Electrochemical reactors {often|frequently|usually|typically|generally|normally} employ {high|higher} surface {area|region|location} electrocatalysts to accelerate volumetric reaction {rates|prices} and {increase|improve|boost|enhance|raise} productivity. {While|Whilst|Although|Even though|When|Though} electrocatalysts can alleviate kinetic overpotentials, diffusional resistances {at the|in the} pore-scale {often|frequently|usually|typically|generally|normally} {prevent|stop|avoid|avert|protect against} {full|complete} catalyst utilization. The {effect|impact} of intraparticle diffusion {on the|around the} {overall|general|all round} reaction {rate|price} {can be|may be|could be|might be|is often|is usually} quantified {through|via|by means of|by way of} an effectiveness {factor|aspect|element|issue} expression governed by the Thiele modulus parameter. This analytical {approach|method|strategy} is integral {to the|towards the|for the} {development|improvement} of catalytic structures for thermochemical processes and has previously been extended to electrochemical processes by accounting for the {relationship|partnership|connection} {between|in between|among|amongst|involving} reaction kinetics and electrode overpotential. {In this|Within this} paper, we illustrate the {method|technique|approach|strategy|system|process} by deriving the expression for the potential-dependent Thiele modulus and {using|utilizing|making use of|employing|working with|applying} it to quantify the effectiveness {factor|aspect|element|issue} for porous electrocatalytic structures. {Specifically|Particularly|Especially}, we demonstrate the application of this mathematical framework to spherical microparticles as a function of applied overpotential across catalyst properties and reactant {characteristics|traits|qualities}. The relative effects of kinetics and mass transport are {related to|associated with} {overall|general|all round} reaction {rates|prices}, revealing markedly {lower|reduce|reduced|decrease} catalyst utilization at {increasing|growing|escalating|rising} overpotential. Subsequently, we generalize the {analysis|evaluation} to {different|various|distinct|diverse|unique|distinctive} catalyst shapes and {provide|offer|supply|give|present|deliver} guidance {on the|around the} {design|style|design and style} of porous catalytic {materials|supplies|components} for use in electrochemical reactors. α-(Bromomethyl)-2-pyrazinemethanol Price 2170371-90-9 custom synthesis PMID:25023702
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