Introduction
Computational methods
Benchmark potential energy curves
Simulation of cellulose surfaces
Cellulose surface–surface interaction energies
Results and discussion
Intermolecular interaction potentials between water: CNC functional groups
Complex | B3LYP/6-311++G** | M06-2X/6-311++G** | ωB97X-D/6-311++G** | MP2/cc-pVTZ | MP2/aug-cc-pVTZ | ||||
---|---|---|---|---|---|---|---|---|---|
req
| ∆E | req
| ∆E | req
| ∆E | req
| ∆E | ∆E | |
EtOH–H2O | 2.914 | −19.3 | 2.882 | −22.6 | 2.878 | −22.1 | 2.883 | −18.4 | −19.0 |
EtOH–Na+
| 2.192 | −119.6 | 2.181 | −121.0 | 2.212 | −115.5 | 2.252 | −109.7 | −108.3 |
EtOH/Na+–H2O | 4.458 | −90.5 | 4.418 | −93.4 | 4.494 | −87.7 | 4.582 | −84.1 | −81.1 |
CH3COO−–H2O | 3.171 | −84.7 | 3.146 | −93.9 | 3.162 | −90.4 | 3.116 | −81.3 | −85.2 |
CH3COO−–Na+
| 2.506 | −413.9 | 2.480 | −479.2 | 2.524 | −604.3 | 2.544 | −482.2 | −595.2 |
CH3COO−/Na+–H2O | 3.101 | −130.8 | 3.045 | −146.9 | 3.096 | −133.2 | 3.081 | −125.2 | −124.8 |
CH3OSO3
−–H2O | 3.484 | −59.4 | 3.393 | −72.1 | 3.428 | −67.2 | 3.391 | −59.1 | −63.0 |
CH3OSO3
−–Na+
| 2.747 | −465.7 | 2.721 | −537.3 | 2.765 | −536.7 | 2.806 | −621.7 | −525.4 |
CH3OSO3
−/Na+–H2O | 3.568 | −92.3 | 3.533 | −102.4 | 3.554 | −98.2 | 3.539 | −90.5 | −90.0 |
Interaction potentials between the sodium ion and CNC surface groups
Effect of the sodium ion on the water potential energy curves
DFT optimised cellulose surface structures
Adsorption of water and sodium ion on the cellulose surfaces
Cellulose Surface | PBE-D (Benchmark models) | B3LYP/6-31G* (Benchmark models) | PBE-D | B3LYP/6-31G* | B3LYP/6-31G* (solvated in water) | ||||
---|---|---|---|---|---|---|---|---|---|
req
| ∆E | req
| ∆E | req
| ∆E | req
| ∆E | ∆E | |
Unmodified—H2O | 2.910 | −21.9 | 2.859 | −23.1 | 2.782 | −76.6 | 2.765 | −65.6 | −67.4 |
Unmodified—Na+
| 2.199 | −122.1 | 2.172 | −126.4 | 2.506 | −608.0 | 3.887 | −356.3 | −73.9 |
Unmodified/Na+–H2O | 4.510 | −87.8 | 4.360 | −100.9 | 3.561 | −79.4 | 3.768 | −110.3 | −81.4 |
Carboxylated—H2O | 3.162 | −90.6 | 3.136 | −88.3 | 3.316 | −71.3 | 3.398 | −90.8 | −87.4 |
Carboxylated—Na+
| 2.524 | −497.6 | 2.544 | −395.7 | 2.724 | −854.1 | 2.663 | −649.5 | −124.8 |
Carboxylated/Na+–H2O | 3.638 | −86.3 | 3.690 | −79.0 | 3.694 | −76.0 | 3.562 | −64.5 | −84.1 |
Sulphated—H2O | 3.406 | −66.1 | 3.403 | −56.7 | 3.415 | −53.9 | 3.479 | −42.0 | −26.7 |
Sulphated—Na+
| 2.760 | −427.9 | 2.719 | −450.7 | 2.921 | −910.1 | 2.829 | −652.0 | −113.7 |
Sulphated/Na+–H2O | 3.641 | −81.7 | 3.610 | −77.5 | 4.094 | −76.1 | 3.903 | −77.4 | −62.7 |
Cellulose surface | PBE-D | B3LYP/6-31G* | B3LYP/6-31G* (solvated in water) | ||
---|---|---|---|---|---|
req
| ∆E | req
| ∆E | ∆E | |
Unmodified—H2O | 2.758 | −66.2 | 7.761 | −71.4 | −77.9 |
Unmodified—Na+
| 2.382 | −577.6 | 3.464 | −351.2 | −65.7 |
Unmodified/Na+–H2O | 4.211 | −80.4 | 4.284 | −106.9 | −77.7 |
Carboxylated—H2O | 3.195 | −73.8 | 3.233 | −91.5 | −87.4 |
Carboxylated—Na+
| 2.609 | −973.8 | 2.603 | −732.9 | −157.2 |
Carboxylated/Na+–H2O | 3.822 | −74.3 | 3.581 | −91.5 | −73.8 |
Sulphated—H2O | 3.442 | −52.1 | 3.555 | −64.6 | −59.9 |
Sulphated–Na+
| 2.911 | −956.6 | 2.868 | −689.2 | −103.6 |
Sulphated/Na+–H2O | 3.421 | −100.2 | 3.492 | −102.1 | −83.2 |