Methusalem Advisory Board meeting, Ghent, 17 June 2011 First-principles based design of Pt- and Pd-based catalysts for benzene hydrogenation Maarten K. Sabbe, Gonzalo Canduela, Marie- Françoise Reyniers, Guy B. Marin 1 1
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Introduction: benzene hydrogenation on Pt(111) Benzene hydrogenation: applications in hydrotreating, hydrocracking, cyclohexane production Current status of computational models: dominant path proposed based on Pt 22 cluster calculations (DP cluster ) Pt 22 cluster Electronic reaction barriers BP86/DZ on Pt 22 cluster of Pt(111) Saeys.M J.Phys.Chem.B , 109,2064- 2063 (2005) Regressions to experimental data suggest other dominant path (Thybaut): DP regressed Experimental work: no consensus on the rate determining step Entropy contributions difficult at cluster level: include using periodic calculations 2
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Aim Pt(111) Evaluate reaction barriers based on periodic calculations Calculate entropy contibutions and rate coefficients Perform reactor simulations and compare yields to experiment Pt- and Pd-based catalyst design evaluate stability and hydrogenation reactivity of Pt 3 M alloys and surface alloys (M= Ag,Au,Cu,Fe,Co,Ni,Pd) Pd: start design of Pd-based catalysts by developing a first principles kinetic model on Pd(111) 3
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Computational approach Periodic • 3 x 3 unit cell used to model the Pt(111) surface: 9 atoms/layer structure • moderate lateral interactions: coverage degree ≈ 30% Vacuum layer Artifical dipole layer 10.6 Å Relax 2 upper layers Fix 2 bottom layers Lattice constant: 4.011Å Surface with Unit cell Unit cell unit cell indicated Top view Side views • PW91 functional (GGA) DFT (VASP) • plane waves; PAW; 400 eV; no spin polarization (for clean Pt) • 5 x 5 x 1 k-point Monkhorst-Pack grid • first order Methfessel-Paxton smearing, σ =0.20 eV • TS determination: NEB, followed by DIMER calculation 4
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Outline Part I: Hydrogenation of benzene on Pt(111): from molecule to reactor • Reaction network: electronic barriers • Entropy contributions • Rate coefficients • Compare reactor simulations to experiment Part II: Catalyst-descriptor based design of hydrogenation catalysts 5
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Pt(111) network: electronic reaction barriers Based on Δ E el : no clear dominant path DP cluster,135THB dominant path on Pt 22 cluster level MEP periodical,123THB minimum energy path (periodical calculations) Electronic energy barriers Δ E el forward reverse 6
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Entropy contributions are important for K and k Immobile species: Harmonic frequency analysis vibrational Schrödinger equation Vibrational contribution to entropy 2 3 N 1 1 H q Hq ( q ) E ( q ) 2 2 m q 2 i i i h i 3 N h k T B Kinetic Potential energy requires i S R ln 1 e rovib, HO h i energy knowledge of Hessian H i 1 k T k T 1 e B B 2 E Hessian H q i = Δ x, Δ y, Δ z around ij q q equilbrium geometry i j Mobile species free rotation and/or free translation Replace 2 ‘ translational ’ and 1 ‘ rotational ’ frequency 2 1 S R ln q ' ( A , T ) 1 S R ln q ( T ) transl, surf trans rot, Z rot , Z 2 2 A: 10 -19 m² for H*; 5 10 -19 m² for hydrocarbon species identify mobility of surface species: calculate diffusion barriers 7
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Entropy contributions: mobile mode identification H* top to top diffusion (NEB) Determine transition states for diffusion 10 (NEB+dimer) 8 E-Etop kJ/mol Δ E ° 6 Species + motion kJ/mol 4 Hydrogen (top to top) 9.2 2 Hydrogen (top to hollow) 11.6 0 Translational Coordinate Benzene (hollow to bridge-rotation) 21.1 135 THB (translation) 233.0 1235 THB (rotation) 99.8 135-THB translation (diffusion barrier 233 kJ/mol) Cyclohexyl (translation) 98.5 Cyclohexyl (rotation around C-Pt bond) 12.7 Cyclohexane (rotation) 5.9 All species immobile at 450 K except H and cyclohexane (barrier < 9 kJ/mol) Initial state Final state 8
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Rate coefficients indicate dominant path no clear dominant path Evaluate full reaction network in simulation DP cluster dominant path at Pt 22 cluster level MEP periodical minimum energy path (periodical calculations) DP periodical, k dominant path based on rate coefficients (periodical calculations) rate coefficients k (s -1 ) forward reverse 9
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Experimental data: Berty set-up Catalyst: Pt/ZSM-22 (0.5 wt% Pt) Conversion: 9-85% Input variables (43 experiments) Benzene Feed (mol s -1 ) 17 10 -6 -57 10 -6 T (K) 425-500 P(atm) 10-30 p H2 /p B 5-11 W cat (g) 1.29 -1.8 W/F benzene (kg cat s -1 mol -1 ) 22-74 Berty-reactor: Gas phase CSTR (intrinsic kinetics) 10
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Reactor simulation approach Estimated parameters Simulations H2 adsorption enthalpy: strongly coverage CSTR model Levenberg-Marquardt for parameter dependent Estimation of this parameter required estimation Goal function= Σ (simulated product yield- Podkolzin et al., JPCB, exp.observed) 2 105:8550 (2001) K( T ) and k( T ) with mobile H* and cyclohexane*, other species are considered immobile catalyst model: 0.008 active sites/kg cat PSSA (reaching steady state using transient solver) Transient continuity equations: General reduction of activation energy: dF • calculated E a larger than experiment 0 i Gas phase species: F F R W i i i 0 • temperature dependence too strong dt without reduction of E a dC i * Surface species: R E a,i = E a,i, AbInitio + Δ E a ,parameter i * dt dC * Free sites: R * dt 11
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Full network: reactor simulation results • K( T ) and k( T ) for mobile H* and cyclohexane* (other immobile) • surface coverage ≈ 1 => take Δ H ads (benzene)= -66.1 kJ mol -1 (calculated value) Simulation Estimate Δ H H2 and Δ E a Cyclohexane yield parity plot E a,i = E a,i, AbInitio + Δ E a ,parameter 50 Simulated product yield (10-6 mol/s) Δ H ads,H2 -46.1 ± 2.2 kJ/mol 40 Δ E a -14.6 ± 2.7 kJ/mol 30 F 428 20 10 Estimating only Δ H H2 : yields still too low 0 • temperature dependence too strong 0 10 20 30 40 50 without reduction of E a Experimental product yield (10-6 mol/s) • Estimate E a reduction 12
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Full network: reaction path analysis 20 bar, 225 °C, 1.8 g cat , 0.13 mol/h benzene, Electronic energy barriers Δ E el (H 2 /B) in =5 forward W/F B =48.4 kg cat s/mol reverse • Clear pathway for step 4, 5 and 6 • In step 2 and 3 equilibration between intermediates 13
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Conclusions and prospects Conclusions • No clear dominant path based on electronic energies for full network • Activation energies need to be reduced in order to obtain quantitative agreement to experimental values • With 2 parameters, a reasonable agreement to experimental yields is obtained Future work • Multiscale modeling: development of first-principles based kinetic Monte Carlo simulation tools to assess the validity of the mean field approximation under industrially relevant operating conditions • Introduce method for clean Pt catalysis • If results differ significantly from mean-field results, apply on bimetallic catalysts as well 14
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Outline Part I: Hydrogenation of benzene on Pt(111): from molecule to reactor Part II: Catalyst-descriptor based design of hydrogenation catalysts • Pd catalysts • Pt 3 M catalysts • Conclusions & prospects 15
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Pd-catalyzed hydrogenation First step in design of Pd-based catalysts: develop kinetic model on Pd(111) analogous to Pt(111) → similar MEP as for Pt(111) PW91 PAW 400 eV Electronic energy barriers Δ E el benzene at hollow site forward 3x3 unit cell reverse Future work : entropy contributions, rate coefficients and multiscale modeling of the reactor 16
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Pt 3 M catalysts: surface segregation Pt 3 M alloys (4x4 supercells) Pt 3 M/Pt Pt 3 M (M= Ag, Au, Cu, Fe, Co, Ni, Pd) Surface alloy Bulk alloy →evaluate stability & reactivity Segregation Most stable alloys studied Au, Ag Au/Pt ∆E seg large Ag/Pt ∆ E seg = E slab,seg – E slab,non-seg No segregation Pt 3 Ag/Pt surface alloy Pt 3 Au/Pt Pd stays in place Pt 3 Pd/Pt Pt 3 Pd bulk alloy Antisegregation Pt/Pt 3 M/Pt surface alloys Fe, Co, Ni, Cu Pt/PtM/Pt 3 M bulk alloys ∆ E antiseg large M=Fe, Ni, Co and Cu ∆ E antiseg = E slab,antiseg – E slab,non-seg 17 17
Methusalem Advisory Board meeting, Ghent, 17 June 2011 Adsorption sites Hydrogen Benzene Non-segregated Top-Pt Pt 3 -fcc Pt 2 M-hcp fcc-Pt 2 M 0 Pt 2 M-fcc 0 bri-PtM 30 Top-M Pt 2 -bri 30 0 Pt 3 -fcc 0 fcc-Pt 3 bri-Pt 2 PtM-bri 30 30 Anti-segregated Top-Pt 1 Pt 2 M-hcp 0 hcp-Pt 0 Pt 3 -hcp 0 hcp-M 0 Pt 3 -fcc Pt 3 -hcp Non-segregated Antisegregated Top-Pt 2 18 18
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