organic compounds\(\def\hfill{\hskip 5em}\def\hfil{\hskip 3em}\def\eqno#1{\hfil {#1}}\)

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ISSN: 2414-3146

2-Amino-6-nitro-1,3-benzo­thia­zol-3-ium 3-carb­­oxy-4-hy­dr­oxy­benzene-1-sulfonate

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aLaboratory of Natural Products and Applied Organic Synthesis (LANAPOS), Department of Organic Chemistry, Faculty of Science, University of Yaounde I, PO Box 812 Yaounde, Republic of , Cameroon, and bDepartment of Chemistry, University of Mainz, Duesbergweg 10-14, 55099 Mainz, Germany
*Correspondence e-mail: [email protected]

Edited by W. T. A. Harrison, University of Aberdeen, United Kingdom (Received 15 May 2025; accepted 26 May 2025; online 30 May 2025)

In the title salt, C7H6N3O2S+·C7H5O6S, the cation is protonated at the thia­zole N atom and the dihedral angle between the nitro group and its attached benzene ring is 3.6 (4)°. In the anion, the sulfonate group is deprotonated and the dihedral angle between the carb­oxy­lic acid grouping and its attached ring is 7.1 (4)° and an intra­molecular O—H⋯O hydrogen bond occurs. In the crystal, cation-to-anion N—H⋯O and anion-to-anion O—H⋯O hydrogen bonds link the component ions into (101) sheets. Aromatic ππ stacking and weak C—H⋯O and C—H⋯S inter­actions also occur.

3D view (loading...)
[Scheme 3D1]
Chemical scheme
[Scheme 1]

Structure description

Salicylic acid and benzo­thia­zole derivatives are present in several skeletons with different biological activities (Pavle et al., 2015[Pavle, R., Slavimir, V., Nenad, S., Dušan, S., Ivan, I., Darko, L., Dušica, R. & Nebojša, R. (2015). Acta Fac. Med. Naissensis 32, 259-265.]; Ekinci et al., 2011[Ekinci, D., Şentürk, M., Küfrevioğlu, Ö. İ. & Öİ, (2011). Expert Opin. Ther. Pat. 21, 1831-1841.]; Yadav et al., 2023[Yadav, K. P., Rahman, M. A., Nishad, S., Maurya, S. K., Anas, M. & Mujahid, M. (2023). Intelligent Pharmacy 01, 122-132.]; Djuidje et al., 2022[Djuidje, E. N., Barbari, R., Baldisserotto, A., Durini, E., Sciabica, S., Balzarini, J., Liekens, S., Vertuani, S. & Manfredini, S. (2022). Antioxidants 11, 407.]). The assembly of several pharmacophores within a single skeleton, known as hybrid mol­ecules (Shaveta et al., 2016[Shaveta, , Mishra, S. & Singh, P. (2016). Eur. J. Med. Chem. 124, 500-536.]), is an emerging approach to drug design. The association of pharmacophores into one mol­ecule can be achieved through the creation of strong σ bonds or by the formation of ionic bonds through the synthesis of salts (Singh et al., 2022[Singh, A. K., Kumar, A., Singh, H., Sonawane, P., Paliwal, H., Thareja, S., Pathak, P., Grishina, M., Jaremko, M., Emwas, A.-H., et al. (2022). Pharmaceuticals 15, 1071.]). The formulation of drugs in salt form has the advantage of improving the solubility of the active ingredient in the physiological fluids (Gupta et al., 2018[Gupta, D., Bhatia, D., Dave, V., Sutariya, V. & Varghese Gupta, S. (2018). Molecules 23, 1719.]), as well as solving problems of stability, toxicity, and low absorption (Sekhon, 2011[Sekhon, B. S. (2011). Asian J. Pharm. Biol. Res. 01, 395-411.]). Salts of benzo­thia­zole derivatives possess auxin-like activity (Giannella et al., 1971[Giannella, M., Gualtieri, F. & Melchiorre, C. (1971). Phytochemistry 10, 539-544.]), while salts of salicylic acid are used in the flavoring of foods, sweets, beverages and pharmaceuticals (Ekinci et al., 2011[Ekinci, D., Şentürk, M., Küfrevioğlu, Ö. İ. & Öİ, (2011). Expert Opin. Ther. Pat. 21, 1831-1841.]).

The combination of salicylic acid and 2-amino­benzo­thia­zole fragments could lead to a hybrid salt that combines the biological potentials of the different fragments and we now describe the structure of the title mol­ecular salt, C7H6N3O2S+·C7H5O6S (Fig. 1[link]). The cation is protonated at the thia­zole N23 atom and the dihedral angle between the N24/O26/O27 nitro group and its attached C15–C20 benzene ring is 3.6 (4)°. In the anion, the S9/O10/O11/O12 sulfonate group is deprotonated and the dihedral angle between the C7/O13/O14 carb­oxy­lic acid grouping and its attached C1–C6 ring is 7.1 (2)°. An intra­molecular O8—H8⋯O13 hydrogen bond (Table 1[link]) occurs in the anion. The cation and anion in the asymmetric unit lie in approximately the same plane with a dihedral angle between the best planes through the ring systems of 10.75 (12)°.

Table 1
Hydrogen-bond geometry (Å, °)

D—H⋯A D—H H⋯A DA D—H⋯A
O8—H8⋯O13 0.81 (5) 1.94 (5) 2.631 (4) 143 (5)
O14—H144⋯O12i 0.87 (5) 1.70 (5) 2.564 (3) 168 (5)
N23—H23⋯O11 0.82 (5) 1.95 (5) 2.682 (4) 150 (4)
N25—H25A⋯O11 0.89 (5) 2.20 (5) 2.920 (4) 138 (4)
N25—H25A⋯O13ii 0.89 (5) 2.42 (5) 2.964 (4) 119 (4)
N25—H25B⋯O10iii 0.90 (5) 2.19 (5) 2.967 (4) 144 (4)
N25—H25B⋯O26iv 0.90 (5) 2.51 (5) 3.177 (4) 132 (4)
C3—H3⋯S21v 0.95 2.85 3.670 (4) 145
C6—H6⋯O8vi 0.95 2.60 3.446 (4) 149
C20—H20⋯O14 0.95 2.50 3.413 (4) 160
Symmetry codes: (i) Mathematical equation; (ii) Mathematical equation; (iii) Mathematical equation; (iv) Mathematical equation; (v) Mathematical equation; (vi) Mathematical equation.
[Figure 1]
Figure 1
The asymmetric unit of the title compound with displacement ellipsoids drawn at the 50% probability level.

In the crystal (Fig. 2[link]), anion-to-anion O14—H144⋯O12 hydrogen bonds link the anions into [10Mathematical equation] chains and cation-to-anion N—H⋯O links generate (10Mathematical equation) sheets. Aromatic ππ stacking with a centroid–centroid distance of 3.7043 (18) Å and a slippage of 0.862 Å occurs between the centroids of the C1–C6 and C15–C20 benzene rings and weak C—H⋯O and C—H⋯S inter­actions also occur.

[Figure 2]
Figure 2
Part of the packing diagram viewed along b-axis direction. Hydrogen bonds are shown with dashed lines. Hydrogen atoms attached to carbon atoms are omitted for clarity.

Synthesis and crystallization

A mixture of 5 ml of an ethano­lic solution of 2-amino-6-nitro­benzo­thia­zole (0.975 g, 5 mmol) and 5 ml of an ethano­lic solution of sulfosalicylic acid (1.225 g, 5 mmol) was refluxed for 2 h. The yellow crystalline precipitate was collected on a filter and recrystallized from ethanol solution to give 1.951 g (98%) of the title salt in the form of yellow blocks. For spectroscopic and analytical details, see Djossu et al. (2025[Djossu, F. K. D., Tsemeugne, J., Mbarga, P. E., Tamokou, J. D. D., Matsuete, T. G., Tsamo, T. A., Sielinou, T. V., Mmutlane, E. M., Mkounga, P., Schollmeyer, D., Sopbué, F. E. & Nkengfack Augustin, A. E. (2025). Fut. Med. Chem. (submitted March 2025).]).

Refinement

Crystal data, data collection and structure refinement details are summarized in Table 2[link].

Table 2
Experimental details

Crystal data
Chemical formula C7H6N3O2S+·C7H5O6S
Mr 413.38
Crystal system, space group Monoclinic, P21/n
Temperature (K) 120
a, b, c (Å) 7.8421 (3), 12.3037 (5), 16.0821 (6)
β (°) 96.081 (3)
V3) 1542.98 (10)
Z 4
Radiation type Mo Kα
μ (mm−1) 0.40
Crystal size (mm) 0.15 × 0.08 × 0.05
 
Data collection
Diffractometer Stoe IPDS 2T
Absorption correction Integration (X-RED; Stoe & Cie, 2020[Stoe & Cie (2020). X-RED and X-AREA. Stoe & Cie, Darmstadt, Germany.])
Tmin, Tmax 0.952, 0.977
No. of measured, independent and observed [I > 2σ(I)] reflections 7249, 3652, 2894
Rint 0.036
(sin θ/λ)max−1) 0.659
 
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.060, 0.147, 1.16
No. of reflections 3652
No. of parameters 259
H-atom treatment H atoms treated by a mixture of independent and constrained refinement
Δρmax, Δρmin (e Å−3) 0.52, −0.54
Computer programs: X-AREA WinXpose, Recipe and Integrate (Stoe & Cie, 2020[Stoe & Cie (2020). X-RED and X-AREA. Stoe & Cie, Darmstadt, Germany.]), SHELXT2014 (Sheldrick, 2015a[Sheldrick, G. M. (2015a). Acta Cryst. A71, 3-8.]), SHELXL2019/2 (Sheldrick, 2015b[Sheldrick, G. M. (2015b). Acta Cryst. C71, 3-8.]) and PLATON (Spek, 2009[Spek, A. L. (2009). Acta Cryst. D65, 148-155.]).

Structural data


Computing details top

2-Amino-6-nitro-1,3-benzothiazol-3-ium 3-carboxy-4-hydroxybenzene-1-sulfonate top
Crystal data top
C7H6N3O2S+·C7H5O6SF(000) = 848
Mr = 413.38Dx = 1.779 Mg m3
Monoclinic, P21/nMo Kα radiation, λ = 0.71073 Å
a = 7.8421 (3) ÅCell parameters from 7727 reflections
b = 12.3037 (5) Åθ = 2.8–28.4°
c = 16.0821 (6) ŵ = 0.40 mm1
β = 96.081 (3)°T = 120 K
V = 1542.98 (10) Å3Block, yellow
Z = 40.15 × 0.08 × 0.05 mm
Data collection top
Stoe IPDS 2T
diffractometer
3652 independent reflections
Radiation source: sealed X-ray tube, 12x0.4mm long-fine focus2894 reflections with I > 2σ(I)
Detector resolution: 6.67 pixels mm-1Rint = 0.036
rotation method, ω scansθmax = 28.0°, θmin = 2.8°
Absorption correction: integration
(X-RED; Stoe & Cie, 2020)
h = 1010
Tmin = 0.952, Tmax = 0.977k = 1614
7249 measured reflectionsl = 2119
Refinement top
Refinement on F2Primary atom site location: dual
Least-squares matrix: fullHydrogen site location: mixed
R[F2 > 2σ(F2)] = 0.060H atoms treated by a mixture of independent and constrained refinement
wR(F2) = 0.147 w = 1/[σ2(Fo2) + (0.0372P)2 + 5.2258P]
where P = (Fo2 + 2Fc2)/3
S = 1.16(Δ/σ)max < 0.001
3652 reflectionsΔρmax = 0.52 e Å3
259 parametersΔρmin = 0.54 e Å3
0 restraints
Special details top

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. Hydrogen atoms attached to carbon atoms were placed at calculated positions and were refined in the riding-model approximation with C—H = 0.99 Å and Uiso(H) = 1.2 Ueq(C).

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
C10.6518 (4)0.0838 (3)0.2698 (2)0.0158 (6)
C20.6533 (4)0.0250 (3)0.2968 (2)0.0192 (7)
C30.7293 (4)0.0523 (3)0.3765 (2)0.0195 (7)
H30.7311830.1257860.3946620.023*
C40.8015 (4)0.0278 (3)0.4288 (2)0.0182 (7)
H40.8493990.0094020.4837480.022*
C50.8050 (4)0.1353 (3)0.4021 (2)0.0159 (6)
C60.7324 (4)0.1627 (3)0.3226 (2)0.0166 (6)
H60.7374630.2357280.3039050.020*
C70.5593 (4)0.1147 (3)0.1885 (2)0.0178 (6)
O80.5814 (3)0.1059 (2)0.24785 (17)0.0249 (6)
H80.544 (6)0.083 (4)0.202 (3)0.037*
S90.89932 (10)0.23678 (7)0.46895 (5)0.01698 (19)
O101.0829 (3)0.2334 (2)0.46593 (17)0.0284 (6)
O110.8229 (3)0.3393 (2)0.44040 (16)0.0271 (6)
O120.8540 (3)0.2077 (2)0.55230 (15)0.0253 (6)
O130.4885 (3)0.0483 (2)0.13908 (15)0.0218 (5)
O140.5567 (3)0.2203 (2)0.17555 (15)0.0225 (5)
H1440.494 (6)0.238 (4)0.129 (3)0.034*
C150.3114 (4)0.5144 (3)0.1841 (2)0.0215 (7)
H150.2669750.4751660.1357080.026*
C160.2677 (4)0.6222 (3)0.1932 (2)0.0201 (7)
C170.3252 (4)0.6844 (3)0.2627 (2)0.0197 (7)
H170.2936110.7585440.2672790.024*
C180.4311 (4)0.6325 (3)0.3250 (2)0.0186 (7)
C190.4790 (4)0.5237 (3)0.3160 (2)0.0178 (6)
C200.4201 (4)0.4638 (3)0.2456 (2)0.0206 (7)
H200.4535670.3902450.2398100.025*
S210.52666 (11)0.68751 (7)0.41888 (6)0.0212 (2)
C220.6366 (4)0.5670 (3)0.4408 (2)0.0178 (6)
N230.5936 (4)0.4905 (2)0.38293 (18)0.0174 (6)
H230.639 (5)0.431 (4)0.389 (3)0.026*
N240.1552 (4)0.6738 (2)0.12574 (18)0.0210 (6)
N250.7462 (4)0.5524 (3)0.50724 (19)0.0223 (6)
H25A0.793 (6)0.487 (4)0.515 (3)0.033*
H25B0.779 (6)0.612 (4)0.537 (3)0.033*
O260.1226 (3)0.7708 (2)0.13176 (16)0.0264 (6)
O270.0987 (3)0.6171 (2)0.06582 (16)0.0267 (6)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
C10.0164 (14)0.0157 (15)0.0157 (14)0.0001 (12)0.0034 (11)0.0020 (12)
C20.0161 (15)0.0190 (17)0.0228 (16)0.0018 (12)0.0035 (12)0.0061 (13)
C30.0197 (16)0.0137 (15)0.0252 (17)0.0016 (12)0.0027 (13)0.0022 (13)
C40.0187 (15)0.0192 (17)0.0165 (15)0.0022 (12)0.0007 (12)0.0002 (12)
C50.0168 (15)0.0133 (15)0.0177 (15)0.0004 (11)0.0020 (12)0.0020 (12)
C60.0169 (15)0.0131 (15)0.0202 (15)0.0008 (12)0.0036 (12)0.0001 (12)
C70.0162 (15)0.0206 (17)0.0171 (15)0.0012 (12)0.0044 (12)0.0009 (13)
O80.0319 (14)0.0145 (12)0.0270 (13)0.0026 (10)0.0033 (11)0.0019 (10)
S90.0175 (4)0.0133 (4)0.0195 (4)0.0008 (3)0.0009 (3)0.0015 (3)
O100.0186 (12)0.0311 (15)0.0353 (14)0.0030 (11)0.0022 (10)0.0080 (12)
O110.0351 (14)0.0142 (12)0.0294 (14)0.0026 (10)0.0090 (11)0.0037 (10)
O120.0298 (14)0.0267 (14)0.0189 (12)0.0043 (11)0.0009 (10)0.0006 (10)
O130.0251 (13)0.0188 (12)0.0207 (12)0.0002 (10)0.0009 (10)0.0058 (10)
O140.0307 (13)0.0174 (12)0.0177 (11)0.0008 (10)0.0052 (10)0.0026 (9)
C150.0224 (17)0.0212 (18)0.0214 (16)0.0033 (13)0.0048 (13)0.0024 (13)
C160.0167 (15)0.0218 (17)0.0222 (16)0.0003 (13)0.0036 (12)0.0093 (13)
C170.0185 (15)0.0155 (16)0.0255 (17)0.0000 (12)0.0047 (13)0.0027 (13)
C180.0159 (15)0.0151 (16)0.0251 (17)0.0012 (12)0.0042 (12)0.0007 (13)
C190.0159 (15)0.0172 (16)0.0211 (16)0.0006 (12)0.0055 (12)0.0032 (12)
C200.0219 (16)0.0163 (16)0.0244 (17)0.0028 (13)0.0065 (13)0.0008 (13)
S210.0220 (4)0.0147 (4)0.0261 (4)0.0025 (3)0.0006 (3)0.0024 (3)
C220.0168 (15)0.0143 (16)0.0234 (16)0.0008 (12)0.0072 (12)0.0021 (13)
N230.0167 (13)0.0122 (13)0.0234 (14)0.0018 (10)0.0028 (11)0.0002 (11)
N240.0197 (14)0.0214 (15)0.0226 (14)0.0009 (11)0.0049 (11)0.0023 (12)
N250.0228 (15)0.0196 (15)0.0240 (15)0.0018 (12)0.0002 (12)0.0015 (12)
O260.0306 (14)0.0211 (13)0.0277 (13)0.0056 (11)0.0037 (11)0.0016 (10)
O270.0275 (13)0.0300 (15)0.0225 (12)0.0020 (11)0.0020 (10)0.0013 (11)
Geometric parameters (Å, º) top
C1—C61.397 (4)C15—C201.384 (5)
C1—C21.407 (5)C15—H150.9500
C1—C71.477 (4)C16—C171.389 (5)
C2—O81.354 (4)C16—N241.468 (4)
C2—C31.396 (5)C17—C181.388 (5)
C3—C41.377 (5)C17—H170.9500
C3—H30.9500C18—C191.402 (5)
C4—C51.393 (5)C18—S211.748 (4)
C4—H40.9500C19—N231.388 (4)
C5—C61.384 (4)C19—C201.389 (5)
C5—S91.759 (3)C20—H200.9500
C6—H60.9500S21—C221.732 (3)
C7—O131.230 (4)C22—N251.312 (5)
C7—O141.316 (4)C22—N231.341 (4)
O8—H80.81 (5)N23—H230.82 (5)
S9—O101.446 (3)N24—O261.226 (4)
S9—O111.450 (3)N24—O271.233 (4)
S9—O121.467 (3)N25—H25A0.89 (5)
O14—H1440.87 (5)N25—H25B0.90 (5)
C15—C161.382 (5)
C6—C1—C2119.0 (3)C16—C15—H15120.1
C6—C1—C7120.5 (3)C20—C15—H15120.1
C2—C1—C7120.4 (3)C15—C16—C17123.5 (3)
O8—C2—C3117.9 (3)C15—C16—N24118.2 (3)
O8—C2—C1122.0 (3)C17—C16—N24118.3 (3)
C3—C2—C1120.0 (3)C18—C17—C16116.5 (3)
C4—C3—C2119.8 (3)C18—C17—H17121.8
C4—C3—H3120.1C16—C17—H17121.8
C2—C3—H3120.1C17—C18—C19120.7 (3)
C3—C4—C5120.7 (3)C17—C18—S21127.9 (3)
C3—C4—H4119.6C19—C18—S21111.3 (3)
C5—C4—H4119.6N23—C19—C20127.4 (3)
C6—C5—C4119.8 (3)N23—C19—C18111.1 (3)
C6—C5—S9119.8 (3)C20—C19—C18121.4 (3)
C4—C5—S9120.4 (2)C15—C20—C19118.1 (3)
C5—C6—C1120.5 (3)C15—C20—H20120.9
C5—C6—H6119.7C19—C20—H20120.9
C1—C6—H6119.7C22—S21—C1890.16 (16)
O13—C7—O14123.7 (3)N25—C22—N23124.3 (3)
O13—C7—C1123.1 (3)N25—C22—S21123.5 (3)
O14—C7—C1113.1 (3)N23—C22—S21112.2 (3)
C2—O8—H8111 (4)C22—N23—C19115.1 (3)
O10—S9—O11113.18 (17)C22—N23—H23118 (3)
O10—S9—O12111.24 (16)C19—N23—H23127 (3)
O11—S9—O12111.68 (16)O26—N24—O27123.4 (3)
O10—S9—C5108.34 (16)O26—N24—C16118.4 (3)
O11—S9—C5106.91 (15)O27—N24—C16118.1 (3)
O12—S9—C5105.01 (15)C22—N25—H25A118 (3)
C7—O14—H144112 (3)C22—N25—H25B116 (3)
C16—C15—C20119.8 (3)H25A—N25—H25B125 (4)
C6—C1—C2—O8178.3 (3)C20—C15—C16—N24178.6 (3)
C7—C1—C2—O84.6 (5)C15—C16—C17—C180.3 (5)
C6—C1—C2—C32.3 (5)N24—C16—C17—C18180.0 (3)
C7—C1—C2—C3174.9 (3)C16—C17—C18—C191.4 (5)
O8—C2—C3—C4179.0 (3)C16—C17—C18—S21179.1 (3)
C1—C2—C3—C40.5 (5)C17—C18—C19—N23176.1 (3)
C2—C3—C4—C52.3 (5)S21—C18—C19—N231.9 (3)
C3—C4—C5—C61.2 (5)C17—C18—C19—C201.2 (5)
C3—C4—C5—S9179.4 (3)S21—C18—C19—C20179.2 (3)
C4—C5—C6—C11.6 (5)C16—C15—C20—C191.4 (5)
S9—C5—C6—C1177.8 (2)N23—C19—C20—C15177.1 (3)
C2—C1—C6—C53.3 (5)C18—C19—C20—C150.3 (5)
C7—C1—C6—C5173.9 (3)C17—C18—S21—C22174.8 (3)
C6—C1—C7—O13178.8 (3)C19—C18—S21—C223.1 (3)
C2—C1—C7—O134.1 (5)C18—S21—C22—N25177.7 (3)
C6—C1—C7—O143.0 (4)C18—S21—C22—N233.6 (3)
C2—C1—C7—O14174.2 (3)N25—C22—N23—C19178.1 (3)
C6—C5—S9—O1099.3 (3)S21—C22—N23—C193.3 (4)
C4—C5—S9—O1081.3 (3)C20—C19—N23—C22176.2 (3)
C6—C5—S9—O1123.0 (3)C18—C19—N23—C220.9 (4)
C4—C5—S9—O11156.4 (3)C15—C16—N24—O26176.6 (3)
C6—C5—S9—O12141.7 (3)C17—C16—N24—O263.1 (4)
C4—C5—S9—O1237.6 (3)C15—C16—N24—O273.3 (4)
C20—C15—C16—C171.1 (5)C17—C16—N24—O27177.0 (3)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
O8—H8···O130.81 (5)1.94 (5)2.631 (4)143 (5)
O14—H144···O12i0.87 (5)1.70 (5)2.564 (3)168 (5)
N23—H23···O110.82 (5)1.95 (5)2.682 (4)150 (4)
N25—H25A···O110.89 (5)2.20 (5)2.920 (4)138 (4)
N25—H25A···O13ii0.89 (5)2.42 (5)2.964 (4)119 (4)
N25—H25B···O10iii0.90 (5)2.19 (5)2.967 (4)144 (4)
N25—H25B···O26iv0.90 (5)2.51 (5)3.177 (4)132 (4)
C3—H3···S21v0.952.853.670 (4)145
C6—H6···O8vi0.952.603.446 (4)149
C20—H20···O140.952.503.413 (4)160
Symmetry codes: (i) x1/2, y+1/2, z1/2; (ii) x+1/2, y+1/2, z+1/2; (iii) x+2, y+1, z+1; (iv) x+1/2, y+3/2, z+1/2; (v) x, y1, z; (vi) x+3/2, y+1/2, z+1/2.
 

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