Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S1600536802015064/ya6129sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S1600536802015064/ya6129Isup2.hkl |
The sample of PbCl4 was prepared by the reaction between pyridinium hexachloroplumbate(IV) and sulfuric acid according to the method of Kauffman et al. (1983).
A stable solid-liquid equilibrium was established at 262 K in a sample of lead(IV) chloride held in a capillary mounted on a Stoe Stadi-4 diffractometer equipped with an Oxford Cryosystems low-temperature device. A crystal was then obtained by cooling the sample at a rate of 10 K h−1. Data were collected at 150 K, a previous experiment having shown that the sample decomposed in the X-ray beam during data collection at 220 K.
The length of a crystal is difficult to control when growing a crystal of a low-melting compound in a capillary. It was almost certainly larger than the 0.8 mm collimator used. The value of µ is high, and a numerical absorption correction would normally be required. However, the cylindrical symmetry of the axially mounted sample meant that absorption anisotropy was low. A cylindrical absorption correction was attempted, and the results were satisfactory [R(F) = 2.3%, Δρmax = +1.8 e Å−3]. However, slightly better results were obtained by applying ψ scans, and these are the results presented here.
The structure was solved by Patterson methods (DIRDIF; Beurskens et al., 1996) and refined by full-matrix least squares against F2 using all data (CRYSTALS; Watkin et al., 2001). The highest difference Fourier peak was 0.935 Å from Pb1.
Continuous symmetry measures were calculated using a locally written program based on the procedure given by Pinsky & Avnir (1998).
The data for calculating bond valences were taken from https://www.CCP14.ac.uk/CCP/web-mirrors/i_d_brown/bond_valence_parm/.
Data collection: DIF4 (Stoe & Cie, 1990); cell refinement: DIF4; data reduction: REDU4 (Stoe & Cie, 1990); program(s) used to solve structure: DIRDIF96 (Beurskens et al., 1996); program(s) used to refine structure: CRYSTALS (Watkin et al., 2001); molecular graphics: CAMERON (Watkin et al., 1996) and XP (Sheldrick, 2001); software used to prepare material for publication: CRYSTALS.
PbCl4 | F(000) = 588.601 |
Mr = 349.01 | Dx = 3.812 Mg m−3 |
Monoclinic, I2/a | Melting point: 262 K |
Hall symbol: -I 2ya | Mo Kα radiation, λ = 0.71073 Å |
a = 10.542 (8) Å | Cell parameters from 88 reflections |
b = 5.359 (3) Å | θ = 13–21° |
c = 11.958 (5) Å | µ = 29.35 mm−1 |
β = 115.83 (2)° | T = 150 K |
V = 608.0 (6) Å3 | Cylinder, colourless |
Z = 4 | 1.00 × 0.20 × 0.20 mm |
Stoe Stadi-4 diffractometer | Rint = 0.07 |
Graphite monochromator | θmax = 25.0°, θmin = 3.8° |
ω/θ scans | h = −11→12 |
Absorption correction: empirical (using intensity measurements) via ψ scans [XPREP (Sheldrick (2001) based on method of North et al. (1968)] | k = −6→6 |
Tmin = 0.002, Tmax = 0.002 | l = −14→2 |
2322 measured reflections | 3 standard reflections every 0 reflections |
536 independent reflections | intensity decay: 0.0% |
363 reflections with I > 4σ(I) |
Refinement on F2 | Primary atom site location: Patterson |
Least-squares matrix: full | Method: Tukey & Prince (Carruthers & Watkin, 1979)
W = [weight][1-(ΔF/6σF)2]2 where [weight] is given by a four-term Chebychev polynomial with coefficients 43.7, 56.2, 32.6 and 13.2. |
R[F2 > 2σ(F2)] = 0.019 | (Δ/σ)max = 0.0002 |
wR(F2) = 0.057 | Δρmax = 1.64 e Å−3 |
S = 0.94 | Δρmin = −0.71 e Å−3 |
534 reflections | Extinction correction: Larson (1970) eq. 22 |
25 parameters | Extinction coefficient: 50.6 (27) |
PbCl4 | V = 608.0 (6) Å3 |
Mr = 349.01 | Z = 4 |
Monoclinic, I2/a | Mo Kα radiation |
a = 10.542 (8) Å | µ = 29.35 mm−1 |
b = 5.359 (3) Å | T = 150 K |
c = 11.958 (5) Å | 1.00 × 0.20 × 0.20 mm |
β = 115.83 (2)° |
Stoe Stadi-4 diffractometer | 363 reflections with I > 4σ(I) |
Absorption correction: empirical (using intensity measurements) via ψ scans [XPREP (Sheldrick (2001) based on method of North et al. (1968)] | Rint = 0.07 |
Tmin = 0.002, Tmax = 0.002 | 3 standard reflections every 0 reflections |
2322 measured reflections | intensity decay: 0.0% |
536 independent reflections |
R[F2 > 2σ(F2)] = 0.019 | 25 parameters |
wR(F2) = 0.057 | Δρmax = 1.64 e Å−3 |
S = 0.94 | Δρmin = −0.71 e Å−3 |
534 reflections |
x | y | z | Uiso*/Ueq | ||
Pb1 | 0.7500 | 0.25755 (7) | 0.0000 | 0.0184 | |
Cl1 | 0.5587 (3) | 0.0050 (4) | −0.1292 (2) | 0.0263 | |
Cl2 | 0.8146 (3) | 0.5092 (4) | −0.1292 (2) | 0.0275 |
U11 | U22 | U33 | U12 | U13 | U23 | |
Pb1 | 0.0187 (4) | 0.0184 (4) | 0.0159 (4) | 0.0000 | 0.0055 (2) | 0.0000 |
Cl1 | 0.0219 (11) | 0.028 (1) | 0.0239 (12) | −0.0045 (9) | 0.0051 (9) | −0.0033 (9) |
Cl2 | 0.0303 (12) | 0.027 (1) | 0.0258 (12) | −0.0015 (9) | 0.013 (1) | 0.0044 (9) |
Pb1—Cl1 | 2.360 (2) | Pb1—Cl2 | 2.363 (2) |
Cl1—Pb1—Cl1i | 110.01 (12) | Cl1—Pb1—Cl2i | 110.35 (8) |
Cl1—Pb1—Cl2 | 107.86 (8) | Cl2—Pb1—Cl2i | 110.41 (12) |
Symmetry code: (i) −x+3/2, y, −z. |
Experimental details
Crystal data | |
Chemical formula | PbCl4 |
Mr | 349.01 |
Crystal system, space group | Monoclinic, I2/a |
Temperature (K) | 150 |
a, b, c (Å) | 10.542 (8), 5.359 (3), 11.958 (5) |
β (°) | 115.83 (2) |
V (Å3) | 608.0 (6) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 29.35 |
Crystal size (mm) | 1.00 × 0.20 × 0.20 |
Data collection | |
Diffractometer | Stoe Stadi-4 diffractometer |
Absorption correction | Empirical (using intensity measurements) via ψ scans [XPREP (Sheldrick (2001) based on method of North et al. (1968)] |
Tmin, Tmax | 0.002, 0.002 |
No. of measured, independent and observed [I > 4σ(I)] reflections | 2322, 536, 363 |
Rint | 0.07 |
(sin θ/λ)max (Å−1) | 0.594 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.019, 0.057, 0.94 |
No. of reflections | 534 |
No. of parameters | 25 |
No. of restraints | ? |
Δρmax, Δρmin (e Å−3) | 1.64, −0.71 |
Computer programs: DIF4 (Stoe & Cie, 1990), DIF4, REDU4 (Stoe & Cie, 1990), DIRDIF96 (Beurskens et al., 1996), CRYSTALS (Watkin et al., 2001), CAMERON (Watkin et al., 1996) and XP (Sheldrick, 2001), CRYSTALS.
Pb1—Cl1 | 2.360 (2) | Pb1—Cl2 | 2.363 (2) |
Cl1—Pb1—Cl1i | 110.01 (12) | Cl1—Pb1—Cl2i | 110.35 (8) |
Cl1—Pb1—Cl2 | 107.86 (8) | Cl2—Pb1—Cl2i | 110.41 (12) |
Symmetry code: (i) −x+3/2, y, −z. |
Lead(IV) chloride exists under ambient conditions as a volatile air-sensitive liquid with a melting point of 258 K (Biltz & Meinecke, 1923). The compound is thermally fragile and decomposes readily under ambient conditions to give lead(II) chloride and chlorine. A gas electron-diffraction study of the vapour has shown the presence of tetrahedral molecules with a Pb—Cl bond length of 2.373 (3) Å (Haaland et al., 1992). Vibrational spectra of the liquid and solid also suggest a structure composed of essentially isolated tetrahedral molecules (Clark & Willis, 1971; Clark & Hunter, 1971), in contrast to the pseudo-octahedral geometries found for lead in PbF4 (Bork & Hoppe, 1996).
The crystal structures of the Group 14 tetrachlorides, MCl4, have been reported for M = C (Piermarini, 1973), Si (Zakharov et al., 1986), Ge (Merz & Driess, 2002) and Sn (Reuter & Pawlak, 2000). They form an isostructural series, being monoclinic, P21/c, with cell dimensions in the ranges a = 9.07–9.86, b = 5.76–6.68 and c = 9.20–9.94 Å, which all increase as the group is descended from carbon to tin. All structures have values of β in the range 103–105°. The structures consist of isolated tetrahedral MCl4 molecules.
The structure of lead(IV) chloride also consists of essentially isolated tetrahedral molecules of PbCl4 (Fig. 1). However, though the crystal system is monoclinic, the lattice type is centred (I-centred in the setting given here) rather than primitive, and it is clear that this compound does not follow the trend established by the lighter members of Group 14. The molecule resides on a crystallographic twofold axis at (3/4, y, 0), where y is very close to 1/4. This introduces pseudo-C-centring operation into the lead positions, with the result that though the mean I/σ for the data set as a whole is 27.1, that for data with h+k ≠ 2n is only 5.4. There is also peudosymmetry in the Cl positions, and this is discussed in more detail below. The Pb—Cl bond lengths are 2.360 (2) and 2.363 (2) Å, which correspond to exactly one bond-valence unit (Brown, 2002).
The shortest Cl···Cl contact observed in this structure is 3.661 (5) Å, which is slightly larger than twice the van der Waals radius of chlorine (3.5 Å; Bondi, 1964). The Pb.·Cl contacts are well outside sum of the van der Waals radii of Pb and Cl (4.09 Å). There are concentric shells of Cl atoms around the lead atom, the first of them consisting of 12 Cl atoms at a distance of 4.340–4.455 (2) Å. The shortest Pb···Pb distance is 5.359 Å. As in the structures of the lighter analogues, therefore, there are no intermolecular contacts of any significance.
The structures of carbon, silicon, germanium and tin tetrachlorides can all be considered to be based on hexagonal close packing (h.c.p.) of Cl atoms (Reuter & Pawlak, 2000). Fig. 2 is taken from the structure of SnCl4 and shows the ABA layers characteristic of h.c.p. arrays. By contrast the Cl atoms in PbCl4 form a cubic close-packed (CCP) array; Fig. 3 shows the characteristic ABC layering sequence. Deviations from ideal symmetry may be gauged using the continuous symmetry measure (CSM) parameter described by Pinsky & Avnir (1998). The collection of the 13 atoms shown in Fig. 3 has a CSM of 0.044% relative to perfect CCP; the corresponding figure for the geometry about Cl2 is 0.037%. For comparison, the CSM values for the four independent Cl atoms in SnCl4 versus perfect h.c.p. are 0.103, 0.070, 0.073 and 0.081% for Cl1 to Cl4, respectively. The agreement with perfect close packing is excellent in both cases; the slightly larger deviations for perfect h.c.p. are to be expected because the layer separation in h.c.p. is not restricted by symmetry.