organic compounds
Carnosinium bromide
aDepartment of Chemistry, University of Aberdeen, Meston Walk, Aberdeen AB24 3UE, Scotland, United Kingdom
*Correspondence e-mail: [email protected]
The title salt, C9H15N4O3+·Br− [systematic name: 5-[(2S)-2-(3-azaniumylpropanamido)-2-carboxylatoethyl]-1H-imidazol-3-ium bromide], contains four cations and four anions in the asymmetric unit. The dipeptide is a 'cationic zwitterion' with two localized positive charges and one delocalized negative charge. Two of the cations adopt an anti conformation for the non-hydrogen atoms of the –C(=O)—CH2—CH2—NH3+ grouping and two adopt a gauche conformation. In the extended structure, numerous N—H⋯O, N—H⋯(O,O) and N—H⋯Br hydrogen bonds link the components into (010) sheets and the structure is consolidated by weak C—H⋯O and C—H⋯Br interactions.
Keywords: crystal structure; carnosine; dipeptide; salt.
CCDC reference: 2573338
Structure description
Carnosine [β-alanyl-L-histidine; C9H14N4O3; systematic name (2S)-2-(3-aminopropanamido)-3-(3H-imidazol-4-yl)propanoic acid] is a naturally occurring dipeptide made up from β-alanine and histidine, which occurs in the muscle and brain tissue of higher animals (Jukić et al., 2021
). The crystal structure of carnosine (Barrans et al., 1976
) with Cambridge Structural Database (Groom et al., 2016
) refcode BALHIS shows it to occur as a zwitterion (nominal proton transfer from the histidine carboxylic acid group to the β-alanine terminal –NH2 group) in the solid state. The crystal structures of several salts of carnosine with natural (di)carboxylic acids were reported by Shemchuk et al. (2017
), including carnosinium glycolate, C9H15N4O3+·C2H3O3− (HAXYEN), carnosinium salicylate monohydrate, C9H15N4O3+·C7H5O3−·H2O (HAXXEM) and carnosinium hydrogen azelate, C9H15N4O3+·C9H15O4− (HAXYAJ). As part of our studies in this area, we now describe the synthesis and structure of the title salt, C9H15N4O3+·Br− (I), also called carnosine hydrobromide. The chloride salt, C9H15N4O3+·Cl−, is probably isostuctural with (I) but unresolvable twinning precluded detailed structural analysis.
The asymmetric-unit of (I), which crystallizes in the monoclinic space group P21 with β ≃ 90°, contains four C9H15N4O3+ cations and four bromide anions. Equivalent atoms in the cations have been assigned the suffixes A, B, C and D (Fig. 1
). For each cation, which might be described as a 'cationic zwitterion,' a formal positive charge resides on the terminal alanyl –N4H3+ moiety and the N2H+ grouping of the imidazolinium ring and a net negative charge is delocalized over the histidine –C6/O1/O2 carboxylate group (see scheme).
| | Figure 1 The A-suffix cation in the asymmetric unit of (I) showing 50% displacement ellipsoids. |
The of (I) is well defined based on refinement of the Flack absolute structure parameter (Parsons et al., 2013
) to −0.028 (5) and, as expected for L-carnosine, the stereogenic (chiral) carbon atom C5 from the histidine residue has an S configuration in each cation (there is no stereogenic centre in a β-amino acid). An overlay plot (Fig. 2
) generated with Qmol (Gans & Shalloway, 2001
) shows that the cations have similar but not identical conformations with the major difference being the relative orientations of atoms C7 and N4 about the C8—C9 bond of the β-alanyl chain, being gauche for the A [torsion angle = 69.9 (8)°] and D [68.2 (8)°] cations and anti for B [174.7 (6)°] and C [176.5 (5)°]. The dihedral angles between the C6/O1/O2 carboxylate group and the C1–C3/N1/N2 imidazole ring plane are 50.1 (6), 55.4 (6), 55.7 (6) and 50.0 (6)° for cations A, B, C and D, respectively, suggesting some correlation with the different torsion angles mentioned in the previous sentence. The C2—N2—C3 bond angle in the imidazole ring at the protonated N atom (mean value for the four cations = 109.3°) is expanded by about 4° in (I) compared to the equivalent unprotonated bond angle in carnosine (Barrans et al., 1976
). Otherwise, the geometric data for the four cations in (I) are unexceptional and broadly similar to each other; selected torsion angles for these and some related structures are presented in Table 1
.
|
| | Figure 2 Overlay plot of the four distinct cations in (I): A red, B blue, C green and D purple. |
These data show that the C9H14N4O3 neutral zwitterion and the C9H15N4O3+ cationic zwitterion can adopt distinctly different conformations in the solid state, presumably to optimize the packing. For the ions listed, five show an anti conformation for the C7—C8—C9—N4 grouping (our atom labels) and four are gauche and it may be noted that one of the two distinct cations in HAXYAJ has a gauche conformation and the other is anti. The C4—C5 bond shows even more conformational flexibility in the solid-state, with C1 being anti to N3, C6 or even H5 in different structures. The conformational flexibility of carnosine in aqueous solution has been studied by spectroscopic methods (Barrans et al., 1976
).
In the extended structure of (I), numerous N—H⋯O, N—H⋯(O,O) and N—H⋯Br hydrogen bonds (Table 2
) link the components into (010) sheets (Fig. 3
). For each cation, the N1H and N2H+ moieties of the imidazole ring form N—H⋯Br hydrogen bonds, which lie on the outer surfaces of the sheets, while the amide N3H grouping and the protonated terminal –N4H3+ group participate in N—H⋯O or bifurcated N—H⋯(O,O) hydrogen bonds. Considered by themselves, the former bonds generate [001] chains, while the connectivity of the latter is two-dimensional. Many weak C—H⋯Br and C—H⋯O links are also present - some of these reinforce the (010) sheets and others link them into a three-dimensional supramolecular network.
|
| Figure 3 The unit-cell packing in (I) viewed approximately down [100] with hydrogen bonds shown as black dashed lines. Note that the N—H⋯Br hydrogen bonds lie on the outer faces of the (010) sheets. |
Synthesis and crystallization
The title compound was prepared by mixing 1.1 g of L-carnosine, 5 ml of 1.0 M HBr solution and 20 ml of water (carnosine:Br molar ratio ≃ 1:1), which resulted in a colourless solution. The solution was left in a Petri dish at room temperature and colourless rods and blocks of (I) formed as the water evaporated over a few days.
Refinement
Crystal data, data collection and structure details are summarized in Table 3
. The H atoms were located geometrically (N—H = 0.88–0.91 Å, C—H = 0.95–0.99 Å) and refined as riding atoms. The –NH3 groups were allowed to rotate, but not to tip, about the bond to the adjacent C atom to best fit the electron density. The constraint Uiso(H) = 1.2Ueq(carrier) was applied in all cases. RIGU and ISOR cards in SHELXL (Sheldrick, 2015b
) were applied to ensure that the anisotropic displacement parameters for bonded atoms were physically reasonable. The crystal chosen for data collection was found to be twinned, which may correlate with the β angle being very close to 90°. Non-merohedral twin (HKLF 5 in SHELXL) refinements were not successful and a two-component (HKLF 4) pseudo-merohedral twin refinement with a twinning matrix −1 0 0 / 0 − 1 0 / 0 0 1 was preferred but this has led to a poor data completion percentage where some closely overlapping reflections from different domains were excluded. The refined domain ratio is 0.7892 (19): 0.2108 (19).
|
Structural data
CCDC reference: 2573338
contains datablocks I, global. DOI: https://doi.org/10.1107/S2414314626007261/tk4128sup1.cif
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2414314626007261/tk4128Isup2.hkl
| C9H15N4O3+·Br− | F(000) = 1248 |
| Mr = 307.16 | Dx = 1.601 Mg m−3 |
| Monoclinic, P21 | Mo Kα radiation, λ = 0.71073 Å |
| a = 5.46611 (13) Å | Cell parameters from 11802 reflections |
| b = 28.6332 (5) Å | θ = 2.4–29.5° |
| c = 16.2890 (4) Å | µ = 3.23 mm−1 |
| β = 90.012 (2)° | T = 100 K |
| V = 2549.43 (10) Å3 | Block, colourless |
| Z = 8 | 0.19 × 0.05 × 0.04 mm |
| Rigaku CCD diffractometer | 7858 independent reflections |
| Radiation source: fine-focus sealed X-ray tube | 7654 reflections with I > 2σ(I) |
| Graphite monochromator | Rint = 0.019 |
| ω scans | θmax = 27.5°, θmin = 2.5° |
| Absorption correction: multi-scan (CrysAlisPro; Rigaku OD, 2015) | h = −7→7 |
| Tmin = 0.791, Tmax = 1.000 | k = −37→36 |
| 18071 measured reflections | l = −20→21 |
| Refinement on F2 | Hydrogen site location: inferred from neighbouring sites |
| Least-squares matrix: full | H-atom parameters constrained |
| R[F2 > 2σ(F2)] = 0.035 | w = 1/[σ2(Fo2) + (0.0529P)2 + 3.5341P] where P = (Fo2 + 2Fc2)/3 |
| wR(F2) = 0.092 | (Δ/σ)max = 0.001 |
| S = 1.06 | Δρmax = 0.85 e Å−3 |
| 7858 reflections | Δρmin = −0.41 e Å−3 |
| 618 parameters | Absolute structure: Flack x determined using 2376 quotients [(I+)-(I-)]/[(I+)+(I-)] (Parsons et al., 2013) |
| 445 restraints | Absolute structure parameter: −0.018 (5) |
| Primary atom site location: structure-invariant direct methods |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
Refinement. Refined as a 2-component twin. |
| x | y | z | Uiso*/Ueq | ||
| C1A | −0.3846 (13) | 0.3281 (2) | −0.0699 (4) | 0.0124 (13) | |
| C2A | −0.0596 (13) | 0.2872 (3) | −0.1059 (5) | 0.0174 (15) | |
| H2A | 0.082943 | 0.268239 | −0.103299 | 0.021* | |
| C3A | −0.3642 (14) | 0.3289 (2) | −0.1533 (5) | 0.0157 (15) | |
| H3A | −0.470595 | 0.344238 | −0.190686 | 0.019* | |
| C4A | −0.5716 (13) | 0.3490 (2) | −0.0142 (5) | 0.0149 (15) | |
| H4A1 | −0.636412 | 0.324211 | 0.022169 | 0.018* | |
| H4A2 | −0.709365 | 0.360817 | −0.047756 | 0.018* | |
| C5A | −0.4734 (13) | 0.3892 (2) | 0.0394 (4) | 0.0137 (14) | |
| H5A | −0.353554 | 0.377286 | 0.080723 | 0.016* | |
| C6A | −0.3513 (13) | 0.4250 (2) | −0.0182 (4) | 0.0116 (12) | |
| C7A | −0.6965 (13) | 0.4198 (2) | 0.1600 (4) | 0.0146 (13) | |
| C8A | −0.9305 (14) | 0.4446 (3) | 0.1870 (4) | 0.0182 (14) | |
| H8A1 | −0.907562 | 0.478773 | 0.181602 | 0.022* | |
| H8A2 | −1.066138 | 0.435311 | 0.150213 | 0.022* | |
| C9A | −0.9999 (14) | 0.4332 (2) | 0.2756 (4) | 0.0188 (15) | |
| H9A1 | −1.167253 | 0.444823 | 0.286585 | 0.023* | |
| H9A2 | −1.000967 | 0.398846 | 0.282924 | 0.023* | |
| N1A | −0.1897 (11) | 0.3016 (2) | −0.0417 (4) | 0.0139 (12) | |
| H1A | −0.157361 | 0.295366 | 0.010027 | 0.017* | |
| N2A | −0.1589 (12) | 0.3031 (2) | −0.1729 (4) | 0.0193 (14) | |
| H2A1 | −0.103855 | 0.298192 | −0.222880 | 0.023* | |
| N3A | −0.6839 (11) | 0.41061 (19) | 0.0801 (4) | 0.0143 (12) | |
| H3A1 | −0.811156 | 0.417885 | 0.049550 | 0.017* | |
| N4A | −0.8298 (10) | 0.45406 (18) | 0.3346 (3) | 0.0151 (12) | |
| H4A3 | −0.871740 | 0.445109 | 0.386372 | 0.023* | |
| H4A4 | −0.837230 | 0.485733 | 0.330795 | 0.023* | |
| H4A5 | −0.674946 | 0.444306 | 0.323460 | 0.023* | |
| O1A | −0.1215 (10) | 0.42585 (18) | −0.0190 (3) | 0.0182 (11) | |
| O2A | −0.4879 (9) | 0.44842 (16) | −0.0632 (3) | 0.0151 (10) | |
| O3A | −0.5306 (10) | 0.41137 (18) | 0.2094 (3) | 0.0213 (11) | |
| C1B | 0.6602 (13) | 0.3296 (2) | 0.4277 (4) | 0.0133 (14) | |
| C2B | 0.6724 (15) | 0.3285 (2) | 0.3448 (5) | 0.0183 (15) | |
| H2B | 0.562893 | 0.343211 | 0.307660 | 0.022* | |
| C3B | 0.9825 (14) | 0.2865 (3) | 0.3922 (5) | 0.0197 (16) | |
| H3B | 1.123696 | 0.267263 | 0.395021 | 0.024* | |
| C4B | 0.4841 (13) | 0.3530 (2) | 0.4843 (4) | 0.0136 (14) | |
| H4B1 | 0.412884 | 0.329230 | 0.521459 | 0.016* | |
| H4B2 | 0.348939 | 0.366524 | 0.451570 | 0.016* | |
| C5B | 0.6031 (13) | 0.3920 (2) | 0.5365 (4) | 0.0124 (13) | |
| H5B | 0.720376 | 0.377801 | 0.576377 | 0.015* | |
| C6B | 0.7416 (12) | 0.4265 (2) | 0.4802 (4) | 0.0108 (12) | |
| C7B | 0.4260 (12) | 0.4256 (2) | 0.6605 (4) | 0.0132 (12) | |
| C8B | 0.1993 (14) | 0.4486 (2) | 0.6962 (4) | 0.0170 (15) | |
| H8B1 | 0.226562 | 0.482655 | 0.701378 | 0.020* | |
| H8B2 | 0.058520 | 0.443594 | 0.658944 | 0.020* | |
| C9B | 0.1433 (13) | 0.4279 (2) | 0.7799 (4) | 0.0161 (14) | |
| H9B1 | 0.101691 | 0.394475 | 0.773782 | 0.019* | |
| H9B2 | 0.290168 | 0.430251 | 0.815254 | 0.019* | |
| N1B | 0.8549 (11) | 0.3035 (2) | 0.4558 (4) | 0.0153 (12) | |
| H1B | 0.890076 | 0.298643 | 0.507852 | 0.018* | |
| N2B | 0.8732 (12) | 0.3020 (2) | 0.3245 (4) | 0.0191 (13) | |
| H2B1 | 0.922244 | 0.296079 | 0.274052 | 0.023* | |
| N3B | 0.4064 (11) | 0.41495 (19) | 0.5812 (4) | 0.0132 (11) | |
| H3B1 | 0.270436 | 0.421988 | 0.555051 | 0.016* | |
| N4B | −0.0610 (11) | 0.45244 (19) | 0.8192 (4) | 0.0168 (13) | |
| H4B3 | −0.084777 | 0.440727 | 0.870501 | 0.025* | |
| H4B4 | −0.199126 | 0.448348 | 0.788818 | 0.025* | |
| H4B5 | −0.025994 | 0.483447 | 0.822605 | 0.025* | |
| O1B | 0.9666 (9) | 0.42784 (18) | 0.4835 (3) | 0.0192 (11) | |
| O2B | 0.6074 (9) | 0.45059 (16) | 0.4326 (3) | 0.0165 (10) | |
| O3B | 0.6095 (10) | 0.41818 (19) | 0.7023 (3) | 0.0242 (12) | |
| C1C | 0.1463 (13) | 0.6691 (2) | 0.3195 (4) | 0.0128 (13) | |
| C2C | 0.1565 (13) | 0.6706 (2) | 0.4018 (5) | 0.0141 (14) | |
| H2C | 0.047334 | 0.655617 | 0.438715 | 0.017* | |
| C3C | 0.4622 (15) | 0.7138 (2) | 0.3545 (5) | 0.0213 (17) | |
| H3C | 0.600378 | 0.733847 | 0.351904 | 0.026* | |
| C4C | −0.0249 (14) | 0.6453 (2) | 0.2634 (4) | 0.0153 (14) | |
| H4C1 | −0.098117 | 0.668765 | 0.226096 | 0.018* | |
| H4C2 | −0.158958 | 0.631385 | 0.296104 | 0.018* | |
| C5C | 0.0961 (13) | 0.6068 (2) | 0.2117 (4) | 0.0123 (13) | |
| H5C | 0.213853 | 0.621079 | 0.171984 | 0.015* | |
| C6C | 0.2323 (12) | 0.5721 (2) | 0.2681 (4) | 0.0122 (12) | |
| C7C | −0.0780 (14) | 0.5710 (2) | 0.0880 (4) | 0.0164 (13) | |
| C8C | −0.2973 (12) | 0.5473 (2) | 0.0521 (4) | 0.0165 (14) | |
| H8C1 | −0.439478 | 0.551611 | 0.088965 | 0.020* | |
| H8C2 | −0.265369 | 0.513438 | 0.046878 | 0.020* | |
| C9C | −0.3547 (13) | 0.5675 (2) | −0.0313 (4) | 0.0166 (14) | |
| H9C1 | −0.395614 | 0.601055 | −0.025275 | 0.020* | |
| H9C2 | −0.208148 | 0.565132 | −0.066711 | 0.020* | |
| N1C | 0.3415 (11) | 0.69653 (19) | 0.2906 (4) | 0.0155 (12) | |
| H1C | 0.377680 | 0.701450 | 0.238707 | 0.019* | |
| N2C | 0.3564 (12) | 0.6981 (2) | 0.4230 (4) | 0.0190 (13) | |
| H2C1 | 0.405214 | 0.704179 | 0.473316 | 0.023* | |
| N3C | −0.0987 (11) | 0.58344 (19) | 0.1671 (4) | 0.0139 (12) | |
| H3C1 | −0.236078 | 0.577190 | 0.193104 | 0.017* | |
| N4C | −0.5595 (11) | 0.5433 (2) | −0.0706 (4) | 0.0163 (12) | |
| H4C3 | −0.574463 | 0.553281 | −0.123423 | 0.024* | |
| H4C4 | −0.699998 | 0.549560 | −0.042776 | 0.024* | |
| H4C5 | −0.531174 | 0.511977 | −0.070125 | 0.024* | |
| O1C | 0.1031 (9) | 0.54835 (16) | 0.3148 (3) | 0.0164 (11) | |
| O2C | 0.4603 (9) | 0.57167 (18) | 0.2645 (3) | 0.0199 (11) | |
| O3C | 0.1097 (10) | 0.57738 (19) | 0.0469 (3) | 0.0266 (13) | |
| C1D | 1.1196 (13) | 0.6667 (2) | 0.8202 (4) | 0.0128 (13) | |
| C2D | 1.1380 (14) | 0.6656 (2) | 0.9031 (5) | 0.0152 (14) | |
| H2D | 1.029951 | 0.650016 | 0.939607 | 0.018* | |
| C3D | 1.4456 (13) | 0.7071 (3) | 0.8575 (4) | 0.0186 (15) | |
| H3D | 1.589908 | 0.725561 | 0.855240 | 0.022* | |
| C4D | 0.9321 (13) | 0.6473 (2) | 0.7643 (4) | 0.0139 (14) | |
| H4D1 | 0.871802 | 0.672581 | 0.728162 | 0.017* | |
| H4D2 | 0.792050 | 0.636108 | 0.797437 | 0.017* | |
| C5D | 1.0255 (13) | 0.6063 (2) | 0.7097 (4) | 0.0137 (13) | |
| H5D | 1.145552 | 0.618184 | 0.668399 | 0.016* | |
| C6D | 1.1492 (13) | 0.5708 (2) | 0.7664 (4) | 0.0119 (12) | |
| C7D | 0.7994 (13) | 0.5780 (2) | 0.5878 (4) | 0.0153 (13) | |
| C8D | 0.5646 (14) | 0.5546 (3) | 0.5606 (4) | 0.0200 (15) | |
| H8D1 | 0.430611 | 0.564434 | 0.597742 | 0.024* | |
| H8D2 | 0.583439 | 0.520389 | 0.565927 | 0.024* | |
| C9D | 0.4929 (14) | 0.5662 (2) | 0.4723 (4) | 0.0202 (15) | |
| H9D1 | 0.326172 | 0.554301 | 0.461277 | 0.024* | |
| H9D2 | 0.490527 | 0.600568 | 0.465047 | 0.024* | |
| N1D | 1.3140 (11) | 0.69293 (19) | 0.7932 (4) | 0.0154 (13) | |
| H1D | 1.346639 | 0.699361 | 0.741551 | 0.019* | |
| N2D | 1.3405 (12) | 0.6911 (2) | 0.9248 (4) | 0.0183 (13) | |
| H2D1 | 1.391867 | 0.695914 | 0.975300 | 0.022* | |
| N3D | 0.8159 (10) | 0.58597 (19) | 0.6684 (4) | 0.0130 (12) | |
| H3D1 | 0.689357 | 0.578279 | 0.698960 | 0.016* | |
| N4D | 0.6663 (10) | 0.54536 (18) | 0.4130 (3) | 0.0136 (11) | |
| H4D3 | 0.621520 | 0.553349 | 0.361033 | 0.020* | |
| H4D4 | 0.664180 | 0.513717 | 0.418170 | 0.020* | |
| H4D5 | 0.819867 | 0.556165 | 0.423240 | 0.020* | |
| O1D | 1.3782 (10) | 0.56976 (17) | 0.7678 (3) | 0.0182 (11) | |
| O2D | 1.0098 (10) | 0.54720 (16) | 0.8113 (3) | 0.0183 (11) | |
| O3D | 0.9634 (9) | 0.58748 (18) | 0.5381 (3) | 0.0203 (11) | |
| Br1 | 1.56379 (13) | 0.70170 (2) | 1.10573 (4) | 0.01930 (16) | |
| Br2 | 1.05535 (14) | 0.29847 (2) | 0.64419 (5) | 0.0199 (2) | |
| Br3 | 0.52414 (14) | 0.70397 (2) | 0.60864 (4) | 0.02070 (17) | |
| Br4 | 1.04519 (14) | 0.29020 (2) | 0.13994 (5) | 0.0208 (2) |
| U11 | U22 | U33 | U12 | U13 | U23 | |
| C1A | 0.016 (3) | 0.009 (3) | 0.012 (3) | −0.003 (2) | −0.002 (3) | −0.001 (2) |
| C2A | 0.016 (3) | 0.016 (3) | 0.021 (4) | −0.004 (3) | −0.001 (3) | −0.007 (3) |
| C3A | 0.023 (4) | 0.011 (3) | 0.013 (3) | −0.001 (3) | −0.001 (3) | −0.001 (2) |
| C4A | 0.016 (3) | 0.012 (3) | 0.017 (4) | −0.003 (2) | 0.006 (3) | −0.003 (2) |
| C5A | 0.020 (3) | 0.010 (3) | 0.011 (3) | 0.001 (2) | 0.000 (3) | −0.001 (2) |
| C6A | 0.019 (3) | 0.010 (3) | 0.006 (3) | −0.002 (2) | −0.004 (3) | −0.003 (2) |
| C7A | 0.023 (3) | 0.012 (3) | 0.009 (3) | 0.000 (3) | −0.002 (3) | 0.000 (2) |
| C8A | 0.020 (3) | 0.027 (3) | 0.008 (3) | 0.007 (3) | −0.001 (3) | 0.000 (3) |
| C9A | 0.022 (3) | 0.024 (3) | 0.011 (3) | −0.005 (3) | 0.002 (3) | −0.005 (3) |
| N1A | 0.017 (3) | 0.013 (3) | 0.012 (3) | −0.002 (2) | −0.002 (2) | −0.002 (2) |
| N2A | 0.023 (3) | 0.018 (3) | 0.016 (3) | −0.003 (3) | 0.006 (3) | −0.002 (3) |
| N3A | 0.020 (3) | 0.015 (3) | 0.009 (3) | 0.003 (2) | −0.002 (2) | 0.000 (2) |
| N4A | 0.013 (3) | 0.013 (2) | 0.019 (3) | 0.000 (2) | 0.001 (2) | 0.002 (2) |
| O1A | 0.019 (2) | 0.024 (3) | 0.011 (3) | −0.004 (2) | 0.000 (2) | 0.002 (2) |
| O2A | 0.021 (2) | 0.014 (2) | 0.010 (2) | −0.0001 (19) | −0.005 (2) | 0.0024 (17) |
| O3A | 0.019 (3) | 0.030 (3) | 0.014 (3) | 0.005 (2) | −0.006 (2) | −0.008 (2) |
| C1B | 0.017 (3) | 0.009 (3) | 0.014 (3) | 0.001 (2) | −0.001 (3) | −0.002 (2) |
| C2B | 0.028 (4) | 0.010 (3) | 0.017 (3) | −0.001 (3) | 0.004 (3) | 0.003 (3) |
| C3B | 0.022 (3) | 0.016 (3) | 0.021 (4) | 0.002 (3) | 0.006 (3) | −0.006 (3) |
| C4B | 0.014 (3) | 0.012 (3) | 0.015 (3) | −0.001 (2) | 0.001 (3) | −0.003 (2) |
| C5B | 0.016 (3) | 0.014 (3) | 0.007 (3) | 0.004 (2) | −0.002 (3) | −0.001 (2) |
| C6B | 0.0133 (15) | 0.0100 (15) | 0.0092 (16) | 0.0000 (11) | −0.0006 (11) | −0.0007 (11) |
| C7B | 0.011 (3) | 0.011 (3) | 0.017 (3) | 0.000 (2) | −0.003 (3) | −0.005 (2) |
| C8B | 0.024 (4) | 0.019 (3) | 0.008 (3) | 0.004 (3) | 0.004 (3) | 0.002 (2) |
| C9B | 0.017 (3) | 0.019 (3) | 0.013 (3) | 0.002 (3) | −0.001 (3) | 0.003 (3) |
| N1B | 0.023 (3) | 0.012 (3) | 0.011 (3) | 0.002 (2) | −0.002 (2) | −0.003 (2) |
| N2B | 0.020 (3) | 0.019 (3) | 0.019 (3) | −0.004 (2) | 0.003 (3) | −0.008 (3) |
| N3B | 0.013 (3) | 0.017 (3) | 0.010 (3) | 0.003 (2) | −0.004 (2) | −0.003 (2) |
| N4B | 0.021 (3) | 0.014 (3) | 0.016 (3) | −0.007 (2) | 0.005 (3) | −0.002 (2) |
| O1B | 0.020 (2) | 0.026 (3) | 0.011 (3) | −0.001 (2) | −0.002 (2) | 0.005 (2) |
| O2B | 0.020 (2) | 0.014 (2) | 0.015 (2) | 0.0009 (19) | −0.004 (2) | 0.0021 (18) |
| O3B | 0.018 (3) | 0.039 (3) | 0.016 (3) | 0.005 (2) | −0.008 (2) | −0.010 (2) |
| C1C | 0.019 (3) | 0.005 (3) | 0.014 (3) | 0.002 (2) | 0.001 (3) | −0.002 (2) |
| C2C | 0.017 (3) | 0.013 (3) | 0.013 (3) | 0.001 (3) | −0.002 (3) | −0.002 (2) |
| C3C | 0.027 (4) | 0.015 (4) | 0.022 (4) | −0.002 (3) | 0.002 (3) | −0.002 (3) |
| C4C | 0.023 (4) | 0.015 (3) | 0.008 (3) | 0.002 (3) | −0.004 (3) | 0.000 (2) |
| C5C | 0.015 (3) | 0.014 (3) | 0.008 (3) | −0.006 (2) | −0.003 (3) | −0.002 (2) |
| C6C | 0.0149 (16) | 0.0114 (15) | 0.0105 (16) | 0.0001 (11) | −0.0001 (11) | −0.0008 (11) |
| C7C | 0.021 (3) | 0.013 (3) | 0.015 (3) | −0.003 (3) | −0.003 (3) | −0.001 (2) |
| C8C | 0.011 (3) | 0.018 (3) | 0.021 (3) | −0.003 (3) | −0.007 (3) | 0.000 (3) |
| C9C | 0.013 (3) | 0.014 (3) | 0.023 (4) | −0.001 (3) | −0.005 (3) | 0.002 (3) |
| N1C | 0.019 (3) | 0.009 (3) | 0.018 (3) | −0.001 (2) | 0.000 (2) | 0.002 (2) |
| N2C | 0.025 (3) | 0.017 (3) | 0.015 (3) | −0.002 (3) | −0.006 (3) | −0.007 (2) |
| N3C | 0.019 (3) | 0.014 (3) | 0.009 (3) | −0.004 (2) | 0.000 (2) | 0.001 (2) |
| N4C | 0.017 (3) | 0.015 (3) | 0.017 (3) | 0.001 (2) | −0.002 (2) | −0.001 (2) |
| O1C | 0.020 (2) | 0.012 (2) | 0.017 (3) | −0.0008 (19) | 0.000 (2) | 0.0004 (18) |
| O2C | 0.020 (3) | 0.026 (3) | 0.013 (3) | −0.001 (2) | −0.004 (2) | 0.004 (2) |
| O3C | 0.021 (3) | 0.035 (3) | 0.024 (3) | −0.008 (2) | 0.005 (2) | −0.010 (2) |
| C1D | 0.015 (3) | 0.008 (3) | 0.015 (3) | 0.003 (2) | −0.004 (3) | −0.001 (2) |
| C2D | 0.018 (3) | 0.014 (3) | 0.014 (3) | 0.001 (3) | −0.003 (3) | −0.001 (3) |
| C3D | 0.020 (3) | 0.015 (3) | 0.022 (4) | 0.005 (3) | −0.002 (3) | −0.005 (3) |
| C4D | 0.020 (3) | 0.011 (3) | 0.011 (3) | 0.003 (3) | −0.009 (3) | −0.001 (2) |
| C5D | 0.021 (3) | 0.010 (3) | 0.009 (3) | −0.001 (2) | −0.004 (3) | 0.001 (2) |
| C6D | 0.018 (3) | 0.012 (3) | 0.006 (3) | 0.003 (2) | −0.002 (3) | −0.004 (2) |
| C7D | 0.017 (3) | 0.019 (3) | 0.010 (3) | −0.003 (3) | 0.000 (3) | 0.001 (2) |
| C8D | 0.016 (3) | 0.026 (4) | 0.018 (3) | −0.006 (3) | −0.003 (3) | −0.005 (3) |
| C9D | 0.017 (3) | 0.021 (3) | 0.022 (4) | 0.007 (3) | −0.001 (3) | 0.001 (3) |
| N1D | 0.017 (3) | 0.014 (3) | 0.015 (3) | −0.001 (2) | 0.000 (2) | −0.001 (2) |
| N2D | 0.021 (3) | 0.017 (3) | 0.016 (3) | 0.004 (2) | −0.009 (3) | −0.004 (2) |
| N3D | 0.012 (3) | 0.017 (3) | 0.010 (3) | −0.005 (2) | −0.003 (2) | 0.001 (2) |
| N4D | 0.010 (2) | 0.014 (2) | 0.017 (3) | 0.001 (2) | −0.002 (2) | 0.001 (2) |
| O1D | 0.022 (3) | 0.022 (2) | 0.012 (3) | 0.006 (2) | −0.005 (2) | 0.003 (2) |
| O2D | 0.030 (3) | 0.010 (2) | 0.015 (2) | −0.004 (2) | 0.004 (2) | 0.0003 (17) |
| O3D | 0.011 (2) | 0.032 (3) | 0.018 (3) | −0.006 (2) | 0.001 (2) | −0.007 (2) |
| Br1 | 0.0218 (3) | 0.0225 (3) | 0.0136 (3) | −0.0042 (4) | −0.0046 (3) | 0.0042 (3) |
| Br2 | 0.0230 (4) | 0.0231 (4) | 0.0135 (4) | 0.0070 (3) | 0.0044 (3) | 0.0039 (3) |
| Br3 | 0.0248 (3) | 0.0239 (3) | 0.0134 (4) | −0.0033 (4) | −0.0029 (3) | 0.0037 (3) |
| Br4 | 0.0231 (4) | 0.0244 (5) | 0.0148 (4) | 0.0011 (3) | 0.0042 (3) | 0.0043 (3) |
| C1A—C3A | 1.362 (10) | C1C—C2C | 1.342 (10) |
| C1A—N1A | 1.386 (9) | C1C—N1C | 1.405 (9) |
| C1A—C4A | 1.492 (9) | C1C—C4C | 1.474 (11) |
| C2A—N2A | 1.300 (10) | C2C—N2C | 1.390 (10) |
| C2A—N1A | 1.330 (9) | C2C—H2C | 0.9500 |
| C2A—H2A | 0.9500 | C3C—N1C | 1.327 (10) |
| C3A—N2A | 1.381 (9) | C3C—N2C | 1.334 (9) |
| C3A—H3A | 0.9500 | C3C—H3C | 0.9500 |
| C4A—C5A | 1.542 (10) | C4C—C5C | 1.538 (9) |
| C4A—H4A1 | 0.9900 | C4C—H4C1 | 0.9900 |
| C4A—H4A2 | 0.9900 | C4C—H4C2 | 0.9900 |
| C5A—N3A | 1.462 (8) | C5C—N3C | 1.452 (9) |
| C5A—C6A | 1.541 (9) | C5C—C6C | 1.544 (10) |
| C5A—H5A | 1.0000 | C5C—H5C | 1.0000 |
| C6A—O2A | 1.242 (8) | C6C—O1C | 1.242 (8) |
| C6A—O1A | 1.256 (9) | C6C—O2C | 1.247 (8) |
| C7A—O3A | 1.236 (9) | C7C—O3C | 1.239 (8) |
| C7A—N3A | 1.330 (8) | C7C—N3C | 1.343 (9) |
| C7A—C8A | 1.528 (9) | C7C—C8C | 1.495 (10) |
| C8A—C9A | 1.527 (9) | C8C—C9C | 1.508 (10) |
| C8A—H8A1 | 0.9900 | C8C—H8C1 | 0.9900 |
| C8A—H8A2 | 0.9900 | C8C—H8C2 | 0.9900 |
| C9A—N4A | 1.466 (9) | C9C—N4C | 1.465 (9) |
| C9A—H9A1 | 0.9900 | C9C—H9C1 | 0.9900 |
| C9A—H9A2 | 0.9900 | C9C—H9C2 | 0.9900 |
| N1A—H1A | 0.8800 | N1C—H1C | 0.8800 |
| N2A—H2A1 | 0.8800 | N2C—H2C1 | 0.8800 |
| N3A—H3A1 | 0.8800 | N3C—H3C1 | 0.8800 |
| N4A—H4A3 | 0.9100 | N4C—H4C3 | 0.9100 |
| N4A—H4A4 | 0.9100 | N4C—H4C4 | 0.9100 |
| N4A—H4A5 | 0.9100 | N4C—H4C5 | 0.9100 |
| C1B—C2B | 1.351 (10) | C1D—C2D | 1.353 (10) |
| C1B—N1B | 1.380 (10) | C1D—N1D | 1.373 (9) |
| C1B—C4B | 1.491 (9) | C1D—C4D | 1.480 (11) |
| C2B—N2B | 1.375 (9) | C2D—N2D | 1.372 (10) |
| C2B—H2B | 0.9500 | C2D—H2D | 0.9500 |
| C3B—N2B | 1.331 (11) | C3D—N2D | 1.321 (9) |
| C3B—N1B | 1.339 (9) | C3D—N1D | 1.333 (10) |
| C3B—H3B | 0.9500 | C3D—H3D | 0.9500 |
| C4B—C5B | 1.548 (9) | C4D—C5D | 1.558 (9) |
| C4B—H4B1 | 0.9900 | C4D—H4D1 | 0.9900 |
| C4B—H4B2 | 0.9900 | C4D—H4D2 | 0.9900 |
| C5B—N3B | 1.455 (8) | C5D—N3D | 1.450 (9) |
| C5B—C6B | 1.546 (8) | C5D—C6D | 1.531 (10) |
| C5B—H5B | 1.0000 | C5D—H5D | 1.0000 |
| C6B—O1B | 1.232 (8) | C6D—O1D | 1.252 (9) |
| C6B—O2B | 1.270 (8) | C6D—O2D | 1.253 (8) |
| C7B—O3B | 1.231 (9) | C7D—O3D | 1.239 (8) |
| C7B—N3B | 1.332 (9) | C7D—N3D | 1.336 (9) |
| C7B—C8B | 1.519 (9) | C7D—C8D | 1.513 (10) |
| C8B—C9B | 1.518 (8) | C8D—C9D | 1.528 (11) |
| C8B—H8B1 | 0.9900 | C8D—H8D1 | 0.9900 |
| C8B—H8B2 | 0.9900 | C8D—H8D2 | 0.9900 |
| C9B—N4B | 1.465 (8) | C9D—N4D | 1.480 (8) |
| C9B—H9B1 | 0.9900 | C9D—H9D1 | 0.9900 |
| C9B—H9B2 | 0.9900 | C9D—H9D2 | 0.9900 |
| N1B—H1B | 0.8800 | N1D—H1D | 0.8800 |
| N2B—H2B1 | 0.8800 | N2D—H2D1 | 0.8800 |
| N3B—H3B1 | 0.8800 | N3D—H3D1 | 0.8800 |
| N4B—H4B3 | 0.9100 | N4D—H4D3 | 0.9100 |
| N4B—H4B4 | 0.9100 | N4D—H4D4 | 0.9100 |
| N4B—H4B5 | 0.9100 | N4D—H4D5 | 0.9100 |
| C3A—C1A—N1A | 106.0 (6) | C2C—C1C—N1C | 106.6 (7) |
| C3A—C1A—C4A | 131.0 (7) | C2C—C1C—C4C | 131.2 (6) |
| N1A—C1A—C4A | 123.0 (6) | N1C—C1C—C4C | 122.2 (6) |
| N2A—C2A—N1A | 109.1 (7) | C1C—C2C—N2C | 107.3 (6) |
| N2A—C2A—H2A | 125.5 | C1C—C2C—H2C | 126.3 |
| N1A—C2A—H2A | 125.5 | N2C—C2C—H2C | 126.3 |
| C1A—C3A—N2A | 106.8 (7) | N1C—C3C—N2C | 108.3 (7) |
| C1A—C3A—H3A | 126.6 | N1C—C3C—H3C | 125.8 |
| N2A—C3A—H3A | 126.6 | N2C—C3C—H3C | 125.8 |
| C1A—C4A—C5A | 113.9 (6) | C1C—C4C—C5C | 113.5 (6) |
| C1A—C4A—H4A1 | 108.8 | C1C—C4C—H4C1 | 108.9 |
| C5A—C4A—H4A1 | 108.8 | C5C—C4C—H4C1 | 108.9 |
| C1A—C4A—H4A2 | 108.8 | C1C—C4C—H4C2 | 108.9 |
| C5A—C4A—H4A2 | 108.8 | C5C—C4C—H4C2 | 108.9 |
| H4A1—C4A—H4A2 | 107.7 | H4C1—C4C—H4C2 | 107.7 |
| N3A—C5A—C6A | 109.8 (5) | N3C—C5C—C4C | 106.8 (6) |
| N3A—C5A—C4A | 107.2 (6) | N3C—C5C—C6C | 110.8 (5) |
| C6A—C5A—C4A | 107.6 (5) | C4C—C5C—C6C | 110.0 (6) |
| N3A—C5A—H5A | 110.7 | N3C—C5C—H5C | 109.7 |
| C6A—C5A—H5A | 110.7 | C4C—C5C—H5C | 109.7 |
| C4A—C5A—H5A | 110.7 | C6C—C5C—H5C | 109.7 |
| O2A—C6A—O1A | 125.8 (6) | O1C—C6C—O2C | 126.2 (7) |
| O2A—C6A—C5A | 117.2 (6) | O1C—C6C—C5C | 116.3 (6) |
| O1A—C6A—C5A | 116.9 (6) | O2C—C6C—C5C | 117.4 (6) |
| O3A—C7A—N3A | 124.1 (7) | O3C—C7C—N3C | 123.4 (7) |
| O3A—C7A—C8A | 121.2 (6) | O3C—C7C—C8C | 121.3 (6) |
| N3A—C7A—C8A | 114.7 (6) | N3C—C7C—C8C | 115.3 (6) |
| C9A—C8A—C7A | 112.4 (6) | C7C—C8C—C9C | 110.2 (6) |
| C9A—C8A—H8A1 | 109.1 | C7C—C8C—H8C1 | 109.6 |
| C7A—C8A—H8A1 | 109.1 | C9C—C8C—H8C1 | 109.6 |
| C9A—C8A—H8A2 | 109.1 | C7C—C8C—H8C2 | 109.6 |
| C7A—C8A—H8A2 | 109.1 | C9C—C8C—H8C2 | 109.6 |
| H8A1—C8A—H8A2 | 107.9 | H8C1—C8C—H8C2 | 108.1 |
| N4A—C9A—C8A | 112.0 (6) | N4C—C9C—C8C | 111.8 (5) |
| N4A—C9A—H9A1 | 109.2 | N4C—C9C—H9C1 | 109.3 |
| C8A—C9A—H9A1 | 109.2 | C8C—C9C—H9C1 | 109.3 |
| N4A—C9A—H9A2 | 109.2 | N4C—C9C—H9C2 | 109.3 |
| C8A—C9A—H9A2 | 109.2 | C8C—C9C—H9C2 | 109.3 |
| H9A1—C9A—H9A2 | 107.9 | H9C1—C9C—H9C2 | 107.9 |
| C2A—N1A—C1A | 108.7 (6) | C3C—N1C—C1C | 108.8 (6) |
| C2A—N1A—H1A | 125.6 | C3C—N1C—H1C | 125.6 |
| C1A—N1A—H1A | 125.6 | C1C—N1C—H1C | 125.6 |
| C2A—N2A—C3A | 109.5 (6) | C3C—N2C—C2C | 108.9 (7) |
| C2A—N2A—H2A1 | 125.3 | C3C—N2C—H2C1 | 125.5 |
| C3A—N2A—H2A1 | 125.3 | C2C—N2C—H2C1 | 125.5 |
| C7A—N3A—C5A | 124.6 (7) | C7C—N3C—C5C | 122.7 (6) |
| C7A—N3A—H3A1 | 117.7 | C7C—N3C—H3C1 | 118.6 |
| C5A—N3A—H3A1 | 117.7 | C5C—N3C—H3C1 | 118.6 |
| C9A—N4A—H4A3 | 109.5 | C9C—N4C—H4C3 | 109.5 |
| C9A—N4A—H4A4 | 109.5 | C9C—N4C—H4C4 | 109.5 |
| H4A3—N4A—H4A4 | 109.5 | H4C3—N4C—H4C4 | 109.5 |
| C9A—N4A—H4A5 | 109.5 | C9C—N4C—H4C5 | 109.5 |
| H4A3—N4A—H4A5 | 109.5 | H4C3—N4C—H4C5 | 109.5 |
| H4A4—N4A—H4A5 | 109.5 | H4C4—N4C—H4C5 | 109.5 |
| C2B—C1B—N1B | 106.3 (6) | C2D—C1D—N1D | 106.0 (7) |
| C2B—C1B—C4B | 131.3 (7) | C2D—C1D—C4D | 131.0 (6) |
| N1B—C1B—C4B | 122.4 (6) | N1D—C1D—C4D | 123.0 (6) |
| C1B—C2B—N2B | 107.1 (7) | C1D—C2D—N2D | 107.7 (6) |
| C1B—C2B—H2B | 126.5 | C1D—C2D—H2D | 126.1 |
| N2B—C2B—H2B | 126.5 | N2D—C2D—H2D | 126.1 |
| N2B—C3B—N1B | 106.7 (7) | N2D—C3D—N1D | 108.1 (6) |
| N2B—C3B—H3B | 126.6 | N2D—C3D—H3D | 125.9 |
| N1B—C3B—H3B | 126.6 | N1D—C3D—H3D | 125.9 |
| C1B—C4B—C5B | 113.1 (6) | C1D—C4D—C5D | 114.1 (6) |
| C1B—C4B—H4B1 | 109.0 | C1D—C4D—H4D1 | 108.7 |
| C5B—C4B—H4B1 | 109.0 | C5D—C4D—H4D1 | 108.7 |
| C1B—C4B—H4B2 | 109.0 | C1D—C4D—H4D2 | 108.7 |
| C5B—C4B—H4B2 | 109.0 | C5D—C4D—H4D2 | 108.7 |
| H4B1—C4B—H4B2 | 107.8 | H4D1—C4D—H4D2 | 107.6 |
| N3B—C5B—C6B | 111.8 (5) | N3D—C5D—C6D | 111.2 (5) |
| N3B—C5B—C4B | 106.9 (5) | N3D—C5D—C4D | 107.9 (6) |
| C6B—C5B—C4B | 110.0 (5) | C6D—C5D—C4D | 107.5 (6) |
| N3B—C5B—H5B | 109.4 | N3D—C5D—H5D | 110.0 |
| C6B—C5B—H5B | 109.4 | C6D—C5D—H5D | 110.0 |
| C4B—C5B—H5B | 109.4 | C4D—C5D—H5D | 110.0 |
| O1B—C6B—O2B | 125.9 (6) | O1D—C6D—O2D | 125.8 (7) |
| O1B—C6B—C5B | 118.9 (6) | O1D—C6D—C5D | 117.9 (6) |
| O2B—C6B—C5B | 115.2 (6) | O2D—C6D—C5D | 116.2 (6) |
| O3B—C7B—N3B | 124.2 (6) | O3D—C7D—N3D | 123.8 (7) |
| O3B—C7B—C8B | 121.9 (6) | O3D—C7D—C8D | 121.3 (6) |
| N3B—C7B—C8B | 113.9 (6) | N3D—C7D—C8D | 114.9 (6) |
| C9B—C8B—C7B | 109.8 (6) | C7D—C8D—C9D | 113.4 (6) |
| C9B—C8B—H8B1 | 109.7 | C7D—C8D—H8D1 | 108.9 |
| C7B—C8B—H8B1 | 109.7 | C9D—C8D—H8D1 | 108.9 |
| C9B—C8B—H8B2 | 109.7 | C7D—C8D—H8D2 | 108.9 |
| C7B—C8B—H8B2 | 109.7 | C9D—C8D—H8D2 | 108.9 |
| H8B1—C8B—H8B2 | 108.2 | H8D1—C8D—H8D2 | 107.7 |
| N4B—C9B—C8B | 111.1 (6) | N4D—C9D—C8D | 111.3 (6) |
| N4B—C9B—H9B1 | 109.4 | N4D—C9D—H9D1 | 109.4 |
| C8B—C9B—H9B1 | 109.4 | C8D—C9D—H9D1 | 109.4 |
| N4B—C9B—H9B2 | 109.4 | N4D—C9D—H9D2 | 109.4 |
| C8B—C9B—H9B2 | 109.4 | C8D—C9D—H9D2 | 109.4 |
| H9B1—C9B—H9B2 | 108.0 | H9D1—C9D—H9D2 | 108.0 |
| C3B—N1B—C1B | 109.9 (6) | C3D—N1D—C1D | 109.4 (6) |
| C3B—N1B—H1B | 125.0 | C3D—N1D—H1D | 125.3 |
| C1B—N1B—H1B | 125.0 | C1D—N1D—H1D | 125.3 |
| C3B—N2B—C2B | 109.9 (6) | C3D—N2D—C2D | 108.8 (7) |
| C3B—N2B—H2B1 | 125.0 | C3D—N2D—H2D1 | 125.6 |
| C2B—N2B—H2B1 | 125.0 | C2D—N2D—H2D1 | 125.6 |
| C7B—N3B—C5B | 122.0 (6) | C7D—N3D—C5D | 125.3 (6) |
| C7B—N3B—H3B1 | 119.0 | C7D—N3D—H3D1 | 117.3 |
| C5B—N3B—H3B1 | 119.0 | C5D—N3D—H3D1 | 117.4 |
| C9B—N4B—H4B3 | 109.5 | C9D—N4D—H4D3 | 109.5 |
| C9B—N4B—H4B4 | 109.5 | C9D—N4D—H4D4 | 109.5 |
| H4B3—N4B—H4B4 | 109.5 | H4D3—N4D—H4D4 | 109.5 |
| C9B—N4B—H4B5 | 109.5 | C9D—N4D—H4D5 | 109.5 |
| H4B3—N4B—H4B5 | 109.5 | H4D3—N4D—H4D5 | 109.5 |
| H4B4—N4B—H4B5 | 109.5 | H4D4—N4D—H4D5 | 109.5 |
| N1A—C1A—C3A—N2A | −0.1 (7) | N1C—C1C—C2C—N2C | −0.6 (8) |
| C4A—C1A—C3A—N2A | −178.7 (7) | C4C—C1C—C2C—N2C | 179.7 (7) |
| C3A—C1A—C4A—C5A | −111.9 (9) | C2C—C1C—C4C—C5C | −114.8 (8) |
| N1A—C1A—C4A—C5A | 69.7 (8) | N1C—C1C—C4C—C5C | 65.5 (8) |
| C1A—C4A—C5A—N3A | 171.1 (6) | C1C—C4C—C5C—N3C | 173.7 (6) |
| C1A—C4A—C5A—C6A | 53.0 (8) | C1C—C4C—C5C—C6C | 53.4 (7) |
| N3A—C5A—C6A—O2A | −45.5 (8) | N3C—C5C—C6C—O1C | −51.6 (8) |
| C4A—C5A—C6A—O2A | 70.9 (7) | C4C—C5C—C6C—O1C | 66.3 (8) |
| N3A—C5A—C6A—O1A | 138.7 (6) | N3C—C5C—C6C—O2C | 130.7 (7) |
| C4A—C5A—C6A—O1A | −105.0 (7) | C4C—C5C—C6C—O2C | −111.4 (7) |
| O3A—C7A—C8A—C9A | −32.0 (9) | O3C—C7C—C8C—C9C | −46.7 (9) |
| N3A—C7A—C8A—C9A | 151.1 (6) | N3C—C7C—C8C—C9C | 134.8 (6) |
| C7A—C8A—C9A—N4A | 69.9 (8) | C7C—C8C—C9C—N4C | 176.5 (5) |
| N2A—C2A—N1A—C1A | 0.4 (8) | N2C—C3C—N1C—C1C | 1.1 (8) |
| C3A—C1A—N1A—C2A | −0.2 (7) | C2C—C1C—N1C—C3C | −0.3 (8) |
| C4A—C1A—N1A—C2A | 178.6 (6) | C4C—C1C—N1C—C3C | 179.4 (6) |
| N1A—C2A—N2A—C3A | −0.5 (8) | N1C—C3C—N2C—C2C | −1.4 (8) |
| C1A—C3A—N2A—C2A | 0.3 (8) | C1C—C2C—N2C—C3C | 1.2 (8) |
| O3A—C7A—N3A—C5A | 0.1 (10) | O3C—C7C—N3C—C5C | 1.6 (11) |
| C8A—C7A—N3A—C5A | 176.9 (6) | C8C—C7C—N3C—C5C | −179.9 (6) |
| C6A—C5A—N3A—C7A | −112.3 (7) | C4C—C5C—N3C—C7C | 137.8 (6) |
| C4A—C5A—N3A—C7A | 131.0 (7) | C6C—C5C—N3C—C7C | −102.4 (7) |
| N1B—C1B—C2B—N2B | −0.2 (8) | N1D—C1D—C2D—N2D | 0.2 (8) |
| C4B—C1B—C2B—N2B | 179.6 (7) | C4D—C1D—C2D—N2D | −176.8 (7) |
| C2B—C1B—C4B—C5B | −114.5 (9) | C2D—C1D—C4D—C5D | −112.1 (8) |
| N1B—C1B—C4B—C5B | 65.3 (8) | N1D—C1D—C4D—C5D | 71.2 (8) |
| C1B—C4B—C5B—N3B | 173.6 (6) | C1D—C4D—C5D—N3D | 170.9 (6) |
| C1B—C4B—C5B—C6B | 52.1 (8) | C1D—C4D—C5D—C6D | 50.8 (7) |
| N3B—C5B—C6B—O1B | 130.1 (7) | N3D—C5D—C6D—O1D | 138.7 (6) |
| C4B—C5B—C6B—O1B | −111.3 (7) | C4D—C5D—C6D—O1D | −103.3 (7) |
| N3B—C5B—C6B—O2B | −51.5 (8) | N3D—C5D—C6D—O2D | −45.6 (8) |
| C4B—C5B—C6B—O2B | 67.1 (7) | C4D—C5D—C6D—O2D | 72.4 (7) |
| O3B—C7B—C8B—C9B | −43.6 (9) | O3D—C7D—C8D—C9D | −29.2 (10) |
| N3B—C7B—C8B—C9B | 137.0 (6) | N3D—C7D—C8D—C9D | 152.5 (6) |
| C7B—C8B—C9B—N4B | 174.7 (6) | C7D—C8D—C9D—N4D | 68.2 (8) |
| N2B—C3B—N1B—C1B | 0.7 (8) | N2D—C3D—N1D—C1D | −0.4 (8) |
| C2B—C1B—N1B—C3B | −0.3 (8) | C2D—C1D—N1D—C3D | 0.1 (8) |
| C4B—C1B—N1B—C3B | 179.9 (6) | C4D—C1D—N1D—C3D | 177.5 (6) |
| N1B—C3B—N2B—C2B | −0.8 (8) | N1D—C3D—N2D—C2D | 0.6 (8) |
| C1B—C2B—N2B—C3B | 0.6 (8) | C1D—C2D—N2D—C3D | −0.5 (8) |
| O3B—C7B—N3B—C5B | 1.6 (10) | O3D—C7D—N3D—C5D | −0.5 (11) |
| C8B—C7B—N3B—C5B | −179.0 (5) | C8D—C7D—N3D—C5D | 177.7 (6) |
| C6B—C5B—N3B—C7B | −104.2 (7) | C6D—C5D—N3D—C7D | −113.2 (7) |
| C4B—C5B—N3B—C7B | 135.4 (6) | C4D—C5D—N3D—C7D | 129.1 (7) |
| D—H···A | D—H | H···A | D···A | D—H···A |
| N1A—H1A···Br4i | 0.88 | 2.39 | 3.242 (7) | 162 |
| N2A—H2A1···Br2ii | 0.88 | 2.33 | 3.205 (6) | 171 |
| N3A—H3A1···O1Ai | 0.88 | 2.04 | 2.918 (9) | 172 |
| N4A—H4A3···O1Biii | 0.91 | 1.88 | 2.771 (7) | 167 |
| N4A—H4A4···O1Ci | 0.91 | 1.84 | 2.744 (7) | 171 |
| N4A—H4A5···O3A | 0.91 | 2.23 | 2.887 (7) | 129 |
| N4A—H4A5···O2Bi | 0.91 | 2.36 | 2.875 (8) | 116 |
| C2A—H2A···Br1iv | 0.95 | 2.71 | 3.651 (8) | 170 |
| C4A—H4A1···Br4iii | 0.99 | 2.77 | 3.678 (6) | 153 |
| C9A—H9A1···O3Ai | 0.99 | 2.54 | 3.156 (10) | 120 |
| N1B—H1B···Br2 | 0.88 | 2.40 | 3.261 (7) | 167 |
| N2B—H2B1···Br4 | 0.88 | 2.29 | 3.167 (6) | 173 |
| N3B—H3B1···O1Bi | 0.88 | 2.04 | 2.907 (8) | 170 |
| N4B—H4B3···O1Av | 0.91 | 1.86 | 2.764 (7) | 171 |
| N4B—H4B4···O3Bi | 0.91 | 1.96 | 2.798 (8) | 153 |
| N4B—H4B5···O2Di | 0.91 | 1.85 | 2.744 (7) | 169 |
| C2B—H2B···O3Avi | 0.95 | 2.58 | 3.425 (10) | 149 |
| C3B—H3B···Br3iv | 0.95 | 2.64 | 3.587 (8) | 171 |
| C4B—H4B1···Br2i | 0.99 | 2.93 | 3.836 (6) | 152 |
| C5B—H5B···Br2 | 1.00 | 3.12 | 4.046 (7) | 155 |
| C8B—H8B2···O3Bi | 0.99 | 2.66 | 3.341 (9) | 127 |
| C9B—H9B2···O2Avii | 0.99 | 2.38 | 3.307 (9) | 156 |
| N1C—H1C···Br1ii | 0.88 | 2.39 | 3.251 (6) | 165 |
| N2C—H2C1···Br3 | 0.88 | 2.30 | 3.165 (7) | 168 |
| N3C—H3C1···O2Ci | 0.88 | 2.03 | 2.905 (7) | 171 |
| N4C—H4C3···O1Dviii | 0.91 | 1.85 | 2.760 (8) | 176 |
| N4C—H4C4···O3Ci | 0.91 | 1.96 | 2.808 (7) | 154 |
| N4C—H4C5···O2A | 0.91 | 1.84 | 2.747 (7) | 176 |
| C2C—H2C···O3Di | 0.95 | 2.58 | 3.422 (9) | 148 |
| C3C—H3C···Br2ix | 0.95 | 2.64 | 3.583 (8) | 172 |
| C4C—H4C1···Br1viii | 0.99 | 2.85 | 3.776 (8) | 155 |
| C9C—H9C2···O2Dii | 0.99 | 2.37 | 3.300 (8) | 156 |
| N1D—H1D···Br3vi | 0.88 | 2.38 | 3.234 (6) | 165 |
| N2D—H2D1···Br1 | 0.88 | 2.33 | 3.204 (7) | 173 |
| N3D—H3D1···O1Di | 0.88 | 2.05 | 2.926 (7) | 172 |
| N4D—H4D3···O2C | 0.91 | 1.88 | 2.772 (8) | 167 |
| N4D—H4D4···O2B | 0.91 | 1.85 | 2.751 (7) | 171 |
| N4D—H4D5···O1Cvi | 0.91 | 2.36 | 2.875 (7) | 116 |
| N4D—H4D5···O3D | 0.91 | 2.22 | 2.871 (8) | 128 |
| C3D—H3D···Br4x | 0.95 | 2.72 | 3.662 (8) | 170 |
| C4D—H4D1···Br3 | 0.99 | 2.86 | 3.746 (7) | 149 |
| C9D—H9D1···O3Di | 0.99 | 2.53 | 3.146 (8) | 120 |
| Symmetry codes: (i) x−1, y, z; (ii) x−1, y, z−1; (iii) x−2, y, z; (iv) −x+2, y−1/2, −z+1; (v) x, y, z+1; (vi) x+1, y, z; (vii) x+1, y, z+1; (viii) x−2, y, z−1; (ix) −x+2, y+1/2, −z+1; (x) −x+3, y+1/2, −z+1. |
| φ is the C4—C5—N3—C7 torsion angle; ψ is the C1—C4—C5—N3 torsion angle; ω is the C5—N3—C7—C8 torsion angle; χ is the C1—C4—C5—C6 torsion angle; ρ is the C7—C8—C9—N4 torsion angle; ξ is the C1—C4—C5—H5 torsion angle (our atom-labelling scheme; see Fig. 1). |
| Cation | φ | ψ | ω | χ | ρ | ξ |
| (I)A | 131.0 (7) | 171.1 (6) | 176.9 (6) | 53.0 (8) | 69.9 (8) | –68 |
| (I)B | 135.4 (6) | 173.6 (6) | –179.0 (5) | 52.1 (8) | 174.7 (6) | –68 |
| (I)C | 137.8 (6) | 173.7 (6) | –179.9 (6) | 53.4 (7) | 176.5 (5) | –67 |
| (I)D | 129.1 (7) | 170.9 (6) | 177.7 (6) | 50.8 (7) | 68.2 (8) | –69 |
| BALHISa,b | 146.7 | –178.5 | 174.4 | 61.2 | 177.1 | –61 |
| HAXYENa | 76.5 | 68.5 | 175.2 | –51.9 | –176.2 | –174 |
| HAXXEMa | 157.6 | –69.7 | 157.6 | 169.9 | –68.0 | –48 |
| HAXYAJ(A) | 163.8 | 173.5 | 173.3 | 52.0 | 171.9 | –64 |
| HAXYAJ(B) | 158.5 | 171.8 | 168.4 | 50.1 | 64.3 | –72 |
| Notes: (a) The deposited atomic coordinates for BALHIS, HAXYEN and HAXXEM correspond to the R-enantiomer of carnosine and they have been inverted to calculate the torsion angles listed here. (b) BALHIS is a neutral zwitterion. |
Footnotes
‡Emeritus
Acknowledgements
We thank the EPSRC National Crystallography Service (University of Southampton, UK) for the data collection.
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