ReaxFF for Vanadium and Bismuth Oxides Kim Chenoweth Force Field Sub-Group Meeting January 20, 2004

Overview Significance of a Bi/V force field ReaxFF: general principles Force field optimization for V Force field optimization for Bi Future work

Designing a Better Catalyst - I 85% of industrial organic chemicals are currently produced by catalytic processes 25% are produced by heterogeneous oxidation catalysis such as ammoxidation CH 2 =CHCH 3 + NH 3 + 3/2 O 2 CH 2 =CHCN + 3 H 2 O Bi-molybdates are currently used as the catalyst Use of alkanes as a cheaper feedstock requires design of a selective catalyst Promising catalysts are complex oxides containing Mo, V, Te, X, and O where X is at least one other element  Bismuth is one of the 19 elements listed in the Mitsubishi patent Cat

Designing a Better Catalyst - II Low-MW alkenes (i.e. ethene and propene) can be formed via non- oxidative dehydrogenation (ODH) of the corresponding alkane Supported vanadia is the most active and selective simple metal oxide for alkane ODH 1  Due to its reducible nature, it leads to rapid redox cycles necessary for catalytic turnover  Local structure strongly influences ODH reaction rates and selectivity Force field would allow for the study of large and complex systems with many atoms  Generate interesting structures for further study using QC methods  Optimize ratio of the various metals in the catalyst  Elucidate the purpose of the different metals 1 Argyle et al, J. Catal. 2002, 208, 139

ReaxFF Bridging the gap between QC and EFF Time Distance ÅngstromKilometers years QC ab initio, DFT, HF Electrons Bond formation MD Empirical force fields Atoms Molecular conformations MESO FEA Design Grains Grids ReaxFF Empirical methods: Study large system Rigid connectivity QC Methods: Allow reactions Expensive ReaxFF: Simulate bond formation in larger molecular systems

ReaxFF: Energy of the System 2-body multi-body 3-body4-body Similar to empirical non-reactive force fields Divides the system energy into various partial energy contributions

Important Features in ReaxFF A bond length/bond order relationship is used to obtain smooth transition from non-bonded to single, double, and triple bonded systems.  Bond orders are updated every iteration Non-bonded interactions (van der Waals, coulomb)  Calculated between every atom pair  Excessive close-range non-bonded interactions are avoided by shielding All connectivity-dependent interactions (i.e. valence and torsion angles) are made bond-order dependent  Ensures that their energy contributions disappear upon bond dissociation ReaxFF uses a geometry-dependent charge calculation scheme that accounts for polarization effects

ReaxFF as a Transferable Potential General Rules:  No discontinuities in energy or forces even during reactions  No pre-defined reactive sites or reaction pathways  Should be able to automatically handle coordination changes associated with reactions  One force field atom type per element  Should be able to determine equilibrium bond lengths, valence angles, etc from chemical environment

Strategy for Parameterization of ReaxFF 1.Identify important interactions to be optimized for relevant systems 2.Build QC-training set for bond dissociation and angle bending cases for small clusters 3.Build QC-training set for condensed phases to obtain equation of state 4.Force field optimization using 1.Metal training set 2.Metal oxide clusters and condensed phases 5.Applications

Cluster  Bonds  -Normal, under-, and over- coordinated systems  Angles  O-V=O, V-O-V, O=V=O Vanadium Training Set Condensed Phase  Metal  BCC, A15, FCC, SC, Diamond  Metal Oxide  VO (II) FCC  V 2 O 3 (III) Corundum  VO 2 (IV) Distorted rutile  V 2 O 5 (V) Layered octahedral 1st row transition metal (4s 2 3d 3 ) Successive bond dissociation of oxygen in V 4 O 10

Bulk Metal - Vanadium ReaxFFQC ReaxFF reproduces EOS and properly predicts instability of low- coordination phases (SC, Diamond)

Bond Dissociation in VO 2 OH

V=O Bond Dissociation in V 4 O 10

Angle Distortion in V 2 O 5 O-V=O AngleV-O-V Angle

Angle Distortion in VO 2 O=V=O Angle

Angle Distortion in V 2 O 6 V-O-O Angle

Charge Analysis for V x O y Clusters in Training Set

Charge Analysis for V x O Y Clusters in Literature (QC data taken from Calatayud et al, J. Phys. Chem. A 2001, 105, 9760.)

Bismuth Training Set Cluster  Bonds  -Normal, under-, and over- coordinated systems  Angles  Bi-Bi=O, O=Bi-O Condensed Phase  Metal  HCP, SC, BCC, A15, FCC, Diamond  Metal Oxide  BiO (II) Trigonal   -Bi 2 O 3 (III) Monoclinic   -Bi 2 O 3 (III) Distorted cubic  Bi 2 O 4 (Bi III Bi V O 4 ) Monoclinic  BiO 2 (IV) Cubic Common oxidation states: 3, 5

Bulk Metal - Bismuth ReaxFFQC

Relative Stabilities of V and Bi Bulk Phases Bismuth Vanadium

Application: Melting Point of Vanadium Melting point of Vanadium = 2163 K Melting point obtained from simulation ~ 1900 K 2500 K1700 K900 K 1700 K 1900 K 55 molecules

Application: Melting Point of Vanadium Melting point of Vanadium = 2163 K Melting point obtained from simulation ~ 2000 K 2500 K1700 K 2000 K 900 K 1700 K 147 molecules

Future Work Bismuth oxide force field training set:  Optimization of Bi oxide force field  Add bond dissociation and bond angles for clusters  Add bismuth oxide condensed phases Vanadium oxide force field training set:  Further optimization of vanadium oxide force field  Add successive V=O bond dissociation for V 4 O 10  Add vanadium oxide condensed phases Add to training set and continue optimizing force field