Journal of Electroanalytical Chemistry Journal of Electroanalytical Chemistry 560 (2003) 135–141 www.elsevier.com/locate/jelechem Accurate determination of the CO coverage at saturation on a cyanide-modified Pt(1 1 1) electrode in cyanide-free 0.5 M H2SO4 Isabel Morales-Moreno 1, Angel Cuesta *, Claudio Gutierrez Instituto de Quımica Fısica ‘‘Rocasolano’’, C.S.I.C., C. Serrano, 119, E-28006 Madrid, Spain Received 13 May 2003; received in revised form 17 June 2003; accepted 8 July 2003 Abstract We have used the CO charge-displacement method, in combination with a thermodynamic cycle, to obtain the double-layer correction necessary to determine accurately, using the charge in the corresponding CO-stripping voltammograms, the maximum amount of CO that can adsorb on a cyanide-modified Pt(1 1 1) electrode. The resulting CO coverage at saturation is hCO ¼ 0:25, and corresponds to a mixed CN–CO adlayer where some Pt atoms are still free and consequently can adsorb hydrogen. The hydrogen adsorption charge for the mixed adlayer, obtained from the corresponding cyclic voltammogram, agrees very well with that estimated from the CO and CN coverages, assuming that one hydrogen atom adsorbs on every free Pt atom. Taking into account these data, we propose a structural model for the mixed CN–CO adlayer on Pt(1 1 1). Ó 2003 Elsevier B.V. All rights reserved. Keywords: Cyanide-modified Pt(1 1 1) electrode; Carbon monoxide; Adsorption; CO charge-displacement; CO stripping 1. Introduction Although not so intensively studied as that of carbon monoxide, the adsorption of cyanide on platinum electrodes has received some attention, partly stimulated by the fact that the CN ion and the CO molecule are isoelectronic. Hubbard and co-workers [1–3] showed by LEED that ordered cyanide adlayers, which resist electrode emersion in ultrahigh vacuum (UHV), can be formed on Pt(1 1 1) by immersion in cyanide containing solution. A similar tactic was used by Korzeniewski and co-workers [4,5] to obtain infrared spectra, in aqueous solutions, of cyanide adlayers on polycrystalline and low-index single-crystal Pt electrodes. An ordered cyanide adlayer on a Pt(1 1 1) electrode was observed in situ for the first time, using STM, by Stuhlmann p p et al. [6]. They reported the observation of a (2 3 2 3)R30° structure consisting of hexagonally * Corresponding author. Tel.: +34-91-561-9400; fax: +34-91-5642431. E-mail address: [email protected] (A. Cuesta). 1 Present address: Departamento de Quımica Fısica, Universidad de Murcia, Campus de Espinardo, E-30071 Espinardo, Murcia. 0022-0728/$ - see front matter Ó 2003 Elsevier B.V. All rights reserved. doi:10.1016/j.jelechem.2003.07.008 packed arrays, each containing six spots surrounding a slightly more intense central one. Each spot was assumed to correspond to a CN group, which would yield a coverage hCN ¼ 7=12. Similar STM images were obtained later by Kim et al. [7], but they could show quite convincingly that the central spots in the hexagonal arrays did not correspond to CN, but to a co-adsorbed cation (H3 Oþ , Naþ or Kþ , depending on the solution composition and the electrode potential). p p The cyanide coverage corresponding to the (2 3 2 3)R30° structure on Pt(1 1 1) corresponds, therefore, to hCN ¼ 0:5. Cyanide adsorption on Pt(1 1 1), Pt(1 0 0) and Pt(1 1 0) has been intensively studied by Huerta et al. [8– 11] in the last five years, using cyclic voltammetry (CV) and spectroelectrochemical techniques. They have shown that the cyanide adlayer on Pt(1 1 1) is remarkably stable [8,9], no change being observed in the CVs of the cyanide-covered electrode upon repetitive cycling between 0.06 and 1.1 V vs. RHE. Accordingly, as pointed out by Huerta et al. [8], the cyanide-covered Pt(1 1 1) electrode can be considered as a chemically modified electrode. Very recently, Huerta et al. [12] have adsorbed CO on a cyanide-modified Pt(1 1 1) electrode. They demon- 136 I. Morales-Moreno et al. / Journal of Electroanalytical Chemistry 560 (2003) 135–141 strated that CO adsorption and subsequent stripping provokes no distortion in the cyanide adlayer at all, and determined the CO saturation coverage using coulometry. We report here a more accurate determination (using the true, exact thermodynamic double-layer correction) of the CO coverage at saturation of a cyanidemodified Pt(1 1 1) electrode, and deduce some interesting structural consequences regarding the mixed CN–CO adlayer. RHE. We measured the current flowing during the potentiostatic adsorption of CO and stopped the gas flow when the current dropped to zero. Then, the solution was purged with N2 for 15 min, in order to remove traces of dissolved CO from the solution. A home-made AgjAgCljKCl(sat) electrode was used as the reference, but all potentials in the text are referred to the reversible hydrogen electrode (RHE). 3. Results 2. Experimental The working electrode was a cylindrical platinum single crystal (4 mm in diameter, 5 mm long) purchased from MaTecK (Germany), one of whose circular faces had been oriented parallel to the (1 1 1) plane (miscut < 1°) and polished with alumina (final particle size 0.03 lm). The Pt(1 1 1) electrode was annealed in a hydrogen-air flame and, following a recently described procedure [13], cooled in a CO + N2 atmosphere, protected with a droplet of ultrapure water (Milli-Q, 18 MX cm, 3 ppb TOC) saturated with the cooling gas, and transferred to the electrochemical cell containing 0.5 M H2 SO4 (Merck Suprapur). After stripping of the protective CO adlayer formed during the cooling process, the CV showed the characteristic features of a clean, well-ordered Pt(1 1 1) surface (see Fig. 1, dashed line). The electrode was then rinsed with ultrapure water and immersed in a 0.1 M KCN (Merck p.a.) solution for approximately 3 min, after which the electrode was rinsed again and transferred to the electrochemical cell containing cyanide-free 0.5 M H2 SO4 . Saturated CO adlayers were formed potentiostatically by blowing CO into the hanging meniscus while the electrode potential was held at 0.215 or 0.615 V vs. The solid line in Fig. 1 shows the CV for a cyanidemodified Pt(1 1 1) electrode in cyanide-free 0.5 M H2 SO4 (the dashed line corresponds to the clean Pt(1 1 1) surface, shown for comparison), which coincides with those reported in the literature [8–12]. As mentioned in the Introduction, it has been shown by means ofp in situ p STM [6,7] that cyanide forms a (2 3 2 3)R30° structure on Pt(1 1 1), with a coverage hCN ¼ 0:5 [7]. The feature between 0.055 and 0.6 V corresponds to hydrogen adsorption on the free platinum sites. The voltammetric charge of hydrogen adsorption (double-layer corrected) amounts to 86 lC cm2 , in very good agreement with a previous report [9], and slightly higher than that of 80 lC cm2 expected for the adsorption of atomic hydrogen on two thirds of the Pt atoms left free upon modification of the Pt(1 1 1) with cyanide. It has been suggested that the peak at approximately 0.9 V in the CV of cyanide-modified Pt(1 1 1) corresponds to a process similar to that occurring on unmodified Pt(1 1 1) in perchloric acid solutions at about 0.8 V [9], which is thought to correspond to the adsorption of oxygenated species and whose exact nature is unknown. Fig. 2 shows the current transients recorded during the potentiostatic adsorption of CO on a cyanide-mod- Fig. 1. Cyclic voltammogram, at 50 mV s1 , of a cyanide-modifed Pt(1 1 1) electrode in cyanide-free 0.5 M H2 SO4 (solid line). The cyclic voltammogram of a clean, well-ordered Pt(1 1 1) electrode (dashed line) has been included for comparison. Fig. 2. Current transients recorded during the potentiostatic adsorption of CO on a cyanide-modified Pt(1 1 1) electrode in cyanide-free 0.5 M H2 SO4 at 0.215 V (solid line) and 0.615 V (dashed line). I. Morales-Moreno et al. / Journal of Electroanalytical Chemistry 560 (2003) 135–141 ified Pt(1 1 1) electrode in cyanide-free 0.5 M H2 SO4 at 0.215 V (solid line) and 0.615 V (dashed line), in a CO charge-displacement experiment as developed by Feliu and co-workers [14–16]. The charges displaced when CO is adsorbed at 0.215 and 0.615 V are 17 and )4 lC cm2 , respectively. Fig. 3 shows the first (solid line) and second (dashed line) CVs, starting at 0.615 V in the negative direction, after CO adsorption on a cyanide-modified Pt(1 1 1) electrode (the shape of the CV does not depend on the potential at which CO was adsorbed). The first cycle (solid line) corresponds to a cyanide-modified Pt(1 1 1) electrode covered by a saturated CO adlayer, and the second one (dashed line) to the same surface after COstripping, and is identical to the CV recorded before CO adsorption (see solid line in Fig. 1). The mixed CN–CO adlayer on Pt(1 1 1) is stable if the upper potential limit is kept below 0.7 V. As reported previously [12] adsorption of CO does not block the adsorption of hydrogen on a CO-saturated, cyanide-modified Pt(1 1 1) electrode completely. A surface process (anodic peak at 0.31 V; cathodic peak at 0.21 V) superimposed to a current plateau can be observed in the hydrogen region between 0.055 and 0.6 V. The hydrogen charge, without double-layer correction, amounts to 80 lC cm2 , in very good agreement with that reported previously [12]. This value reduces to 58 lC cm2 after double-layer correction, which is very near the value of 60 lC cm2 expected for adsorption of 0.25 ML of hydrogen on Pt(1 1 1). If the positive potential limit of the scan is increased to 1.1 V, CO stripping occurs in a peak at 0.99 V (Fig. 3, solid line). Although, as reported by Huerta et al. [12] and indicated above, the second cyclic voltammogram overlaps perfectly that recorded before CO adsorption, indicating that the initial state of the surface has been 137 completely restored, a (slight) distortion of the cyanide adlayer is evident from the comparison of the two cyclic voltammograms in Fig. 3: the CV of the initially COcovered electrode overlaps that of the CO-free surface only when a potential of 0.78 V is reached in the negative scan after CO stripping. This is especially evident if the cathodic peak at approximately 0.9 V, just after stripping of the CO adlayer (Fig. 3, solid line), is compared with the same peak in the second cycle (Fig. 3, dashed line). The same difference can be observed after a careful comparison between Figs. 3a and b in [12], although no comment on this was made there. We do not know what the nature of the distortion in the cyanide adlayer produced by CO adsorption might be, but desorption of some CN ions can be discarded, since both the shape of the CV and the charges associated with the different processes match exactly those measured before CO adsorption. In any case, as we will show below (see Section 4.2), the charge associated with the reorganisation process taking place after CO adsorption must be taken into account if the coverage by CO is to be determined accurately. 4. Discussion 4.1. Consistency of the experimental data As shown by Climent et al. [17], the data from CO charge-displacement experiments can be used to check the consistency of the experimental results and to test the cleanliness of the system. This is illustrated in the thermodynamic cycle in Scheme 1, from which it is clear that: Qmð12Þ Q0mð12Þ ¼ Q1 Q2 : ð1Þ As we have discussed recently, in the case of a clean Pt(1 1 1) surface Q0mð12Þ is much smaller than Qmð12Þ and, hence, Eq. (1) can be simplified to Qmð12Þ ¼ Q1 Q2 : ð2Þ Table 1 shows experimental data for Q1 , Q2 , Qmð12Þ and Q0mð12Þ , for E1 ¼ 0:215 V and E2 ¼ 0:615 V. As can be seen in Table 1, for the case of a cyanide-modified Pt(1 1 1) electrode the difference between Qmð12Þ and Q0mð12Þ is small, and so the unsimplified Eq. (1) must be used. The values for Qmð12Þ Q0mð12Þ and Q1 Q2 are also given in Table 1, demonstrating that the experimental data obey Eq. (1) within approximately 1%. 4.2. Determination of the CO coverage at saturation Fig. 3. First (solid line) and second (dashed line) cyclic voltammogram at 50 mV s1 of a cyanide-modified Pt(1 1 1) electrode initially covered with a saturated CO adlayer in cyanide-free 0.5 M H2 SO4 . As demonstrated by the Alicante group [17,18], in order to calculate accurately the coverage by CO of platinum and other noble metals electrodes using voltammetry, it is necessary to include the charge displaced during the potentiostatic adsorption of CO in the dou- 138 I. Morales-Moreno et al. / Journal of Electroanalytical Chemistry 560 (2003) 135–141 Scheme 1. Thermodynamic cycle from which Eq. (1), used to check the consistency of the experimental results, can be deduced. r1 , surface charge density on the cyanide-modified Pt(1 1 1) electrode at E1 ; r01 , surface charge density on the CO-covered cyanide-modified Pt(1 1 1) electrode at E1 ; r2 , surface charge density on the cyanide-modified Pt(1 1 1) electrode at E2 ; r02 , surface charge density on the CO-covered cyanide-modified Pt(1 1 1) electrode at E2 ; Q1 , charge density displaced at E1 during the potentiostatic adsorption of CO; Q2 , charge density displaced at E2 during the potentiostatic absorption of CO; Qmð12Þ , charge density obtained by intergration of the voltammogram of cyanide-modified Pt(1 1 1) between E1 and E2 ; Q0mð12Þ , charge density obtained by intergration of the voltammogram of CO-covered cyanide-modified Pt(1 1 1) between E1 and E2 . Table 1 Experimentally measured charges displaced during the potentiostatic adsorption of CO at E1 and E2 on a cyanide-modified Pt(1 1 1) electrode, and charges obtained by integration of the cyclic voltammograms of CO-free and CO-covered cyanide-modified Pt(1 1 1) between E1 and E2 Q1 (lC cm2 ) Q2 (lC cm2 ) (E1 ¼ 0:215 V) (E2 ¼ 0:615 V) 17 )4 Qmð12Þ (lC cm2 ) Q0mð12Þ (lC cm2 ) Q1 Q2 (lC cm2 ) Qmð12Þ Q0mð12Þ (lC cm2 ) 89 66 22 23 Q1 , charge density displaced at E1 during the potentiostatic adsorption of CO on a cyanide-modified Pt(1 1 1) electrode; Q2 , charge density displaced at E2 during the potentiostatic adsorption of CO on a cyanide-modified Pt(1 1 1) electrode; Qmð12Þ , charge density obtained by integration of the voltammogram of a cyanide-modified Pt(1 1 1) electrode between E1 and E2 ; Qmð12Þ , charge density obtained by integration of the voltammogram of a CO-covered, cyanide-modified Pt(1 1 1) electrode between E1 and E2 . ble-layer correction. We have recently shown [19] that the true double-layer correction can be deduced from a simple thermodynamic cycle. The cycle necessary to calculate the coverage by CO of a cyanide-modified Pt(1 1 1) electrode from the charge under the peak in the corresponding CO-stripping voltammogram is shown in Scheme 2, from which it follows that: QCO net oxidation stripping ¼ QCO DQ total adsorption 1 1Þ–CN QCO DQ ¼ QPtð1 ox initial ð3Þ where DQ is the double-layer correction. We would like adsorption to stress here that QCO will be different from zero initial even in the absence of specific adsorption, since it arises Scheme 2. Cycle from which the true, exact thermodynamic double-layer correction, necessary for the determination of CO coverages, can be deduced. rinitial , surface charge density on the cyanide-modified Pt(1 1 1) electrode at Einitial ; r0initial , surface charge density on the CO-covered cyanideadsorption , charge density modified Pt(1 1 1) electrode at Einitial ; rfinal , surface charge density on the cyanide-modified Pt(1 1 1) electrode at Efinal ; QCO initial Ptð1 1 1Þ–CN displaced at Einitial by the potentiostatic absorption of CO; Qox , charge density obtained by integration of the voltammogram of CO-free, stripping cyanide-modified Pt(1 1 1) between Einitial and Efinal ; QCO , charge density obtained by integration of the CO-stripping voltammogram between total oxidation Einitial and Efinal ; QCO , charge density corresponding exclusively to the faradaic oxidation of the CO adlayer; DQ, double-layer correction. net I. Morales-Moreno et al. / Journal of Electroanalytical Chemistry 560 (2003) 135–141 from the difference in the surface charge density, at a given potential, before and after CO adsorption, provoked by the change in the point of zero charge (pzc) and in the double-layer capacity consequent upon CO adsorption. Due to the thermodynamic nature of the double-layer correction, care must be exercised when choosing Efinal , since the state of the surface at this potential after CO stripping must be the same as before CO adsorption. As mentioned above, it can be concluded from the COstripping CV that the state of the surface at Eþ (the positive limit of the potential scan) just after CO stripping is not the same as the state at Eþ of the surface before CO adsorption and, hence, choosing Eþ as Efinal would introduce an error in the CO coverage. This can be avoided by choosing as Efinal a potential in the negative scan at which the current just after CO stripping exactly follows that of the CO-free surface, and taking Ptð1 1 1Þ–CN stripping QCO and Qox as the charge integrated, in total the corresponding CVs, between Einitial and Eþ in the positive scan plus the charge integrated between Eþ and Efinal in the negative scan. Ptð1 1 1Þ–CN stripping Experimental values for QCO and Qox , total using Efinal ¼ 0:715 V in the negative scan, obtained from CO-stripping CVs of CO-saturated, cyanide-modified Pt(1 1 1) electrodes and from CVs of CO-free, cyanidemodified Pt(1 1 1) electrodes, respectively, are given in Table 2 for two initial potentials (Einitial ¼ 0:215 V and Einitial ¼ 0:615 V), together with the experimental values adsorption oxidation for QCO and the resulting values for QCO net initial and hCO . The CO coverage at saturation is hCO ¼ 0:25, and therefore 25% of the surface Pt atoms of the COsaturated, cyanide-modified Pt(1 1 1) electrode remain uncovered, in very good agreement with the charge (double-layer corrected) of 58 lC cm2 measured for hydrogen adsorption-desorption on a CO-saturated, cyanide-modified Pt(1 1 1) electrode (see above). Regarding the distortion of the cyanide adlayer upon CO adsorption, we believe that it must correspond to a compression of the cyanide adlayer without modification of its geometrical arrangement, relaxation of the adlayer back to its initial state occurring upon CO stripping and desorption of the surface oxygenated species in the subsequent negative scan. 139 p p Fig. 4 shows a ball model of the (2 3 2 3)R30° structure of the cyanide adlayer on Pt(1 1 1) and of the only two possible structures for the mixed CO–CN adlayer with hCO ¼ 0:25. In the model structure in Fig. 4(B), the centre of the hexagon formed by the CN groups is left free, and the sites between hexagons surrounded by four CN groups are occupied by a CO molecule, while in the model structure in Fig. 4(C) the centre of the hexagons and the sites between hexagons surrounded by three CN groups are occupied by a CO molecule. Several arguments favour the structure in Fig. 4(B) over that in Fig. 4(C): 1. Steric factors make adsorption of a CO molecule in the centre of the hexagons formed by the CN groups unlikely. 2. The compression of the cyanide adlayer suggested by the CO-stripping CV can be easily explained by the model in Fig. 4(B), where the formation of a hexagon of CO molecules surrounding the hexagon of CN groups would cause a compression of the latter. On the other hand, the presence of a CO molecule in the centre of the CN hexagons, as in the model in Fig. 4(C), would make this compression difficult, if not impossible. 3. The CO molecule in the centre of the CN hexagons, as in the model in Fig. 4(C), would be especially difficult to oxidise, since oxygenated species cannot nucleate on their nearest neighbour sites, which are blocked by CN. However, there is no indication in the CO-stripping voltammogram of a hindered oxidation of some CO molecules. 4. In the hydrogen adsorption–desorption region, the CV of a cyanide-modified Pt(1 1 1) electrode covered by a saturated CO adlayer consists of two contributions: (i) a nernstian process giving rise to a current a plateau, and (ii) a non-nernstian process giving rise to a pair of peaks at 0.31 V (anodic) and 0.21 V (cathodic). We believe that the non-nernstian process corresponds to the sterically hindered adsorption of hydrogen on the centre of the compressed CN hexagons, although the charge under these peaks (14 lC cm2 ) is considerably smaller than that of the 20 lC cm2 expected for adsorption of one hydrogen atom on every central platinum atom. Table 2 Calculated net faradaic charges for oxidation of a saturated CO adlayer on a cyanide-modified Pt(1 1 1) electrode, and experimentally measured Ptð1 1 1Þ–CN stripping adsorption oxidation charges from which they have been obtained: QCO ¼ QCO Qox þ QCO net total initial Einitial ðVÞ vs. RHE adsorption QCO initial (lC cm2 ) stripping QCO total (lC cm2 ) 1 1Þ–CN QPtð1 ox (lC cm2 ) oxidation QCO net (lC cm2 ) hCO 0.215 0.615 17 )4 233 160 130 38 120 118 0.25 0.246 adsorption , charge density displaced at Einitial by the The upper limit of integration, Efinal , was chosen to be 0.715 V in the negative scan (see text). QCO initial Ptð1 1 1Þ–CN stripping potentiostatic adsorption of CO; QCO , charge under the CO-stripping peak, integrated between Einitial and Efinal ; Qox , charge density total CO oxidation obtained by integration of the voltammogram of CO-free, cyanide-modified Pt(1 1 1) between Einitial and Efinal ; Qnet , calculated net faradaic charge corresponding exclusively to the oxidation of the CO adlayer. 140 I. Morales-Moreno et al. / Journal of Electroanalytical Chemistry 560 (2003) 135–141 p p Fig. 4. Ball model of the (2 3 2 3)R30° structure of the cyanide adlayer on Pt(1 1 1) (A) and of the only two possible structures for the mixed CO–CN adlayer with hCO ¼ 0:25. Future work using in situ STM and IRRAS is necessary in order to confirm the compression of the cyanide adlayer and the formation of the structure in Fig. 4(B) upon CO adsorption on a cyanide-modified Pt(1 1 1) electrode. 4.3. Use of the CO charge-displacement method to obtain surface charge density–potential curves and potentials of zero total charge (pztc) Surface charge density–potential curves can be obtained from the CVs and the CO charge-displacement measurements by the procedure developed by the Alicante group [17, and references therein], in which the charge displaced at a given potential by CO adsorption is subtracted from the voltammetric charge obtained by integrating the current–potential curve: Z E j jj r¼ dE QðE Þ; ð4Þ m E where r is the surface charge density at potential E, j is the voltammetric current density, m is the scan rate, and QðE Þ is the charge displaced during CO adsorption at potential E . This procedure assumes that the charge displaced at a given potential by the potentiostatic adsorption of CO corresponds to the total charge on the CO-free electrode surface at that potential. However, as already pointed out by Weaver [20], and as recently discussed by us using a thermodynamic cycle [19], the charge density displaced by CO adsorption corresponds actually to the difference between the charge densities of the CO-free and the CO-covered surfaces at the potential at which CO is adsorbed. Accordingly, the error incurred when calculating surface charge densities on clean Pt electrodes with this procedure will be small and similar to the experimental error in the hydrogen and oxide regions, where the charge densities of the CO-free Pt surface are of the order of hundreds of lC cm2 . On the contrary, the error can be appreciable in the so-called ‘‘double-layer region’’, where surface charge densities are much smaller. In any case, and as also demonstrated by Weaver [20], the error incurred when estimating the potential of zero total charge (pztc) of clean Pt electrodes using this procedure is small, about 25 mV, due to the fact that the pztc for Pt is located within the potential region where hydrogen adsorption occurs. The large adsorption capacitance values associated with this process cause that even a significant error in the charge density of the CO-free Pt surface leads to only a small uncertainty in the pztc. The arguments above can be used to demonstrate that the CO charge-displacement method cannot be used to determine the surface charge density–potential curve and the pztc on a cyanide-modified Pt(1 1 1) electrode. The data presented here allow us to assume that at 0.1 V both the CO-free and the CO-covered cyanide-modified Pt(1 1 1) electrodes are covered by a saturated hydrogen adlayer, this corresponding to approximately 1/3 ML in the case of a CO-free, cyanide-modified Pt(1 1 1) electrode, and to 0.25 ML in the case of a CO-covered, cyanide-modified Pt(1 1 1) electrode. It is reasonable to expect that the pztc >0.1 V in both cases and, hence, the charge density, at 0.1 V, on the CO-free, cyanide-modified Pt(1 1 1) electrode must be r1 < 80 lC cm2 , and that on the CO-covered cyanide-modified Pt(1 1 1) electrode r01 < 60 lC cm2 . Obviously, the condition that r1 r01 is not fulfilled in this case: a CO charge-displacement experiment at 0.1 V would yield a charge of approximately 20 lC cm2 , and if this were assumed to correspond to the surface charge density on the cyanidemodified Pt(1 1 1) electrode at 0.1 V, the error incurred would be of 75%! This demonstrates that care must be exercised when using the CO charge-displacement method to obtain surface charge density–potential curves and pztcs, since the method is applicable only if certain conditions are fulfilled. 5. Conclusions We have shown that thermodynamic cycles, in combination with the CO charge-displacement method, are necessary in order to determine the CO coverage using I. Morales-Moreno et al. / Journal of Electroanalytical Chemistry 560 (2003) 135–141 CO-stripping voltammograms. Furthermore, thermodynamic cycles allow us to visualise the basis of the CO charge-displacement method, and therefore its limitations when used to determine surface charge densities and the pztc, providing an unsimplified, general equation for testing the consistency of the experimental results. The coverage by CO of a cyanide-modified Pt(1 1 1) electrode can be accurately determined with the true, exact thermodynamic double-layer correction, which includes the charge displaced upon potentiostatic adsorption of CO. At saturation, hCO ¼ 0:25. We have also proposed a model for the structure of the mixed CN–CO adlayer on Pt(1 1 1). Acknowledgements This work was carried out with the help of the Spanish DGI under Project BQU2001-0207. I.M.-M. gratefully acknowledges a fellowship from the CSIC. References [1] J.L. Stickney, S.D. Rosasco, G.N. Salaita, A.T. Hubbard, Langmuir 1 (1985) 66. [2] S.D. Rosasco, J.L. Stickney, G.N. Salaita, D.G. Frank, J.Y. Katekaru, B.C. Schardt, M.P. Soriaga, D.A. Stern, A.T. Hubbard, J. Electroanal. Chem. 188 (1985) 95. 141 [3] D.G. Frank, J.Y. Katekaru, S.D. Rosasco, G.N. Salaita, B.C. Schardt, M.P. Soriaga, D.A. Stern, J.L. Stickney, A.T. Hubbard, Langmuir 1 (1985) 587. [4] V.B. Paulissen, C. Korzeniewski, J. Phys. Chem. 96 (1992) 4563. [5] C.S. 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