Characterization of the Hexaazidophosphate(V) Ion
Table 2. Selected Average Bond Lengths and Angles of the [E(N3)6]n- Complexes of Group 14, 15, and 16 Elementsa
bond lengths [Å]b
bond angles [deg]b
E-NR
NR-Nꢀ
Nꢀ-Nγ
∆ΝΝc
E-NR-Nꢀ
NR-Nꢀ-Nγ
(PPN)[P(N3)6] (2)
1.81
1.94
2.08
1.87
1.97
2.13
1.23
1.23
1.22
1.20
1.21
1.20
1.13
1.13
1.13
1.15
1.15
1.14
0.10
0.10
0.10
0.06
0.07
0.07
118
116
117
124
120
115
175
175
175
176
176
176
(py-H)[As(N3)6] (9)
(Ph4P)[Sb(N3)6] (10)
(PPN)2[Si(N3)6] (3)
(PPN)2[Ge(N3)6] (4)
(Ph4P)2[Se(N3)6] (11)
a E ) P, As,19 Sb,20 n ) 1; Si,15 Ge,16 Se,21 n ) 2. Data were excluded for the ions [Sn(N3)6]2-
,
29 [Pb(N3)6]2- 30 and those which possess a stereochemically
,
active lone pair. b Rounded mean of the crystallographically independent parameters; uncertainty of the bond lengths is generally smaller than the last digit.
c ∆ΝΝ ) Do(NR-Nꢀ) - Do(Nꢀ-Nγ).
a
Table 3. Results of HF and DFT Calculations on [P(N3)6]-
bond lengths [Å]
bond angles [deg]
P-NR
NR-Nꢀ
Nꢀ-Nγ
∆ΝΝ
0.111
P-NR-Nꢀ
NR-Nꢀ-Nγ
S6 RHF/6-311G*
1.804
1.208
1.097
119.4
176.1
S6 B3LYP/6-311G*
1.834
1.808(4)
1.217
1.228(2)
1.137
1.131(4)
0.080
0.097(6)
120.5
117.8(3)
175.1
174.9(2)
b
X-ray
a Details of the theoretical calculations are found in the Supporting Information. b Unweighted mean xu of the three crystallographically independent bond
lengths and angles of 2 listed.31
bipyramidal PX4(N3) azido phosphoranes [P(O-R-O)-
(O-R′-O)(N3)],24 [P(O-R-O)(O-R′-NR′′)(N3)],25 {cyclo-
(P(N3)3(NPh)}2,26 and [P{N(CH2CH2NR)3}(N3)]+ (5-8)27
and the monoanionic group 15 hexaazides [As(N3)6]- (9)
and [Sb(N3)6]- (10) offers intriguing insight. For instance,
the bond lengths and angles of the axial azido group of
complexes 5-8 adopt values within narrow ranges and fully
encompass those of [P(N3)6]-, with the exception of slightly
longer P-NR bonds (1.8040(12)-1.8121(12) Å) in the latter.
Thus, the overall negative charge and increased coordination
number of 2 lengthen the coordinative P-NR bonds by 3-4
pm with respect to the unstrained phosphoranes 5 and 6.
Furthermore, a close relationship with the hexaazides 9 and
10 can be established on the basis of the range of average
NR-Nꢀ and Nꢀ-Nγ bond lengths, resulting in similar ∆NN
bond length differences of ca. 10 pm, as in 2 (Table 2). The
doubly charged group 14 and 16 hexaazido anions 3, 4, and
[Se(N3)6]2- (11), however, on average exhibit slightly shorter
NR-Nꢀ bonds and slightly longer Nꢀ-Nγ bonds, resulting
in smaller ∆NN values (6-7 pm). A comparison of the ∆NN
parameter as an indicator for π delocalization along the azido
ligand and E-N3 bond ionicity suggests that the ionic
character of the coordinative bonds in [P(N3)6]- is similar
to that in the As and Sb congeners 9 and 10 but weaker
than those of the dianionic complexes 3, 4, and 11. The fact
that, unlike [Si(N3)6]2- and [Ge(N3)6]2-, [P(N3)6]- does not
react with 2,2′-bipyridine under identical conditions at
ambient temperature in acetonitrile solution supports this
interpretation.
structure of S6 symmetry, which was checked by an evalu-
ation of the Hessian (energy, geometry, and vibrational
frequencies are given in the Supporting Information). The
flexibility of this structure is indicated by the presence of
angular-distortion modes with extremely low frequencies, the
lowest of which was found at 53 cm-1 (RHF) and 38 cm-1
(B3LYP), respectively. The calculated structural parameters
are close to those obtained from X-ray diffraction (see Table
3).
Furthermore, the near neighborhood of the S6 minimum
was explored for other stationary points. Imposition of D3d
symmetry yielded only a high-order stationary point on the
energy hypersurface, lying 201 and 139 kJ mol-1 above the
S6 minimum at RHF and DFT levels, respectively, and six
imaginary-frequency modes, A2g + A1u + Eg + Eu at i61 to
i167 cm-1 (RHF/6-311G*) and i50 to i138 cm-1 (B3LYP/
6-311G*), respectively. Thus, D3d cannot be a candidate for
the symmetry of the “free” anion. Relaxation of this structure
within the D3 subgroup of D3d gave a new structure predicted
(24) Kumaraswamy, S.; Muthiah, C.; Swamy, K. C. K. J. Am. Chem. Soc.
2000, 122, 964–965.
(25) Kumar, N. S.; Kommana, P.; Vittal, J. J. S.; Swamy, K. C. K. J. Org.
Chem. 2002, 67, 6653–6658.
(26) Aubauer, C.; Klapoetke, T. M.; Noth, H.; Schulz, A.; Suter, M.;
Weigand, J. Chem. Commun. 2000, 2491–2492.
(27) Thirupathi, N.; Liu, X.; Verkade, J. G. Inorg. Chem. 2003, 42, 389–
397.
(28) Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb,
M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T.; Kudin,
K. N.; Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone,
V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.;
Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa,
J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene,
M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Adamo, C.;
Jaramillo, J.; Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin,
A. J.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Ayala, P. Y.;
Morokuma, K.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.;
Zakrzewski, V. G.; Dapprich, S.; Daniels, A. D.; Strain, M. C.; Farkas,
O.; Malick, D. K.; Rabuck, A. D.; Raghavachari, K.; Foresman, J. B.;
Ortiz, J. V.; Cui, Q.; Baboul, A. G.; Clifford, S.; Cioslowski, J.;
Stefanov, B. B.; Liu, G.; Liashenko, A.; Piskorz, P.; Komaromi, I.;
Martin, R. L.; Fox, D. J.; Keith, T.; Al-Laham, M. A.; Peng, C. Y.;
Nanayakkara, A.; Challacombe, M.; Gill, P. M. W.; Johnson, B.; Chen,
W.; Wong, M. W.; Gonzales, C.; Pople, J. A. Gaussian 03, revision
B.01; Gaussian, Inc.: Pittsburgh, PA, 2003.
The results of the X-ray investigation of the structure of
the [P(N3)6]- ion are in contradiction with the previously
proposed6 D3d point-group symmetry for the ion in solution.
To shed further light on the [P(N3)6]- structure in solution,
ab initio calculations were carried out.28 Assignment of
idealized S6 point-group symmetry to the [P(N3)6]- ion was
found to be consistent with the results of calculations for
the “free” ion. Unconstrained optimization at both RHF/6-
311G* and B3LYP/6-311G* levels gave a minimum for a
Inorganic Chemistry, Vol. 47, No. 24, 2008 12007