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| 1 | +\begin{tabular}{% |
| 2 | + >{\raggedright\arraybackslash}p{0.20\textwidth} |
| 3 | + >{\raggedright\arraybackslash}p{0.15\textwidth} |
| 4 | + >{\raggedright\arraybackslash}p{0.25\textwidth} |
| 5 | + >{\raggedright\arraybackslash}p{0.32 \textwidth} |
| 6 | +} |
| 7 | + |
| 8 | + \toprule |
| 9 | + \textbf{Representation} & \textbf{Encoded information} & \textbf{Description} & \textbf{Example} \\ |
| 10 | + \midrule |
| 11 | + |
| 12 | + \midrule |
| 13 | + |
| 14 | + Elemental composition & Stoichiometry & Always available, but non-unique. & C9H8O4 \\ |
| 15 | + \addlinespace |
| 16 | + \gls{iupac} name & Stoichiometry, bonding, geometry & Universally understood, systematic nomenclature, unmanageable for large molecules, and lacks detailed 3D information. & 2-acetyloxybenzoic acid \\ |
| 17 | + \addlinespace |
| 18 | + \gls{smiles} \autocite{weininger1988smiles} & Stoichiometry, bonding & Massive public corpora and tooling support, however, there are several valid strings per molecule, and it does not contain spatial information. & \footnotesize \texttt{CC(=O)OC1=CC=CC=C1C(=O)O}, \texttt{O=C(O)c1ccccc1OC(C)=O}, \emph{etc.} \\ |
| 19 | + \addlinespace |
| 20 | + \gls{selfies} \autocite{krenn2020self,cheng2023group} & Stoichiometry, bonding & 100\% syntactic and semantic validity by construction, including meaningful grouping. & \footnotesize \texttt{[C][C][=Branch1][C][=O][O][C][=C][C][=C][C][=C][Ring1][=Branch1][C][=Branch1][C][=O][O]} \\ |
| 21 | + \addlinespace |
| 22 | + \gls{inchi} & Stoichiometry, bonding & Canonical one-to-one identifier; encodes stereochemistry layers. & \footnotesize \texttt{InChI=1S/C9H8O4/c1-6(10)13-8-5-3-2-4-7(8)9(11)12/h2-5H,1H3,(H,11,12)} \\ |
| 23 | + \addlinespace |
| 24 | + Graphs & Stoichiometry, bonding, geometry & Strong inductive bias that works with \glspl{gnn}. Symmetry-equivariant variants available. Long-range interactions are implicit. & [Image: figures/Aspirin.png] \\ |
| 25 | + \addlinespace |
| 26 | + xyz representation & Stoichiometry, geometry & Exact spatial detail. It is high dimensional, and orientation alignment is needed. & \footnotesize 1.2333 0.5540 0.7792 O -0.6952 -2.7148 -0.7502 O 0.7958 -2.1843 0.8685 O 1.7813 0.8105 -1.4821 O -0.0857 0.6088 0.4403 C \ldots \\ |
| 27 | + \addlinespace |
| 28 | + Multimodal & Stoichiometry, bonding, geometry, symmetry, periodicity, coarse graining & Combines complementary signals; boosts robustness and coverage. It is hard to implement, the complexity scales with the amount of representations, some modalities are data-scarce, and the information encoded totally depends on the modalities included. & [Image: figures/60031761.jpeg] \\ |
| 29 | + \addlinespace |
| 30 | + \gls{cif} \autocite{hall1991crystallographic} & Stoichiometry, bonding, geometry, periodicity & Standardized and widely supported, however, it carries heterogeneous keyword sets and parser overhead & \footnotesize \texttt{data\_Si \_symmetry\_space\_group\_name\_H-M 'P 1' \_cell\_length\_a 3.85 \ldots \_cell\_angle\_alpha 60.0 \ldots \_symmetry\_Int\_Tables\_number 1 \_chemical\_formula\_structural Si \_chemical\_formula\_sum Si2 \_cell\_volume 40.33 \_cell\_formula\_units\_Z 2 loop\_ \_symmetry\_equiv\_pos\_site\_id \_symmetry\_equiv\_pos\_as\_xyz 1 'x, y, z' loop\_ \_atom\_type\_symbol \_atom\_type\_oxidation\_number Si0+ 0.0loop\_ \_atom\_site\_type\_symbol \_atom\_site\_label \_atom\_site\_symmetry\_multiplicity \_atom\_site\_fract\_x \ldots \_atom\_site\_occupancy Si0+ Si0 1 0.75 0.75 0.75 1.0 Si0+ Si1 1 0.0 0.0 0.0 1.0}\\ |
| 31 | + \addlinespace |
| 32 | + Condensed \gls{cif} \autocite{gruver2024finetuned, antunes2024crystal} & Stoichiometry, geometry, symmetry, periodicity & Good for crystal generation tasks. It omits occupancies and defects, custom tooling is needed, and only works for crystals & \footnotesize \texttt{3.8 3.8 3.8 59 59 59 Si0+ 0.75 0.75 0.75 Si0+ 0.00 0.00 0.00}\\ |
| 33 | + \addlinespace |
| 34 | + \glslink{slices}{SLICES} \autocite{Xiao_2023} & Stoichiometry, bonding, periodicity & Invertible, symmetry-invariant and compact for general crystals. However, it carries ambiguity for disordered sites & \footnotesize \texttt{Si Si 0 1 + + + 0 1 + + o 0 1 + o + 0 1 o + +} \\ |
| 35 | + \addlinespace |
| 36 | + \glslink{localenv}{Local-Env}\autocite{alampara2024mattext} & Stoichiometry, bonding, symmetry, coarse graining & Treats each coordination polyhedron as a \enquote{molecule}, it is transferable and compact; but it ignores long-range order and its reconstruction requires post-processing & \footnotesize \texttt{R-3m Si (2c) [Si][Si]([Si])[Si]} \\ |
| 37 | + \addlinespace |
| 38 | + Natural-language description \autocite{ganose2019robocrystallographer} & Stoichiometry, bonding, geometry, symmetry, periodicity, coarse graining & It is human-readable and more intuitive tokenizable by \glspl{llm}. However, trying to encode all the information can lead to verbose, ambiguous descriptions. & \enquote{Silicon crystallizes in the diamond-cubic structure, a lattice you can picture as two face-centred-cubic frameworks gently interpenetrating\ldots} \\ |
| 39 | +\end{tabular} |
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