The title compound, [Zn(C
15H
13ClN
2O
2)
2(C
5H
5N)
2], is a centrosymmetric monomer with octahedral geometry about the Zn atom. The molecule is stabilized by intermolecular C—H
O and C—H
Cl interactions, so forming a three-dimensional network.
Supporting information
CCDC reference: 251613
Key indicators
- Single-crystal X-ray study
- T = 273 K
- Mean (C-C) = 0.005 Å
- R factor = 0.054
- wR factor = 0.134
- Data-to-parameter ratio = 16.1
checkCIF/PLATON results
No syntax errors found
Alert level C
PLAT152_ALERT_1_C Supplied and Calc Volume s.u. Inconsistent ..... ?
PLAT380_ALERT_4_C Incorrectly Oriented X(sp2)-Methyl Moiety ...... C9
PLAT431_ALERT_2_C Short Inter HL..A Contact Cl1 .. N2 .. 3.27 Ang.
PLAT706_ALERT_1_C H...A Calc 1.74(4), Rep 1.69(4), Dev.. 1.25 Sigma
H2D -N2 1.555 3.656
PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 1
O1 -ZN1 -O1 -C7 -121.00100.00 3.656 1.555 1.555 1.555
PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 8
N1 -ZN1 -N1 -C8 -59.00 35.00 3.656 1.555 1.555 1.555
PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 13
N1 -ZN1 -N1 -N2 117.00 35.00 3.656 1.555 1.555 3.656
PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 20
N3 -ZN1 -N3 -C16 101.00100.00 3.656 1.555 1.555 1.555
PLAT710_ALERT_4_C Delete 1-2-3 or 2-3-4 Linear Torsion Angle ... # 25
N3 -ZN1 -N3 -C20 -79.00100.00 3.656 1.555 1.555 1.555
0 ALERT level A = In general: serious problem
0 ALERT level B = Potentially serious problem
9 ALERT level C = Check and explain
0 ALERT level G = General alerts; check
2 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
0 ALERT type 3 Indicator that the structure quality may be low
6 ALERT type 4 Improvement, methodology, query or suggestion
Data collection: SMART (Siemens, 1996); cell refinement: SAINT (Siemens, 1996); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: SHELXTL (Sheldrick, 1997); software used to prepare material for publication: SHELXTL, PARST (Nardelli, 1995) and PLATON (Spek, 2003).
Bis{2'-[1-(2-hydroxy-5-chlorophenyl)ethylidine]benzohydrazido-
κ2O,
N2'}bis(pyridine-
κN)zinc(II)
top
Crystal data top
[Zn(C15H13ClN2O2)2(C5H5N)2] | F(000) = 824 |
Mr = 799.00 | Dx = 1.384 Mg m−3 |
Monoclinic, P21/c | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: -P 2ybc | Cell parameters from 2652 reflections |
a = 10.2453 (17) Å | θ = 2.0–26.5° |
b = 15.388 (3) Å | µ = 0.83 mm−1 |
c = 12.359 (2) Å | T = 273 K |
β = 100.189 (3)° | Plate, light yellow |
V = 1917.8 (5) Å3 | 0.48 × 0.46 × 0.09 mm |
Z = 2 | |
Data collection top
Bruker SMART APEX area-detector diffractometer | 3939 independent reflections |
Radiation source: fine-focus sealed tube | 3205 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.021 |
Detector resolution: 83.66 pixels mm-1 | θmax = 26.5°, θmin = 2.0° |
ω scan | h = −9→12 |
Absorption correction: multi-scan (SADABS; Sheldrick, 1996) | k = −13→19 |
Tmin = 0.692, Tmax = 0.929 | l = −15→14 |
8429 measured reflections | |
Refinement top
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.054 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.134 | H atoms treated by a mixture of independent and constrained refinement |
S = 1.08 | w = 1/[σ2(Fo2) + (0.0641P)2 + 0.6133P] where P = (Fo2 + 2Fc2)/3 |
3939 reflections | (Δ/σ)max < 0.001 |
245 parameters | Δρmax = 0.54 e Å−3 |
0 restraints | Δρmin = −0.31 e Å−3 |
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top | x | y | z | Uiso*/Ueq | |
Zn1 | 0.5000 | 0.0000 | 0.5000 | 0.04693 (17) | |
Cl1 | 0.46583 (15) | 0.13135 (8) | −0.15097 (8) | 0.1098 (4) | |
O1 | 0.59737 (19) | 0.11333 (12) | 0.53713 (14) | 0.0503 (5) | |
O2 | 0.1376 (2) | 0.02337 (17) | 0.1666 (2) | 0.0711 (7) | |
H2D | 0.182 (4) | −0.006 (2) | 0.216 (3) | 0.071 (11)* | |
N1 | 0.4076 (2) | 0.01629 (13) | 0.32608 (17) | 0.0428 (5) | |
N2 | 0.6782 (2) | 0.05290 (13) | 0.70600 (16) | 0.0417 (5) | |
N3 | 0.3186 (2) | 0.06151 (16) | 0.54533 (18) | 0.0533 (6) | |
C1 | 0.8255 (3) | 0.2050 (2) | 0.7659 (3) | 0.0653 (8) | |
H1B | 0.8202 | 0.1642 | 0.8205 | 0.078* | |
C2 | 0.9034 (4) | 0.2774 (3) | 0.7900 (3) | 0.0906 (12) | |
H2C | 0.9512 | 0.2851 | 0.8606 | 0.109* | |
C3 | 0.9110 (5) | 0.3381 (3) | 0.7112 (4) | 0.0957 (14) | |
H3A | 0.9643 | 0.3869 | 0.7278 | 0.115* | |
C4 | 0.8405 (4) | 0.3269 (2) | 0.6086 (4) | 0.0865 (12) | |
H4A | 0.8453 | 0.3686 | 0.5549 | 0.104* | |
C5 | 0.7624 (3) | 0.25536 (19) | 0.5827 (3) | 0.0601 (8) | |
H5A | 0.7139 | 0.2489 | 0.5121 | 0.072* | |
C6 | 0.7553 (3) | 0.19244 (17) | 0.6613 (2) | 0.0442 (6) | |
C7 | 0.6709 (2) | 0.11446 (16) | 0.63095 (19) | 0.0387 (5) | |
C8 | 0.4212 (3) | 0.07092 (17) | 0.2494 (2) | 0.0464 (6) | |
C9 | 0.5179 (4) | 0.1437 (2) | 0.2796 (3) | 0.0807 (12) | |
H9A | 0.5573 | 0.1391 | 0.3558 | 0.121* | |
H9B | 0.4724 | 0.1983 | 0.2669 | 0.121* | |
H9C | 0.5859 | 0.1405 | 0.2353 | 0.121* | |
C10 | 0.3518 (3) | 0.06968 (17) | 0.1325 (2) | 0.0456 (6) | |
C11 | 0.4255 (3) | 0.09555 (18) | 0.0531 (2) | 0.0551 (7) | |
H11A | 0.5155 | 0.1074 | 0.0741 | 0.066* | |
C12 | 0.3672 (4) | 0.1038 (2) | −0.0552 (3) | 0.0676 (9) | |
C13 | 0.2346 (5) | 0.0890 (2) | −0.0877 (3) | 0.0781 (11) | |
H13A | 0.1950 | 0.0969 | −0.1608 | 0.094* | |
C14 | 0.1610 (4) | 0.0626 (2) | −0.0125 (3) | 0.0746 (10) | |
H14A | 0.0709 | 0.0521 | −0.0351 | 0.090* | |
C15 | 0.2173 (3) | 0.05092 (18) | 0.0978 (2) | 0.0543 (7) | |
C16 | 0.2223 (4) | 0.0164 (2) | 0.5770 (3) | 0.0647 (8) | |
H16A | 0.2295 | −0.0438 | 0.5806 | 0.078* | |
C17 | 0.1109 (4) | 0.0552 (3) | 0.6052 (3) | 0.0775 (10) | |
H17A | 0.0452 | 0.0216 | 0.6277 | 0.093* | |
C18 | 0.0996 (4) | 0.1427 (3) | 0.5993 (3) | 0.0835 (11) | |
H18A | 0.0253 | 0.1703 | 0.6169 | 0.100* | |
C19 | 0.1976 (4) | 0.1893 (3) | 0.5675 (4) | 0.0904 (12) | |
H19A | 0.1922 | 0.2496 | 0.5638 | 0.108* | |
C20 | 0.3044 (4) | 0.1475 (2) | 0.5409 (3) | 0.0744 (9) | |
H20A | 0.3708 | 0.1805 | 0.5185 | 0.089* | |
Atomic displacement parameters (Å2) top | U11 | U22 | U33 | U12 | U13 | U23 |
Zn1 | 0.0543 (3) | 0.0434 (3) | 0.0407 (2) | −0.0127 (2) | 0.00203 (18) | −0.00083 (17) |
Cl1 | 0.1753 (12) | 0.1024 (8) | 0.0643 (6) | 0.0160 (8) | 0.0558 (7) | 0.0238 (5) |
O1 | 0.0604 (12) | 0.0428 (10) | 0.0441 (10) | −0.0118 (9) | −0.0003 (8) | 0.0033 (8) |
O2 | 0.0457 (12) | 0.0806 (16) | 0.0842 (16) | 0.0065 (12) | 0.0036 (11) | 0.0239 (13) |
N1 | 0.0485 (13) | 0.0389 (12) | 0.0408 (11) | −0.0097 (9) | 0.0070 (9) | −0.0009 (8) |
N2 | 0.0441 (12) | 0.0394 (12) | 0.0411 (11) | −0.0081 (9) | 0.0060 (9) | −0.0010 (9) |
N3 | 0.0543 (14) | 0.0540 (15) | 0.0503 (13) | −0.0025 (12) | 0.0060 (10) | 0.0002 (11) |
C1 | 0.070 (2) | 0.067 (2) | 0.0582 (18) | −0.0218 (17) | 0.0097 (15) | −0.0114 (15) |
C2 | 0.097 (3) | 0.092 (3) | 0.081 (3) | −0.046 (2) | 0.008 (2) | −0.030 (2) |
C3 | 0.108 (3) | 0.067 (2) | 0.119 (4) | −0.050 (2) | 0.040 (3) | −0.035 (2) |
C4 | 0.115 (3) | 0.050 (2) | 0.102 (3) | −0.029 (2) | 0.039 (2) | −0.0021 (19) |
C5 | 0.072 (2) | 0.0425 (16) | 0.0681 (19) | −0.0109 (15) | 0.0196 (15) | 0.0003 (13) |
C6 | 0.0409 (14) | 0.0398 (14) | 0.0543 (15) | −0.0051 (11) | 0.0154 (11) | −0.0096 (11) |
C7 | 0.0379 (13) | 0.0393 (13) | 0.0404 (13) | −0.0029 (11) | 0.0112 (10) | −0.0046 (10) |
C8 | 0.0531 (16) | 0.0400 (14) | 0.0453 (14) | −0.0067 (12) | 0.0061 (11) | 0.0010 (11) |
C9 | 0.115 (3) | 0.067 (2) | 0.0531 (18) | −0.045 (2) | −0.0035 (18) | 0.0125 (15) |
C10 | 0.0572 (17) | 0.0348 (13) | 0.0437 (13) | 0.0036 (12) | 0.0056 (11) | 0.0009 (10) |
C11 | 0.069 (2) | 0.0471 (16) | 0.0497 (15) | 0.0024 (14) | 0.0120 (13) | 0.0073 (12) |
C12 | 0.110 (3) | 0.0480 (18) | 0.0475 (16) | 0.0085 (18) | 0.0225 (17) | 0.0052 (13) |
C13 | 0.121 (3) | 0.058 (2) | 0.0454 (17) | −0.001 (2) | −0.0142 (19) | 0.0036 (14) |
C14 | 0.080 (2) | 0.060 (2) | 0.071 (2) | −0.0042 (18) | −0.0204 (18) | 0.0099 (16) |
C15 | 0.0610 (19) | 0.0385 (15) | 0.0592 (17) | 0.0053 (13) | −0.0003 (14) | 0.0030 (12) |
C16 | 0.068 (2) | 0.064 (2) | 0.0631 (19) | −0.0033 (17) | 0.0135 (16) | −0.0014 (15) |
C17 | 0.063 (2) | 0.098 (3) | 0.074 (2) | −0.006 (2) | 0.0179 (17) | 0.000 (2) |
C18 | 0.065 (2) | 0.098 (3) | 0.085 (3) | 0.025 (2) | 0.0094 (19) | 0.000 (2) |
C19 | 0.083 (3) | 0.071 (3) | 0.117 (3) | 0.021 (2) | 0.017 (2) | 0.010 (2) |
C20 | 0.069 (2) | 0.060 (2) | 0.094 (3) | 0.0052 (18) | 0.0126 (18) | 0.0135 (18) |
Geometric parameters (Å, º) top
Zn1—O1i | 2.022 (2) | C5—H5A | 0.9300 |
Zn1—O1 | 2.022 (2) | C6—C7 | 1.488 (3) |
Zn1—N1 | 2.206 (2) | C8—C10 | 1.493 (4) |
Zn1—N1i | 2.206 (2) | C8—C9 | 1.499 (4) |
Zn1—N3 | 2.243 (3) | C9—H9A | 0.9600 |
Zn1—N3i | 2.243 (3) | C9—H9B | 0.9600 |
Cl1—C12 | 1.737 (4) | C9—H9C | 0.9600 |
O1—C7 | 1.263 (3) | C10—C11 | 1.398 (4) |
O2—C15 | 1.348 (5) | C10—C15 | 1.399 (4) |
O2—H2D | 0.87 (4) | C11—C12 | 1.372 (4) |
N1—C8 | 1.291 (4) | C11—H11A | 0.9300 |
N1—N2i | 1.393 (3) | C12—C13 | 1.366 (5) |
N2—C7 | 1.321 (4) | C13—C14 | 1.359 (5) |
N2—N1i | 1.393 (3) | C13—H13A | 0.9300 |
N3—C16 | 1.324 (5) | C14—C15 | 1.395 (4) |
N3—C20 | 1.331 (5) | C14—H14A | 0.9300 |
C1—C2 | 1.372 (5) | C16—C17 | 1.385 (5) |
C1—C6 | 1.378 (4) | C16—H16A | 0.9300 |
C1—H1B | 0.9300 | C17—C18 | 1.353 (6) |
C2—C3 | 1.361 (6) | C17—H17A | 0.9300 |
C2—H2C | 0.9300 | C18—C19 | 1.348 (6) |
C3—C4 | 1.356 (6) | C18—H18A | 0.9300 |
C3—H3A | 0.9300 | C19—C20 | 1.359 (5) |
C4—C5 | 1.366 (5) | C19—H19A | 0.9300 |
C4—H4A | 0.9300 | C20—H20A | 0.9300 |
C5—C6 | 1.383 (4) | | |
| | | |
O1i—Zn1—O1 | 180.00 (13) | N2—C7—C6 | 116.3 (2) |
O1i—Zn1—N1 | 76.53 (8) | N1—C8—C10 | 127.3 (2) |
O1—Zn1—N1 | 103.47 (8) | N1—C8—C9 | 117.1 (2) |
O1i—Zn1—N1i | 103.47 (8) | C10—C8—C9 | 115.6 (2) |
O1—Zn1—N1i | 76.53 (8) | C8—C9—H9A | 109.5 |
N1—Zn1—N1i | 180.0 | C8—C9—H9B | 109.5 |
O1i—Zn1—N3 | 91.33 (10) | H9A—C9—H9B | 109.5 |
O1—Zn1—N3 | 88.67 (10) | C8—C9—H9C | 109.5 |
N1—Zn1—N3 | 87.98 (10) | H9A—C9—H9C | 109.5 |
N1i—Zn1—N3 | 92.02 (10) | H9B—C9—H9C | 109.5 |
O1i—Zn1—N3i | 88.67 (10) | C11—C10—C15 | 118.0 (3) |
O1—Zn1—N3i | 91.33 (10) | C11—C10—C8 | 116.8 (3) |
N1—Zn1—N3i | 92.02 (10) | C15—C10—C8 | 125.0 (2) |
N1i—Zn1—N3i | 87.98 (10) | C12—C11—C10 | 121.0 (3) |
N3—Zn1—N3i | 180.0 | C12—C11—H11A | 119.5 |
C7—O1—Zn1 | 114.18 (16) | C10—C11—H11A | 119.5 |
C15—O2—H2D | 109 (3) | C13—C12—C11 | 120.7 (3) |
C8—N1—N2i | 115.6 (2) | C13—C12—Cl1 | 120.5 (3) |
C8—N1—Zn1 | 134.88 (18) | C11—C12—Cl1 | 118.8 (3) |
N2i—N1—Zn1 | 109.34 (14) | C14—C13—C12 | 119.4 (3) |
C7—N2—N1i | 113.2 (2) | C14—C13—H13A | 120.3 |
C16—N3—C20 | 116.8 (3) | C12—C13—H13A | 120.3 |
C16—N3—Zn1 | 123.2 (2) | C13—C14—C15 | 121.6 (3) |
C20—N3—Zn1 | 119.9 (2) | C13—C14—H14A | 119.2 |
C2—C1—C6 | 120.3 (3) | C15—C14—H14A | 119.2 |
C2—C1—H1B | 119.9 | O2—C15—C14 | 117.7 (3) |
C6—C1—H1B | 119.9 | O2—C15—C10 | 123.1 (3) |
C3—C2—C1 | 120.5 (4) | C14—C15—C10 | 119.2 (3) |
C3—C2—H2C | 119.8 | N3—C16—C17 | 122.7 (3) |
C1—C2—H2C | 119.8 | N3—C16—H16A | 118.7 |
C4—C3—C2 | 119.6 (3) | C17—C16—H16A | 118.7 |
C4—C3—H3A | 120.2 | C18—C17—C16 | 118.8 (4) |
C2—C3—H3A | 120.2 | C18—C17—H17A | 120.6 |
C3—C4—C5 | 121.0 (4) | C16—C17—H17A | 120.6 |
C3—C4—H4A | 119.5 | C19—C18—C17 | 119.0 (4) |
C5—C4—H4A | 119.5 | C19—C18—H18A | 120.5 |
C4—C5—C6 | 120.1 (3) | C17—C18—H18A | 120.5 |
C4—C5—H5A | 119.9 | C18—C19—C20 | 119.4 (4) |
C6—C5—H5A | 119.9 | C18—C19—H19A | 120.3 |
C1—C6—C5 | 118.5 (3) | C20—C19—H19A | 120.3 |
C1—C6—C7 | 122.3 (3) | N3—C20—C19 | 123.3 (4) |
C5—C6—C7 | 119.2 (2) | N3—C20—H20A | 118.4 |
O1—C7—N2 | 125.8 (2) | C19—C20—H20A | 118.4 |
O1—C7—C6 | 117.9 (2) | | |
| | | |
O1i—Zn1—O1—C7 | −121 (100) | N1i—N2—C7—O1 | −1.5 (4) |
N1i—Zn1—O1—C7 | 7.65 (17) | N1i—N2—C7—C6 | 177.3 (2) |
N1—Zn1—O1—C7 | −172.35 (17) | C1—C6—C7—O1 | 171.5 (3) |
N3—Zn1—O1—C7 | 100.11 (18) | C5—C6—C7—O1 | −7.6 (4) |
N3i—Zn1—O1—C7 | −79.89 (18) | C1—C6—C7—N2 | −7.4 (4) |
O1i—Zn1—N1—C8 | −167.1 (3) | C5—C6—C7—N2 | 173.6 (2) |
O1—Zn1—N1—C8 | 12.9 (3) | N2i—N1—C8—C10 | 2.4 (4) |
N1i—Zn1—N1—C8 | −59 (35) | Zn1—N1—C8—C10 | 177.5 (2) |
N3—Zn1—N1—C8 | 101.0 (3) | N2i—N1—C8—C9 | −177.0 (3) |
N3i—Zn1—N1—C8 | −79.0 (3) | Zn1—N1—C8—C9 | −2.0 (4) |
O1i—Zn1—N1—N2i | 8.19 (15) | N1—C8—C10—C11 | −143.1 (3) |
O1—Zn1—N1—N2i | −171.81 (15) | C9—C8—C10—C11 | 36.3 (4) |
N1i—Zn1—N1—N2i | 117 (35) | N1—C8—C10—C15 | 41.8 (4) |
N3—Zn1—N1—N2i | −83.69 (16) | C9—C8—C10—C15 | −138.7 (3) |
N3i—Zn1—N1—N2i | 96.31 (16) | C15—C10—C11—C12 | 1.1 (4) |
O1i—Zn1—N3—C16 | 24.2 (2) | C8—C10—C11—C12 | −174.3 (3) |
O1—Zn1—N3—C16 | −155.8 (2) | C10—C11—C12—C13 | 1.7 (5) |
N1i—Zn1—N3—C16 | −79.4 (2) | C10—C11—C12—Cl1 | −177.1 (2) |
N1—Zn1—N3—C16 | 100.6 (2) | C11—C12—C13—C14 | −2.6 (5) |
N3i—Zn1—N3—C16 | 101 (100) | Cl1—C12—C13—C14 | 176.2 (3) |
O1i—Zn1—N3—C20 | −155.8 (2) | C12—C13—C14—C15 | 0.6 (5) |
O1—Zn1—N3—C20 | 24.2 (2) | C13—C14—C15—O2 | −179.0 (3) |
N1i—Zn1—N3—C20 | 100.6 (2) | C13—C14—C15—C10 | 2.2 (5) |
N1—Zn1—N3—C20 | −79.4 (2) | C11—C10—C15—O2 | 178.3 (3) |
N3i—Zn1—N3—C20 | −79 (100) | C8—C10—C15—O2 | −6.7 (4) |
C6—C1—C2—C3 | 0.7 (6) | C11—C10—C15—C14 | −3.0 (4) |
C1—C2—C3—C4 | 0.4 (7) | C8—C10—C15—C14 | 172.0 (3) |
C2—C3—C4—C5 | −0.4 (7) | C20—N3—C16—C17 | −0.2 (5) |
C3—C4—C5—C6 | −0.7 (6) | Zn1—N3—C16—C17 | 179.8 (2) |
C2—C1—C6—C5 | −1.7 (5) | N3—C16—C17—C18 | 0.5 (6) |
C2—C1—C6—C7 | 179.2 (3) | C16—C17—C18—C19 | −0.8 (6) |
C4—C5—C6—C1 | 1.7 (5) | C17—C18—C19—C20 | 0.8 (6) |
C4—C5—C6—C7 | −179.2 (3) | C16—N3—C20—C19 | 0.3 (5) |
Zn1—O1—C7—N2 | −6.4 (3) | Zn1—N3—C20—C19 | −179.7 (3) |
Zn1—O1—C7—C6 | 174.85 (16) | C18—C19—C20—N3 | −0.6 (6) |
Symmetry code: (i) −x+1, −y, −z+1. |
Hydrogen-bond geometry (Å, º) top
D—H···A | D—H | H···A | D···A | D—H···A |
O2—H2D···N1 | 0.87 (5) | 2.45 (4) | 3.101 (4) | 132 (4) |
C9—H9A···O1 | 0.96 | 2.24 | 3.177 (4) | 165 |
C20—H20A···O1 | 0.93 | 2.51 | 3.053 (5) | 117 |
O2—H2D···N2i | 0.87 (5) | 1.69 (4) | 2.522 (4) | 160 (4) |
C3—H3A···O2ii | 0.93 | 2.47 | 3.272 (6) | 144 |
C9—H9B···Cl1iii | 0.96 | 2.82 | 3.629 (5) | 143 |
Symmetry codes: (i) −x+1, −y, −z+1; (ii) x+1, −y+1/2, z+1/2; (iii) x, −y+1/2, z+1/2. |