mode is 2035, 1860 and 1751 cm~1 for CO adsorbed in an ““ on-top ÏÏ, a bridged and a three-foldhollow position, respectively. Wavenumbers calculated at this level of approximation are normally 2È3% too high, although for this speciÐc type of system, the error is less systematic, probably due to complexities in electronic structure.57 Toomes and King24 have assigned absorption bands at 1900 cm~1 (10~3 mbar) and 1850 cm~1 (10È300 mbar) to CO molecules adsorbed in a bridged and a three-fold hollow position on Co(0001), respectively. Two to three percent lower values for the 2035 cm~1 band would result in an absorption in the range 1994È1973 cm~1 for linearly adsorbed CO, which is well within our results and with the observed spectra. On the other hand, values 2È3% lower for the 1860 and the 1751 cm~1 bands calculated for bridged and triply coordinated carbonyl species are clearly inconsistent with the experimental data. The Co/c-Al O catalyst 2 3 Results from temperature programmed desorption (TPD) have shown that the Co/c-Al O catalyst consists of four 2 3 phases : 58h60 (i) the alumina support itself ; (ii) a CoAl O 2 4 spinel phase ; (iii) an amorphous Co O phase interacting with 3 4 the support ; and (iv) a crystalline Co O phase. The divalent 3 4 Co atoms existing in the spinel phase are rather inactive towards adsorption of CO ; their tetrahedral coordination and surface shielding61 is a rational used to explain this. The extent of reduction is found by temperature programmed reduction (TPR) to be around 40È50% after 14 h at 350 ¡C.62,63 Bands above 2100 cm—1 and below 1700 cm—1. The CÈH stretching bands that were observed at ca. 3000 cm~1 conÐrmed that FischerÈTropsch reactions were taking place. In addition to the absorption due to CH (g) at 3017 cm~1, we 4 also distinguished a band at 2908 cm~1. We recognize this band to be identical to the 2915 cm~1 band that is assigned to formic acid on alumina,64 which is an intermediate in one of the two reaction paths for producing hydrocarbons.65 The observed increase in the amount of CO and the simul2 taneous decrease in the amount of adsorbed CO subsequent to the CO(g) introduction at 200È250 ¡C is caused by disproportionation of CO (the Boudouard reaction) : 2CO(ads) ] C(ads) ] CO (g, ads) 2 where the produced CO may be in form of gas or loosely 2 adsorbed molecules (Figs. 7 and 9). The observed bands at 2250(sh) and 2230 cm~1 are present in the spectra of CO adsorbed on Al O ,45 while they are 2 3 absent in the corresponding spectra of CoAl O 39 and 2 3 Co O .34 Accordingly, the two bands are assigned to mono3 4 carbonyls situated on tetrahedrally and octahedrally coordinated Al3`, respectively.45 The observed increase in the band intensity with increasing time and temperature indicate that a progressively larger area of the bare support (not spinel phase) is exposed and thereby is accessible for CO adsorption. This progress is ascribed to a restructuring of the catalyst surface, which includes sintering of the Co particles. The disappearance of the 2250(sh) and 2230 cm~1 bands after treatment with H is in accordance with other reports.66,67 A linear 2 correlation between the loss of hydroxy groups and the increase in the amount of CO chemisorbed to the Al3` sites of pure c-Al O has been demonstrated. V ice versa, an increase 2 3 in the amount of hydroxy groups due to treatment with H 2 should then result in a decrease in the amount of CO adsorbed on Al3` atoms. When CO was adsorbed on bare alumina, the band at 2180 cm~1 was not observed. Theoretically, the absorption should have agreed with that due to the CO adsorbed on a Co atom with a positive charge of 2.6, corresponding to coordinately unsaturated Co3` atoms at the surface (Table 1). However, when the metallic charge is high, the character of the MÈCO bonding may have some (or complete) electrostatic character. The d-2p back-donation, which our model is based on, is then lacking.45 A correlation between the stretching frequency of adsorbed carbon monoxide and the modiÐed electric Ðeld strength produced by the cation adsorption site is then expected. The actual atomic charge is not necessarily the same as the formal charge. Accordingly, the band at 2180 cm~1 might be assigned to CO adsorbed at Co atoms both with formal charge ]2 and ]3, but with di†erent coordination to neighboring metallic atoms or di†erent degree of coordinative unsaturation. From the literature, we Ðnd that the absorption has both been assigned to CO adsorbed on Co2`,6 and Co3`.34 The 2180 cm~1 band is also characteristic of CoAl O ,39 where the cobalt exists as Co(II). 2 3 Bands in the region 1700È1200 cm~1 are assigned to carbonate species predominantly found on the alumina support. No further description or discussion of these bands will be attempted here. Bands in the region 2100–1700 cm—1. The di†erent bands appearing in the CO stretching region indicate the existence of various structures. The di†erence in extinction coefficient between bands originating from linear and bridged species is not known, but we assume that it is small. More important, the possibility of intensity transfer from the low to the high wavenumbers has been demonstrated.46,55 This complication arises when species are closely adsorbed on a catalyst segment and individual molecular vibrations have wavenumbers that are close to each other. We observe that the relative intensity of the infrared bands below 2000 cm~1 (Fig. 1) are signiÐcantly lower compared to observations from similar studies of Rh containing catalysts.41 In spite of this, we have no certain indication of the relative amounts of bridged species (or other species that absorb at the lower wavenumbers). The reason is that we do not know which surface planes are exposed or the degree of surface restructuring we are dealing with. The nature of the surface is important, as better metal conductors give rise to larger extent of intensity transfer. In short, the amount of species in the lower wavenumber region might easily be underestimated. According to our calculations, polycarbonyl species may contribute to the absorptions for most of the region 2000È 1800 cm~1 (Table 2). Nevertheless, for good metal conductors ““ the metal surface selection rule ÏÏ46,68 should also be obeyed. According to this rule, only those modes that have vibrational dipole moments perpendicular to the metal surface (in general the symmetric modes) will have measurable intensities. Although the surface of cobalt catalyst is not ideal, we assume that the intensity of l and l in most cases shall be (very) low a d compared to l . From our own spectra, we therefore conclude s that subcarbonyls do not make any signiÐcant contributions to the observed intensities below 1900 cm~1. Accordingly, the Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 1841 absorptions below 1900 cm~1 are expected to arise either from CO adsorbed in a bridged position (see the previous section) or from monocarbonyls adsorbed on defects, steps or corners. The 2060 cm~1 band dominates most spectra, by virtue of its high intensity and broadness. Clearly many di†erent species may contribute to this absorption signal, and all of them are consumed during the FischerÈTropsch process. That is, they are either actually part of an active site, or they are able to migrate to such a site during the reaction. According to the continuous-Ñow study performed by Fredriksen et al.,3,4 the band may also be present while there is FischerÈ Tropsch activity. (See the next section.) On the other hand, in our study we have not been able to reestablish the band once it has disappeared during the hydrocarbon formation. Further introduction of CO(g) only gives rise to band structures that are both lower in wavenumbers and in intensity, even when the CO gas pressure is substantially higher than at Ðrst. This implies that a less dense arrangement of adsorbed CO, obtained by evacuation or by CO being consumed in the FischerÈTropsch process, permits some kind of restructuring of the surface layer. The absorption at 2060 cm~1 is also characteristic of the Co(0001) surface,22 which has been shown to be active in the FischerÈTropsch process.21,23 Exposure to CO(g) at higher temperatures leads to reconstruction of this surface.22,69 Changes in the morphology of the Co(0001) surface following CO hydrogenation at pressures above 1 bar have also been detected by scanning tunneling microscopy (STM).69 From the latter observations it has been suggested that cobalt mass transport occurs via an etchÈregrowth process, leading to the formation of triangular shaped cobalt islands and thereby to a signiÐcant increase in the number of coordinativly unsaturated sites. (The fraction of all cobalt atoms in the uppermost atomic layer occupying edged sites is calculated to be around 50 percent after the restructuring.) This mechanism is consistent with the fact that only one type of Co site is found to be present on the surface, and that CO hydrogenation is a structurally insensitive reaction.70,71 Beitel et al.22 investigated the e†ect of CO on the Co(0001) surface by RAIRS (infrared reÑection absorption spectroscopy), LEED and XPS (X-ray photoelectron spectroscopy) and were able to detect that the presence of CO led to formation of defects on the surface, which we, in spite of the di†erence in pressure, attribute to the cobalt mass transport mechanism described above. The CO adsorbed on these defects is found to give rise to an infrared absorption maximum appearing in the region 2055È80 cm~1, while CO adsorbed on the ideal surface is expected to absorb at lower wavenumbers. The authors ruled out that the band at 2080 cm~1 is due to the direct inÑuence of adsorbed carbon or oxygen, and reported the indications that the absorption arises from species adsorbed on the active sites for the carbon chain growth.21,22 This is an unexpected result, and the authors also state that : ““ This, for cobalt, unexpected result shows that our current understanding of CO bonding to group VIII metals is incomplete ÏÏ. According to the Blyholder model,52,72 the vibrational band arising from CO adsorbed on the more electron rich site should appear at the lower wavenumber. The absence or presence of di- or tricarbonyls has not yet been proven. These species are not normally considered as a typical starting point for CÈO dissociation, but the existence of polycarbonyls on some defects does not exclude a simultaneous presence of monocarbonyls on others. If the monocarbonyls adsorbed on defects and on terrace sites give rise to absorbances that are rather close in wavenumbers, these may be difficult to distinguish from each other. In a study performed on a 5% Co/Al O catalyst,1 the 2060 cm~1 band is 2 3 also assigned to overlapping contributions from Co(CO) , n 1842 Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 CoHCO and Cod`ÈCO. We have calculated l for CoHCO CO to be very close to (or 5 cm~1 higher than) l for CO, symm Co(CO) , assuming the bonding angle between the substit2 uents to be 90¡. We therefore concur in the interpretation by Kadinov et al.,1 although we shall not rule out the possibility that the relatively broad 2060 cm~1 band also contains a contribution from CO linearly adsorbed on Co(0001). We now turn to the bands at the lower wavenumbers. The absorptions around 1920È1900 cm~1 and 1805È20 cm~1 appear as maxima on the low wavenumber tail of the 2060 cm~1 band for a short time immediately after the introduction of CO (Fig. 1). Both bands Ðt well with the absorptions arising from bridged species. Following the discussion above, bridged species situated at Co(0001) at low coverage should give rise to absorbances that might be a little higher in wavenumbers than the corresponding bridged carbonyl groups in Co clusters. A pair of bands at 1868 and 1857 has earlier been assigned to the bridging CO groups in Co (CO) .35,36 In 2 8 accordance with this, bands at 1900 and 1850 cm~1 have been assigned to CO adsorbed on Co(0001) in a bridged and in a 3-fold hollow position, respectively.22 An absorption band at 1900È1967 cm~1 (0.5 \ h \ 1.0) has also been interpreted as CO resulting from CO adsorbed in a bridged position on Co(1010).24 The band around 1900 cm~1 can therefore be assigned to CO adsorbed in a bridged position (l ) on the catalyst 2 surface, and the band around 1820 cm~1 to CO molecules adsorbed in 3- or 4-fold hollow positions (l or l ). In addi3 4 tion, the absorptions in the higher wavenumber part of the 1900È20 cm~1 band may contain contributions from monoand polycarbonyl species. T emperature dependence. The spectra in Figs. 2 and 3 illustrate the competition of various e†ects and how one (or more) of these may dominate at di†erent temperatures and as a function of time. At the lower temperatures, e†ects resulting from the dense arrangement of the adsorbed CO molecules dominate. With increasing temperature, carbidization and surface restructuring lead to a breakdown of these large (ideal) surface structures, and give rise to other spectral phenomena. It is natural to discuss the temperature dependence of l and Imax I in three temperature regions : max T he temperature region 25È150 ¡C. The red-shift and the accompanying decrease in the intensity of the absorption around 2060 cm~1 when the temperature is raised from 25 to 150 ¡C, are consistent with one or more of the following interpretations : (i) A decrease in the component of the dynamic dipole moment normal to the surface may lead to a decrease in the integrated absorbance. This e†ect can be explained as a consequence of the tendency for the CO molecules to tilt away from each other at surface coverages higher than 0.5 as proposed by Ryberg.46 Alternatively, it may be explained by an increase in the amplitude of the frustrated translation, which occur at higher temperatures. (ii) A decrease in the amount of the CO linearly adsorbed on the surface. In this case, there may be an increase in the total amount of adsorbed CO, due to a structural transition and a simultaneous change of adsorption sites from on top to bridge-bonded sites.22 (iii) Formation of polycarbonyls. (iv) An increasing amount of hydrogen may be adsorbed on the surface, see later. In this case, remains of hydrogen from the reduction procedure must migrate from the catalyst pores or sublayers up to the surface and adsorb there. Small amounts of hydrogen are located somewhere in the catalyst system. This has been conÐrmed by the observation of methane formation (band at 3017 cm~1) after the catalyst had been exposed for 1 mbar CO at 200 ¡C overnight. Interpretation (i) and (ii) are regarded as the most probable, although (iii) and (iv) cannot be excluded. The blue shift in wavenumbers as a function of time, at constant temperature, is predicted to arise from a general increase in the coverage of adsorbed CO. Hence, there must be a competition between the mechanism that leads to the restructuring of the adsorbed CO and the mechanism favoring further adsorption of linearly bonded CO. T he temperature region 150È200 ¡C. The blue shift in wavenumbers with increasing temperature and the simultaneous increase in the intensity of the higher wavenumbers (around 2060 cm~1) can be due to : (i) A further increase in the linearly adsorbed CO and in the total CO coverage. This includes the possibility of CO linearly adsorbed at defect sites. Annealing at 180È220 ¡C and 100 mbar of CO pressure has earlier been shown to lead to the creation of defects at the Co(0001) surface.22 (ii) CO adsorbed on more oxidized sites as a result of the increased CÈO dissociation activity at higher temperatures. (iii) Formation of new surface species. The alternate blue and red shifts in wavenumbers, as a function of time after CO introduction at 200 ¡C, are interpreted to be a consequence of the following e†ects in competition : (i) The initial blue shift results from an increase in the total CO coverage as a function of time. (ii) As CO starts to dissociate, the following red shift may arise from a decrease in the coverage of linearly adsorbed CO (the total coverage of CO may still increase). For Co(0001), a decrease in maximum intensity and a simultaneous red shift (in the pressure range 1È300 mbar) has been shown to result from a dilution of linearly bound CO in bridge-bonded CO.22 (iii) Due to CO dissociation, the adsorption sites are gradually oxidized leading to higher wavenumbers and lower intensities. (iv) Upon further surface carbidization, CO adsorption is inhibited and a decrease in the coverage of adsorbed CO Ðnally leads to a decrease both in the observed wavenumbers and in the intensities of the absorption signal. T he temperature region 200È250 ¡C. The observed red-shift and the decrease in the intensity maximum in this region most probably result from an increase in the CÈO dissociation activity that inhibits CO adsorption. Oxygenation and hydrogenation. Adsorbed molecules of CO are not resistant towards surface oxidation. Nevertheless, oxidation and evacuation, followed by annealing and subsequent cooling, reestablishes a band around 1940 cm~1. This is in accordance with the theory that carbon and oxygen, coming from dissociative adsorption of CO, may recombine at this temperature.9 We have also observed that the absorptions remaining after prolonged FischerÈTropsch activity could have an intensity maximum as low as 2020 cm~1, which decreases to 1920 cm~1 during evacuation. Since bridged CO seems only to form on islands of a certain size ;22 these low wavenumber bands are interpreted as small islands of linearly adsorbed CO in accordance with the refs. 22 and 46. Comparison with infrared studies performed in-situ. It is of interest to compare our results with observations from in-situ systems, and a study has been performed on a 4.7 wt.% Co/cAl O catalyst almost identical to our own sample.3,4 In this 2 3 particular experiment the catalyst was exposed to a Ñow of syn gas (H /CO \ 2, P \ 6 bar, T \ 200 ¡C). Any di†er2 syn ences between the results might therefore be explained in terms of the di†erences in pressure, di†erences in metal content or the Ñow vs. the static system. In spite of considerable di†erences in the experimental conditions, we Ðnd strong resemblances in the spectral observations. The main di†erences are to be found in the spectra obtained immediately after the introduction of syn gas. Fredriksen et al.3,4 observed, at this stage, well-deÐned bands at 2060, 1990 and 1950 cm~1. The latter two bands increased in intensity in the Ðrst ten minutes. Then, during a couple of hours the bands diminished and almost vanished into a broad, low wavenumber ““ tail ÏÏ with no clear intensity maxima. The authors interpreted the 2060 cm~1 band as due to linearly adsorbed CO, and the pair of bands at 1990 and 1950 cm~1 to bridged species, adsorbed on the more oxidized parts of the catalyst. The appearance of the bands at 1990 and 1950 cm~1 in the in-situ study may be explained on the basis of either the high CO pressure or the low metal content in the catalysts. In a study by Choi et al.9,10 a low pressure (0.35 mbar) of CO was introduced to both 5 wt.% and 12 wt.% Co/Al O samples. 2 3 The 5 wt.% catalyst showed absorption bands at 2176, 2056 and 2030 cm~1 and the 12 wt.% catalyst at 2045 and 2028 cm~1. In a study by Kazansky et al.6 bands were observed at 2160, 2060, 1990 and 1950 cm~1 when a 1.3 wt.% Co/Al O 2 3 catalyst was exposed to a CO pressure of 10 mbar. It seems therefore, that the appearance of the two bands is favored both by low metal content and by high CO pressure, which could indicate that the bands are due to CO adsorbed on defects. High CO pressures lead to a reconstruction of the Co surface and thereby to both an increase in the amount of defects and a decrease in the extensive long-range dipoleÈ dipole interactions. A more thorough discussion of these bands is presented in the following section. A short summary of our assignment of the observed absorptions due to CO adsorbed on Co is given in Table 5. Reaction pathway As discussed earlier, two reaction paths are possible on the Co/c-Al O catalyst. The one involving only the Co crys2 3 tallites is the most important. Only one type of Co site is Table 5 Assignment of the vibrational absorbances observed in the spectra of CO adsorbed on the cobalt surface in a Co/Al O catalyst 2 3 Vibrational band Assignment 2230, 2250(sh) 2180 Assigned to CO linearly adsorbed on Al3` sites on the alumina support May be due to CO linearly adsorbed on Co atoms with formal charge ] 2 or ]3, with a varying coordination of neighboring atoms. More probably caused by CO adsorbed on Co 2` Cod`ÈCO ; Co0ÈCO ; Cod~ÈCO ; Co(CO) ; CoHCO. High coverages of CO Cod`ÈCO ; Co0ÈCO ; Co(CO) ; CoHCO n n Co0CO ; Co(CO) n unoxidized sites ; Co(CO) situated on more coordinately unsaturated CoÈCO on various n sites. Low CO coverages Co0ÈCO ; Cod~È(CO) n Cod~È(CO) . Might arise from the same species as the 1990 cm~1 band n When observed after oxidation and subsequent recombination of CO : CoÈCO Cod~ÈCO and Co (CO) on defects, edges or corners Co CO, where n \m2È4 ; nCod~ÈCO (on defects, edges or corners) COn adsorbed in bridged (l2) position e.g. on Co(0001) CO adsorbed in a 3- or 4-fold hollow position (l3 or l4) e.g. on Co(0001) 2070È1990 2060 2030 1990È1900 1990 1950 1940 1920 1900È1800 1900È1880 1820È05 Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 1843 found present on the Co surface, indicating that CO hydrogenation is a structure insensitive reaction.70,71 Furthermore, the active sites are shown to be surface defects that are responsible for CO absorptions around 2055È2080 cm~1.22 According to our interpretation this band is due to Co(CO) n and CoHCO species adsorbed on defects including steps/ corners. One possible reaction path in the hydrogenation process could therefore involve these Co(CO) and CoHCO species, n with the unstable CoHCO species as an intermediate in the FischerÈTropsch process. However, this is not in agreement with the general understanding of the CO hydrogenation mechanism.65,69h71 We therefore suggest that monocarbonyl species are also found on defects, where they give rise to absorptions at lower wavenumbers and are overlapped by other bands. They may be of low intensity as a result of rapid CO dissociation (when the steric conditions permit this) or due to further CO adsorption giving rise to polycarbonyl species (when there is a lack of free space around a defect). We conclude that the main FischerÈTropsch reaction path is through the carbide species formed from the dissociation of these monocarbonyls. Conclusions The results from DRIFTS studies in combination with semiempirical calculations are promising and helpful in assigning vibrational bands arising from carbonyl species on metal surfaces. The results emphasize how various adsorbed species may contribute to absorption bands in the same spectral region, and open the way for new spectral interpretations that do not exclude the prior ones. The broadness of the infrared bands may be explained not only by the dipoleÈdipole e†ect, but also by various subcarbonyls adsorbed on surface defects and by the varying oxidation state of the metal atoms. In addition, it is possible to explain the low wavenumber absorptions by species other than the bridged ones. When we compare our DRIFTS results to those at an in-situ investigation,3,4 we Ðnd that there are strong resemblances in the observations, in spite of considerable di†erences in experimental conditions. Also, hydrocarbon formation is observed at the lower pressures, and an absorption band with a maximum in the wavenumber region 2060È2080 cm~1 is supposed to rise from the active sites in the FischerÈTropsch process.21 From this, we conclude that our observations give a better understanding also of the commercial process. Acknowledgements The authors gratefully acknowledge the Norwegian Research Council and Statoil for Ðnancial support and the Norwegian Institute of Technology for supplying catalyst samples. We thank Christian Richard for his critical review of the manuscript. Appendix Empirical method for predicting the wavenumbers characteristic of the carbonyl stretching mode of transition metal carbonyls The method for predicting carbonyl stretching frequencies in transition metal compounds is taken from ref. 42. The force constants for complexes of the type M(CO) LZ, are given n~m m by the equation : k \ k ] Z*e ] &ea (1) co n c L where k is the CÈO stretching constant, k is the force conco n stant for the isolated metal monocarbonyl fragment, M(CO), 1844 Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 e is the charge e†ect constant (\1.97 N cm~1), Z is the ionic c charge and ea are ligand e†ect constants, characteristic of the L particular ligand L and the angle nLM(CO). When M belongs to group VIB-VIIIB, k is given by the equation : n k \ 10.54 ] 0.556*n (N cm~1) where n is the number of n valence electrons within the metal. The COÈCO interaction constants k are given by the co, co equation : A k \A[B ab B k ]k a b [ Z*c C 2 (2) where k is the interaction between two carbonyls with ab stretching constants k and k , A and B are functions of the a b CMC bonding angle only and c is a charge correction conC stant (\1.20 N/cm~1). When calculating the wavenumbers the following relationships have been employed : Co(CO) F11 \ k co Co(CO) F11 \ k ] k 2 co co, co F22 \ k [ k co co, co Co(CO) F11 \ k ] 2k 3 co co, co F22 \ k [ k co co, co Further, the wavenumber, j~1, may be expressed in terms of the G and F matrices : j~1 \ factor*J(G*F) where factor \ 803.123 and G \ 0.382. Appendix B Cluster models used in the ASED-MO calculations Below is shown some cluster models used in the ASED-MO calculations. The total number of metal atoms is indicated as well as the number of atoms in each closest packed layer. f \ s or p electron exponent and f , C and C are used for 1 2 1 2 the contracted d-orbitals of Co : R (r) \ N(nd~1)(C É e~f1 Õ r ] C É e~f2 Õ r), nd 1 2 n being the d-electron principal quantum number (i.e. n \ 3 d d in the case of Co) References 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Interatomic distances used in the calculations CoÈCo 2.51 ; CoÈC 1.82 ; CÈO 1.13 ; CoÈO 2.13. 26 27 Extended Hu ckel parameters Orbital H eV f ii 1 Co 4s Co 4p Co 3d C 2s C 2p O 2s O 2p O 2s O 2p [7.80 [3.80 [9.70 [21.40 [11.40 [28.20 [12.40 [32.30 [14.80 2.000 2.000 5.550 1.710 1.625 2.575 2.275 2.575 2.275 f 2 1.90 28 C 1 C 0.5550 0.6680 2 The diagonal Hamiltonian matrix elements are given by H \ [VSIE(Q) where VSIE(Q) is the valence state ionizaii tion energy of orbital i when the atom has a total charge of Q, 29 30 31 32 33 34 35 36 37 38 G. Kadinov, Ch. Bonev and A. Palazov, J. Chem. Soc., Faraday T rans., 1998, 94, 3027. S. Todorova, V. Zhelyazkov, V. Zhelyakov and G. Kadinov, React. Kinet. Catal. L ett., 1996, 57, 105. G. R. Fredriksen, E. A. Blekkan, D. Schancke and A. Holmen, Chem. Eng. T echnol., 1995, 18, 125. G. R. Fredriksen, E. A. Blekkan, D. Schancke and A. Holmen, Ber. Bunsen-Ges. Phys. Chem., 1993, 97, 308. A. Lapidus, A. Krylova, V. Kazanskii, V. Borokov and A. Zaitsev, Appl. Catal., 1991, 73, 65. V. B. Kazanskii, A. V. Zaitsev, V. Yu. Borokov and A. L. Lapidus, Appl. Catal., 1988, 40, 17. A. V. Zaitsev, L. L. Krasnova, M. M. SavelÏev, V. Yu. Borokov, A. L. Lapidus and V. B. Kazanskii, Kinet. Catal., 1987, 28, 1194. V. L. Kuznetsov, M. N. Aleksandrov and L. N. Bulgakova, J. Molec. Catal., 1989, 55, 146. J.-G. Choi, H.-K. Rhee and S. H. Moon, Appl. Catal., 1985, 13, 269. J.-G. Choi, H.-K. Rhee and S. H. Moon, Korean J. Chem. Eng., 1984, 1, 159. J. Lahtinen, T. Anraku and G. A. Somorjai, Catal. L ett., 1994, 25, 241. A. L. Cabrera, W. H. Garrido and U. G. Volkmann, Catal. L ett., 1994, 25, 115. J. Lahtinen, T. Anraku and G. A. Somorjai, J. Catal., 1993, 142, 206. W. K. Kuhn, J.-W. He and D. W. Goodman, in ACS Symp. Ser. Surf. Sci. Catal., ed. D. J. Dwyer and F. M. Ho†mann, Washington, DC, 1992, pp. 71È84. J.-W. He, W. K. Kuhn and D. W. Goodman, J. Am. Chem. Soc., 1992, 113, 6416. J. Wojtzac, R. Queau and R. Poilblanc, J. Catal., 1975, 37, 391. R. Queau and R. Poilblanc, J. Catal., 1972, 27, 200. G. Blyholder and M. C. Allen, J. Am. Chem. Soc., 1969, June 4, 3158. F. S. Baker, A. M. Bradshaw, J. Pritchard and K. W. Sykes, Surf. Sci., 1968, 12, 426. N. N. Kavtaradze and N. P. Sokolova, Russ. J. Phys. Chem., 1964, 38, 548. G. A. Beitel, C. P. M. deGroot, H. Oosterbeek and J. H. Wilson, J. Phys. Chem., 1997, 101, 4035. G. A. Beitel, A. Laskov, H. Oosterbeek and E. W. Kuipers, J. Phys. Chem., 1996, 100, 12494. J. J. C. Geerlings, M. C. Zonnevylle and C. P. M. De Groot, Catal. L ett., 1990, 5, 309. R. L. Toomes and D. A. King, Surf. Sci., 1996, 349, 1. F. Greuter, D. Heskett, E. W. Plummer and H.-J. Freund, Phys. Rev. B, 1983, 27, 7117. K. A. Prior, E. G. Scott and R. M. Lambert, Chem. Phys. L ett., 1981, 80, 517. M. E. Bridge, C. M. Comrie and R. M. Lambert, J. Catal., 1979, 58, 28. K. A. Prior, K. Schwaha and R. M. Lambert, Surf. Sci., 1978, 77, 193. M. Maglietta and G. Rovida, Surf. Sci., 1978, 71, 495. M. E. Bridge, C. M. Comrie and R. M. Lambert, Surf. Sci., 1977, 67, 393. G. L. P. Berning, Surf. Sci., 1976, 61, 673. A. B. Anderson, in T heoretical Aspects of Heterogeneous Catalysis, ed. J. B. Mo†at, Van Nostrand, New York, 1990, pp. 431È 457. G. Calzaferri, L. Forss and I. J. Kamber, Phys. Chem., 1989, 93, 5366. G. Busca, R. Guidetti and V. J. Lorenzelli, Chem. Soc., Faraday T rans., 1990, 86, 989. R. L. Sweany and T. L. Brown, Inorg. Chem., 1997, 16, 415. R. L. Sweany and T. L. Brown, Inorg. Chem., 1997, 16, 421. S. H. Brienne, R. D. Markwell, S. M. Barnett, I. S. Butler and J. A. Finch, Appl. Spectrosc., 1993, 47, 1131. L. A. Hanlan, H. Huber, E. P. Kundig, B. R. McGarvey and G. A. Ozin, J. Am. Chem. Soc., 1975, 26, 7054. Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 1845 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 G. Busca, V. Lorenzelli, V. S. Escribano and R. Guidetti, J. Catal., 1991, 131, 167. K. W. Every and P. R. Griffiths, Appl. Spectrosc., 1991, 45, 347. I. M. Hamadeh and P. R. Griffiths, Appl. Spectrosc., 1987, 41, 682. J. A. Timney, Inorg. Chem., 1979, 18, 2502. G. Calzaferri and M. Brandle, Quantum chemistry program performing extended Huckel calculations, Quantum Chemistry Program Exchange QCPE No. QCMP 116, Indiana University, 1992. H. Ryeng, MSc Thesis, University of TromsÔ, 1996. A. A. Davydov, Infrared Spectroscopy of Adsorbed Species on the Surface of T ransition Metal Oxides, John Wiley & Sons, Chichester, 1990. R. Ryberg, Adv. Chem. Phys., 1989, 1È43. N. Sheppard and T. T. Nguyen, in Advances in Infrared and Raman Spectroscopy, ed. R. H. J. Clark and R. E. Hester, Heyden & Son, London, 1978, vol. 5, pp. 67È148. L. Guczi, New T rends in CO Activation included in series Studies in Surface Science and Catalysis, 64, Elsevier, Amsterdam, 1991. M. R. Basila, Appl. Spectrosc. Rev., 1968, 1, 289. V. Ponec, Catalysis T oday, 1992, 12, 227. J. Ansorge and H. Forster, J. Catal., 1981, 68, 182. G. Blyholder, J. Phys. Chem., 1964, 68, 2772. S.-S. Sung and R. Ho†mann, J. Am. Chem. Soc., 1985, 107, 578. Ch. Zheng, Y. Apeloig and R. Ho†mann, J. Am. Chem. Soc., 1988, 110, 749. 1846 Phys. Chem. Chem. Phys., 2000, 2, 1835È1846 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 B. N. J. Persson and R. Ryberg, Phys. Rev. B, 1981, 24, 6954. R. Ryberg, personal communication. O. Swang, SINTEF, Oslo, Norway, personal communication. J. Rathousky and A. Zukal, Appl. Catal., 1991, 79, 167. H.-Ch. Tung, Ch.-T. Yeh and Ch.-T. Hong, J. Catal., 1990, 122, 211. R. L. Chin and D. M. Hercules, J. Phys. Chem., 1982, 86, 360. H. C. Yao and M. Shelef, J. Phys. Chem., 1974, 78, 2490. S. Vada, A. Ho†, E. A dnanes, D. Schanke and A. Holmen, T opics Catal., 1995, 2, 155. A. Ho†, PhD Eng. Thesis, Norwegian Institute of Technology, 1993. K. Tamaru and T. Onishi, Appl. Spectrosc. Rev., 1975, 9, 133. W. H. Lee and C. H. Bartolomew, J. Catal., 1989, 120, 256. T. H. Ballinger and J. T. Yates, Jr., L angmuir, 1991, 7, 3041. A. L. Diaz and M. E. Bussel, J. Phys. Chem., 1993, 97, 470. R. G. Greenler, D. R. Snider, D. Witt and R. S. Sorbello, Surf. Sci., 1982, 118, 415. J. Wilson and C. de Groot, J. Phys. Chem., 1995, 99, 7860. B. G. Johnson, C. H. Bartolomew and D. W. Goodman, J. Catal., 1991, 128, 231. A.-K. Araya, N. Aas and E. Rytter, Poster, Europacat-II, Maastricht, 1995. G. J. Blyholder, J. Phys. Chem., 1975, 79, 756. Paper b000188k