raw data letters\(\def\hfill{\hskip 5em}\def\hfil{\hskip 3em}\def\eqno#1{\hfil {#1}}\)

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ISSN: 2414-3146

Twinned L-aspartic acid

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aStructural Biochemistry, Bijvoet Centre for Biomolecular Research, Faculty of Science, Utrecht University, Universiteitsweg 99, 3584 CG Utrecht, The Netherlands
*Correspondence e-mail: [email protected]

Edited by S. Coles, University of Southampton, United Kingdom (Received 5 June 2025; accepted 9 October 2025; online 31 October 2025)

By improving the data quality with appropriate twin handling in the intensity integration, difference-Fourier maps show indications for asymmetric double-well hydrogen bonds between the carboxylate groups of the title molecule. Refinements with spherical scattering factors (IAM) and with non-spherical scattering factors (NoSpherA2) are consistent with this observation.


Metadata imgCIF file: https://doi.org/10.1107/S241431462500879X/ii4003img.cif

Introduction

The Cambridge Structural Database (CSD, version 5.46, November 2024; Groom et al., 2016View full citation) contains seven entries for the enantiopure amino acid L-aspartic acid. Six of these entries are of the monoclinic polymorph with space group P21, and one entry is of the orthorhombic polymorph with space group P212121 (refcode LASPRT06; Illin, 2016View full citation). In the gas phase, the most stable form of aspartic acid is a neutral molecule with a neutral NH2 group and two neutral carboxylic acid groups (Li et al., 2007View full citation). In the monoclinic L-aspartic acid, the molecule is zwitterionic with a positively charged NH3 group, the main chain carboxylate is deprotonated and negatively charged, while the side-chain carboxylic acid is protonated and neutral. The orthorhombic polymorph is also zwitterionic but here the main-chain carboxylic acid is protonated and the side-chain carboxylate is deprotonated (Fig. 1[link]).

[Figure 1]
Figure 1
Reciprocal space geometry in the twinned title compound. (a) The main lattice is drawn in red, the interfering lattice in green. (b) Overlay of Bernal's twin cell in cyan with the current twin interpretation in red and green.

In both the monoclinic and the orthorhombic polymorphs, the neutral carboxylic acid group is connected by an intermolecular hydrogen bond to the negatively charged carboxylate group. This raises the question whether the bridging hydrogen atom is localized on one of the two groups. Unfortunately, the data quality of the six published monoclinic structures is not sufficient to answer this question. A problem is that this monoclinic polymorph is affected by twinning. A detailed analysis of the twinning is given by (Derissen et al., 1968View full citation) while the chirality of the asymmetric center seems to be wrong in their description. The present study (Table 1[link]) aims at obtaining better data of this twinned system.

Table 1
Experimental details

Raw data      
DOI https://doi.org/10.5281/zenodo.15432050    
Data archive Zenodo    
Data format CBF    
Data collection      
Beamline/diffractometer      
Detector APEXII    
Temperature (K) 150    
Radiation type Mo Mathematical equation    
Wavelength (Å) 0.71073    
Beam centre (mm) 30.485, 30.847    
Detector axis Z    
Detector distance (mm) 41    
Swing angle (Mathematical equation) −26.72    
Pixel size (mm) Mathematical equation    
No. of pixels Mathematical equation    
No. of scans 7    
Exposure time per frame (s) 5    
Scan axis Start angle, increment per frame (Mathematical equation) Scan range (Mathematical equation) No. of frames
Mathematical equation Mathematical equation Mathematical equation 1200
Mathematical equation Mathematical equation Mathematical equation 394
Mathematical equation Mathematical equation Mathematical equation 394
Mathematical equation Mathematical equation Mathematical equation 292
Mathematical equation Mathematical equation Mathematical equation 394
Mathematical equation Mathematical equation Mathematical equation 394
Mathematical equation Mathematical equation Mathematical equation 292

Data processing and refinement

Indexing of the reflections with the DIRAX program (Duisenberg, 1992View full citation) and a high tolerance finds the twin cell, which had first been described in 1931 by BernalView full citation. In this monoclinic twin cell, the unit-cell parameters are a = 15.134, b = 6.918, c = 5.124 Å, β = 99.02°, and V = 529.81 Å3. Among the DIRAX solutions there also is the true unit cell according to (Derissen et al., 1968View full citation) as well as the second twin component. The volume of the true unit cell is half of the Bernal unit cell. The twin law is then a twofold rotation about uvw = [100]. The geometry of the twin lattice is shown in Fig. 1[link].

As consequence of the twinning, intensity integration with the Eval15 software (Schreurs et al., 2010View full citation) was based on two orientation matrices. The profile prediction involved an isotropic mosaicity of 0.275°. An example of an overlapping reflection is displayed in Fig. 2[link].

[Figure 2]
Figure 2
Height plot of the overlapping reflection between hkl = (24Mathematical equation) of the main lattice, and hkl = (2Mathematical equation4) of the interfering lattice. (a) observed profile (central frame). (b) model profile as simulated by Eval15.

The result file of the Eval15 integration contains the non-overlapping reflections of twin component 1, the non-overlapping reflections of twin component 2 and the overlapping reflections of both components. This file was read into the TWINABS program (Sevvana et al., 2019View full citation) for absorption correction, outlier rejection, error model and merging. After manual removal of space-group absences, the merged reflection file contains 1063 non-overlapping reflections of component 1 and 494 overlapping reflections. This file was used for the structure refinement. Further details are given in Table 2[link].

Table 2
Experimental details (continued)

Crystal data    
Chemical formula C4H7NO4  
Mr 133.105  
Crystal system, space group monoclinic, P21  
a, b, c (Å) 5.1237(2), 6.9197(3), 7.6006(4)  
Mathematical equation (Mathematical equation) 100.442(2)  
V (Å 3) 265.013(19)  
Z 2  
Mathematical equation (mmMathematical equation) 0.151  
Crystal size (mm) Mathematical equation  
Data processing    
Absorption correction multi-scan (TWINABS2012/1; Sevvana et al., 2019View full citation)  
Tmin, Tmax 0.6541, 0.7460  
Number of measured, independent and observed Mathematical equation reflections 11270, 1557, 1522  
Rint 0.0272  
Mathematical equationMathematical equation) 0.704  
Refinement    
  Independent atom model NoSpherA2
No. of reflections 1557 1557
No. of parameters 99 141
H-atom treatment O—H freely, C—H riding model freely
Mathematical equation, wR(F2) , S 0.0258, 0.0685, 1.0547 0.0165, 0.0369, 0.9865
Twin fraction 0.537(3) 0.5372(15)
Weighting scheme a = 0.0460, b = 0.0143 a = 0.0189, b = 0.0080
Mathematical equation, Mathematical equation (e ÅMathematical equation) 0.3047, −0.1757 0.3701, −00.1923
Bond precision C—C (Å) 0.0015 0.0010
     
a and b are parameters of the SHELXL weighting scheme w = 1/[σ2(Fo2) + (a × P)2 + b × P ] with P = (Fo2 + 2Fc2)/3.

Data description

The true unit cell can be transformed to Bernal's twin cell with the matrix (1, 0, 2 / 0, 1, 0 /−1, 0, 0). The determinant of this matrix is 2 and the twin index is consequently 2. On the other hand, Bernal's primitive twin cell can be expressed as a C-centered pseudo-orthorhombic lattice with a = 5.124, b = 29.901, c = 6.920 Å, α = β = 90,γ = 90.74°. The twin obliquity (Le Page, 2002View full citation) of the current system is thus δ = 0.74°. The twinning fulfills Mallard's criterion (Nespolo & Ferraris, 2005View full citation), which requires a twin index smaller than 6 and a twin obliquity smaller than 6°.

It should be noted that the twin operation needs to be a first kind operation (rotation) because a second kind operation (mirror) is not possible in this enantiopure crystal.

All hydrogen bonds are formed in the (001) plane. These hydrogen-bonded layers are connected by covalent carbon bonds into a three-dimensional network. The twin operation about vector uvw = [100] can be alternatively be described as a twofold rotation about vector hkl = (001) in the monoclinic system. Our model for the twin boundary is therefore based on the hydrogen-bonded layers. It should be noted that face (001) is also most prominent in the Bravais–Friedel–Donnay–Harker morphology prediction (BFDH; Donnay & Harker, 1937View full citation), see Table 3[link].

Table 3
BFDH morphology prediction as calculated with the Mercury software (Macrae et al., 2006View full citation)

Face Perp. distance Relative area
(0,0,1) 13.3784 0.153
Mathematical equation 19.6933 0.081
(0,1,1) 19.6933 0.081
(1,0,0) 19.8458 0.086
Mathematical equation 21.8311 0.034
Mathematical equation 24.55 0.026
(1,1,0) 24.55 0.026
Mathematical equation 26.181 0.004
Mathematical equation 26.181 0.004

Structure refinement with an independent-atom model in the OLEX2 software (Dolomanov et al., 2009View full citation; Bourhis et al., 2015View full citation) shows a significant residual electron density on the O—H⋯O hydrogen bond (Fig. 3[link]), which can be an indication for a double-well situation. The peak height for the modeled hydrogen atom and the residual peak are not equal. A ratio of 2:1 can be guessed. This makes it an asymmetric double-well hydrogen bond, such as is frequently observed in hydrogen bonds of moderate strength (Gilli & Gilli, 2010View full citation).

[Figure 3]
Figure 3
Residual electron density on the O—H⋯O hydrogen bond. (a) independent-atom model (contour level 0.16 e Å−3. (b) Non-spherical NoSpherA2 model (contour level 0.10 e Å−3.

In crystal structure refinements, the use of non-spherical scattering factors can improve the reliability of hydrogen-atom positions (Woińska et al., 2016View full citation). In the present case, the use of the NoSpherA2 approach (Kleemiss et al., 2021View full citation) in OLEX2 improved the R-values significantly. As is common with this method, the hydrogen atoms were refined with anisotropic displacement parameters. The C—H and N—H hydrogen atoms could be refined this way but the O—H hydrogen atom becomes non-positive definite. In the final refinements, the O—H hydrogen atom was therefore refined isotropically. We believe that this refinement situation confirms the double-well potential as does the remaining residual electron density on the O—H⋯O hydrogen bond (Fig. 3[link]).

Supporting information


Computing details top

(Ia) top
Crystal data top
C4H7NO4F(000) = 140.133
Mr = 133.10Dx = 1.668 Mg m3
Monoclinic, P21Mo Kα radiation, λ = 0.71073 Å
a = 5.1237 (2) ÅCell parameters from 4378 reflections
b = 6.9197 (3) Åθ = 4.0–30.0°
c = 7.6006 (4) ŵ = 0.15 mm1
β = 100.442 (2)°T = 150 K
V = 265.01 (2) Å3Plate, colourless
Z = 20.32 × 0.16 × 0.05 mm
Data collection top
Bruker Kappa ApexII
diffractometer
1522 reflections with I 2u(I)
Radiation source: sealed tubeRint = 0.027
φ and ω scansθmax = 30.0°, θmin = 2.7°
Absorption correction: multi-scan
TWINABS-2012/1
h = 77
Tmin = 0.654, Tmax = 0.746k = 99
11270 measured reflectionsl = 1010
1557 independent reflections
Refinement top
Refinement on F2Secondary atom site location: difference Fourier map
Least-squares matrix: fullHydrogen site location: difference Fourier map
R[F2 > 2σ(F2)] = 0.026H atoms treated by a mixture of independent and constrained refinement
wR(F2) = 0.069 w = 1/[σ2(Fo2) + (0.046P)2 + 0.0143P]
where P = (Fo2 + 2Fc2)/3
S = 1.06(Δ/σ)max = 0.001
1557 reflectionsΔρmax = 0.31 e Å3
99 parametersΔρmin = 0.18 e Å3
1 restraintAbsolute structure: Hooft, R.W.W., Straver, L.H., Spek, A.L. (2010). J. Appl. Cryst., 43, 665-668.
5 constraintsAbsolute structure parameter: 0.1 (2)
Primary atom site location: dual
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
O10.68132 (15)0.51119 (13)0.01802 (11)0.01613 (18)
O20.25187 (16)0.52336 (13)0.10959 (10)0.01648 (18)
O30.38789 (16)0.48596 (13)0.58289 (11)0.01603 (17)
H30.333 (5)0.489 (5)0.691 (3)0.051 (6)*
O40.0023 (2)0.33238 (17)0.49259 (13)0.0283 (2)
N10.14057 (19)0.71721 (14)0.18338 (12)0.01218 (18)
H1a0.019 (3)0.662 (3)0.118 (2)0.018 (4)*
H1b0.102 (4)0.754 (3)0.295 (3)0.023 (4)*
H1c0.183 (4)0.826 (4)0.126 (3)0.033 (5)*
C10.4400 (2)0.53553 (15)0.02088 (13)0.01090 (19)
C20.3650 (2)0.57621 (15)0.20458 (14)0.01019 (19)
H20.5217 (2)0.63118 (15)0.28706 (14)0.0122 (2)*
C30.2852 (3)0.38469 (16)0.27988 (14)0.0144 (2)
H3a0.1335 (3)0.33005 (16)0.19522 (14)0.0172 (2)*
H3b0.4351 (3)0.29300 (16)0.28733 (14)0.0172 (2)*
C40.2085 (2)0.40003 (15)0.46296 (14)0.0136 (2)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
O10.0128 (3)0.0202 (4)0.0161 (3)0.0004 (3)0.0045 (3)0.0042 (3)
O20.0151 (4)0.0252 (4)0.0095 (3)0.0014 (4)0.0030 (3)0.0030 (3)
O30.0178 (4)0.0199 (4)0.0109 (3)0.0024 (3)0.0041 (3)0.0026 (3)
O40.0306 (5)0.0407 (6)0.0151 (4)0.0180 (5)0.0085 (4)0.0031 (4)
N10.0144 (4)0.0121 (4)0.0108 (4)0.0022 (4)0.0041 (3)0.0004 (3)
C10.0144 (4)0.0095 (4)0.0100 (4)0.0016 (4)0.0054 (3)0.0006 (4)
C20.0120 (4)0.0109 (5)0.0080 (4)0.0012 (3)0.0027 (4)0.0009 (3)
C30.0239 (5)0.0108 (4)0.0093 (4)0.0009 (4)0.0057 (4)0.0006 (4)
C40.0203 (5)0.0117 (4)0.0090 (4)0.0003 (4)0.0033 (4)0.0013 (4)
Geometric parameters (Å, º) top
O1—C11.2522 (13)N1—C21.4943 (14)
O2—C11.2541 (13)C1—C21.5398 (14)
O3—H30.91 (3)C2—H21.0000
O3—C41.3136 (14)C2—C31.5283 (15)
O4—C41.2136 (16)C3—H3a0.9900
N1—H1a0.957 (18)C3—H3b0.9900
N1—H1b0.941 (19)C3—C41.5166 (14)
N1—H1c0.92 (2)
C4—O3—H3110.1 (16)C3—C2—N1110.72 (9)
H1b—N1—H1a106.0 (15)C3—C2—C1107.98 (8)
H1c—N1—H1a109.8 (17)C3—C2—H2109.51 (6)
H1c—N1—H1b108.0 (18)H3a—C3—C2108.64 (6)
C2—N1—H1a111.4 (11)H3b—C3—C2108.64 (6)
C2—N1—H1b111.2 (12)H3b—C3—H3a107.6
C2—N1—H1c110.3 (13)C4—C3—C2114.47 (8)
O2—C1—O1126.66 (10)C4—C3—H3a108.64 (6)
C2—C1—O1116.74 (9)C4—C3—H3b108.64 (6)
C2—C1—O2116.55 (9)O4—C4—O3124.69 (10)
C1—C2—N1109.58 (8)C3—C4—O3113.79 (10)
H2—C2—N1109.51 (5)C3—C4—O4121.49 (10)
H2—C2—C1109.51 (5)
O1—C1—C2—N1143.71 (10)O3—C4—C3—C253.03 (11)
O1—C1—C2—C395.61 (11)O4—C4—C3—C2129.02 (12)
O2—C1—C2—N138.75 (11)N1—C2—C3—C460.79 (9)
O2—C1—C2—C381.93 (11)C1—C2—C3—C4179.25 (8)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
O3—H3···O2i0.91 (3)1.66 (3)2.5703 (12)172 (3)
N1—H1a···O1ii0.957 (18)1.896 (18)2.8420 (13)169.2 (16)
N1—H1b···O4iii0.941 (19)1.870 (19)2.8089 (13)175.3 (17)
N1—H1c···O1iv0.92 (2)1.90 (2)2.7965 (12)166 (2)
Symmetry codes: (i) x, y, z+1; (ii) x1, y, z; (iii) x, y+1/2, z+1; (iv) x+1, y+1/2, z.
(Ib) top
Crystal data top
C4H7NO4F(000) = 140.133
Mr = 133.10Dx = 1.668 Mg m3
Monoclinic, P21Mo Kα radiation, λ = 0.71073 Å
a = 5.1237 (2) ÅCell parameters from 4378 reflections
b = 6.9197 (3) Åθ = 4.0–30.0°
c = 7.6006 (4) ŵ = 0.15 mm1
β = 100.442 (2)°T = 150 K
V = 265.01 (2) Å3Plate, colourless
Z = 20.32 × 0.16 × 0.05 mm
Data collection top
Bruker Kappa ApexII
diffractometer
1522 reflections with I 2u(I)
Radiation source: sealed tubeRint = 0.027
φ and ω scansθmax = 30.0°, θmin = 2.7°
Absorption correction: multi-scan
TWINABS-2012/1
h = 77
Tmin = 0.654, Tmax = 0.746k = 99
11270 measured reflectionsl = 1010
1557 independent reflections
Refinement top
Refinement on F2Secondary atom site location: difference Fourier map
Least-squares matrix: fullHydrogen site location: difference Fourier map
R[F2 > 2σ(F2)] = 0.017All H-atom parameters refined
wR(F2) = 0.037 w = 1/[σ2(Fo2) + (0.0189P)2 + 0.008P]
where P = (Fo2 + 2Fc2)/3
S = 0.99(Δ/σ)max = 0.001
1557 reflectionsΔρmax = 0.37 e Å3
141 parametersΔρmin = 0.19 e Å3
1 restraintAbsolute structure: Hooft, R.W.W., Straver, L.H., Spek, A.L. (2010). J. Appl. Cryst., 43, 665-668.
0 constraintsAbsolute structure parameter: 0.1 (2)
Primary atom site location: dual
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
O10.68076 (10)0.51134 (8)0.01788 (7)0.01490 (12)
O20.25205 (10)0.52322 (8)0.10925 (6)0.01523 (12)
O30.38709 (11)0.48573 (9)0.58294 (7)0.01495 (12)
H30.324 (3)0.498 (3)0.6996 (18)0.032 (3)*
O40.00246 (15)0.33224 (10)0.49271 (8)0.02682 (15)
N10.14053 (14)0.71719 (9)0.18330 (9)0.01114 (13)
H1a0.026 (2)0.6565 (18)0.1121 (16)0.024 (3)
H1b0.101 (3)0.761 (2)0.3010 (17)0.036 (3)
H1c0.195 (3)0.8350 (19)0.1147 (16)0.030 (3)
C10.43986 (14)0.53548 (10)0.02129 (8)0.00959 (13)
C20.36425 (15)0.57630 (10)0.20459 (9)0.00931 (13)
H2a0.5401 (19)0.6369 (18)0.2944 (14)0.020 (3)
C30.28535 (18)0.38494 (11)0.28029 (10)0.01333 (14)
H3a0.122 (3)0.3189 (19)0.1867 (16)0.034 (3)
H3b0.468 (3)0.291 (2)0.2925 (18)0.038 (4)
C40.20931 (16)0.40001 (10)0.46282 (9)0.01254 (14)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
O10.0111 (2)0.0199 (3)0.0145 (2)0.0005 (2)0.00426 (19)0.0048 (2)
O20.0133 (2)0.0251 (3)0.0077 (2)0.0014 (3)0.00291 (19)0.0029 (2)
O30.0162 (3)0.0190 (3)0.0103 (2)0.0025 (2)0.0039 (2)0.0023 (2)
O40.0289 (3)0.0405 (4)0.0128 (2)0.0194 (3)0.0083 (2)0.0043 (3)
N10.0130 (3)0.0111 (3)0.0097 (3)0.0027 (3)0.0032 (3)0.0001 (3)
H1a0.016 (6)0.014 (6)0.038 (8)0.004 (6)0.008 (6)0.003 (7)
H1b0.045 (8)0.030 (8)0.032 (7)0.014 (7)0.002 (7)0.004 (6)
H1c0.049 (9)0.015 (7)0.029 (7)0.006 (7)0.018 (7)0.002 (6)
C10.0105 (3)0.0106 (3)0.0084 (3)0.0010 (3)0.0034 (2)0.0011 (2)
C20.0119 (3)0.0101 (3)0.0065 (3)0.0006 (3)0.0031 (3)0.0013 (2)
H2a0.012 (6)0.022 (6)0.026 (6)0.012 (5)0.005 (5)0.004 (5)
C30.0227 (4)0.0100 (3)0.0081 (3)0.0010 (3)0.0050 (3)0.0002 (3)
H3a0.057 (9)0.019 (7)0.027 (7)0.014 (7)0.011 (7)0.004 (6)
H3b0.034 (8)0.045 (10)0.035 (8)0.027 (8)0.007 (7)0.004 (7)
C40.0184 (3)0.0123 (3)0.0077 (3)0.0017 (3)0.0043 (3)0.0008 (2)
Geometric parameters (Å, º) top
O1—C11.2505 (9)N1—C21.4911 (10)
O2—C11.2536 (8)C1—C21.5383 (10)
O3—H31.001 (14)C2—H2a1.109 (10)
O3—C41.3090 (9)C2—C31.5271 (10)
O4—C41.2175 (10)C3—H3a1.096 (13)
N1—H1a1.013 (12)C3—H3b1.128 (13)
N1—H1b1.001 (13)C3—C41.5111 (10)
N1—H1c1.032 (13)
C4—O3—H3111.1 (8)C3—C2—N1110.92 (6)
H1b—N1—H1a108.5 (11)C3—C2—C1108.02 (5)
H1c—N1—H1a109.5 (10)C3—C2—H2a109.7 (6)
H1c—N1—H1b109.0 (11)H3a—C3—C2109.9 (6)
C2—N1—H1a110.0 (7)H3b—C3—C2104.9 (8)
C2—N1—H1b112.3 (8)H3b—C3—H3a109.8 (11)
C2—N1—H1c107.4 (7)C4—C3—C2114.58 (6)
O2—C1—O1126.40 (6)C4—C3—H3a109.3 (6)
C2—C1—O1117.06 (6)C4—C3—H3b108.2 (7)
C2—C1—O2116.49 (6)O4—C4—O3124.31 (7)
C1—C2—N1109.67 (6)C3—C4—O3114.14 (7)
H2a—C2—N1110.0 (6)C3—C4—O4121.52 (7)
H2a—C2—C1108.5 (5)
O1—C1—C2—N1143.52 (7)O3—C4—C3—C253.08 (7)
O1—C1—C2—C395.49 (8)O4—C4—C3—C2128.79 (8)
O2—C1—C2—N138.83 (8)N1—C2—C3—C460.75 (7)
O2—C1—C2—C382.16 (7)C1—C2—C3—C4179.04 (6)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
O3—H3···O2i1.001 (14)1.572 (14)2.5702 (7)174.6 (13)
N1—H1a···O1ii1.013 (12)1.843 (13)2.8435 (9)168.9 (11)
N1—H1b···O4iii1.001 (13)1.811 (13)2.8086 (9)174.5 (13)
N1—H1c···O1iv1.032 (13)1.773 (13)2.7977 (9)171.0 (11)
Symmetry codes: (i) x, y, z+1; (ii) x1, y, z; (iii) x, y+1/2, z+1; (iv) x+1, y+1/2, z.
 

Acknowledgements

The X-ray diffractometer has been financed by the Netherlands Organization for Scientific Research (NWO).

Conflict of interest

There are no conflicts of interest.

Funding information

The following funding is acknowledged: Nederlandse Organisatie voor Wetenschappelijk Onderzoek.

References

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