Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S2056989016010641/zs2363sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S2056989016010641/zs2363Isup2.hkl | |
Chemical Markup Language (CML) file https://doi.org/10.1107/S2056989016010641/zs2363Isup3.cml |
CCDC reference: 1489217
Key indicators
- Single-crystal X-ray study
- T = 150 K
- Mean (C-C) = 0.003 Å
- R factor = 0.042
- wR factor = 0.096
- Data-to-parameter ratio = 14.3
checkCIF/PLATON results
No syntax errors found Datablock: I
Alert level B PLAT910_ALERT_3_B Missing # of FCF Reflection(s) Below Theta(Min) 11 Note
Alert level C STRVA01_ALERT_4_C Flack test results are ambiguous. From the CIF: _refine_ls_abs_structure_Flack 0.600 From the CIF: _refine_ls_abs_structure_Flack_su 0.300 PLAT907_ALERT_2_C Flack x > 0.5, Structure needs to be Inverted? . 0.60 Check PLAT911_ALERT_3_C Missing # FCF Refl Between THmin & STh/L= 0.596 4 Report
Alert level G PLAT005_ALERT_5_G No Embedded Refinement Details found in the CIF Please Do ! PLAT032_ALERT_4_G Std. Uncertainty on Flack Parameter Value High . 0.300 Report PLAT791_ALERT_4_G The Model has Chirality at C3 (Chiral SPGR) S Verify PLAT791_ALERT_4_G The Model has Chirality at C7 (Chiral SPGR) S Verify PLAT791_ALERT_4_G The Model has Chirality at C8 (Chiral SPGR) S Verify PLAT791_ALERT_4_G The Model has Chirality at C9 (Chiral SPGR) S Verify PLAT791_ALERT_4_G The Model has Chirality at C14 (Chiral SPGR) S Verify PLAT791_ALERT_4_G The Model has Chirality at C20 (Chiral SPGR) R Verify PLAT808_ALERT_5_G No Parseable SHELXL Style Weighting Scheme Found Please Check PLAT909_ALERT_3_G Percentage of Observed Data at Theta(Max) Still 80 % PLAT913_ALERT_3_G Missing # of Very Strong Reflections in FCF .... 2 Note PLAT929_ALERT_5_G No Weight Pars,Obs and Calc R1,wR2,S not checked ! Info
0 ALERT level A = Most likely a serious problem - resolve or explain 1 ALERT level B = A potentially serious problem, consider carefully 3 ALERT level C = Check. Ensure it is not caused by an omission or oversight 12 ALERT level G = General information/check it is not something unexpected 0 ALERT type 1 CIF construction/syntax error, inconsistent or missing data 1 ALERT type 2 Indicator that the structure model may be wrong or deficient 4 ALERT type 3 Indicator that the structure quality may be low 8 ALERT type 4 Improvement, methodology, query or suggestion 3 ALERT type 5 Informative message, check
checkCIF publication errors
Alert level A PUBL024_ALERT_1_A The number of authors is greater than 5. Please specify the role of each of the co-authors for your paper.
1 ALERT level A = Data missing that is essential or data in wrong format 0 ALERT level G = General alerts. Data that may be required is missing
Data collection: CrysAlis PRO (Agilent, 2013); cell refinement: CrysAlis PRO (Agilent, 2013); data reduction: CrysAlis PRO (Agilent, 2013); program(s) used to solve structure: SIR97 (Altomare et al., 1999); program(s) used to refine structure: CRYSTALS (Betteridge et al., 2003); molecular graphics: CAMERON (Watkin et al., 1996); software used to prepare material for publication: CRYSTALS (Betteridge et al., 2003).
C17H28N2O3 | F(000) = 672 |
Mr = 308.42 | Dx = 1.236 Mg m−3 |
Orthorhombic, P212121 | Cu Kα radiation, λ = 1.5418 Å |
Hall symbol: P 2ac 2ab | Cell parameters from 5548 reflections |
a = 7.7474 (6) Å | θ = 4.5–66.7° |
b = 11.1404 (8) Å | µ = 0.68 mm−1 |
c = 19.208 (2) Å | T = 150 K |
V = 1657.8 (2) Å3 | Block, colorless |
Z = 4 | 0.49 × 0.43 × 0.25 mm |
Oxford Diffraction Xcalibur (Atlas, Gemini Ultra) diffractometer | 2879 independent reflections |
Radiation source: Enhance Ultra (Cu) X-ray source | 2680 reflections with I > 2.0σ(I) |
Mirror monochromator | Rint = 0.059 |
Detector resolution: 10.4678 pixels mm-1 | θmax = 66.8°, θmin = 11° |
ω scans | h = −9→8 |
Absorption correction: analytical [CrysAlis PRO (Agilent, 2013) based on expressions derived by Clark & Reid (1995); changes in illuminated volume were kept to a minimum, and were taken into account (Görbitz, 1999)] | k = −13→12 |
Tmin = 0.782, Tmax = 0.866 | l = −22→21 |
10374 measured reflections |
Refinement on F2 | H-atom parameters constrained |
Least-squares matrix: full | Method, part 1, Chebychev polynomial, (Watkin, 1994: Prince,
1982)
[weight] = 1.0/[A0*T0(x) + A1*T1(x) ··· + An-1]*Tn-1(x)]
where Ai are the Chebychev coefficients listed below and x = F /Fmax Method = Robust Weighting (Prince, 1982) W = [weight] * [1-(deltaF/6*sigmaF)2]2 Ai are: 0.124E + 04 0.195E + 04 0.105E + 04 304. |
R[F2 > 2σ(F2)] = 0.042 | (Δ/σ)max = 0.0002 |
wR(F2) = 0.096 | Δρmax = 0.16 e Å−3 |
S = 1.03 | Δρmin = −0.17 e Å−3 |
2866 reflections | Extinction correction: Larson (1970), Equation 22 |
201 parameters | Extinction coefficient: 74 (4) |
0 restraints | Absolute structure: Flack (1983), 1261 Friedel pairs |
Primary atom site location: structure-invariant direct methods | Absolute structure parameter: 0.6 (3) |
Hydrogen site location: difference Fourier map |
Experimental. The crystal was placed in the cold stream of an Oxford Cryosystems open-flow nitrogen cryostat with a nominal stability of 0.1K. |
Refinement. The analytical numeric absorption correction using a multi-faceted crystal model is based on expressions derived by Clark & Reid (1995). The relatively large ratio of minimum to maximum corrections applied in the multi-scan process (1:nnn) reflect changes in the illuminated volume of the crystal. Changes in illuminated volume were kept to a minimum, and were taken into account (Görbitz, 1999). |
x | y | z | Uiso*/Ueq | ||
O1 | 0.3924 (2) | 0.46528 (13) | 0.43226 (8) | 0.0295 | |
N2 | 0.2276 (2) | 0.48439 (15) | 0.39468 (9) | 0.0248 | |
C3 | 0.2216 (3) | 0.39172 (18) | 0.33856 (11) | 0.0253 | |
N4 | 0.3084 (3) | 0.44977 (16) | 0.27929 (9) | 0.0257 | |
C5 | 0.3388 (3) | 0.3911 (2) | 0.21315 (11) | 0.0309 | |
H51 | 0.3934 | 0.4467 | 0.1812 | 0.0471* | |
H53 | 0.2321 | 0.3682 | 0.1919 | 0.0466* | |
H52 | 0.4129 | 0.3213 | 0.2193 | 0.0470* | |
C6 | 0.3369 (3) | 0.56800 (19) | 0.28913 (11) | 0.0269 | |
C7 | 0.2626 (3) | 0.60075 (18) | 0.35923 (11) | 0.0257 | |
C8 | 0.3798 (3) | 0.67280 (19) | 0.40726 (12) | 0.0279 | |
C9 | 0.4274 (3) | 0.5792 (2) | 0.46276 (11) | 0.0271 | |
C10 | 0.3137 (4) | 0.6110 (2) | 0.52465 (12) | 0.0372 | |
O11 | 0.1969 (2) | 0.70248 (16) | 0.50158 (9) | 0.0397 | |
C12 | 0.2873 (3) | 0.7679 (2) | 0.44941 (13) | 0.0352 | |
H122 | 0.2094 | 0.8163 | 0.4202 | 0.0417* | |
H121 | 0.3689 | 0.8236 | 0.4714 | 0.0416* | |
H102 | 0.2495 | 0.5396 | 0.5410 | 0.0447* | |
H101 | 0.3821 | 0.6433 | 0.5635 | 0.0448* | |
H91 | 0.5499 | 0.5839 | 0.4753 | 0.0337* | |
H81 | 0.4758 | 0.7027 | 0.3812 | 0.0341* | |
H71 | 0.1551 | 0.6415 | 0.3518 | 0.0307* | |
O13 | 0.4052 (2) | 0.63710 (15) | 0.24780 (8) | 0.0357 | |
C14 | 0.0307 (3) | 0.3616 (2) | 0.32135 (11) | 0.0274 | |
C15 | −0.0806 (3) | 0.4686 (2) | 0.29604 (12) | 0.0310 | |
C16 | −0.2129 (4) | 0.4250 (3) | 0.24307 (14) | 0.0435 | |
H162 | −0.2845 | 0.4937 | 0.2288 | 0.0654* | |
H163 | −0.1594 | 0.3903 | 0.2017 | 0.0653* | |
H161 | −0.2850 | 0.3629 | 0.2652 | 0.0658* | |
C17 | −0.1731 (4) | 0.5369 (2) | 0.35403 (14) | 0.0406 | |
H171 | −0.2186 | 0.6122 | 0.3336 | 0.0606* | |
H173 | −0.2672 | 0.4908 | 0.3721 | 0.0604* | |
H172 | −0.0979 | 0.5542 | 0.3931 | 0.0602* | |
H151 | −0.0031 | 0.5263 | 0.2711 | 0.0372* | |
C18 | −0.0536 (3) | 0.2924 (2) | 0.38122 (13) | 0.0346 | |
C19 | 0.0460 (4) | 0.1795 (2) | 0.40142 (14) | 0.0379 | |
C20 | 0.2339 (3) | 0.2100 (2) | 0.41916 (12) | 0.0327 | |
C21 | 0.3154 (3) | 0.27553 (19) | 0.35817 (12) | 0.0288 | |
H211 | 0.3096 | 0.2212 | 0.3171 | 0.0339* | |
H212 | 0.4342 | 0.2949 | 0.3684 | 0.0350* | |
C22 | 0.3387 (4) | 0.0976 (2) | 0.43654 (13) | 0.0429 | |
H222 | 0.4583 | 0.1173 | 0.4469 | 0.0645* | |
H221 | 0.3358 | 0.0416 | 0.3963 | 0.0629* | |
H223 | 0.2912 | 0.0549 | 0.4787 | 0.0629* | |
H201 | 0.2358 | 0.2644 | 0.4599 | 0.0385* | |
H192 | 0.0469 | 0.1237 | 0.3607 | 0.0463* | |
H191 | −0.0113 | 0.1390 | 0.4418 | 0.0451* | |
H182 | −0.1724 | 0.2721 | 0.3658 | 0.0423* | |
H181 | −0.0606 | 0.3469 | 0.4217 | 0.0410* | |
H141 | 0.0390 | 0.3055 | 0.2810 | 0.0325* |
U11 | U22 | U33 | U12 | U13 | U23 | |
O1 | 0.0344 (8) | 0.0232 (7) | 0.0308 (8) | 0.0026 (7) | −0.0085 (7) | −0.0014 (6) |
N2 | 0.0304 (10) | 0.0202 (9) | 0.0239 (9) | 0.0002 (8) | −0.0028 (8) | 0.0005 (7) |
C3 | 0.0324 (12) | 0.0197 (10) | 0.0237 (10) | 0.0008 (9) | 0.0029 (9) | −0.0011 (9) |
N4 | 0.0317 (9) | 0.0218 (9) | 0.0236 (9) | −0.0001 (8) | 0.0035 (8) | −0.0015 (7) |
C5 | 0.0377 (12) | 0.0307 (11) | 0.0242 (11) | −0.0039 (10) | 0.0039 (9) | −0.0034 (9) |
C6 | 0.0290 (11) | 0.0233 (10) | 0.0284 (11) | −0.0006 (9) | −0.0018 (9) | 0.0016 (9) |
C7 | 0.0302 (11) | 0.0206 (11) | 0.0262 (10) | 0.0023 (10) | 0.0024 (9) | 0.0014 (8) |
C8 | 0.0324 (12) | 0.0204 (10) | 0.0307 (12) | −0.0016 (9) | 0.0028 (10) | −0.0014 (9) |
C9 | 0.0313 (11) | 0.0233 (10) | 0.0267 (10) | 0.0000 (9) | −0.0042 (9) | −0.0040 (9) |
C10 | 0.0453 (14) | 0.0361 (13) | 0.0302 (12) | −0.0014 (12) | −0.0002 (11) | −0.0035 (10) |
O11 | 0.0392 (10) | 0.0387 (9) | 0.0413 (9) | 0.0061 (8) | 0.0076 (8) | −0.0078 (8) |
C12 | 0.0421 (15) | 0.0257 (11) | 0.0377 (13) | 0.0022 (11) | −0.0016 (11) | −0.0076 (10) |
O13 | 0.0489 (10) | 0.0280 (8) | 0.0303 (8) | −0.0062 (8) | 0.0057 (8) | 0.0044 (6) |
C14 | 0.0329 (11) | 0.0228 (11) | 0.0265 (11) | −0.0031 (9) | 0.0021 (9) | −0.0005 (9) |
C15 | 0.0295 (11) | 0.0298 (12) | 0.0335 (12) | −0.0022 (10) | −0.0007 (10) | 0.0024 (9) |
C16 | 0.0430 (14) | 0.0423 (14) | 0.0453 (14) | −0.0056 (13) | −0.0109 (13) | 0.0027 (12) |
C17 | 0.0370 (13) | 0.0368 (13) | 0.0481 (15) | 0.0038 (12) | 0.0041 (12) | −0.0022 (11) |
C18 | 0.0371 (13) | 0.0322 (13) | 0.0344 (12) | −0.0047 (11) | 0.0039 (11) | 0.0025 (10) |
C19 | 0.0533 (16) | 0.0238 (12) | 0.0365 (13) | −0.0085 (11) | 0.0037 (12) | 0.0039 (10) |
C20 | 0.0495 (15) | 0.0209 (11) | 0.0278 (11) | −0.0015 (11) | −0.0011 (11) | −0.0001 (9) |
C21 | 0.0360 (12) | 0.0211 (11) | 0.0292 (11) | 0.0013 (10) | 0.0009 (10) | −0.0008 (9) |
C22 | 0.0680 (19) | 0.0239 (12) | 0.0369 (13) | 0.0025 (12) | −0.0068 (13) | 0.0040 (10) |
O1—N2 | 1.482 (2) | C14—C15 | 1.550 (3) |
O1—C9 | 1.424 (3) | C14—C18 | 1.531 (3) |
N2—C3 | 1.493 (3) | C14—H141 | 0.997 |
N2—C7 | 1.489 (3) | C15—C16 | 1.524 (3) |
C3—N4 | 1.472 (3) | C15—C17 | 1.527 (3) |
C3—C14 | 1.552 (3) | C15—H151 | 1.001 |
C3—C21 | 1.531 (3) | C16—H162 | 0.983 |
N4—C5 | 1.448 (3) | C16—H163 | 0.977 |
N4—C6 | 1.349 (3) | C16—H161 | 0.986 |
C5—H51 | 0.969 | C17—H171 | 0.991 |
C5—H53 | 0.956 | C17—H173 | 0.957 |
C5—H52 | 0.974 | C17—H172 | 0.970 |
C6—C7 | 1.509 (3) | C18—C19 | 1.526 (4) |
C6—O13 | 1.226 (3) | C18—H182 | 0.992 |
C7—C8 | 1.523 (3) | C18—H181 | 0.988 |
C7—H71 | 0.959 | C19—C20 | 1.533 (4) |
C8—C9 | 1.536 (3) | C19—H192 | 0.999 |
C8—C12 | 1.513 (3) | C19—H191 | 1.001 |
C8—H81 | 0.957 | C20—C21 | 1.518 (3) |
C9—C10 | 1.521 (3) | C20—C22 | 1.529 (3) |
C9—H91 | 0.980 | C20—H201 | 0.990 |
C10—O11 | 1.433 (3) | C21—H211 | 0.996 |
C10—H102 | 0.989 | C21—H212 | 0.966 |
C10—H101 | 0.983 | C22—H222 | 0.972 |
O11—C12 | 1.423 (3) | C22—H221 | 0.995 |
C12—H122 | 0.985 | C22—H223 | 1.009 |
C12—H121 | 0.981 | ||
N2—O1—C9 | 103.68 (14) | C3—C14—C18 | 110.82 (19) |
O1—N2—C3 | 106.18 (15) | C15—C14—C18 | 112.69 (19) |
O1—N2—C7 | 100.99 (15) | C3—C14—H141 | 103.9 |
C3—N2—C7 | 106.11 (15) | C15—C14—H141 | 105.9 |
N2—C3—N4 | 103.92 (16) | C18—C14—H141 | 107.2 |
N2—C3—C14 | 109.41 (17) | C14—C15—C16 | 109.79 (19) |
N4—C3—C14 | 111.43 (18) | C14—C15—C17 | 114.5 (2) |
N2—C3—C21 | 113.10 (17) | C16—C15—C17 | 109.3 (2) |
N4—C3—C21 | 110.18 (18) | C14—C15—H151 | 108.1 |
C14—C3—C21 | 108.77 (18) | C16—C15—H151 | 106.8 |
C3—N4—C5 | 123.70 (17) | C17—C15—H151 | 108.1 |
C3—N4—C6 | 113.29 (17) | C15—C16—H162 | 108.5 |
C5—N4—C6 | 122.47 (19) | C15—C16—H163 | 112.6 |
N4—C5—H51 | 109.8 | H162—C16—H163 | 108.7 |
N4—C5—H53 | 110.8 | C15—C16—H161 | 108.4 |
H51—C5—H53 | 106.1 | H162—C16—H161 | 110.3 |
N4—C5—H52 | 110.4 | H163—C16—H161 | 108.3 |
H51—C5—H52 | 109.2 | C15—C17—H171 | 107.4 |
H53—C5—H52 | 110.4 | C15—C17—H173 | 110.8 |
N4—C6—C7 | 107.39 (18) | H171—C17—H173 | 109.1 |
N4—C6—O13 | 126.4 (2) | C15—C17—H172 | 112.4 |
C7—C6—O13 | 126.2 (2) | H171—C17—H172 | 110.5 |
C6—C7—N2 | 105.48 (16) | H173—C17—H172 | 106.5 |
C6—C7—C8 | 116.15 (19) | C14—C18—C19 | 113.0 (2) |
N2—C7—C8 | 106.89 (17) | C14—C18—H182 | 106.7 |
C6—C7—H71 | 108.3 | C19—C18—H182 | 110.9 |
N2—C7—H71 | 108.7 | C14—C18—H181 | 107.8 |
C8—C7—H71 | 111.0 | C19—C18—H181 | 109.5 |
C7—C8—C9 | 101.88 (16) | H182—C18—H181 | 108.9 |
C7—C8—C12 | 114.2 (2) | C18—C19—C20 | 110.74 (19) |
C9—C8—C12 | 102.57 (18) | C18—C19—H192 | 108.4 |
C7—C8—H81 | 109.3 | C20—C19—H192 | 107.8 |
C9—C8—H81 | 114.4 | C18—C19—H191 | 110.1 |
C12—C8—H81 | 113.9 | C20—C19—H191 | 110.4 |
C8—C9—O1 | 105.88 (16) | H192—C19—H191 | 109.2 |
C8—C9—C10 | 104.18 (18) | C19—C20—C21 | 109.3 (2) |
O1—C9—C10 | 114.75 (19) | C19—C20—C22 | 111.8 (2) |
C8—C9—H91 | 111.5 | C21—C20—C22 | 110.0 (2) |
O1—C9—H91 | 109.5 | C19—C20—H201 | 109.0 |
C10—C9—H91 | 110.8 | C21—C20—H201 | 108.1 |
C9—C10—O11 | 106.84 (18) | C22—C20—H201 | 108.7 |
C9—C10—H102 | 110.7 | C3—C21—C20 | 113.52 (19) |
O11—C10—H102 | 110.6 | C3—C21—H211 | 107.3 |
C9—C10—H101 | 111.5 | C20—C21—H211 | 107.5 |
O11—C10—H101 | 108.3 | C3—C21—H212 | 108.2 |
H102—C10—H101 | 108.9 | C20—C21—H212 | 110.3 |
C10—O11—C12 | 105.74 (19) | H211—C21—H212 | 109.9 |
C8—C12—O11 | 104.57 (19) | C20—C22—H222 | 111.5 |
C8—C12—H122 | 111.7 | C20—C22—H221 | 109.4 |
O11—C12—H122 | 112.4 | H222—C22—H221 | 108.8 |
C8—C12—H121 | 111.6 | C20—C22—H223 | 111.6 |
O11—C12—H121 | 109.7 | H222—C22—H223 | 106.8 |
H122—C12—H121 | 107.0 | H221—C22—H223 | 108.7 |
C3—C14—C15 | 115.54 (18) | ||
C9—O1—N2—C3 | 156.12 (16) | C21—C3—C14—C18 | 53.8 (2) |
C9—O1—N2—C7 | 45.58 (18) | N2—C3—C21—C20 | 64.1 (2) |
N2—O1—C9—C8 | −40.8 (2) | N4—C3—C21—C20 | 179.91 (18) |
N2—O1—C9—C10 | 73.5 (2) | C14—C3—C21—C20 | −57.7 (2) |
C12—O11—C10—C9 | −30.4 (2) | O13—C6—C7—N2 | −169.1 (2) |
C10—O11—C12—C8 | 41.4 (2) | O13—C6—C7—C8 | −51.0 (3) |
O1—N2—C3—N4 | −88.72 (18) | N4—C6—C7—N2 | 13.2 (2) |
O1—N2—C3—C14 | 152.15 (15) | N4—C6—C7—C8 | 131.3 (2) |
O1—N2—C3—C21 | 30.7 (2) | N2—C7—C8—C9 | 9.3 (2) |
C7—N2—C3—N4 | 18.2 (2) | N2—C7—C8—C12 | −100.5 (2) |
C7—N2—C3—C14 | −100.94 (18) | C6—C7—C8—C9 | −108.1 (2) |
C7—N2—C3—C21 | 137.64 (18) | C6—C7—C8—C12 | 142.1 (2) |
O1—N2—C7—C6 | 91.23 (18) | C7—C8—C9—O1 | 19.2 (2) |
O1—N2—C7—C8 | −32.94 (19) | C7—C8—C9—C10 | −102.2 (2) |
C3—N2—C7—C6 | −19.4 (2) | C12—C8—C9—O1 | 137.68 (18) |
C3—N2—C7—C8 | −143.56 (17) | C12—C8—C9—C10 | 16.3 (2) |
C5—N4—C3—N2 | 177.7 (2) | C7—C8—C12—O11 | 74.2 (2) |
C5—N4—C3—C14 | −64.6 (3) | C9—C8—C12—O11 | −35.1 (2) |
C5—N4—C3—C21 | 56.2 (3) | O1—C9—C10—O11 | −107.8 (2) |
C6—N4—C3—N2 | −10.6 (3) | C8—C9—C10—O11 | 7.6 (2) |
C6—N4—C3—C14 | 107.2 (2) | C3—C14—C15—C16 | 146.3 (2) |
C6—N4—C3—C21 | −132.0 (2) | C3—C14—C15—C17 | −90.4 (2) |
C3—N4—C6—O13 | −179.3 (2) | C18—C14—C15—C16 | −84.9 (2) |
C3—N4—C6—C7 | −1.6 (3) | C18—C14—C15—C17 | 38.4 (3) |
C5—N4—C6—O13 | −7.4 (4) | C3—C14—C18—C19 | −54.8 (3) |
C5—N4—C6—C7 | 170.3 (2) | C15—C14—C18—C19 | 174.06 (19) |
N2—C3—C14—C15 | 59.5 (2) | C14—C18—C19—C20 | 55.5 (3) |
N2—C3—C14—C18 | −70.2 (2) | C18—C19—C20—C21 | −55.6 (3) |
N4—C3—C14—C15 | −54.8 (2) | C18—C19—C20—C22 | −177.5 (2) |
N4—C3—C14—C18 | 175.48 (17) | C19—C20—C21—C3 | 58.7 (2) |
C21—C3—C14—C15 | −176.47 (18) | C22—C20—C21—C3 | −178.24 (19) |
D—H···A | D—H | H···A | D···A | D—H···A |
C5—H52···O13i | 0.97 | 2.57 | 3.536 (3) | 172 |
Symmetry code: (i) −x+1, y−1/2, −z+1/2. |