Electrochemical surface area

In electrochemistry, the electrochemical surface area (ECSA) is the portion of a catalyst’s surface that actively partakes in redox reactions.The surface area of a catalyst exposed to the electrolyte, known as the geometric surface area, does not fully correspond to the area involved in electrochemical reactions while the ECSA accounts for the truly active catalyst surface and offers a metric for comparing electrocatalytic materials.[1][2] In particular, it allows the computation of the efficacy of the electrocatalyst and it is used for the optimization process of the performance and lifetime of catalyst layers[3] in applications such as fuel cells, water electrolysis, and metal-air batteries.[2][4]

Theoretical principles

The electrochemical surface area (ECSA) is a parameter used for catalyst characterization, comparison and benchmarking.[3] The electrochemical surface area is computed as:[5][6]

where:[2]

  • is the total charge transferred during the adsorption/desorption process of a probe species on the catalyst.
  • is the specific charge density which is the charge required to cover one unit of active surface with the adsorbed species and it is used as a reference value.

This is the standard method adopted in PEM fuel cell field since the adsorption/desorption of hydrogen and CO on Pt nanoparticles is well known.[7] However, the adsorption/desorption processes are not clear in all electrochemical applications, as in the case for non-Pt catalysts, alkaline electrolytes or supercapacitors.[2] In those cases, ECSA estimation is based on the double-layer capacitance according to the following equation:[5][8]

where:[2][9]

  • is the double-layer capacitance.
  • is the specific capacitance which is the capacitance of an ideal flat surface of the catalyst.[5][8]

ECSA is expressed in square centimeters but it can be normalized to the geometric surface area (the ratio between ECSA and geometrical surface area is referred to as "roughness factor")[9][10] or to the catalyst loading (square centimeters per milligram of catalyst).[8]

The knowledge of the ECSA is necessary for the computation of parameters used for evaluating the performance of a catalyst such as specific activity and mass activity.[11] The specific activity is defined as the ratio between the total current and the electrochemical surface area, and it is an indicator for the intrinsic activity of the catalyst.[12][13] The higher the value, the more efficient is the catalyst at promoting the electrochemical reaction.[14] The mass activity is instead defined as the current generated per unit mass of the catalyst active material[11][12] and it is used for evaluating the utilization efficiency of the catalyst.[13] Furthermore, the mass activity allows the comparison between the different catalytic materials regardless of their amount and it is a reference parameter for the design of electrodes.[2][11] Finally, the specific and mass activities are related by the following equation:

Measurement techniques

There are multiple methodologies for evaluating the electrochemical surface area (ECSA). The choice of the method for ECSA quantification depends on the catalyst material, the operating environment and the nature of the electrochemical reaction.[1][9] All the methods can be categorized into:[2]

  • Faradaic methods which involve redox processes and are based on measurements of charge carrier transfer.
  • Non-faradaic or capacitive methods which are based on the measurement of the electrochemical double-layer capacitance under conditions with no faradaic current contributions.

Both methods require performing a cyclic voltammetry (CV) which is the standard diagnostic technique to measure the ECSA. [5][11] A CV is performed by scanning cyclically the electrode potential within a defined range, which is selected depending on the electrochemical characteristics of the catalyst under study in order to avoid any electrolyte decomposition and electrode degradation, and to ensure a reliable estimation of the ECSA, and by measuring the electrochemical current response of the electrode.[15] In contrast, for batteries and supercapacitors, faradaic and capacitive methods require performing an electrochemical impedance spectroscopy (EIS) which is a standard diagnostic technique for electrochemical device characterization.

Hydrogen adsorption/desorption

This method relies on the measurement of the charge associated with hydrogen adsorption (Hads) and desorption (Hdes) on the catalyst surface measured during a cyclic voltammetry (CV). In particular, it considers the charge transferred during the hydrogen desorption corrected for the double-layer charging. Mathematically, this is the integral of the hydrogen desorption peak in the voltammetry response minus the double-layer charging contribution.[1][2][9] In the figure is shown a CV curve for a generic Pt-based electrode of a hydrogen PEM fuel cell with the area evidenced in gray corresponding to the charge transferred.

The assumptions behind this method are:[1][9]

  • Hydrogen forms a monolayer on the catalyst surface, with one hydrogen atom adsorbed per active site.
  • The charge transferred in an adsorption/desorption of each hydrogen atom corresponds to one electron.
  • All catalytic surface sites are considered equally accessible to hydrogen adsorption and equally electrochemically active.
  • No alteration of the surface upon adsorption takes place.

For flat, smooth (with no high porosity or roughness[2]) platinum surfaces with no impurities/contaminants under controlled conditions, this method provides an accurate (maximum relative error of 10%)[9] ECSA value. In the case of alloy catalysts, highly porous electrodes, or in the presence of contaminants and irreversible processes, the relative error is higher than 10% yielding to unreliable charge transfer quantification.[16][17] This method is not applicable to non-Pt catalysts or to systems operating in alkaline electrolytes.[4]

Surface oxide reduction

This method is based on the measurement of the charge associated with the electrochemical reduction of metal oxide species formed on the catalyst surface during a cyclic voltammetry (CV) scan. The charge transferred is computed by integrating the oxide reduction peak after subtracting the non-faradaic contribution (as in the case of hydrogen adsorption/desorption method).[6][9] This contribution is the area colored in red in the previous figure.

The assumptions behind this method are very similar to the ones made for hydrogen adsorption/desorption method:[1][18]

  • Oxygen is adsorbed in a monoatomic layer with a one-to-one correspondence with surface metal atoms.
  • The number of electrons transferred per oxide atom during reduction is known
  • All sites involved in oxide formation and reduction are electrochemically active and accessible.
  • No alteration of the surface upon adsorption takes place.

Despite this method being "generally regarded as less reliable than the one based on hydrogen adsorption",[9] it is used for electrodes where hydrogen adsorption is hindered as Pd and Au electrodes.[16][19][6]

CO stripping voltammetry

Carbon monoxide (CO) has a very high affinity with many metals and tends to be adsorbed on noble metal catalyst surface in the potential window in which electrochemical devices operate.[20] This method exploit the oxidation of adsorbed CO on metal catalyst surface and consists of two steps.[10][21] First, the catalyst is exposed to CO contamination in order to form a monolayer of carbon monoxide on the electrode. Afterwards, a CV scan is performed in an inert atmosphere to oxidize the adsorbed CO, process that takes name of CO stripping.[22] The latter results in an oxidation peak in the CV curve as shown in the figure. The CO stripping charge is quantified as the difference between the total anodic charge in the potential range of CO stripping and the charge transferred in the same potential range in the absence of adsorbed CO. By looking at the figure, the first value is the integral of the red curve, while the second value is the integral of the grey curve.[23]

CO stripping voltammetry makes the same assumptions as the previous methods applied to carbon monoxide.[9] The main concern about this method is the possibility of electrode surface and catalytic properties alteration due to CO adsorption which could result in an overestimation or underestimation of the ECSA.[24] CO stripping is adopted for alloy catalysts (e.g. Pt–Co, Pt–Ni), applications where hydrogen adsorption/desorption method yields inaccurate (relative error higher than 10% as stated in the hydrogen adsorption/desorption method) ECSA quantification.[25]

Double-layer capacitance

This method estimates the electrochemical surface area by measuring the double-layer capacitance of the catalyst in an electrode potential range where the faradaic contribution is null or negligible.[2] The procedure consists of performing cyclic voltammetry scans at different scan rates within a range of electrode potentials where the current response is purely capacitive. Then, a plot of the capacitive currents versus scan rate is made and the slope of the resulting curve, which in a purely capacitive response is linear, corresponds to the double-layer differential capacity according to:[8][26][27]

where:

  • is the measured current, in Ampere.
  • is the accumulated charge, in Coulomb.
  • is time, in seconds.
  • is the electrode potential, in Volts.
  • is the double-layer capacitance, in Farad.
  • is the scan rate in Volts per second.

Finally, the ECSA is obtained by dividing for the reference value of capacity per the unit area ().[5][9]

The assumptions behind this method are:[1][2][9]

  • The current response in the selected potential window is purely capacitive meaning that no faradaic reactions occur.
  • The surface behaves like an ideal capacitor and the is linearly proportional to the electrochemically active surface area.
  • The reference specific capacitance () is constant and accurately known.
  • The electrode surface is uniformly accessible to the electrolyte.

is sensitive to the electrode potential, surface structure, electrolyte composition and concentration and experimental conditions.[28] As a result, significant discrepancies in values are reported in the literature, which may lead to errors of up to 100%[9] making this method not reliable for accurate ECSA quantification. Despite these limitations, the double-layer capacitance method is still adopted in the case of catalyst materials for which a change surface state could occur upon oxide formation/reduction and metal dissolution/redeposition.[8][29][30]

Underpotential deposition (UPD)

This method is based on the electrochemical adsorption of a metallic monolayer onto the surface of a more noble metal substrate at a potential more positive than the Nernst equilibrium potential for bulk metal deposition. This process is called underpotential deposition (UPD), and takes place when the affinity of the adsorbing metal to itself in its metallic phase is lower than the affinity of the adsorbing metal onto the metal substrate.[31][32][33]

In practice, the UPD method consists of depositing a sub-monolayer or monolayer of a foreign metal (typically Cu, Pb, or Bi) onto the electrode surface and then measuring the charge associated with the stripping (oxidation) of the deposited species.[31] The ECSA is calculated by integrating the UPD stripping peak and using a known reference charge corresponding to a full monolayer coverage.[32]

The assumptions behind this method are:[9][20]

  • The UPD process forms a well-defined monolayer with a known surface coverage and stoichiometry.
  • The interaction between the UPD species and the surface is uniform and does not lead to alloying or surface reconstruction.

The main challenges in calculating the charge associated with the deposited metal are related to the accuracy in correcting for double-layer capacitance and the hydrogen or oxygen adsorption, and in identifying the potential at which the monolayer of metal adatoms is fully formed.[20]

The UPD method is adopted for electrodes where neither hydrogen adsorption nor oxide formation yields to an ECSA estimation with a maximum relative error of 10%, such as non-platinum group metals or alloy systems with modified surface chemistries.[22]

Impedance-based methods

This method differs from the double-layer capacitance one in the way the is quantified. Instead of performing a cyclic voltammetry, here the double-layer capacitance is measured through the electrochemical impedance spectroscopy (EIS) which is a standard procedure for electrochemical characterization.[5][9] The measured impedance data is fitted to an equivalent electrical circuit model that includes a double-layer capacitance element, a charge transfer resistance and other components such as Warburg impedancefor diffusion effects, depending on the kind of model adopted.[34][35]

The assumptions behind impedance-based methods include:[2][9]

  • The equivalent circuit correctly represents the physical and electrochemical behavior of the system.
  • The measured capacitance arises solely from the electrochemical double layer and not from pseudocapacitive or faradaic contributions.
  • The surface roughness, porosity and frequency dispersion are accounted in the model adopted.

This method is an alternative for systems where CV lead to unreliable results.[28] However, its accuracy depends on the validity of the equivalent circuit model used and the quality (presence of scattering and disturbances during EIS measurements) of the impedance data over a wide frequency range.[34] Despite these limitations, impedance-based ECSA evaluation is used in the fields of supercapacitors and batteries.[2]

See also

References

  1. ^ a b c d e f Trasatti, S.; Petrii, O. A. (1992-06-10). "Real surface area measurements in electrochemistry". Journal of Electroanalytical Chemistry. An International Journal Devoted to all Aspects of Electrode Kinetics, Interfacial Structure, Properties of Electrolytes, Colloid and Biological Electrochemistry. 327 (1): 353–376. doi:10.1016/0022-0728(92)80162-W. ISSN 1572-6657.
  2. ^ a b c d e f g h i j k l m Johnson, Andi (May 2025). "Electrochemical Surface Area ECSA) Evaluation in Electrocatalysis: Principles, Measurement Techniques, and Future Perspectives". Journal of Engineering in Industrial Research. 6 (3). doi:10.48309/jeires.2025.513554.1182.
  3. ^ a b Jarzabek, Graz̊yna; Borkowska, Zofia (1997-01-01). "On the real surface area of smooth solid electrodes". Electrochimica Acta. Interfacial electrochemistry structure, electrical properties electrochemical reactivity. 42 (19): 2915–2918. doi:10.1016/S0013-4686(97)00112-6. ISSN 0013-4686.
  4. ^ a b "Electrocatalytic properties of La1-xCuxCoO3 (0 ≤ x ≤ 0.8) film electrodes for oxygen evolution in alkaline medium: Part II. A comparative study". Indian Journal of Chemistry -Section A. 58 (12). 2020-10-12. doi:10.56042/ijca.v58i12.24517. ISSN 0376-4710.
  5. ^ a b c d e f Connor, Paula; Schuch, Jona; Kaiser, Bernhard (2020-01-13). "The Determination of Electrochemical Active Surface Area and Specific Capacity Revisited for the System MnOx as an Oxygen Evolution Catalyst". Zeitschrift für Physikalische Chemie. 234 (5): 979–994. doi:10.1515/zpch-2019-1514. Retrieved 2025-07-08.
  6. ^ a b c Cignoni, Paolo; Hosseini, Pouya; Kaiser, Christoph; Trost, Oliver; Nettler, Dean-Robin; Trzebiatowski, Lisa; Tschulik, Kristina (2023-11-01). "Validating Electrochemical Active Surface Area Determination of Nanostructured Electrodes: Surface Oxide Reduction on AuPd Nanoparticles". Journal of the Electrochemical Society. 170 (11): 116505. Bibcode:2023JElS..170k6505C. doi:10.1149/1945-7111/ad09f8. ISSN 0013-4651.
  7. ^ Moniri, Saman; Van Cleve, Timothy; Linic, Suljo (November 2016). "Pitfalls and best practices in measurements of the electrochemical surface area of platinum-based nanostructured electro-catalysts". Journal of Catalysis. 345: 1–10. doi:10.1016/j.jcat.2016.11.018.
  8. ^ a b c d e Connor, Paula; Schuch, Jona; Kaiser, Bernhard; Jaegermann, Wolfram (2020-05-26). "The Determination of Electrochemical Active Surface Area and Specific Capacity Revisited for the System MnO x as an Oxygen Evolution Catalyst". Zeitschrift für Physikalische Chemie. 234 (5): 979–994. doi:10.1515/zpch-2019-1514. ISSN 2196-7156.
  9. ^ a b c d e f g h i j k l m n o Łukaszewski, M.; Soszko, M.; Czerwiński, A. (June 2016). "Electrochemical Methods of Real Surface Area Determination of Noble Metal Electrodes – an Overview". International Journal of Electrochemical Science. 11 (6): 4442–4469. doi:10.20964/2016.06.71.
  10. ^ a b Della Bella, Roberta K. F.; Stühmeier, Björn M.; Gasteiger, Hubert A. (2022-04-01). "Universal Correlation between Cathode Roughness Factor and H 2 /Air Performance Losses in Voltage Cycling-Based Accelerated Stress Tests". Journal of the Electrochemical Society. 169 (4): 044528. doi:10.1149/1945-7111/ac67b8. ISSN 0013-4651.
  11. ^ a b c d Cruz-Martínez, H.; Rojas-Chávez, H.; Matadamas-Ortiz, P. T.; Ortiz-Herrera, J. C.; López-Chávez, E.; Solorza-Feria, O.; Medina, D. I. (2021-07-01). "Current progress of Pt-based ORR electrocatalysts for PEMFCs: An integrated view combining theory and experiment". Materials Today Physics. 19 100406. Bibcode:2021MTPhy..1900406C. doi:10.1016/j.mtphys.2021.100406. ISSN 2542-5293.
  12. ^ a b Gasteiger, Hubert A.; Kocha, Shyam S.; Sompalli, Bhaskar; Wagner, Frederick T. (March 2005). "Activity benchmarks and requirements for Pt, Pt-alloy, and non-Pt oxygen reduction catalysts for PEMFCs". Applied Catalysis B: Environmental. 56 (1–2): 9–35. Bibcode:2005AppCB..56....9G. doi:10.1016/j.apcatb.2004.06.021.
  13. ^ a b Garsany, Yannick; Baturina, Olga A.; Swider-Lyons, Karen E.; Kocha, Shyam S. (2010-08-01). "Experimental Methods for Quantifying the Activity of Platinum Electrocatalysts for the Oxygen Reduction Reaction". Analytical Chemistry. 82 (15): 6321–6328. doi:10.1021/ac100306c. ISSN 0003-2700. PMID 20590161.
  14. ^ Wei, Chao; Sun, Shengnan; Mandler, Daniel; Wang, Xun; Qiao, Shi Zhang; Xu, Zhichuan J. (2019). "Approaches for measuring the surface areas of metal oxide electrocatalysts for determining their intrinsic electrocatalytic activity". Chemical Society Reviews. 48 (9): 2518–2534. doi:10.1039/c8cs00848e. ISSN 0306-0012.
  15. ^ Elgrishi, Noémie; Rountree, Kelley J.; McCarthy, Brian D.; Rountree, Eric S.; Eisenhart, Thomas T.; Dempsey, Jillian L. (2018-02-13). "A Practical Beginner's Guide to Cyclic Voltammetry". Journal of Chemical Education. 95 (2): 197–206. Bibcode:2018JChEd..95..197E. doi:10.1021/acs.jchemed.7b00361. ISSN 0021-9584. OSTI 1408158.
  16. ^ a b Łukaszewski, M.; Grdeń, M.; Czerwiński, A. (2004-11-15). "Hydrogen electrosorption in Pd–Pt–Rh alloys". Journal of Electroanalytical Chemistry. 573 (1): 87–98. doi:10.1016/s0022-0728(04)00342-0. ISSN 0022-0728.
  17. ^ Łukaszewski, M.; Grdeń, M.; Czerwiński, A. (2005-01-01). "Cyclic voltammetric behavior of Pd–Pt–Rh ternary alloys". Journal of Solid State Electrochemistry. 9 (1): 1–9. doi:10.1007/s10008-004-0528-7. ISSN 1433-0768.
  18. ^ Woods, R. (1979). "The Properties of Oxide Layers Formed on Iridium, Rhodium and Ruthenium Electrodes During Potential Cycling". Israel Journal of Chemistry. 18 (1–2): 118–124. doi:10.1002/ijch.197900014. ISSN 1869-5868.
  19. ^ Łukaszewski, M.; Czerwiński, A. (2003-07-15). "Electrochemical behavior of palladium–gold alloys". Electrochimica Acta. 48 (17): 2435–2445. doi:10.1016/S0013-4686(03)00270-6. ISSN 0013-4686.
  20. ^ a b c Binninger, T.; Fabbri, E.; Kötz, R.; Schmidt, T. J. (2014). "Determination of the Electrochemically Active Surface Area of Metal-Oxide Supported Platinum Catalyst". Journal of the Electrochemical Society. 161 (3): H121 – H128. doi:10.1149/2.055403jes. ISSN 0013-4651.
  21. ^ Garrick, Taylor R.; Moylan, Thomas E.; Carpenter, Michael K.; Kongkanand, Anusorn (2017). "Editors' Choice—Electrochemically Active Surface Area Measurement of Aged Pt Alloy Catalysts in PEM Fuel Cells by CO Stripping". Journal of the Electrochemical Society. 164 (2): F55 – F59. doi:10.1149/2.0381702jes. ISSN 0013-4651.
  22. ^ a b Binninger, T.; Fabbri, E.; Kötz, R.; Schmidt, T. J. (2014). "Determination of the Electrochemically Active Surface Area of Metal-Oxide Supported Platinum Catalyst". Journal of the Electrochemical Society. 161 (3): H121 – H128. doi:10.1149/2.055403jes. ISSN 0013-4651.
  23. ^ Pozio, A; De Francesco, M; Cemmi, A; Cardellini, F; Giorgi, L (March 2002). "Comparison of high surface Pt/C catalysts by cyclic voltammetry". Journal of Power Sources. 105 (1): 13–19. Bibcode:2002JPS...105...13P. doi:10.1016/S0378-7753(01)00921-1.
  24. ^ Chen, Dong; Tao, Qian; Liao, Ling Wen; Liu, Shao Xiong; Chen, Yan Xia; Ye, Shen (October 2011). "Determining the Active Surface Area for Various Platinum Electrodes". Electrocatalysis. 2 (3): 207–219. doi:10.1007/s12678-011-0054-1. ISSN 1868-2529.
  25. ^ Rudi, Stefan; Cui, Chunhua; Gan, Lin; Strasser, Peter (2014-06-10). "Comparative Study of the Electrocatalytically Active Surface Areas (ECSAs) of Pt Alloy Nanoparticles Evaluated by Hupd and CO-stripping voltammetry". Electrocatalysis. 5 (4): 408–418. doi:10.1007/s12678-014-0205-2. ISSN 1868-2529.
  26. ^ Mathi, Selvam; Jayabharathi, Jayaraman (2020). "Enhanced stability and ultrahigh activity of amorphous ripple nanostructured Ni-doped Fe oxyhydroxide electrode toward synergetic electrocatalytic water splitting". RSC Advances. 10 (44): 26364–26373. Bibcode:2020RSCAd..1026364M. doi:10.1039/D0RA04828C. ISSN 2046-2069. PMC 9055439. PMID 35519769.
  27. ^ Serapinienė, Birutė; Gudavičiūtė, Laima; Tutlienė, Skirmantė; Grigucevičienė, Asta; Selskis, Algirdas; Juodkazytė, Jurga; Ramanauskas, Rimantas (2023-07-29). "On the Electrochemically Active Surface Area Determination of Electrodeposited Porous Cu 3D Nanostructures". Coatings. 13 (8): 1335. doi:10.3390/coatings13081335. ISSN 2079-6412.
  28. ^ a b McCrory, Charles C. L.; Jung, Suho; Peters, Jonas C.; Jaramillo, Thomas F. (2013-11-13). "Benchmarking Heterogeneous Electrocatalysts for the Oxygen Evolution Reaction". Journal of the American Chemical Society. 135 (45): 16977–16987. Bibcode:2013JAChS.13516977M. doi:10.1021/ja407115p. ISSN 0002-7863.
  29. ^ Yin, Shuli; Liu, Songliang; Zhang, Hugang; Jiao, Shiqian; Xu, You; Wang, Ziqiang; Li, Xiaonian; Wang, Liang; Wang, Hongjing (2021-05-05). "Engineering One-Dimensional AuPd Nanospikes for Efficient Electrocatalytic Nitrogen Fixation". ACS Applied Materials & Interfaces. 13 (17): 20233–20239. doi:10.1021/acsami.1c04619. ISSN 1944-8244. PMID 33884861.
  30. ^ Łukaszewski, M.; Czerwiński, A. (2010-05-03). "Electrochemical preparation and characterization of thin deposits of Pd-noble metal alloys". Thin Solid Films. 518 (14): 3680–3689. Bibcode:2010TSF...518.3680L. doi:10.1016/j.tsf.2009.10.008. ISSN 0040-6090.
  31. ^ a b Franklin, Thomas C.; Franklin, Nellie F. (1976-09-01). "The use of underpotential deposition to measure the surface area of metals". Surface Technology. 4 (5): 431–440. doi:10.1016/0376-4583(76)90057-1. ISSN 0376-4583.
  32. ^ a b Lamy-Pitara, E.; Barbier, J. (1997-01-23). "Platinum modified by electrochemical deposition of adatoms". Applied Catalysis A: General. 149 (1): 49–87. Bibcode:1997AppCA.149...49L. doi:10.1016/S0926-860X(96)00307-9. ISSN 0926-860X.
  33. ^ Watt-Smith, M J; Friedrich, J M; Rigby, S P; Ralph, T R; Walsh, F C (2008-09-07). "Determination of the electrochemically active surface area of Pt/C PEM fuel cell electrodes using different adsorbates". Journal of Physics D: Applied Physics. 41 (17): 174004. Bibcode:2008JPhD...41q4004W. doi:10.1088/0022-3727/41/17/174004. ISSN 0022-3727.
  34. ^ a b Schalenbach, Maximilian; Durmus, Yassin Emre; Tempel, Hermann; Kungl, Hans; Eichel, Rüdiger-A. (2021). "Double layer capacitances analysed with impedance spectroscopy and cyclic voltammetry: validity and limits of the constant phase element parameterization". Physical Chemistry Chemical Physics. 23 (37): 21097–21105. Bibcode:2021PCCP...2321097S. doi:10.1039/D1CP03381F. ISSN 1463-9076. PMID 34523643.
  35. ^ Watzele, Sebastian; Hauenstein, Pascal; Liang, Yunchang; Xue, Song; Fichtner, Johannes; Garlyyev, Batyr; Scieszka, Daniel; Claudel, Fabien; Maillard, Frédéric; Bandarenka, Aliaksandr S. (2019-10-04). "Determination of Electroactive Surface Area of Ni-, Co-, Fe-, and Ir-Based Oxide Electrocatalysts". ACS Catalysis. 9 (10): 9222–9230. doi:10.1021/acscatal.9b02006.

Further reading