Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536807028164/mg2021sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S1600536807028164/mg2021Isup2.hkl |
Data collection: COLLECT (Nonius, 1998); cell refinement: DIRAX/LS (Duisenberg et al., 2003); data reduction: EVALCCD (Duisenberg et al., 2003); program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: ORTEP-3 for Windows (Farrugia, 1997); software used to prepare material for publication: WinGX (Farrugia, 1999).
Ni5P4 | Dx = 6.313 Mg m−3 |
Mr = 417.33 | Mo Kα radiation, λ = 0.71069 Å |
Hexagonal, P63mc | Cell parameters from 13186 reflections |
Hall symbol: P 6c -2c | θ = 2.0–42.1° |
a = 6.7921 (1) Å | µ = 22.31 mm−1 |
c = 10.9922 (2) Å | T = 293 K |
V = 439.16 (1) Å3 | Prism, black |
Z = 4 | 0.05 × 0.03 × 0.02 mm |
F(000) = 800 |
Nonius KappaCCD diffractometer | 1079 independent reflections |
Radiation source: fine-focus sealed tube | 896 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.082 |
Detector resolution: 9 pixels mm-1 | θmax = 40.0°, θmin = 3.5° |
CCD rotation images, thick slices scans | h = −12→12 |
Absorption correction: multi-scan (Blessing, 1995) | k = −11→12 |
Tmin = 0.472, Tmax = 0.745 | l = −19→19 |
19002 measured reflections |
Refinement on F2 | Secondary atom site location: difference Fourier map |
Least-squares matrix: full | w = 1/[σ2(Fo2) + (0.0109P)2 + 0.4236P] where P = (Fo2 + 2Fc2)/3 |
R[F2 > 2σ(F2)] = 0.027 | (Δ/σ)max < 0.001 |
wR(F2) = 0.034 | Δρmax = 1.15 e Å−3 |
S = 1.06 | Δρmin = −1.06 e Å−3 |
1079 reflections | Extinction correction: SHELXL97 (Sheldrick, 1997), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4 |
42 parameters | Extinction coefficient: 0.00038 (16) |
1 restraint | Absolute structure: Flack (1983), with how many Friedel pairs? |
Primary atom site location: structure-invariant direct methods | Absolute structure parameter: 0.557 (16) |
Geometry. All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of e.s.d.'s in distances, angles and torsion angles; correlations between e.s.d.'s in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell e.s.d.'s is used for estimating e.s.d.'s involving l.s. planes. |
Refinement. Refinement of F2 against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F2, conventional R-factors R are based on F, with F set to zero for negative F2. The threshold expression of F2 > σ(F2) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F2 are statistically about twice as large as those based on F, and R- factors based on ALL data will be even larger. |
x | y | z | Uiso*/Ueq | ||
Ni1 | 0.53735 (4) | 0.46265 (4) | 0.08904 (3) | 0.00558 (12) | |
Ni2 | 0.20756 (3) | 0.79244 (3) | 0.23708 (6) | 0.00558 (7) | |
Ni3 | 0.54033 (4) | 0.45967 (4) | 0.37948 (3) | 0.00535 (12) | |
Ni4 | 0.0000 | 0.0000 | 0.20081 (7) | 0.00561 (15) | |
P1 | 0.81828 (6) | 0.18172 (6) | 0.23166 (12) | 0.00460 (13) | |
P2 | 0.17832 (8) | 0.82168 (8) | 0.44259 (9) | 0.00494 (16) | |
P3 | 0.0000 | 0.0000 | 0.00000 (17) | 0.0054 (3) | |
P4 | 0.3333 | 0.6667 | 0.05931 (14) | 0.0059 (3) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Ni1 | 0.00558 (18) | 0.00558 (18) | 0.0047 (3) | 0.00216 (18) | −0.00007 (10) | 0.00007 (10) |
Ni2 | 0.00532 (12) | 0.00532 (12) | 0.00664 (15) | 0.00306 (14) | −0.00029 (12) | 0.00029 (12) |
Ni3 | 0.00510 (19) | 0.00510 (19) | 0.0060 (3) | 0.00268 (19) | 0.00042 (9) | −0.00042 (9) |
Ni4 | 0.0041 (2) | 0.0041 (2) | 0.0086 (3) | 0.00206 (10) | 0.000 | 0.000 |
P1 | 0.0044 (2) | 0.0044 (2) | 0.0049 (3) | 0.0021 (3) | 0.0005 (2) | −0.0005 (2) |
P2 | 0.0044 (3) | 0.0044 (3) | 0.0056 (3) | 0.0019 (3) | 0.00014 (15) | −0.00014 (15) |
P3 | 0.0047 (4) | 0.0047 (4) | 0.0069 (9) | 0.00237 (19) | 0.000 | 0.000 |
P4 | 0.0059 (4) | 0.0059 (4) | 0.0059 (6) | 0.00293 (19) | 0.000 | 0.000 |
Ni1—P1i | 2.2891 (10) | Ni3—Ni2vi | 2.6394 (6) |
Ni1—P1ii | 2.2891 (10) | Ni4—P1ii | 2.1645 (7) |
Ni1—P2iii | 2.3361 (8) | Ni4—P1xii | 2.1645 (7) |
Ni1—P2iv | 2.3361 (8) | Ni4—P1xiii | 2.1645 (7) |
Ni1—P4 | 2.4223 (5) | Ni4—P3 | 2.207 (2) |
Ni1—Ni3v | 2.4782 (5) | Ni4—Ni2vii | 2.4742 (4) |
Ni1—Ni1ii | 2.6349 (9) | Ni4—Ni2xiv | 2.4742 (4) |
Ni1—Ni1i | 2.6349 (9) | Ni4—Ni2xv | 2.4742 (4) |
Ni1—Ni2vi | 2.6545 (6) | P1—Ni4xvi | 2.1645 (7) |
Ni1—Ni2vii | 2.6545 (6) | P1—Ni1i | 2.2891 (10) |
Ni2—P2 | 2.2850 (11) | P1—Ni1ii | 2.2891 (10) |
Ni2—P1viii | 2.3057 (4) | P1—Ni2xvii | 2.3057 (4) |
Ni2—P1ix | 2.3057 (4) | P1—Ni2xviii | 2.3057 (4) |
Ni2—P4 | 2.4510 (14) | P1—Ni3ii | 2.3194 (10) |
Ni2—Ni4x | 2.4742 (4) | P1—Ni3i | 2.3194 (10) |
Ni2—Ni2vi | 2.5627 (6) | P2—P3xix | 2.1907 (10) |
Ni2—Ni2vii | 2.5627 (6) | P2—Ni3vi | 2.3012 (5) |
Ni2—Ni3vii | 2.6394 (6) | P2—Ni3vii | 2.3012 (5) |
Ni2—Ni3vi | 2.6394 (6) | P2—Ni1xx | 2.3361 (8) |
Ni2—Ni1vi | 2.6545 (6) | P2—Ni1xxi | 2.3361 (8) |
Ni2—Ni1vii | 2.6545 (6) | P3—P2xxii | 2.1907 (10) |
Ni3—P2vi | 2.3012 (5) | P3—P2iii | 2.1907 (10) |
Ni3—P2vii | 2.3012 (5) | P3—P2xxiii | 2.1907 (10) |
Ni3—P1ii | 2.3194 (10) | P4—Ni1vii | 2.4223 (5) |
Ni3—P1i | 2.3194 (10) | P4—Ni1vi | 2.4223 (5) |
Ni3—P4xi | 2.4731 (13) | P4—Ni2vi | 2.4510 (14) |
Ni3—Ni1xi | 2.4782 (5) | P4—Ni2vii | 2.4510 (14) |
Ni3—Ni3ii | 2.5744 (9) | P4—Ni3xxiv | 2.4731 (13) |
Ni3—Ni3i | 2.5744 (9) | P4—Ni3xxv | 2.4731 (13) |
Ni3—Ni2vii | 2.6394 (6) | P4—Ni3v | 2.4731 (13) |
P1i—Ni1—P1ii | 84.88 (5) | P2vii—Ni3—Ni3i | 103.30 (2) |
P1i—Ni1—P2iii | 148.92 (3) | P1ii—Ni3—Ni3i | 56.292 (19) |
P1ii—Ni1—P2iii | 86.79 (3) | P1i—Ni3—Ni3i | 96.374 (19) |
P1i—Ni1—P2iv | 86.79 (3) | P4xi—Ni3—Ni3i | 58.636 (19) |
P1ii—Ni1—P2iv | 148.92 (3) | Ni1xi—Ni3—Ni3i | 108.624 (10) |
P2iii—Ni1—P2iv | 85.07 (5) | Ni3ii—Ni3—Ni3i | 60.0 |
P1i—Ni1—P4 | 111.40 (3) | P2vi—Ni3—Ni2vii | 94.98 (3) |
P1ii—Ni1—P4 | 111.40 (3) | P2vii—Ni3—Ni2vii | 54.58 (3) |
P2iii—Ni1—P4 | 99.53 (3) | P1ii—Ni3—Ni2vii | 54.958 (18) |
P2iv—Ni1—P4 | 99.53 (3) | P1i—Ni3—Ni2vii | 94.16 (3) |
P1i—Ni1—Ni3v | 137.56 (3) | P4xi—Ni3—Ni2vii | 149.322 (14) |
P1ii—Ni1—Ni3v | 137.56 (3) | Ni1xi—Ni3—Ni2vii | 108.33 (2) |
P2iii—Ni1—Ni3v | 57.019 (19) | Ni3ii—Ni3—Ni2vii | 143.035 (15) |
P2iv—Ni1—Ni3v | 57.019 (19) | Ni3i—Ni3—Ni2vii | 108.272 (11) |
P4—Ni1—Ni3v | 60.61 (4) | P2vi—Ni3—Ni2vi | 54.58 (3) |
P1i—Ni1—Ni1ii | 54.86 (2) | P2vii—Ni3—Ni2vi | 94.98 (3) |
P1ii—Ni1—Ni1ii | 95.697 (19) | P1ii—Ni3—Ni2vi | 94.16 (3) |
P2iii—Ni1—Ni1ii | 96.43 (2) | P1i—Ni3—Ni2vi | 54.958 (18) |
P2iv—Ni1—Ni1ii | 55.670 (17) | P4xi—Ni3—Ni2vi | 149.322 (14) |
P4—Ni1—Ni1ii | 149.104 (9) | Ni1xi—Ni3—Ni2vi | 108.33 (2) |
Ni3v—Ni1—Ni1ii | 108.624 (10) | Ni3ii—Ni3—Ni2vi | 108.272 (11) |
P1i—Ni1—Ni1i | 95.697 (19) | Ni3i—Ni3—Ni2vi | 143.035 (15) |
P1ii—Ni1—Ni1i | 54.86 (2) | Ni2vii—Ni3—Ni2vi | 58.09 (2) |
P2iii—Ni1—Ni1i | 55.670 (17) | P1ii—Ni4—P1xii | 117.592 (19) |
P2iv—Ni1—Ni1i | 96.43 (2) | P1ii—Ni4—P1xiii | 117.592 (19) |
P4—Ni1—Ni1i | 149.104 (9) | P1xii—Ni4—P1xiii | 117.592 (19) |
Ni3v—Ni1—Ni1i | 108.623 (10) | P1ii—Ni4—P3 | 99.01 (4) |
Ni1ii—Ni1—Ni1i | 60.0 | P1xii—Ni4—P3 | 99.01 (4) |
P1i—Ni1—Ni2vi | 55.001 (18) | P1xiii—Ni4—P3 | 99.01 (4) |
P1ii—Ni1—Ni2vi | 94.47 (3) | P1ii—Ni4—Ni2vii | 59.162 (4) |
P2iii—Ni1—Ni2vi | 155.78 (3) | P1xii—Ni4—Ni2vii | 161.71 (5) |
P2iv—Ni1—Ni2vi | 105.03 (2) | P1xiii—Ni4—Ni2vii | 59.162 (4) |
P4—Ni1—Ni2vi | 57.52 (3) | P3—Ni4—Ni2vii | 99.27 (2) |
Ni3v—Ni1—Ni2vi | 109.83 (2) | P1ii—Ni4—Ni2xiv | 161.71 (5) |
Ni1ii—Ni1—Ni2vi | 107.477 (12) | P1xii—Ni4—Ni2xiv | 59.162 (4) |
Ni1i—Ni1—Ni2vi | 141.539 (16) | P1xiii—Ni4—Ni2xiv | 59.162 (4) |
P1i—Ni1—Ni2vii | 94.47 (3) | P3—Ni4—Ni2xiv | 99.27 (2) |
P1ii—Ni1—Ni2vii | 55.001 (18) | Ni2vii—Ni4—Ni2xiv | 117.456 (12) |
P2iii—Ni1—Ni2vii | 105.03 (2) | P1ii—Ni4—Ni2xv | 59.162 (4) |
P2iv—Ni1—Ni2vii | 155.78 (3) | P1xii—Ni4—Ni2xv | 59.162 (4) |
P4—Ni1—Ni2vii | 57.52 (3) | P1xiii—Ni4—Ni2xv | 161.71 (5) |
Ni3v—Ni1—Ni2vii | 109.83 (2) | P3—Ni4—Ni2xv | 99.27 (2) |
Ni1ii—Ni1—Ni2vii | 141.539 (16) | Ni2vii—Ni4—Ni2xv | 117.456 (12) |
Ni1i—Ni1—Ni2vii | 107.477 (12) | Ni2xiv—Ni4—Ni2xv | 117.456 (12) |
Ni2vi—Ni1—Ni2vii | 57.72 (2) | Ni4xvi—P1—Ni1i | 109.52 (4) |
P2—Ni2—P1viii | 86.32 (4) | Ni4xvi—P1—Ni1ii | 109.52 (4) |
P2—Ni2—P1ix | 86.32 (4) | Ni1i—P1—Ni1ii | 70.27 (4) |
P1viii—Ni2—P1ix | 106.83 (4) | Ni4xvi—P1—Ni2xvii | 67.127 (19) |
P2—Ni2—P4 | 151.53 (4) | Ni1i—P1—Ni2xvii | 136.32 (5) |
P1viii—Ni2—P4 | 109.81 (4) | Ni1ii—P1—Ni2xvii | 70.58 (2) |
P1ix—Ni2—P4 | 109.81 (4) | Ni4xvi—P1—Ni2xviii | 67.127 (19) |
P2—Ni2—Ni4x | 90.61 (3) | Ni1i—P1—Ni2xviii | 70.58 (2) |
P1viii—Ni2—Ni4x | 53.711 (19) | Ni1ii—P1—Ni2xviii | 136.32 (5) |
P1ix—Ni2—Ni4x | 53.712 (19) | Ni2xvii—P1—Ni2xviii | 133.03 (4) |
P4—Ni2—Ni4x | 117.86 (4) | Ni4xvi—P1—Ni3ii | 123.56 (4) |
P2—Ni2—Ni2vi | 97.49 (2) | Ni1i—P1—Ni3ii | 126.78 (3) |
P1viii—Ni2—Ni2vi | 156.517 (19) | Ni1ii—P1—Ni3ii | 87.701 (18) |
P1ix—Ni2—Ni2vi | 96.558 (19) | Ni2xvii—P1—Ni3ii | 69.59 (2) |
P4—Ni2—Ni2vi | 58.48 (2) | Ni2xviii—P1—Ni3ii | 132.01 (5) |
Ni4x—Ni2—Ni2vi | 148.728 (6) | Ni4xvi—P1—Ni3i | 123.56 (4) |
P2—Ni2—Ni2vii | 97.49 (2) | Ni1i—P1—Ni3i | 87.701 (18) |
P1viii—Ni2—Ni2vii | 96.558 (19) | Ni1ii—P1—Ni3i | 126.78 (3) |
P1ix—Ni2—Ni2vii | 156.517 (19) | Ni2xvii—P1—Ni3i | 132.01 (5) |
P4—Ni2—Ni2vii | 58.48 (2) | Ni2xviii—P1—Ni3i | 69.59 (2) |
Ni4x—Ni2—Ni2vii | 148.728 (6) | Ni3ii—P1—Ni3i | 67.42 (4) |
Ni2vi—Ni2—Ni2vii | 60.0 | P3xix—P2—Ni2 | 115.40 (6) |
P2—Ni2—Ni3vii | 55.154 (16) | P3xix—P2—Ni3vi | 109.82 (3) |
P1viii—Ni2—Ni3vii | 135.72 (4) | Ni2—P2—Ni3vi | 70.27 (3) |
P1ix—Ni2—Ni3vii | 55.45 (3) | P3xix—P2—Ni3vii | 109.82 (3) |
P4—Ni2—Ni3vii | 114.387 (15) | Ni2—P2—Ni3vii | 70.27 (3) |
Ni4x—Ni2—Ni3vii | 101.159 (17) | Ni3vi—P2—Ni3vii | 132.81 (5) |
Ni2vi—Ni2—Ni3vii | 60.956 (10) | P3xix—P2—Ni1xx | 103.72 (5) |
Ni2vii—Ni2—Ni3vii | 108.272 (11) | Ni2—P2—Ni1xx | 127.79 (3) |
P2—Ni2—Ni3vi | 55.154 (16) | Ni3vi—P2—Ni1xx | 127.21 (4) |
P1viii—Ni2—Ni3vi | 55.45 (3) | Ni3vii—P2—Ni1xx | 64.601 (17) |
P1ix—Ni2—Ni3vi | 135.72 (4) | P3xix—P2—Ni1xxi | 103.72 (5) |
P4—Ni2—Ni3vi | 114.387 (15) | Ni2—P2—Ni1xxi | 127.79 (3) |
Ni4x—Ni2—Ni3vi | 101.159 (17) | Ni3vi—P2—Ni1xxi | 64.601 (17) |
Ni2vi—Ni2—Ni3vi | 108.272 (11) | Ni3vii—P2—Ni1xxi | 127.21 (4) |
Ni2vii—Ni2—Ni3vi | 60.956 (10) | Ni1xx—P2—Ni1xxi | 68.66 (3) |
Ni3vii—Ni2—Ni3vi | 106.07 (3) | P2xxii—P3—P2iii | 112.06 (4) |
P2—Ni2—Ni1vi | 128.452 (16) | P2xxii—P3—P2xxiii | 112.06 (4) |
P1viii—Ni2—Ni1vi | 54.42 (3) | P2iii—P3—P2xxiii | 112.06 (4) |
P1ix—Ni2—Ni1vi | 132.50 (4) | P2xxii—P3—Ni4 | 106.74 (5) |
P4—Ni2—Ni1vi | 56.477 (18) | P2iii—P3—Ni4 | 106.74 (5) |
Ni4x—Ni2—Ni1vi | 90.295 (18) | P2xxiii—P3—Ni4 | 106.74 (5) |
Ni2vi—Ni2—Ni1vi | 107.477 (12) | Ni1vii—P4—Ni1vi | 118.209 (17) |
Ni2vii—Ni2—Ni1vi | 61.138 (10) | Ni1vii—P4—Ni1 | 118.209 (17) |
Ni3vii—Ni2—Ni1vi | 168.167 (17) | Ni1vi—P4—Ni1 | 118.209 (17) |
Ni3vi—Ni2—Ni1vi | 74.184 (10) | Ni1vii—P4—Ni2 | 66.01 (2) |
P2—Ni2—Ni1vii | 128.452 (16) | Ni1vi—P4—Ni2 | 66.01 (2) |
P1viii—Ni2—Ni1vii | 132.50 (4) | Ni1—P4—Ni2 | 119.38 (6) |
P1ix—Ni2—Ni1vii | 54.42 (3) | Ni1vii—P4—Ni2vi | 66.01 (2) |
P4—Ni2—Ni1vii | 56.477 (18) | Ni1vi—P4—Ni2vi | 119.38 (6) |
Ni4x—Ni2—Ni1vii | 90.295 (18) | Ni1—P4—Ni2vi | 66.01 (2) |
Ni2vi—Ni2—Ni1vii | 61.138 (10) | Ni2—P4—Ni2vi | 63.04 (4) |
Ni2vii—Ni2—Ni1vii | 107.477 (12) | Ni1vii—P4—Ni2vii | 119.38 (6) |
Ni3vii—Ni2—Ni1vii | 74.184 (10) | Ni1vi—P4—Ni2vii | 66.01 (2) |
Ni3vi—Ni2—Ni1vii | 168.167 (17) | Ni1—P4—Ni2vii | 66.01 (2) |
Ni1vi—Ni2—Ni1vii | 103.08 (3) | Ni2—P4—Ni2vii | 63.04 (4) |
P2vi—Ni3—P2vii | 86.67 (5) | Ni2vi—P4—Ni2vii | 63.04 (4) |
P2vi—Ni3—P1ii | 146.92 (3) | Ni1vii—P4—Ni3xxiv | 113.93 (4) |
P2vii—Ni3—P1ii | 85.63 (3) | Ni1vi—P4—Ni3xxiv | 60.81 (2) |
P2vi—Ni3—P1i | 85.63 (3) | Ni1—P4—Ni3xxiv | 113.93 (4) |
P2vii—Ni3—P1i | 146.92 (3) | Ni2—P4—Ni3xxiv | 117.117 (13) |
P1ii—Ni3—P1i | 83.52 (5) | Ni2vi—P4—Ni3xxiv | 179.81 (5) |
P2vi—Ni3—P4xi | 99.03 (3) | Ni2vii—P4—Ni3xxiv | 117.117 (13) |
P2vii—Ni3—P4xi | 99.03 (3) | Ni1vii—P4—Ni3xxv | 60.81 (2) |
P1ii—Ni3—P4xi | 113.95 (3) | Ni1vi—P4—Ni3xxv | 113.93 (4) |
P1i—Ni3—P4xi | 113.95 (3) | Ni1—P4—Ni3xxv | 113.93 (4) |
P2vi—Ni3—Ni1xi | 58.38 (3) | Ni2—P4—Ni3xxv | 117.117 (13) |
P2vii—Ni3—Ni1xi | 58.38 (3) | Ni2vi—P4—Ni3xxv | 117.117 (13) |
P1ii—Ni3—Ni1xi | 138.22 (3) | Ni2vii—P4—Ni3xxv | 179.81 (5) |
P1i—Ni3—Ni1xi | 138.22 (3) | Ni3xxiv—P4—Ni3xxv | 62.73 (4) |
P4xi—Ni3—Ni1xi | 58.58 (3) | Ni1vii—P4—Ni3v | 113.93 (4) |
P2vi—Ni3—Ni3ii | 103.30 (2) | Ni1vi—P4—Ni3v | 113.93 (4) |
P2vii—Ni3—Ni3ii | 156.41 (2) | Ni1—P4—Ni3v | 60.81 (2) |
P1ii—Ni3—Ni3ii | 96.374 (19) | Ni2—P4—Ni3v | 179.81 (5) |
P1i—Ni3—Ni3ii | 56.292 (19) | Ni2vi—P4—Ni3v | 117.117 (13) |
P4xi—Ni3—Ni3ii | 58.64 (2) | Ni2vii—P4—Ni3v | 117.117 (13) |
Ni1xi—Ni3—Ni3ii | 108.624 (10) | Ni3xxiv—P4—Ni3v | 62.73 (4) |
P2vi—Ni3—Ni3i | 156.41 (2) | Ni3xxv—P4—Ni3v | 62.73 (4) |
Symmetry codes: (i) −y+1, x−y, z; (ii) −x+y+1, −x+1, z; (iii) x−y+1, x, z−1/2; (iv) y, −x+y, z−1/2; (v) −x+1, −y+1, z−1/2; (vi) −x+y, −x+1, z; (vii) −y+1, x−y+1, z; (viii) −y, x−y, z; (ix) −x+y+1, −x+2, z; (x) x, y+1, z; (xi) −x+1, −y+1, z+1/2; (xii) −y, x−y−1, z; (xiii) x−1, y, z; (xiv) −x+y−1, −x, z; (xv) x, y−1, z; (xvi) x+1, y, z; (xvii) −y+2, x−y+1, z; (xviii) −x+y, −x, z; (xix) −x, −y+1, z+1/2; (xx) y, −x+y+1, z+1/2; (xxi) x−y, x, z+1/2; (xxii) y−1, −x+y−1, z−1/2; (xxiii) −x, −y+1, z−1/2; (xxiv) x−y, x, z−1/2; (xxv) y, −x+y+1, z−1/2. |