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Neutron structure of the T26H mutant of T4 phage lysozyme provides insight into the catalytic activity of the mutant enzyme and how it differs from that of wild type

Abstract T4 phage lysozyme is an inverting glycoside hydrolase that degrades the murein of bacterial cell walls by cleaving the β‐1,4‐glycosidic bond. The substitution of the catalytic Thr26 residue to a histidine converts the wild type from an inverting to a retaining enzyme, which implies that the original general acid Glu11 can also act as an acid/base catalyst in the hydrolysis. Here, we have determined the neutron structure of the perdeuterated T26H mutant to clarify the protonation states of Glu11 and the substituted His26, which are key in the retaining reaction. The 2.09‐Å resolution structure shows that the imidazole group of His26 is in its singly protonated form in the active site, suggesting that the deprotonated Nɛ2 atom of His26 can attack the anomeric carbon of bound substrate as a nucleophile. The carboxyl group of Glu11 is partially protonated and interacts with the unusual neutral state of the guanidine moiety of Arg145, as well as two heavy water molecules. Considering that one of the water‐binding sites has the potential to be occupied by a hydronium ion, the bulk solvent could be the source for the protonation of Glu11. The respective protonation states of Glu11 and His26 are consistent with the bond lengths determined by an unrestrained refinement of the high‐resolution X‐ray structure of T26H at 1.04‐Å resolution. The detail structural information, including the coordinates of the deuterium atoms in the active site, provides insight into the distinctively different catalytic activities of the mutant and wild type enzymes.

Abstract: T4 phage lysozyme is an inverting glycoside hydrolase that degrades the murein of bacterial cell walls by cleaving the b-1,4-glycosidic bond. The substitution of the catalytic Thr26 residue to a histidine converts the wild type from an inverting to a retaining enzyme, which implies that the original general acid Glu11 can also act as an acid/base catalyst in the hydrolysis. Here, we have determined the neutron structure of the perdeuterated T26H mutant to clarify the protonation states of Glu11 and the substituted His26, which are key in the retaining reaction. The 2.09-Å resolution structure shows that the imidazole group of His26 is in its singly protonated form in the active site, suggesting that the deprotonated NE2 atom of His26 can attack the anomeric carbon of bound substrate as a nucleophile. The carboxyl group of Glu11 is partially protonated and interacts with the unusual neutral state of the guanidine moiety of Arg145, as well as two heavy water molecules. Considering that one of the water-binding sites has the potential to be occupied by a hydronium ion, the bulk solvent could be the source for the protonation of Glu11. The respective

Introduction
Lysozymes are glycoside hydrolases that are involved in the degradation of murein, a major bacterial cell-wall component, which catalyze the hydrolytic cleavage of the b-1,4-glycosidic bond between N-acetyl muramic acid (NAM) and N-acetyl glucosamine (NAG). 1 On the basis of the different anomeric structures of hydrolyzed products, the members are divided into two types: retaining and inverting enzymes, and are further classified in seven glycoside hydrolase (GH) families and subfamilies (GH19, GH22c, GH22i, GH23, GH24v, GH24l, and GH46) of the lysozyme superfamily, based on their amino-acid sequences. 2,3 The most characterized member is hen egg-white lysozyme (HEWL) of the subfamily GH22c (for the chicken type). HEWL is a retaining enzyme that catalyzes the hydrolysis by a double displacement mechanism, in which the scissile glycosidic bond is cleaved between the two catalytic residues, Glu35 which functions as a general acid/base and Asp52 as a nucleophile. 4,5 This retaining mechanism has been verified by neutron structure analyses on HEWL from the viewpoint of the protonation states of the catalytic residues. 6,7 In contrast to HEWL, T4 phage lysozyme (T4L) is an inverting enzyme, and is classified in the subfamily GH24v (for the viral type). 3,8 In spite of the almost entirely different amino-acid sequences between T4L and HEWL, their three-dimensional structures share a similar two-domain folding pattern (Fig. 1). 9 The highly conserved element within the active site is the glutamic acid residue Glu11 corresponding to Glu35 in HEWL. The position of the nucleophilic Asp52 residue in HEWL is occupied by Thr26 in T4L rather than the acidic residue Asp20, understandably because of its different hydrolysis mechanism. In the case of inverting enzymes, a general base residue abstracts a proton from a water located at the a-side of the anomeric sugar carbon, accompanying with a general acid assistance for the sugar departure, in which the enzyme cleaves the scissile glycosidic bond in a single step. 5 Previously, we reported that the substitution of Thr26 in T4L with a nucleophilic histidine residue causes the hydrolytic product to change from the ato b-anomeric configuration. This clearly suggests that there is a change in the mechanism of hydrolysis. 10,11 Further structure-based mutageneses and biochemical analyses showed that the T26H mutant is indeed a retaining enzyme that employs a double displacement mechanism, in which the imidazole ring of His26 acts as a nucleophile, leading to a covalent adduct intermediate. Subsequently, a water molecule deprotonated by Glu11 attacks the anomeric carbon of bound substrate from its equatorial direction (Supporting Information Fig. S1). It implies that the carboxyl group of Glu11 can acquire an anionic form to polarize the attacking water during the hydrolysis. In contrast, in the wild type (WT) enzyme, Glu11 functions as a general acid catalyst. Furthermore, the substitution of Thr26 by histidine in T4L not only induces the dramatic change in the hydrolysis mechanism but also facilitates transglycosylation more effectively than hydrolysis. In contrast, WT T4L has no transglycosidase activity whatever.
Here, to gain insight into the roles of Glu11 and His26 in the catalytic activities of the T26H mutant, we determined its neutron structure. The perdeuterated recombinant protein was prepared using a commercial deuterated culture media, and was used for crystallization. 12,13 The neutron structure of the perdeuterated T26H mutant has been determined at 2.09 Å -resolution at room temperature using a crystal with a volume of less than 0.9 mm 3 . Indeed, the perdeuteration made it possible to reduce the crystal size and to shorten the data collection time, and still allow the visualization of protonation and hydration sites throughout the enzyme. 12,14 To complement the interpretation of the protonation states identified from the nuclear-density maps, the high-resolution structure of the same perdeuterated protein was also determined by X-ray crystallography at 1.04-Å resolution under cryogenic conditions.

Neutron structure determination of the T26H mutant
The neutron diffraction data were collected by the quasi-Laue technique at room temperature. 15 The neutron structure of T26H at 2.09-Å resolution was determined by the joint X-ray/neutron (X/N) refinement using X-ray diffraction data from the same crystal which diffracted to 1.65-Å resolution at room temperature (Supporting Information Table SI). The final coordinates are comprised of 3,018 protein atoms including 1,529 deuterium atoms. The mean isotropic B-factor values of the T26H mutant are 39.4 Å 2 for the whole constituent atoms, 34.2 Å 2 for the main-chain atoms, and 41.1 Å 2 for the side-chain atoms. One sodium ion and three chloride ions were identified based on their interatomic distances to surrounding atoms. A total of 86 heavy water molecules were assigned through the refinement of X-ray data. Of these 56 waters were interpreted as full D 2 O molecules by the apparent nuclear-density distributions for deuterium, and other two molecules were modelled as singly deuterated oxygen species due to the partial lack of nuclear densities. The remaining 28 waters did not show any residual nuclear densities and were assigned as single oxygen atoms.
The overall structure of the perdeuterated T26H mutant was nearly identical to that of the nondeuterated T26H (PDB ID: 1QT8) previously determined by X-ray crystallography. 11 The root-meansquare deviation (rmsd) of the 144 Ca atoms was 0.20 Å and that of all the atoms was 0.64 Å , indicating that the protein deuteration did not cause any significant changes on its overall structure. Also, the side-chain conformations were almost identical. The structure of the T26H mutant is similar to WT with an N-and C-domain (Fig. 1). 16 An active site cleft for hydrolysis is formed between the two domains, which is rich in hydrophilic residues and filled with solvent. The catalytic residue Glu11, acting as a general acid in the inverting reaction by WT, is located at the bottom of the cleft, and the Asp20 and His26 residues from the N-domain are arranged opposite to Glu11 in the cleft.

Protonation states of acidic and basic amino acids
The T26H mutant contains 18 acidic residues (ten Asp and eight Glu) and 28 basic residues (13 Arg, 13 Lys, and two His). Since the crystal was grown in the presence of a high concentration of sodiumpotassium phosphate at pD 7.0, it was assumed in the starting model for the joint X/N refinement, that all of the acidic residues were deprotonated and all of the basic residues were protonated. However, a strong peak was observed around the carboxyl group of Asp20 in a F o 2 F c deuterium (D)-omit nucleardensity map, indicating that this residue is in its protonated form [ Fig. 2(A)]. The Asp20 side-chain with a mean B-factor of 40.8 Å 2 is located in the active site cleft, and its carboxyl Od1 atom forms hydrogen bonds with the main-chain amides of Glu22 and Tyr24. The other carboxyl Od2 atom, assigned to be protonated, is exposed to the bulk solvent and interacts with a water molecule at a hydrogen bonding distance of 2.1 Å .
The two histidine residues, His26 located in the active site cleft and His31 near the end of the cleft, differ in their protonation states. An apparent F o 2 F c peak corresponding to a deuterium atom bound to the Nd1 nitrogen was observed besides the peaks for deuterium atoms bound to the CE1 and Cd2 carbons, indicating that the His26 side-chain is singly protonated, corresponding to the neutral form of the imidazole ring [ Fig. 2(A)]. The B-factor for the imidazole ring of His26, including the deuterium atoms, is 34.6 Å 2 . The Nd1 nitrogen is in a hydrogen bonding distance with the main-chain carbonyl group of Tyr24. The residual electron density near the NE2 atom, at a distance of 2.6 Å , was assigned as a mobile heavy water. The imidazole ring of His26 is located adjacent to the Asp20 side-chain, but there is no specific interaction between them. The second histidine (His31), with a B-factor of 33.0 Å 2 for the imidazole ring, appeared to form a salt bridge with the deprotonated carboxyl group of Asp70 [ Fig. 2(B)]. All four peaks corresponding to the deuterium atoms bound to Nd1, CE1, NE2, and Cd2 of His31 were observed in a F o 2 F c D-omit nuclear-density map, showing that the imidazole ring is in its doubly protonated form.
Interestingly, the guanidine moiety of Arg145 lacks nuclear density for the DE atom when calculating the F o 2 F c D-omit nuclear-density map, indicating that Arg145 adopts its neutral form [ Fig. 3(A)]. No obvious F o 2 F c D-omit peak was found adjacent to the carboxyl group of Glu11 which interacts with the side-chain of   The guanidine moiety was assigned as a protonated guanidinium ion based on its D-omit nuclear-density map.
Arg145 and also forms hydrogen bonds with two heavy water molecules [ Fig. 4(A)]. In contrast, the sigma-A weighted 2F o 2 F c nuclear-density map suggested that the Glu11 side-chain was protonated [ Fig. 4(B)]. The crystallographic occupancy of the carboxyl proton of Glu11 was estimated to be 0.6 so as to have approximately the same B-factor as the carboxyl oxygen OE2 to which the DE2 atom is bound. One of the water-binding sites adjacent to Glu11 shows relatively large density for one water molecule, which was interpreted as a molecule (DOD 4 ) having two different orientations [ Fig.  4(C)]. This water-binding site is surrounded by the sidechain carboxyl OE2 and main-chain carbonyl oxygen of Glu11 in addition to the phenolic hydroxyl group of Tyr18.
No significant peak in a F o 2 F c D-omit nucleardensity was observed close to the carboxyl groups of the remaining acidic residues, and consequently these residues were determined to be deprotonated. While the nuclear-density maps at 2.09-Å resolution made it possible to detect the protonated forms of the residues described above, it was difficult to verify the protonation states of lysines due to their flexibility. Only Lys48 and Lys124, having relatively low side-chain B-factors (39.1 Å 2 and 37.9 Å 2 , respectively), were unambiguously assigned as positively charged protonated forms (data not shown). Visualizing the protonation states of arginines was also limited to the residues with relatively low B-factors, namely Arg95 (30.1 Å 2 ), Arg145 (33.2 Å 2 ) and The sigma-A 2F o -F c nuclear-density map (magenta) contoured at 1.0 r suggests the protonated form of Glu11, in which its crystallographic occupancy was estimated to be 0.6. (C) Nuclear-density map for DOD 4 interacting with Glu11. The 2F o -F c electron-density map (deep blue) for a heavy water (DOD 4 ) interacting with Glu11 is contoured at 1.5 r, and the F o -F c D-omit nuclear-density map (green) is contoured at 3.2 r. This water-binding site was assigned as a mixed state with two different orientations. Their relative occupancies are indicated in parentheses.
Arg148 (33.7 Å 2 ). Comparing each of the F o 2 F c D-omit nuclear-density maps, the lack of a peak for deuterium at the NE position was observed only for Arg145 (Fig. 3). The guanidine moiety of this arginine forms a hydrogen bond with the carboxyamide Od1 oxygen of Asn101 in addition to the carbonyl OE1 oxygen of Glu11 [ Fig. 4(A)].
High-resolution X-ray structure of the T26H mutant A high-resolution X-ray structure of the perdeuterated T26H mutant was determined to complement the interpretation of the protonation states identified in the neutron structure analysis. The crystal structure was refined against diffraction data at 1.04-Å resolution and converged to the R work /R free values of 15.9/19.3%. To deduce the respective CAO bond lengths for the carboxyl group of aspartic and glutamic acid, a conjugate-gradient least-squares (CGLS) refinement was performed that removed all geometrical restraints on the bond lengths and angles for the carboxyl moiety. The geometrical restraints for the imidazole group of histidine were also removed. The CAO bond lengths for the carboxyl group and the stereochemical parameters for the imidazole ring are listed in Table I and Table II, respectively.
The CAO bond lengths are generally known to be 1.256 Å for the delocalized bonds in the carboxylate form, and to be 1.210 Å for the C@O bond and 1.310 Å for the CAOH bond, respectively, in the protonated carboxyl form, although these lengths can be influenced by the surrounding environment. 17,18 A significant difference between the CAO bond lengths was found for Asp20, but not for any other such residues in the protein (Table I). The data clearly suggests that Asp20 has a protonated carboxyl group. The difference between the CAO bond lengths (1.264 Å and 1.294 Å ) for Glu11 might be insufficient to discriminate between each protonation state, but the longer length is most comparable with the ideal value for a CAOH bond. It presumably implies that both the protonated and deprotonated forms of Glu11 occur in the crystal, resulting in somewhat unequal CAO bond lengths. Indeed, the observed bond lengths for Glu11 correspond well with those for a partially protonated Asp residue in human chitotriosidase. 19 Hydrogen atoms bound to either or both of the two nitrogen atoms, Nd1 and NE2, of an imidazole ring can slightly affect the geometry of the fivemembered system. 17,20 If both nitrogen atoms are protonated, each bond length between CE1 and its nitrogen neighbors is shortened compared to that of the singly protonated forms because the bonds gain partial double-bond characteristics. Furthermore, their endocyclic angles at the Nd1 and NE2 atoms become similar and larger by more than 18 compared to those of the singly protonated imidazole, in which the ideal ANd1A angle is proposed as 109.38, and the ANE2A angle is 108.98 (Table II). The bond lengths of CE1ANd1 and CE1ANE2 in His31 are shorter than those of His26, and the angles at the Nd1 and NE2 atoms of His31 are larger than those of His26, suggesting that the protonation state of His31 is different from that of His26. Considering that the calculated angles at the Nd1 and NE2 atoms of His31 are in good agreement with the respective ideal values, the residue can be inferred to be in the doubly protonated form, as also observed in the neutron structure. Similarly, the calculated angles at the Nd1 and NE2 atoms of His26 are enough close to the ideal values of 108.18 and 105.38, respectively, for the Nd1 singly protonated form of imidazole, Recently, molecular guanidine was crystallized, and the respective CAN bonds were evaluated based on the neutron and X-ray structures which showed that the C@NH bond was ca. 0.06 Å shorter than the CANH 2 bond. 21 Since the positive charge of the guanidinium ion can be delocalized over the three nitrogen atoms, the respective CAN bond lengths would be similar to each other. When applying an unrestrained refinement to the guanidine moiety of Arg145 in the T26H mutant, the CAN bonds were estimated as 1.282(19) Å for CfANE, 1.348(20) Å for CfANh1, and 1.344(15) Å for CfANh2. Thus, the obtained geometrical parameters strongly support the existence of the neutral form of Arg145 as identified in the neutron structure, because when the deprotonation occurs at the NE atom of guanidine, one double bond is formed between the Cf and NE atoms in the guanidine group.

Discussion
The neutron structure at 2.09-Å resolution allowed the determination of the protonation states of the catalytic residues located in the active site cleft.
These observations were fully compatible with the bond lengths determined in an unrestrained refinement of the high-resolution X-ray structure. Previously, we reported that the substitution of Thr26 in the active site to a glutamic acid converts WT into an inactive enzyme. In the crystal structure of the T26E mutant, it was found that its hydrolyzed product, composed of a NAM-NAG disaccharide with a peptidic fragment, was trapped by forming a covalent bond between the C-1 anomeric carbon of NAM and the carboxyl oxygen of Glu26. 9 From the structural comparison with WT, it was concluded that the anionic carboxyl group of Glu26 nucleophilically attacked the C-1 carbon from the a-side, as is the case with the attacking water in the inverting hydrolysis by WT. Accordingly, the His26 residue in the T26H mutant was also presumed to adopt its nucleophilic deprotonated form for the first step of the retaining reaction (Supporting Information Fig.  S1). 11 In the present neutron structure analysis of the T26H mutant, the catalytic His26 residue was identified as a singly protonated form. When the active site cleft of T26H is superimposed on that of the T26E-adduct complex, the NE2 atom of His26 is 2.7 Å away from the C-1 carbon of NAM (Fig. 5), supporting that His26 can act as a nucleophile for hydrolysis (Scheme 1, right). The protonated form of the Asp20 side-chain was also observed, but its carboxyl group does not directly interact with the adjacent imidazole group of His26 presumably due to their respective neutral forms. This observation is in good agreement with the result of mutational analyses in which it was found that Asp20 plays a less important role in hydrolysis by T26H. 11 In general, the retaining hydrolysis mechanism catalyzed by GHs is considered to be achieved through a double displacement mechanism involving two steps: a glycosylation and deglycosylation step (Supporting Information Fig. S1). 5 In the first step, the enzyme is glycosylated by the concerted action of a general acid/base and nucleophile residue, Glu11 and His26 in the T26H mutant, that are arranged on opposite sides of the active site cleft. Concomitantly with the donation of a proton to the bound substrate from the general acid/base catalyst, the nucleophile attacks the anomeric carbon at the oxocarbenium ion-like transition state, leading to the formation of a covalently linked glycosyl-enzyme intermediate. Therefore, the general acid/base residue must adopt its protonated form for initiating the first step when the substrate approaches to the active site cleft, even though the pK a value for the carboxyl group is assumed to be around 4 in neutral solution.
In this neutron and high-resolution X-ray structure analysis of T26H, the Glu11 side-chain was identified as having two forms, the neutral and anionic forms, suggesting that the pK a value of the carboxyl group was increased to a near neutral value because the crystal was grown at pD 7.0 [ Fig. 4(A)]. Considering that the acidity of Glu11 can be more weakened by the interaction with neutral functional groups than with positively charged groups, it is chemically consistent that the guanidine moiety of Arg145 interacting with the Glu11 sidechain predominantly adopts its neutral form. However, it was recently reported that arginine side-chains are invariably protonated under physiological conditions of near neutral pH due to their high pK a values. 22 The finding that Arg145 in T26H is apparently uncharged, would be highly unusual, although the Nh1 deprotonated Arg adjacent to the chromophore was observed in the neutron structure of photoactive yellow protein. 23,24 Presumably, the enzyme has a proton transfer pathway through the Asn101 side-chain that allows for efficient extraction of protons from the NE nitrogen of Arg145, but it has not been clarified yet. The remaining negative charge from the deprotonated carboxyl group of Glu11 could be compensated by some cation. One of the water-binding sites adjacent to Glu11 was occupied by a DOD 4 molecule, modelled in two different orientations. However, its trigonal-pyramidal shaped nuclear density can also be assigned as the equilibrium state between a water and a hydronium ion, 25 although it is difficult to definitely identify this in a 2.09-Å resolution map [ Fig.  4(C)]. Based on this observation, we suggest that the proton to be used for the protonation of Glu11 would be supplied by the hydronium ion (Scheme 1, left). Such proton transfer was also proposed for xylanase, a GH family 11 member. 26 The resulting water molecule can be released to the bulk solvent when the substrate approaches to the active site cleft since it occupies a part of the subsite.
Some characteristic mechanisms for controlling the protonation states of the general acid or acid/ base catalyst in GHs have been revealed by earlier neutron crystallographic studies. In endoglucanase of GH45, the general acid Asp114 is connected to the general base Asn92 located on the opposite side via side-chain hydrogen bonds. 27 When the Nd2 nitrogen of the imidic acid form of Asn92 extracts a proton from the attacking water, the proton is immediately transferred to the scissile glycosidic bond of substrate through the hydrogen bond network. Meanwhile, in xylanase of GH11, the general acid/base Glu177 receives a proton from the bulk solvent by altering its side-chain conformation which enables to increase the pK a value of Glu177. 26 In the present neutron structure analysis of T26H, we found that the Arg145 residue interacting with Glu11 can play an important role in the protonation of the general acid/base in the retaining hydrolysis [ Fig. 4(A)]. The neutral form of Arg145 facilitates the protonation of Glu11 by increasing the pK a value of the carboxyl group. Interestingly, the combination of the general acid residue and an arginine residue in the active Scheme 1. Proposed initial step of hydrolysis by the T26H mutant. To gain the ability to act as a proton donor in the initial step, the anionic carboxyl group of Glu11 extracts a proton from an adjacent hydronium ion and generates a water molecule. The protonation of Glu11 was partially induced even under neutral conditions in this study, presumably because the neutral guanidine moiety of Arg145 can serve to reduce the acidity of the carboxyl group of Glu11. After substrate binding, the singly protonated His26 nucleophilically attacks the anomeric carbon of bound substrate to proceed the hydrolysis via the double displacement mechanism.
site cleft is conserved in other inverting enzymes, chitinase of GH19 and chitosanase of GH46, of the lysozyme superfamily. 3 Since the catalytic Glu11 residue of T26H originally acts as a general acid in the inverting hydrolysis by WT, it should not be surprising that the Glu-Arg pair is not conserved in retaining enzymes of the lysozyme superfamily.
In the deglycosylation step, the second step of hydrolysis, the glycosyl-enzyme intermediate suffers from hydrolytic cleavage at its linkage. The anionic carboxyl group that functioned as an acid catalyst in the first step acts as a base next by abstracting a proton from the incoming nucleophile, usually a water molecule (Supporting Information Fig. S1). When another disaccharide donor substrate approaches to the catalytic base instead of the water, the hydroxyl group of disaccharide is deprotonated and attacks the glycosyl-enzyme linkage, leading to transglycosylation. The yields for transglycosylation are generally low because the glycosylated product itself can suffer from hydrolysis. From the structural comparison with the T26E mutant-adduct complex, it is estimated that the C-1 carbon of NAM is 4.6 Å away from the DOD 4 oxygen, which could be a relatively long distance to attack the anomeric carbon (Fig. 5). 11 The attacking water molecule may not be located at an optimum position for hydrolysis because the T26H mutant is an artificial retaining enzyme. It is difficult to deduce which water molecule can function as an attacking water from this neutron structure analysis due to its substrate-free form. Further neutron structure analysis of the T26H-substrate/product complex would be of interest to reveal how the protonation states of catalytic residues are affected by substrate/product binding and how the transglycosylation proceeds.

Protein expression and purification
The perdeuterated form of the T26H mutant was prepared using Escherichia coli BL21(DE3) cells (Novagen). 12,28 The cells grown at 310 K in a BioExpress deuterated medium (U-D, 98%; Cambridge Isotope Laboratories) which was diluted with heavy water (D 2 O, 99.9%; Cambridge Isotope Laboratories) were induced with 1 mM isopropyl-b-D-galactoside for 6 h. After harvesting the cells, they were disrupted by sonication, and the overexpressed product was purified following procedures described previously. 12 Approximately 35 mg of purified protein was obtained from a 1-L bacterial culture. The deuteration level of the purified sample was evaluated by measuring its molecular weight, using a 4800 Plus MALDI TOF/ TOF Analyzer (Applied Biosystems), and a greater than 99% deuteration level was achieved under the conditions employed here. The purified protein was concentrated to approximately 40 mg mL 21 in 20 mM sodium phosphate buffer (pD 7.5) prepared with D 2 O.

Crystallization and data collection
To obtain larger single crystals, the reported condition 12 was optimized by varying the concentrations of both the precipitant (sodium-potassium phosphate) and the additive reagent (1,6-hexanediol). After mixing equal volumes of the protein solution and the reservoir composed of 1.6 M sodium-potassium phosphate (pD 7.0), 0.1 M NaCl, and 0.2 M 1,6-hexanediol in D 2 O, 60 lL of the total mixture was equilibrated against 2 mL of the reservoir at 293 K. A relatively large crystal with a truncated cubic shape was grown up to 1.5 3 1.5 3 0.4 mm in size within a month.
The T26H mutant crystal with a volume of less than 0.9 mm 3 was enclosed in a quartz capillary with a diameter of 2 mm for a neutron diffraction experiment at room temperature. The full neutron data set was collected using the quasi-Laue technique on the IMAGINE instrument installed at the High Flux Isotope Reactor (HFIR), the Oak Ridge National Laboratory (ORNL), with a narrow-bandpass of 3.3-4.5 Å (k peak 3.9 Å , dk/k 30%) that delivers 4.6 3 10 7 neutrons cm 22 s 21 at the sample position. 15 The quasi-Laue images were measured from two crystal orientations to help fill the blind region and increase the completeness. A total of 10 images, with 19 h exposure each, were collected in less than eight days. The full neutron data set was indexed and integrated using LAUEGEN 29,30 from the CCP4 suite, 31 and wavelength-normalized to account for the spectral distribution of the quasi-Laue beam using LSCALE. 32 Scaling and merging of the data set was performed using SCALA. 31 The statistics for data collection are given in Supporting Information Table SI. Neutron structure determination by joint X/N refinement A full X-ray data set was collected from the same crystal used in the neutron diffraction experiment. The X-ray diffraction images were measured at room temperature at the beamline BL26B1 at SPring-8 (Harima, Japan), processed and scaled using the HKL2000 software package. 33 The crystal with the cell dimensions of a 5 b 5 61.23 Å and c 5 96.79 Å was sufficiently isomorphous to the neutron diffraction data, which was used for the refinement procedure. The X-ray crystal structure was determined first with the PHENIX software package 34 using the coordinates of the T26H mutant (PDB ID: 1QT8) as a starting model for molecular replacement. After several rounds of iterative manual rebuilding of the protein coordinates, ligand molecules and metal ions were interpreted based on 2F o -F c and F o -F c electron-density maps. Model building and water picking were manually performed with COOT. 35 Using this X-ray structure as a starting model, a joint X/N refinement was performed with the phenix.refine program 36 in PHENIX. The R free flags were generated to be consistent with both the X-ray and neutron data sets. After an initial rigid-body minimization, deuterium atoms were added to the protein model, except for solvent molecules. The maximum-likelihood-based refinement of individual coordinates was then performed for several cycles, followed by the respective refinements of isotropic displacement parameters and occupancies for alternative conformations. At this point, deuterium atoms for D 2 O were generated according to their positive peaks on a F o 2 F c nuclear-density map, with manual adjustment of the coordinates. The bond lengths and angles of deuterium atoms were refined as individual atoms with isotropic displacement parameters. The protonated forms of dissociative functional groups were identified by inspection of the F o 2 F c nuclear-density maps. The final coordinates were refined to the R work / R free values of 22.5/27.8% for the neutron structure and of 15.5/18.5% for the X-ray structure. Finally, PROCHECK 37 was employed to evaluate the final molecular coordinates. The final refinement statistics are summarized in Supporting Information Table SI.

Determination of high-resolution X-ray structure
The T26H mutant crystals, grown under the identical condition described above, were soaked in a cryoprotectant solution containing 30% (w/v) glucose in addition to the reservoir compositions. X-ray diffraction data were collected under a stream of gaseous nitrogen at 100 K at the beamline BL5A at Photon Factory (Tsukuba, Japan). The data set was processed and scaled using the HKL2000 software package. 33 The structure determination with the PHENIX software package 34 was initiated by a rigid-body refinement using the initial molecular-replacement model. After several cycles of the refinements for individual coordinates and isotropic displacement parameters using SHELXL, 38 in which the resolution range was limited from 20 Å to 1.2 Å , metal ions and ordered water molecules were manually incorporated to the model by COOT. 35 Anisotropic displacement parameters for the protein model were then refined over the whole resolution range. The restraints of bond lengths and angles for the carboxyl and imidazole groups of protein were excluded in the next CGLS refinement. To converge their geometrical parameters to reasonable values, the unrestrained calculation was limited to the residues those were assigned as single conformations and with lower B-factors below 17 Å 2 , as otherwise their coordinates were disordered during the unrestrained refinement. The estimated standard deviations for the bond lengths and angles were derived from one cycle of the full-matrix least-squares refinement. The statistics for data collection and structure refinement is given in Supporting Information Table SI. All graphic images of molecular structure were generated using PyMOL (The PyMOL molecular graphics system, version 1.7. Schr€ odinger, LLC).

Accession Numbers
The atomic coordinates of the perdeuterated T26H mutant have been deposited in the RCSB Protein Data Bank (PDB) under accession codes 5XPE for the neutron structure and 5XPF for the highresolution X-ray structure.