Supporting Information Lone pair ∙∙∙ π interactions between water oxygens and aromatic residues: Quantum chemical studies based on high-resolution protein structures and model compounds. Alok Jain1, Venkatnarayan Ramanathan2 and Ramasubbu Sankararamakrishnan1* 1 Department of Biological Sciences and Bioengineering and 2Department of Chemistry Indian Institute of Technology Kanpur, Kanpur-208016 (UP), India Corresponding author E-mail: rsankar@iitk.ac.in. Telephone: (+91)-512-2594014 Fax: (+91)-512-2594010 S1 Figure S1 Figure S1: Influence of water hydrogen atoms even when they are maximally displaced away from the aromatic center. Two orientations of water molecules are shown. In (A), the minimum distance between water hydrogens and indole nitrogen atom is 3.83 Å and in (B), it is 4.00 Å. Apart from this difference, all parameters such as d and δ are same for both the structures. The interaction energy is more favorable for (B) (-1.27 kcal/mol) compared to (A) (-0.78 kcal/mol). Such a small displacement (0.17 Å) of water hydrogen atoms has resulted in interaction that is ~ 0.5 kcal/mol more favorable. S2 Figure S2 Figure S2: Plot of a regression between the minimum distance of water hydrogen atoms from the indole nitrogen and the interaction energy calculated between a water molecule and the 5-membered indole ring. The water orientations were generated by rotating the water molecule about the five-fold rotational axis of the pyrrole ring of the indole moiety by fixing d at 3.2 Å. S3 Figure S3 Figure S3: Water – Histidine interaction in the protein methionine aminopeptidase (PDB ID: 1C24; chain id: A) involving His236 and HOH7. Hydrogen atom coordinates were generated using GROMACS-OPLS (top) and InsightII (bottom). Residues within 3.5 Å of imidazole nitrogen atoms and that form hydrogen bonds are displayed. In top, His236 is protonated and participates in hydrogen bond interactions with Asp254 and Thr249 and in both cases, it donates proton to the side-chain oxygens. In bottom, His236 is neutral. As observed in the previous case, it is involved in hydrogen bond interactions with both Asp254 and Thr249. In the former case, it behaves as donor and in the latter case, the Nδ atom of His plays the role of acceptor atom. Distance between the water oxygen and aromatic center is displayed. Protonation state of histidine residue heavily influences the strength of lone –pair …π electron interaction between the water oxygen and the aromatic center. All the distances between hydrogen and heavy atoms of hydrogen bond interactions are also shown. Residues are shown in one letter code with their residue numbers. The following color coding is used for atoms – oxygen: red; nitrogen: blue; carbon: grey; hydrogen: white S4 Table S1: Optimal binding energies of water-aromatic systems at δ = 0º and δ = 90ºa Aromatic Distance d (Å)b MP2/6-311++G (d,p) binding energy in kcal/mol Benzene 3.30 3.40 3.30 3.20 3.20 3.20 3.20 3.30 3.30 3.30 3.20 2.90 -1.44 -0.17 -1.47 -0.54 -1.66 -0.83 -1.69 -0.26 -1.70 -0.47 -4.02 -9.25 Imidazole Indole_5 Indole_6 Phenol Protonated imidazole aData in top and bottom rows correspond to δ = 0 and 90º respectively. bOw···AC distance; see Figure 1A for details of geometry S5 Table S2 Cartesian coordinates for model compounds with water at MP2/6-311++G (d, p) level of theory at two orientations δ = 0° and δ = 90° (1) Benzene-Water at 0° C 0.000000 C 0.000000 C 1.212621 C 2.425242 C 2.425242 C 1.212621 H 1.212621 H 3.366326 H 3.366326 H 1.212621 H -0.941085 H -0.941085 O 1.212621 H 2.103823 H 1.350413 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 3.300000 3.300000 3.300000 0.000000 1.400214 2.100321 1.400214 0.000000 -0.700107 3.186992 1.943549 -0.543335 -1.786777 -0.543335 1.943550 0.700107 1.055534 -0.249410 (2) Benzene-Water at 90° C 0.000000 C 0.000000 C 1.212621 C 2.425242 C 2.425242 C 1.212621 H 1.212621 H 3.366326 H 3.366326 H 1.212621 H -0.941085 H -0.941085 O 1.212621 H 1.589300 H 0.835942 0.000000 0.000000 0.000000 1.400214 0.000000 2.100321 0.000000 1.400214 0.000000 0.000000 0.000000 -0.700107 0.000000 3.186992 0.000000 1.943549 0.000000 -0.543335 0.000000 -1.786777 0.000000 -0.543335 0.000000 1.943550 3.400000 0.700107 3.994156 1.352534 3.994156 0.047680 S6 (3) Imidazole-Water at 0° C 0.000000 0.000000 0.000000 N 0.000000 0.000000 1.367310 C 1.312154 0.000000 1.782542 C 2.053974 0.000000 0.616412 N 1.231935 0.000000 -0.487725 H -0.814974 0.000000 1.963235 H 1.588525 0.000000 2.825836 H 3.130165 0.000000 0.518603 H -0.912668 0.000000 -0.578995 O 0.910010 -3.300000 0.647512 H 1.830863 -3.300000 0.378071 H 0.957272 -3.300000 1.605810 (4) Imidazole-Water at 90° C 0.000000 0.000000 0.000000 N 0.000000 0.000000 1.367310 C 1.312154 0.000000 1.782542 C 2.053974 0.000000 0.616412 N 1.231935 0.000000 -0.487725 H -0.814974 0.000000 1.963235 H 1.588525 0.000000 2.825836 H 3.130165 0.000000 0.518603 H -0.912668 0.000000 -0.578995 O 0.910010 -3.200000 0.647512 H 1.346915 -3.794156 0.033784 H 0.473383 -3.794156 1.261439 (5) Indole 5-membered ring-Water at 0° N 0.000000 C 0.000000 C 1.362221 C 2.167412 C 1.300852 C -1.070657 C -0.757769 C 0.587260 C 1.645406 H -1.560895 0.000000 0.000000 0.000000 1.378068 0.000000 1.799459 0.000000 0.613009 0.000000 -0.461506 0.000000 2.285602 0.000000 3.642707 0.000000 4.085736 0.000000 3.182282 0.000000 4.374854 S7 H 0.792406 0.000000 5.152947 H 2.674505 0.000000 3.533718 H 3.247308 0.000000 0.552558 H 1.506869 0.000000 -1.523549 H -0.822981 0.000000 -0.583350 H -2.103906 0.000000 1.946266 O 0.978024 -3.200000 0.651156 H 1.005409 -3.200000 -0.307916 H 1.904265 -3.200000 0.901449 (6) Indole 5-membered ring-Water at 90° N C C C C C C C C H H H H H H H O H H 0.000000 0.000000 0.000000 0.000000 0.000000 1.378068 1.362221 0.000000 1.799459 2.167412 0.000000 0.613009 1.300852 0.000000 -0.461506 -1.070657 0.000000 2.285602 -0.757769 0.000000 3.642707 0.587260 0.000000 4.085736 1.645406 0.000000 3.182282 -1.560895 0.000000 4.374854 0.792406 0.000000 5.152947 2.674505 0.000000 3.533718 3.247308 0.000000 0.552558 1.506869 0.000000 -1.523549 -0.822981 0.000000 -0.583350 -2.103906 0.000000 1.946266 0.978024 -3.200000 0.651156 0.528767 -3.794154 0.046409 1.427563 -3.794154 1.255693 (7) Indole 6-membered ring-Water at 0° N 0.000000 C 0.000000 C 1.362221 C 2.167412 C 1.300852 C -1.070657 C -0.757769 C 0.587260 0.000000 0.000000 0.000000 1.378068 0.000000 1.799459 0.000000 0.613009 0.000000 -0.461506 0.000000 2.285602 0.000000 3.642707 0.000000 4.085736 S8 C H H H H H H H O H H 1.645406 0.000000 3.182282 -1.560895 0.000000 4.374854 0.792406 0.000000 5.152947 2.674505 0.000000 3.533718 3.247308 0.000000 0.552558 1.506869 0.000000 -1.523549 -0.822981 0.000000 -0.583350 -2.103906 0.000000 1.946266 0.325781 -3.200000 2.714745 0.379188 -3.200000 3.672720 -0.618235 -3.200000 2.543272 (8) Indole 6-membered ring-Water at 90° N C C C C C C C C H H H H H H H O H H 0.000000 0.000000 0.000000 0.000000 1.362221 0.000000 2.167412 0.000000 1.300852 0.000000 -1.070657 0.000000 -0.757769 0.000000 0.587260 0.000000 1.645406 0.000000 -1.560895 0.000000 0.792406 0.000000 2.674505 0.000000 3.247308 0.000000 1.506869 0.000000 -0.822981 0.000000 -2.103906 0.000000 0.325781 -3.300000 0.824327 -3.894154 -0.173028 -3.894154 0.000000 1.378068 1.799459 0.613009 -0.461506 2.285602 3.642707 4.085736 3.182282 4.374854 5.152947 3.533718 0.552558 -1.523549 -0.583350 1.946266 2.714745 3.279548 2.150175 (9) Phenol-Water at 0° C C C C C C 0.000000 0.000000 1.209276 2.417149 2.428543 1.215380 0.000000 0.000000 0.000000 1.400059 0.000000 2.104553 0.000000 1.402202 0.000000 0.001399 0.000000 -0.694596 S9 O -1.153816 0.000000 2.140739 H 1.185495 0.000000 3.190055 H 3.353205 0.000000 1.954308 H 3.369824 0.000000 -0.539666 H 1.207813 0.000000 -1.781264 H -0.942835 0.000000 -0.544061 H -1.903059 0.000000 1.536241 O 1.212436 -3.300000 0.700059 H 1.350227 -3.300000 -0.249458 H 2.103637 -3.300000 1.055486 (10) Phenol-Water at 90° C C C C C C O H H H H H H O H H 0.000000 0.000000 1.209276 2.417149 2.428543 1.215380 -1.153816 1.185495 3.353205 3.369824 1.207813 -0.942835 -1.903059 1.212436 0.835908 1.589267 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 -3.300000 -3.894154 -3.894154 0.000000 1.400059 2.104553 1.402202 0.001399 -0.694596 2.140739 3.190055 1.954308 -0.539666 -1.781264 -0.544061 1.536241 0.700059 0.047543 1.352399 (11) Protonated Imidazole-Water at 0° C 0.000000 N 0.000000 C 1.256490 N 2.062306 C 1.317948 H 3.076325 H 1.768332 H -0.908944 H 1.560596 H -0.826255 0.000000 0.000000 0.000000 1.376639 0.000000 1.841304 0.000000 0.771174 0.000000 -0.386859 0.000000 0.820998 0.000000 -1.367235 0.000000 -0.581249 0.000000 2.877038 0.000000 1.966545 S10 O H H 0.930742 -3.200000 0.041647 -3.200000 1.488808 -3.200000 0.718369 0.357701 -0.062100 (12) Protonated Imidazole-Water at 90° C 0.000000 0.000000 0.000000 N 0.000000 0.000000 1.376639 C 1.256490 0.000000 1.841304 N 2.062306 0.000000 0.771174 C 1.317948 0.000000 -0.386859 H 3.076325 0.000000 0.820998 H 1.768332 0.000000 -1.367235 H -0.908944 0.000000 -0.581249 H 1.560596 0.000000 2.877038 H -0.826255 0.000000 1.966545 O 0.930742 -2.900000 0.718369 H 0.207164 -3.494156 0.928091 H 1.654224 -3.494156 0.508318 Table S3 Absolute energies (in Hartree) at the MP2/G-311++G (d, p) level of theory System Benezene Imidazole Indole 5-membered ring Indole 6-membered ring Phenol Protonated Imidazole δ = 0° -307.8614683 -301.9169059 -439.1052999 -439.1053391 -382.943905 -302.2900926 S11 δ = 90° -307.8594534 -301.9154244 -439.1039655 -439.1030596 -382.9419516 -302.2984328