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. 2023 Apr 17;3(3):128–164. doi: 10.1021/acsengineeringau.2c00053

Table 2. Examples of Molecular Modeling Applications to Compare Interaction Affinity of Various Reagent–Mineral Systems.

minerals reagents (type and name) molecular modeling approach comparative results main limitations refs
bastnäsite, calcite collector: salicylhydroxamic acid (SHA), benzohydroxamic acid (BHA), salicylic acid (SA) DFT (GGA/PBE functional) collector affinity toward bastnäsite: BHA > SHA > SA 1. mineral surface charges and protonation states of surface ligands at studied pH not defined specified; 2. explicit water-solvated forms of models not studied (167)
collector affinity toward calcite: SHA > SA > BHA
sylvite (KCl), halite (NaCl) (potash ores) collector: octadecylamine MD (COMPASS force field) mineral affinity toward collector: KCl > NaCl 1. mineral surface complexations at the studied pH not considered in the simulations; 2. simulation box size too small for an MD simulation; 3. number of water molecules in the model very low, preventing collector solvation to occur (234)
magnesite, calcite, dolomite collector: potassium cetyl phosphate MD (COMPASS and Universal, force fields) mineral affinity toward phosphate-based collector: magnesite > calcite and dolomite 1. mineral surface complexation at the studied pH not considered in the simulations; 2. no verification of reaching equilibrium state; 3. no verification of the force field parameters, particularly when using a generic force field like Universal (235), (236)
quartz, magnesite, dolomite Collector: isopropanol amine MD (force field unknown) mineral affinity toward amine-based collectors: quartz > dolomite > magnesite 1. mineral surface complexation at studied pH not considered in the simulations; 2. number of water molecules in the model very low, preventing collector solvation to occur; 3. no information on force field parameters reported, so the accuracy of parameters cannot be verified (237)
bastnäsite, calcite collector: bisphosphinate ligands DFT (PBEsol-D3) + AIMD (γ point) 1. mineral affinity toward reagents: bastnäsite > calcite   (171)
brucite, kaolinite, quartz flocculant: hydrolyzed polyacrylamides MD (AMBER + CLAYFF-MOH force field) mineral affinity toward reagents: brucite > kaolinite > quartz   (238)
kaolinite, montmorillonite depressant: nine types of organic carboxylates DFT (GGA/PBE functional) 1. depressant affinity toward kaolinite: hydrogen phthalate > acetate > hydrogen succinate > hydrogen citrate > gallate > salicylate > hydrogen oxalate > bitartrate > lactate 1. calculations carried out in gas phase, no water effect included; 2. effect of initial configurations of adsorbates not comprehensively investigated (239)
2. depressant affinity toward montmorillonite: hydrogen phthalate > acetate > hydrogen succinate > hydrogen citrate > gallate > salicylate > hydrogen oxalate > bitartrate > lactate
chalcopyrite: (100) and (110) cleavage planes collector: thiophosphorus collector, including diethyl dithiophosphate (DEDTPA), diethyl dithiophosphinate (DEDTPI), diethyl monothiophosphate (DEMTPA), and diethyl monothiophosphinate (DEMTPI) DFT (GGA/RBPE functional) 1. collector affinity toward (100) surface: DEDTPI > DEDTPA > DEMTPI > DEMTPA 1. effect of water molecules not considered (240)
2. collector affinity toward (100) surface: DEDTPI > DEDTPA > DEMTPI > DEMTPA
3. (110) surface more strongly adsorbs collectors than (100) surface
calcite, dolomite, ankerite collector: alkyl hydroxamic acid bearing collector; depressant: sodium silicate DFT (GGA/PBEsol functional) 1. collector affinity toward minerals: ankerite > calcite > dolomite 1. water effect not included in the calculations; 2. effect of initial configurations on adsorption modes not comprehensively investigated (241)
2. depressant affinity toward minerals: ankerite > dolomite > calcite
3. interaction energy of collector with minerals higher than depressant
fluorapatite, dolomite collector: N-hexadecanoylglycine DFT (GGA/PBE functional) collector affinity toward minerals: fluorapatite > dolomite 1. water effect not included in the calculations; 2. effect of initial configurations on adsorption modes not comprehensively investigated (242)
sphalerite, pyrite collector: tert-dodecyl mercaptan (TDM) DFT (GGA/PBE functional) collector affinity toward mineral: sphalerite > pyrite 1. water effect not included in the calculations; 2. vacuum thickness not tuned for DFT calculations: 10 Å vacuum insufficient to prevent relatively long reagent from seeing other slab side (243)