organic compounds
Hydantoin and hydrogen-bonding patterns in hydantoin derivatives
aAston Pharmacy School, Aston Triangle, Birmingham B4 7ET, England, and bChemical Crystallography Laboratory, 9 Parks Road, Oxford OX1 3PD, England
*Correspondence e-mail: c.h.schwalbe@aston.ac.uk
The structure of hydantoin (imidazolidine-2,4-dione), C3H4N2O2, has been determined from a twinned crystal. The two carbonyl bond lengths are nearly equal, even though one of them adjoins electron-donating NH groups to either side while the other is adjacent to only one. Ab initio molecular-orbital calculations yield more negative Löwdin charge on the former than the latter. Hydantoin molecules form two chains linked by N—H⋯O hydrogen bonds, from which inversion centres create a `chain of rings'. Out of 50 hydantoin moieties in 49 independent molecules of hydantoin derivatives in the Cambridge Structural Database [Version 5.25; Allen (2002). Acta Cryst. B58, 380–388], five show this arrangement, six are a variant using the same O atom twice, five form a chain of edge-fused 12-membered hydrogen-bonded rings, and all but three of the remainder have one eight-membered ring and/or one chain connecting their hydantoin rings.
Comment
Hydantoin, (I), is of interest as the parent compound of the anti-epileptic drug diphenylhydantoin and as a supramolecular synthon in its own right. Possessing equal numbers of hydrogen-bond donor (two ring NH) groups and acceptor (two carbonyl O) atoms, it can form intricate networks, but with a different presentation of these groups compared with the six-membered rings so often studied. Probably due to the difficulties with described below, no structure of hydantoin has appeared in the literature to date.
A view of (I) with the atom-numbering scheme is shown in Fig. 1. Electron donation from the ring N atoms to the carbonyl groups, as in resonance structures (Ia)–(Ic), would be expected to lengthen the C=O bonds and shorten the ring C—N bonds, C2=O2 being affected from both sides. The experimental bond distances (Table 1) show no significant differences between the two carbonyl bond lengths or between N1—C2 and N3—C4, but C2—N3 is longer than their average by 0.024 Å (6σ). Thus, resonance structure (Ib) appears to be of limited importance. Both carbonyl groups are bent towards atom N3; the angle O2—C2—N1 exceeds O2—C2—N3 by 3.8 (3)° and the angle O4—C4—C5 exceeds O4—C4—N3 by 2.6 (3)°.
A search group was defined, consisting of a hydantoin ring with both NH groups unsubstituted and sp3 at C5. With disorder, errors or ions excluded and R < 0.1 required, a search (Bruno et al., 2002) of the Cambridge Structural Database (CSD, Version 5.25; Allen, 2002) yielded 41 hits with 50 hydantoin rings in 49 independent molecules after removal of duplicate structure determinations. Mean values of the relevant bond distances, with standard error of the mean in parentheses, confirm the tendency in hydantoin: C2—O2 = 1.221 (1) Å, C4—O4 = 1.211 (1) Å, N1—C2 = 1.342 (2) Å, C2—N3 = 1.393 (2) Å and N3—C4 = 1.362 (1) Å. Bending of one carbonyl bond is common. The mean O2—C2—N1 angle is 127.9 (1)°, compared with 124.5 (1)° for O2—C2—N3, but the other C=O bond lies close to the exterior bisector, mean values being 126.8 (1)° for O4—C4—N3 and 126.3 (1)° for O4—C4—C5.
Ab initio molecular-orbital optimization of hydantoin with GAMESS (Schmidt et al., 1990) in the 6-31G* basis set corroborates the near equality of C=O distances and yields N1—C2, C2—N3 and N3—C4 distances of 1.356, 1.391 and 1.367 Å, respectively. Atomic charges were calculated by the method of Löwdin (1950), chosen because it is based on orthogonalized orbitals and appears to be consistent with Values of −0.350 on atom N1, −0.382 on O2, −0.275 on N3 and −0.348 on O4 suggest that more negative charge is received by O2 than O4, and more given up by N3 than by N1.
As seen in Fig. 2, each molecule of (I) participates in N—H⋯O hydrogen bonds (Table 2), forming a chain of centrosymmetric rings with graph set C22(9) [R22(8)] [R22(8)] (Etter, 1990; Bernstein et al., 1995). Of the 50 independent hydantoin rings found in the search of the CSD, this (pseudo-)centrosymmetric `chain of rings' arrangement occurred in five (Table 3; the atom-numbering scheme has always been made to agree with the IUPAC system used in the present study), while another six exhibited a variant form in which the more electron-dense atom O2 simultaneously accepts N1—H1⋯O2 and N3—H3⋯O2 hydrogen bonds, while atom O4 accepts none (Table 4).
Chains are also possible. Hydantoins can create an infinite chain in graph set C(5) with atom N1 as donor and atom O4 as acceptor, simultaneously with another C(4) motif having atom N3 as donor and atom O2 as acceptor, thereby creating edge-fused R33(12) rings. This network had five occurrences, always in a non-centrosymmetric (Table 5).
Many hydantoin derivatives carry polar substituents on the 5-position, which divert some or all of the hydrogen bonding away from the ring. Thus, 21 molecules participate in a single R22(8) motif, 11 involving atom N1 as donor and atom O2 as acceptor, seven with N3 and O2, two with N3 and O4, and one with heterogeneous involvement of N1 with O4 and N3 with O2 (Table 6). Single chains also occur frequently, two C(4) using atoms N1 and O2, five C(5) with N1 and O4, four C(4) with N3 and O2 but none with N3 and O4, and one with heterogeneous chains (Table 7). Finally, three rings only interact with side groups (Table 8). (The total exceeds 50 because two molecules forming one ring and one chain are double-counted.) Of the potential hydrogen-bond donors and acceptors, atom N1 is left unused only three times, O2 just once and N3 not at all, but the less highly charged and less accessible atom O4 is unused 24 times. Thus, hydantoin is a versatile supramolecular synthon providing a challenge to attempts at a priori prediction.
Experimental
Crystals of (I), in habits ranging from stubby needles to tabular blocks, were grown by slowly cooling to room temperature a saturated aqueous solution prepared at 353 K. An attempt to obtain a more tractable crystal form by diffusing acetic acid vapour into a sample of hydantoin in 12.5% sodium hydroxide solution yielded a conglomerate of sticky needles showing the same and propensity to form twins.
Crystal data
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Data collection
Refinement
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H-atom positions were refined freely, and Uiso(H) values were set initially to 1.2Ueq(C,N) and not refined further. The data were refined as a two-component twin, (1 0 0, 0 1 0, 0 0 1) and (1 0 0.652, 0 0, 0 0 ), with scale factors of 0.869 (6) and 0.131 (6).
Data collection: COLLECT (Nonius, 1998); cell DENZO and SCALEPACK (Otwinowski & Minor, 1997); data reduction: DENZO and SCALEPACK; program(s) used to solve structure: SIR92 (Altomare et al., 1994) and SHELXL97 (Sheldrick, 1997); program(s) used to refine structure: CRYSTALS (Watkin et al., 1999); molecular graphics: CAMERON (Watkin et al., 1996) and ORTEPII (Johnson, 1976); software used to prepare material for publication: CRYSTALS.
Supporting information
10.1107/S0108270104017706/gd1332sup1.cif
contains datablocks global, I. DOI:Structure factors: contains datablock I. DOI: 10.1107/S0108270104017706/gd1332Isup2.hkl
Crystals of (I), in habits ranging from stubby needles to tabular blocks, were grown by slowly cooling to room temperature a saturated aqueous solution prepared at 353 K. An attempt to obtain a more tractable crystal form by diffusing acetic acid vapour into a sample of hydantoin in 12.5% sodium hydroxide solution yielded a conglomerate of sticky needles showing the same
and propensity to form twins.H-atom positions were refined freely, and Uiso(H) were set initially to 1.2Ueq(C,N) and not refined further. The data were refined as a two-component twin, (1 0 0, 0 1 0, 0 0 1) and (1 0 0.652, 0 − 1–0, 0 0 − 1), with
scale factors 0.869 (6) and 0.131 (6).Data collection: COLLECT (Nonius, 1998); cell
DENZO and SCALEPACK; data reduction: DENZO and SCALEPACK (Otwinowski & Minor, 1997); program(s) used to solve structure: SIR92 (Altomare et al., 1994) and SHELXL97 (Sheldrick, 1997); program(s) used to refine structure: CRYSTALS (Watkin et al., 1999); molecular graphics: CAMERON (Watkin et al., 1996) and ORTEPII (Johnson, 1976); software used to prepare material for publication: CRYSTALS.Fig. 1. A view of the structure of (I), showing the atom-numbering scheme. Displacement ellipsoids are drawn at the 50% probability level and H atoms are shown as small spheres of arbitrary radii. Hydrogen bonds are indicated by dashed lines. | |
Fig. 2. A view of two chains of (I) extending through the unit cell, with atom N1 of four representative molecules bearing a label. The symmetry codes are: (2) 1 − x, −y, 1 − z; (3) 1/2 + x, 1/2 + y, z; (4) 3/2 − x, 1/2 − y, 1 − z. Other molecules are generated from these by adding 1 to both x and z or subtracting 1 from both x and z. Hydrogen bonds are shown as dashed lines. The new figure does not match this caption. Do you wish to amend the figure or the caption? |
C3H4N2O2 | F(000) = 416.000 |
Mr = 100.08 | Dx = 1.669 Mg m−3 |
Monoclinic, C2/c | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: -C 2yc | Cell parameters from 730 reflections |
a = 9.3538 (7) Å | θ = 5–27° |
b = 12.1757 (11) Å | µ = 0.14 mm−1 |
c = 7.2286 (6) Å | T = 190 K |
β = 104.593 (4)° | Plate, colourless |
V = 796.70 (11) Å3 | 0.18 × 0.10 × 0.02 mm |
Z = 8 |
Nonius KappaCCD area-detector diffractometer | 886 reflections with I > −10σ(I) |
Graphite monochromator | Rint = 0.02 |
ω scans | θmax = 27.4°, θmin = 5.5° |
Absorption correction: multi-scan DENZO and SCALEPACK (Otwinowski & Minor, 1997) | h = −12→12 |
Tmin = 0.99, Tmax = 1.00 | k = −14→15 |
1593 measured reflections | l = −9→9 |
886 independent reflections |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Hydrogen site location: inferred from neighbouring sites |
R[F2 > 2σ(F2)] = 0.061 | Only H-atom coordinates refined |
wR(F2) = 0.131 | w = 1/[σ2(F*) + 1.89P] where P = 0.333*max(Fo2,0) + (1-0.333)Fc2 |
S = 1.13 | (Δ/σ)max = 0.000095 |
886 reflections | Δρmax = 0.27 e Å−3 |
77 parameters | Δρmin = −0.25 e Å−3 |
0 restraints |
C3H4N2O2 | V = 796.70 (11) Å3 |
Mr = 100.08 | Z = 8 |
Monoclinic, C2/c | Mo Kα radiation |
a = 9.3538 (7) Å | µ = 0.14 mm−1 |
b = 12.1757 (11) Å | T = 190 K |
c = 7.2286 (6) Å | 0.18 × 0.10 × 0.02 mm |
β = 104.593 (4)° |
Nonius KappaCCD area-detector diffractometer | 886 independent reflections |
Absorption correction: multi-scan DENZO and SCALEPACK (Otwinowski & Minor, 1997) | 886 reflections with I > −10σ(I) |
Tmin = 0.99, Tmax = 1.00 | Rint = 0.02 |
1593 measured reflections |
R[F2 > 2σ(F2)] = 0.061 | 0 restraints |
wR(F2) = 0.131 | Only H-atom coordinates refined |
S = 1.13 | Δρmax = 0.27 e Å−3 |
886 reflections | Δρmin = −0.25 e Å−3 |
77 parameters |
x | y | z | Uiso*/Ueq | ||
N1 | 0.8510 (3) | 0.10869 (19) | 0.8685 (3) | 0.0374 | |
C2 | 0.7974 (3) | 0.00484 (19) | 0.8218 (3) | 0.0271 | |
N3 | 0.6630 (2) | 0.01532 (16) | 0.6856 (3) | 0.0271 | |
C4 | 0.6326 (3) | 0.12247 (19) | 0.6338 (3) | 0.0280 | |
C5 | 0.7522 (3) | 0.1883 (2) | 0.7508 (4) | 0.0326 | |
O4 | 0.5237 (2) | 0.15458 (14) | 0.5136 (3) | 0.0376 | |
O2 | 0.8518 (2) | −0.08264 (14) | 0.8866 (3) | 0.0366 | |
H51 | 0.802 (3) | 0.224 (3) | 0.685 (5) | 0.0388* | |
H52 | 0.723 (3) | 0.236 (3) | 0.815 (5) | 0.0388* | |
H1 | 0.943 (3) | 0.119 (2) | 0.959 (4) | 0.0309* | |
H3 | 0.610 (4) | −0.038 (3) | 0.623 (5) | 0.0500* |
U11 | U22 | U33 | U12 | U13 | U23 | |
N1 | 0.0327 (12) | 0.0373 (12) | 0.0362 (13) | −0.004 (1) | −0.003 (1) | −0.0052 (9) |
C2 | 0.0268 (12) | 0.0249 (11) | 0.0285 (11) | −0.0012 (9) | 0.0050 (9) | 0.0002 (9) |
N3 | 0.027 (1) | 0.0198 (9) | 0.0303 (11) | −0.0027 (7) | −0.0006 (8) | −0.0005 (7) |
C4 | 0.0328 (12) | 0.0236 (11) | 0.0255 (12) | −0.0033 (9) | 0.0035 (9) | 0.0005 (8) |
C5 | 0.0474 (15) | 0.0179 (11) | 0.0314 (13) | −0.003 (1) | 0.0077 (11) | 0.0001 (9) |
O4 | 0.0437 (11) | 0.0257 (9) | 0.035 (1) | 0.0016 (7) | −0.0063 (8) | 0.0020 (7) |
O2 | 0.036 (1) | 0.0262 (9) | 0.0417 (11) | 0.0036 (7) | −0.0009 (8) | 0.0020 (7) |
C2—O2 | 1.222 (3) | C4—C5 | 1.460 (3) |
C2—N1 | 1.371 (3) | C5—H52 | 0.83 (3) |
C2—N3 | 1.393 (3) | C5—H51 | 0.86 (3) |
N3—H3 | 0.87 (4) | C5—N1 | 1.457 (3) |
N3—C4 | 1.367 (3) | N1—H1 | 0.95 (3) |
C4—O4 | 1.225 (3) | ||
O2—C2—N1 | 128.2 (2) | H52—C5—H51 | 105 (3) |
O2—C2—N3 | 124.4 (2) | H52—C5—N1 | 113 (2) |
N3—C2—N1 | 107.4 (2) | H51—C5—N1 | 108 (2) |
H3—N3—C4 | 121 (2) | H52—C5—C4 | 114 (2) |
H3—N3—C2 | 127 (2) | H51—C5—C4 | 114 (2) |
C4—N3—C2 | 111.67 (19) | N1—C5—C4 | 104.7 (2) |
O4—C4—C5 | 127.9 (2) | H1—N1—C2 | 120.5 (17) |
O4—C4—N3 | 125.3 (2) | H1—N1—C5 | 130.0 (17) |
C5—C4—N3 | 106.8 (2) | C2—N1—C5 | 109.4 (2) |
D—H···A | D—H | H···A | D···A | D—H···A |
N1—H1···O2i | 0.95 (3) | 2.01 (3) | 2.913 (3) | 158 |
N3—H3···O4ii | 0.87 (4) | 1.98 (4) | 2.852 (3) | 176 |
Symmetry codes: (i) −x+2, −y, −z+2; (ii) −x+1, −y, −z+1. |
Experimental details
Crystal data | |
Chemical formula | C3H4N2O2 |
Mr | 100.08 |
Crystal system, space group | Monoclinic, C2/c |
Temperature (K) | 190 |
a, b, c (Å) | 9.3538 (7), 12.1757 (11), 7.2286 (6) |
β (°) | 104.593 (4) |
V (Å3) | 796.70 (11) |
Z | 8 |
Radiation type | Mo Kα |
µ (mm−1) | 0.14 |
Crystal size (mm) | 0.18 × 0.10 × 0.02 |
Data collection | |
Diffractometer | Nonius KappaCCD area-detector diffractometer |
Absorption correction | Multi-scan DENZO and SCALEPACK (Otwinowski & Minor, 1997) |
Tmin, Tmax | 0.99, 1.00 |
No. of measured, independent and observed [I > −10σ(I)] reflections | 1593, 886, 886 |
Rint | 0.02 |
(sin θ/λ)max (Å−1) | 0.648 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.061, 0.131, 1.13 |
No. of reflections | 886 |
No. of parameters | 77 |
H-atom treatment | Only H-atom coordinates refined |
Δρmax, Δρmin (e Å−3) | 0.27, −0.25 |
Computer programs: COLLECT (Nonius, 1998), DENZO and SCALEPACK (Otwinowski & Minor, 1997), SIR92 (Altomare et al., 1994) and SHELXL97 (Sheldrick, 1997), CRYSTALS (Watkin et al., 1999), CAMERON (Watkin et al., 1996) and ORTEPII (Johnson, 1976), CRYSTALS.
C2—O2 | 1.222 (3) | C4—C5 | 1.460 (3) |
C2—N1 | 1.371 (3) | C5—H52 | 0.83 (3) |
C2—N3 | 1.393 (3) | C5—H51 | 0.86 (3) |
N3—H3 | 0.87 (4) | C5—N1 | 1.457 (3) |
N3—C4 | 1.367 (3) | N1—H1 | 0.95 (3) |
C4—O4 | 1.225 (3) | ||
O2—C2—N1 | 128.2 (2) | O4—C4—N3 | 125.3 (2) |
O2—C2—N3 | 124.4 (2) | C5—C4—N3 | 106.8 (2) |
N3—C2—N1 | 107.4 (2) | N1—C5—C4 | 104.7 (2) |
C4—N3—C2 | 111.67 (19) | C2—N1—C5 | 109.4 (2) |
O4—C4—C5 | 127.9 (2) |
D—H···A | D—H | H···A | D···A | D—H···A |
N1—H1···O2i | 0.95 (3) | 2.01 (3) | 2.913 (3) | 158 |
N3—H3···O4ii | 0.87 (4) | 1.98 (4) | 2.852 (3) | 176 |
Symmetry codes: (i) −x+2, −y, −z+2; (ii) −x+1, −y, −z+1. |
Refcode | Space group | D-H···A | Reference |
BCOCHY | C2/m | N1-H···O2 | Smith-Verdier et al. (1979a) |
N3-H···O4 | |||
GRNSHY mol 1 | P1 | N1-H···O2" | Florencio et al. (1980) |
N3-H···O4" | |||
GRNSHY mol 2 | P1 | N1-H"···O2 | |
N3-H"···O4 | |||
OCSHYD | C2/c | N1-H···O2 | Miller and McPhail (1979) |
N3-H···O4 | |||
VARBAR | P21/c | N1-H···O2 | Rizzi et al. (1989) |
N3-H···O4 |
Refcode | Space group | D-H···A | Reference |
ADUQOF | P212121 | N1-H···O2 | Beilles et al. (2001) |
N3-H···O2 | |||
BEPNIT | P212121 | N1-H···O2 | Cassady and Hawkinson (1982) |
N3-H···O2 | |||
HPHCMS | P21 | N1-H···O2 | Koch et al. (1975) |
N3-H···O4 | |||
OGUVIV | P21 | N1-H···O2 | Stalker et al. (2002) |
N3-H···O4 | |||
XERTUJ mol 1 | P21 | N1-H···O2" | Koos et al. (2000) |
N3-H···O2" | |||
XERTUJ mol 2 | P21 | N1-H"···O2 | |
N3-H"···O2 |
Refcode | Space group | D-H···A | Reference |
DAFFIZ01 | P212121 | N1-H···O4 | Sarges et al. (1985) |
N3-H···O2 | |||
LABTIR | P212121 | N1-H···O4 | Coquerel et al. (1993) |
N3-H···O2 | |||
PHYDAN | Pn21a | N1-H···O4 | Camerman and Camerman (1971) |
N3-H···O2 | |||
PIPVAL | P21 | N1-H···O4 | Modric et al. (1993) |
N3-H···O2 | |||
YECDOZ | P212121 | N1-H···O4 | Park et al. (1994) |
N3-H···O2 |
Refcode | Space group | D-H···A | Reference |
BICSIP | P21/n | N1-H···O2 | Florencio et al. (1982) |
CECKUQ | P1 | N1-H···O2 | Galvez et al. (1983) |
DPHEAD20 mol 1 | P1 | N1-H···O2 | Mastropaolo et al. (1983) |
EZOSHY | P21/c | N1-H···O2 | Smith-Verdier et al. (1979b) |
MANHDT10 | P21/n | N1-H···O2 | Vilches et al. (1981) |
MESYIS mol 1 | P1 | N1-H···O2" | Koos et al. (2001) |
MESYIS mol 2 | P1 | N1-H"···O2 | |
MGSHYD10 mol 1 | P21 | N1-H···O2" | Florencio et al. (1978a) |
MGSHYD10 mol 2 | P21 | N1-H"···O2 | |
MZBSHY | P21/n | N1-H···O2 | Florencio et al. (1979) |
TRSHYD10 | P21/c | N1-H···O2 | Smith-Verdier et al. (1977) |
ALATIN01 | P21/c | N3-H···O2 | Zhang et al. (1992) |
DPHEAD20 mol 2 | P1 | N3-H···O2 | Mastropaolo et al. (1983) |
DPHPZL | P1 | N3-H···O2 | Uno and Shimizu (1980) |
HEGRAH | P21/c | N3-H···O2 | Florencio et al. (1978b) |
VAPZUH | P21/c | N3-H···O2 | Rizzi et al. (1989) |
XERTOD mol 1 | P43 | N3-H···O2" | Koos et al. (2000) |
XERTOD mol 2 | P43 | N3-H"···O2 | |
AHINEK | P21/c | N3-H···O4 | SethuSankar et al. (2002) |
NIVZOH | P21/c | N3-H···O4 | Benedetti et al. (1997) |
COQQEEa | P21 | N1-H···O4" | Mullica et al. (1998) |
N3-H"···O2 |
(a) Although Z'=1, the molecule has an independent hydantoin ring at each end. |
Refcode | Space group | D-H···A | Reference |
NIVZOH | P21/c | N1-H···O2 | Benedetti et al. (1997) |
TOTPIB | P21 | N1-H···O2 | Bravo et al. (1996) |
BAGXOW | P21/c | N1-H···O4 | Terzis et al. (1981) |
HOIMCU mol 1 | P21/n | N1-H···O4 | Poje et al. (1980) |
ROKSOZ | Pna21 | N1-H···O4 | Gauthier et al. (1997) |
SINZEU | P212121 | N1-H···O4 | Galdecki et al. (1986) |
VAPZUH | P21/c | N1-H···O4 | Rizzi et al. (1989) |
GODRAS | P212121 | N3-H···O2 | Eknoian et al. (1999) |
GOPZIU mol 1 | P21 | N3-H···O2" | Agasimundin et al. (1998) |
GOPZIU mol 2 | P21 | N3-H"···O2 | |
ROKSUF | P21/c | N3-H···O2 | Gauthier et al. (1997) |
COQQEEa | P21 | N3-H···O2" | Mullica et al. (1998) |
N1-H"···O4 |
(a) Although Z'=1, the molecule has an independent hydantoin ring at each end. |
Refcode | Space group | D-H···A | Reference |
HOIMCU mol 2 | P21/n | None | Poje et al. (1980) |
JOPPAF | P21 | None | Yamagishi et al. (1992) |
QIBNIY | P21/c | None | SethuSankar et al. (2001) |
Acknowledgements
The authors thank the Cambridge Crystallographic Data Centre for providing the CSD at Aston University.
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Hydantoin, (I), is of interest as the parent compound of the antiepileptic drug diphenylhydantoin and as a supramolecular synthon in its own right. Possessing equal numbers of hydrogen-bond donor (two ring NH) groups and acceptor (two carbonyl O) atoms, it can form intricate networks, but with a different presentation of these groups compared with the six-membered rings so often studied. Probably due to the difficulties with twinning described below, no structure of hydantoin has appeared in the literature. \sch
The atom-numbering scheme is shown in Fig. 1. Electron donation from the ring N atoms to the carbonyl groups, as in resonance structures (Ia)-(Ic), would be expected to lengthen the C═O bonds and shorten the ring C—N bonds, C2═O2 being affected from both sides. The experimental bond distances show no significant differences between the two carbonyl bond lengths or between N1—C2 and N3—C4, but C2—N3 is longer than their average by 0.024 Å (6σ). Thus resonance structure (Ib) appears to be of limited importance. Both carbonyl groups are bent towards atom N3: the angle O2—C2—N1 exceeds O2—C2—N3 by 3.8 (3)° and O4—C4—C5 exceeds O4—C4—N3 by 2.6 (3)°.
A search group was defined, consisting of a hydantoin ring with both NH groups unsubstituted and sp3 hybridization at C5. With disorder, errors or ions excluded and R < 0.1 required, a search (Bruno et al., 2002) of the Cambridge Structural Database (CSD, Version?; Allen, 2002) yielded 41 hits with 50 hydantoin rings in 49 independent molecules after removal of duplicate structure determinations. Mean values of the relevant bond distances, with standard error of the mean in parentheses, confirm the tendency in hydantoin: C2—O2 1.221 (1), C4—O4 1.211 (1), N1—C2 1.342 (2), C2—N3 1.393 (2) and N3—C4 1.362 (1) Å. Bending of one carbonyl bond is common. The mean O2—C2—N1 angle is 127.9 (1)°, compared with 124.5 (1)° for O2—C2—N3, but the other C═O bond lies close to the exterior bisector, mean values being 126.8 (1)° for O4—C4—N3 and 126.3 (1)° for O4—C4—C5.
Ab initio molecular-orbital optimization of hydantoin with GAMESS (Schmidt et al., 1990) in the 6–31G* basis set corroborates the near equality of C═O distances and yields N1—C2, C2—N3 and N3—C4 distances of 1.356, 1.391 and 1.367 Å, respectively. Atomic charges were calculated by the method of Löwdin (1950), chosen because it is based on orthogonalized orbitals and appears to be consistent with electronegativity. Values of −0.350 on N1, −0.382 on O2, −0.275 on N3 and −0.348 on O4 suggest that more negative charge is received by O2 than O4, and more given up by N3 than by N1.
As seen in Fig. 2, each molecule of (I) participates in N—H···O hydrogen bonds, forming a chain of centrosymmetric rings with graph set C22(9) [R22(8)] [R22(8)] (Etter, 1990; Bernstein et al., 1995). Of the 50 independent hydantoin rings found in the search of the CSD, this (pseudo-)centrosymmetric `chain of rings' arrangement occurred in five (Table 3; the atom-numbering scheme has always been made to agree with the IUPAC system used in the present study), while another six exhibited a variant form in which the more electron-dense atom O2 simultaneously accepts N1—H1···O2 and N3—H3···O2 hydrogen bonds, while atom O4 accepts none (Table 4). Chains are also possible. Hydantoins can create an infinite chain in graph set C(5) with atom N1 as donor and atom O4 as acceptor, simultaneously with another C(4) motif having atom N3 as donor and atom O2 as acceptor, thereby creating edge-fused R33(12) rings. This network had five occurrences, always in a non-centrosymmetric space group (Table 5). Scheme 2 here.
Many hydantoin derivatives carry polar substituents on the 5-position, which divert some or all of the hydrogen bonding away from the ring. Thus 21 molecules participate in a single R22(8) motif, 11 involving atom N1 as donor and atom O2 as acceptor, seven with N3 and O2, two with N3 and O4 and one with heterogeneous involvement of N1 with O4 and N3 with O2 (Table 6). Single chains also occur frequently, two C(4) using atoms N1 and O2, five C(5) with N1 and O4, four C(4) with N3 and O2 but none with N3 and O4, and one with heterogeneous chains (Table 7). Finally, three rings only interact with side groups (Table 8). (The total exceeds 50 because two molecules forming one ring and one chain are double-counted.) Of the potential hydrogen-bond donors and acceptors, atom N1 is left unused only three times, O2 just once and N3 not at all, but the less highly charged and less accessible atom O4 is unused 24 times. Thus hydantoin is a versatile supramolecular synthon providing a challenge to attempts at a priori prediction.