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In the title compound, C15H13N2+·C24H20B-, the pyridyl ring of the cation makes a dihedral angle of 1.6° with the benzene ring. Each is rotated in the same direction with respect to the central -C-CH=CH-C- linkage, by 3.8 and 5.3°, respectively. The anions have a slightly distorted tetra­hedral geometry. Mol­ecular packing analysis was carried out using the packing energy portioning scheme in the program OPEC. Around each anion in the crystal structure there are eight anions, which inter­act with the central anion through C-H...[pi] inter­actions. The cations are hydrogen bonded in a head-to-tail fashion, forming chains along [10\overline{1}].

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S010827010503060X/sf1010sup1.cif
Contains datablocks I, global

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S010827010503060X/sf1010Isup2.hkl
Contains datablock I

CCDC reference: 290579

Comment top

Considerable effort has been made to investigate organic salts with large second-order optical nonlinearities (Chemla & Zyss, 1987). Marder et al. (1994) have synthesized a number of stilbazolium salts with large powder second-harmonic generation (SHG) efficiencies. According to the organic `salt methodology' principle (Marder et al., 1989, 1994), Coulombic interactions in organic salts could override dipole–dipole interactions which are favoured for antiparallel centrosymmetric packing. During our systematic search for organic non-linear optical (NLO) materials, we isolated the title compound, (I), and describe its crystal structure here.

Compound (I) consists of a 4'-cyano-4-N-methylstilbazolium cation and a BPh4 anion. In the cation, which is nearly planar and in the trans form (Fig. 1), the pyridyl ring makes a dihedral angle of 1.6° with the phenyl ring. They are rotated in the same direction with respect to the central C—CHCH—C linkage, by 3.8 and 5.3°, respectively. The anion takes a slightly distorted tetrahedral geometry. The B—C bond lengths are in the range 1.628 (6)–1.660 (6) Å, and the C—B—C bond angles are in the range 102.8 (4)–114.0 (2)° (Table 1).

The portioning scheme in the program OPEC (Gavezzotti, 1983) with largely improved parameters (Gavezzotti & Filippini, 1994) was used to analyse the packing mode for the cations and anions in the crystal structure of (I). Table 3 lists the most important C—H···π interactions (type I; Umezawa et al., 1998) in the title crystal. Table 4 lists the calculated packing energy (PE) between the fundamental molecule (FM) and its surrounding molecules (SMs) which most strongly interact with the FM. Although the absolute total PE calculated is not very accurate (about 2 kcal mol−1; 1 kcal mol−1 = 4.184 kJ mol−1; Gavezzotti & Filippini, 1994), the relative order after portioning into the contributions for individual SMs is believed to be meaningful. According to Table 4, the anion in the FM most strongly interacts with the first eight anions in the SMs, or in this sense, it is surrounded by these eight anions. When comparing the SMs in both Tables 3 and 4, one can see that the interactions between the FM and SMs, particularly the anion–anion and cation–anion interactions, are C—H···π type (type I; Umezawa et al., 1998). On the other hand, the major cation–cation interaction is the hydrogen bond (line 1 in Table 2) between the N atom in CN and the C—H on the opposite side of the cation. This is therefore in a head-to-tail mode and forms chains along [101].

The organic salt methodology principle (Marder et al., 1989) suggested that the anion–cation interaction in organic salts could override the dipole–dipole interaction, which provides a strong driving force for centrosymmetric packing in dipolar crystals. Compound (I) crystallized in the noncentrosymmetric space group Cc, belonging to point group m, one of the favourable groups for SHG, and is therefore a potential SHG crystal. However, not all similar crystals are noncentrosymmetric. A search was carried out of the Cambridge Structural Database (CSD, Version?; Allen, 2002) for stilbazolium tetraphenylborates and resulted in three crystals. In order to estimate the relative contributions of the cation–cation, anion–anion and anion–cation interactions, packing energies were calculated on these three crystals and (I) using the program OPEC. The results are listed in Table 5. Although the data are very limited and the calculated absolute total PE value is not very accurate, we could tentatively state that the non-centrosymmetric packing of the title crystal is possibly due to the much stronger anion–cation interaction.

Experimental top

1,4-Dimethylpyridinium iodide (7.05 g, 30 mmol) (prepared from CH3I and 1-methylpyridine), 4-cyanobenzaldehyde (6.42 g, 49 mmol) and piperidine (0.2 ml) in methanol (40 ml) were heated at 353 K with stirring for 8 h (Okada et al., 1990). The product was recrystallized twice from ethanol–water (2:1), dissolved in water (0.70 g in 100 ml) and treated with a saturated solution of sodium tetraphenylborate. The title compound was separated and recrystallized twice from ethanol–water (4:1). Yellow crystals of (I) (m.p. 489–490 K) were grown by slow evaporation at ambient temperature from N,N-dimethylformamide over a period of 18 d. Elemental analysis (Perkin–Elmer 240 C elemental analyzer): calculated for C15H13N2+·BPh4: C 86.67, H 6.11, N 5.19%; found: C 87.09, H 6.27, N 4.85%. Spectroscopic analysis: IR (FT–IR spectrometer with KBr pellets, ν, cm−1): 3050 (Ar—H), 2995 (–C—H), 2227 (cyano), 1644 (–CHCH–), 1627 (–CHN–), 1519 (ph), 1478 (ph), 1427 (ph), 1334 (–CH3), 1188 (–CHC—H), 1151 (–CHC—H), 1031 (Ar—H), 972 (Ar—H), 955 (Ar—H), 848 (Ar—H), 733 (Ar—H), 711 (Ar—H); 1H NMR (Bruker AV-400 NMR spectrometer, DMSO, 399.97 MHz, ambient temperature, δ, p.p.m.): 8.91 (d, 2H, pyridyl ring), 8.25 (d, 2H, pyridyl ring), 8.03 (d, 1H, –CH CH–), 7.97 (d, 2H, ph), 7.91 (d, 2H, ph), 7.32 (d, 1H, –CH CH–), 7.18 (s, 8H, ph), 6.94–6.90 (m, 8H, ph), 6.80–6.77 (m, 4H, ph), 2.50 (s, 3H, –CH3).

Refinement top

All H atoms were treated as riding using the riding model. C—H distances for Car and Csp2 were set to 0.95 Å, and for Csp3 were set to 0.98 Å. Uiso(H) = 1.2Ueq(C) for Car and Csp2, and 1.5Ueq(C) for Csp3.

Computing details top

Data collection: CrystalClear (Rigaku, 1999); cell refinement: CrystalClear; data reduction: CrystalStructure (Rigaku, 2000); program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: Please provide details; software used to prepare material for publication: Please provide details.

Figures top
[Figure 1] Fig. 1. A view of the molecular structure of the title compound, showing 30% probability displacement ellipsoids and the atom-numbering scheme. H atoms are shown as small spheres of arbitrary radii.
[Figure 2] Fig. 2. A packing diagram for (I), viewed down the b axis.
4-[2-(4-Cyanophenyl)ethenyl]-N-methylpyridinium tetraphenylborate top
Crystal data top
C15H13N2+·C24H20BF(000) = 1144
Mr = 540.48Dx = 1.198 Mg m3
Monoclinic, CcMo Kα radiation, λ = 0.71070 Å
Hall symbol: C -2ycCell parameters from 5327 reflections
a = 16.930 (3) Åθ = 3.0–25.3°
b = 10.7694 (18) ŵ = 0.07 mm1
c = 17.665 (3) ÅT = 193 K
β = 111.543 (5)°Block, yellow
V = 2995.8 (9) Å30.50 × 0.19 × 0.11 mm
Z = 4
Data collection top
Rigaku Mercury
diffractometer
2726 independent reflections
Radiation source: fine-focus sealed tube2355 reflections with I > 2σ(I)
Graphite monochromatorRint = 0.047
Detector resolution: 7.31 pixels mm-1θmax = 25.3°, θmin = 3.0°
ω scansh = 2020
Absorption correction: multi-scan
(Jacobson, 1998)
k = 1212
Tmin = 0.966, Tmax = 0.993l = 2021
14471 measured reflections
Refinement top
Refinement on F2Primary atom site location: structure-invariant direct methods
Least-squares matrix: fullSecondary atom site location: difference Fourier map
R[F2 > 2σ(F2)] = 0.051Hydrogen site location: inferred from neighbouring sites
wR(F2) = 0.121H-atom parameters constrained
S = 1.11 w = 1/[σ2(Fo2) + (0.0568P)2 + 0.9638P]
where P = (Fo2 + 2Fc2)/3
2726 reflections(Δ/σ)max < 0.001
381 parametersΔρmax = 0.15 e Å3
2 restraintsΔρmin = 0.18 e Å3
Crystal data top
C15H13N2+·C24H20BV = 2995.8 (9) Å3
Mr = 540.48Z = 4
Monoclinic, CcMo Kα radiation
a = 16.930 (3) ŵ = 0.07 mm1
b = 10.7694 (18) ÅT = 193 K
c = 17.665 (3) Å0.50 × 0.19 × 0.11 mm
β = 111.543 (5)°
Data collection top
Rigaku Mercury
diffractometer
2726 independent reflections
Absorption correction: multi-scan
(Jacobson, 1998)
2355 reflections with I > 2σ(I)
Tmin = 0.966, Tmax = 0.993Rint = 0.047
14471 measured reflections
Refinement top
R[F2 > 2σ(F2)] = 0.0512 restraints
wR(F2) = 0.121H-atom parameters constrained
S = 1.11Δρmax = 0.15 e Å3
2726 reflectionsΔρmin = 0.18 e Å3
381 parameters
Special details top

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.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
N10.4647 (2)0.4662 (3)0.2605 (2)0.0435 (9)
N20.9400 (3)0.0179 (4)0.0027 (3)0.0747 (12)
C10.4553 (3)0.3487 (4)0.2330 (3)0.0500 (12)
H10.40880.30060.23440.060*
C20.5111 (3)0.2977 (4)0.2032 (3)0.0475 (12)
H20.50310.21480.18350.057*
C30.5811 (3)0.3668 (4)0.2012 (3)0.0377 (9)
C40.5896 (3)0.4865 (4)0.2316 (3)0.0456 (11)
H40.63640.53590.23270.055*
C50.5309 (3)0.5341 (4)0.2602 (3)0.0495 (12)
H50.53720.61680.28010.059*
C60.6439 (3)0.3179 (4)0.1711 (3)0.0431 (11)
H60.69070.37030.17580.052*
C70.6425 (3)0.2070 (4)0.1377 (3)0.0415 (11)
H70.59550.15470.13220.050*
C80.7070 (3)0.1584 (4)0.1085 (3)0.0370 (9)
C90.7002 (3)0.0375 (4)0.0794 (3)0.0410 (10)
H90.65360.01240.07870.049*
C100.7594 (3)0.0112 (4)0.0516 (3)0.0448 (11)
H100.75510.09500.03360.054*
C110.8256 (3)0.0629 (4)0.0501 (3)0.0422 (10)
C120.8327 (3)0.1849 (4)0.0770 (3)0.0451 (11)
H120.87790.23570.07520.054*
C130.7734 (3)0.2319 (4)0.1063 (3)0.0423 (11)
H130.77820.31520.12510.051*
C140.4017 (3)0.5208 (5)0.2908 (3)0.0613 (14)
H14A0.41390.49350.34690.092*
H14B0.34460.49340.25620.092*
H14C0.40480.61160.28920.092*
C150.8883 (3)0.0161 (4)0.0200 (3)0.0532 (12)
C160.8483 (2)0.5763 (3)0.3257 (2)0.0292 (9)
C170.8391 (3)0.5383 (4)0.2467 (2)0.0331 (9)
H170.86630.46380.24080.040*
C180.7929 (3)0.6035 (4)0.1777 (2)0.0384 (10)
H180.78920.57390.12590.046*
C190.7517 (3)0.7123 (4)0.1835 (3)0.0440 (11)
H190.71860.75670.13600.053*
C200.7598 (3)0.7549 (4)0.2598 (3)0.0407 (10)
H200.73280.83010.26490.049*
C210.8071 (3)0.6886 (3)0.3289 (3)0.0329 (9)
H210.81180.72030.38060.040*
C220.9388 (2)0.5649 (3)0.4899 (2)0.0283 (8)
C230.9838 (3)0.6748 (3)0.4932 (2)0.0322 (9)
H230.98000.71270.44350.039*
C241.0337 (2)0.7315 (4)0.5657 (3)0.0361 (10)
H241.06390.80550.56490.043*
C251.0391 (3)0.6794 (4)0.6393 (3)0.0400 (10)
H251.07280.71760.68910.048*
C260.9949 (3)0.5709 (4)0.6395 (3)0.0378 (10)
H260.99780.53480.68950.045*
C270.9463 (2)0.5154 (3)0.5659 (2)0.0312 (9)
H270.91700.44070.56710.037*
C280.8121 (3)0.4040 (3)0.4092 (2)0.0316 (9)
C290.7566 (3)0.4509 (4)0.4453 (3)0.0369 (10)
H290.76790.53050.47010.044*
C300.6864 (3)0.3864 (4)0.4463 (3)0.0447 (11)
H300.65090.42100.47180.054*
C310.6685 (3)0.2712 (5)0.4098 (3)0.0498 (12)
H310.62080.22560.41080.060*
C320.7191 (3)0.2225 (4)0.3721 (3)0.0475 (12)
H320.70640.14340.34650.057*
C330.7899 (3)0.2894 (4)0.3713 (3)0.0401 (10)
H330.82370.25520.34380.048*
C340.9709 (3)0.4051 (3)0.3984 (2)0.0286 (9)
C350.9939 (3)0.2889 (3)0.4353 (2)0.0336 (9)
H350.95910.25240.46100.040*
C361.0645 (3)0.2251 (4)0.4361 (3)0.0436 (11)
H361.07710.14610.46170.052*
C371.1176 (3)0.2748 (4)0.4002 (3)0.0424 (11)
H371.16630.23060.40040.051*
C381.0981 (3)0.3900 (4)0.3640 (3)0.0383 (10)
H381.13390.42620.33930.046*
C391.0262 (2)0.4535 (4)0.3634 (2)0.0324 (9)
H391.01420.53280.33830.039*
B10.8930 (4)0.4878 (3)0.4058 (3)0.0287 (7)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
N10.037 (2)0.044 (2)0.049 (2)0.0032 (16)0.0149 (18)0.0100 (17)
N20.086 (3)0.059 (3)0.097 (3)0.004 (2)0.054 (3)0.021 (2)
C10.035 (3)0.048 (3)0.070 (3)0.010 (2)0.022 (2)0.016 (2)
C20.039 (3)0.035 (2)0.069 (3)0.0112 (18)0.020 (2)0.014 (2)
C30.037 (2)0.039 (2)0.038 (2)0.0072 (19)0.0147 (19)0.0018 (18)
C40.053 (3)0.042 (2)0.048 (3)0.015 (2)0.025 (2)0.007 (2)
C50.062 (3)0.038 (2)0.056 (3)0.012 (2)0.030 (3)0.011 (2)
C60.031 (2)0.052 (3)0.048 (2)0.0093 (19)0.016 (2)0.008 (2)
C70.035 (2)0.043 (2)0.046 (3)0.0116 (18)0.014 (2)0.0036 (19)
C80.031 (2)0.036 (2)0.041 (2)0.0046 (17)0.0104 (19)0.0006 (18)
C90.043 (3)0.036 (2)0.044 (2)0.0085 (19)0.016 (2)0.0051 (19)
C100.053 (3)0.035 (2)0.047 (3)0.0085 (19)0.019 (2)0.0063 (19)
C110.048 (3)0.043 (2)0.040 (2)0.000 (2)0.020 (2)0.0056 (19)
C120.042 (3)0.040 (2)0.055 (3)0.0098 (19)0.021 (2)0.009 (2)
C130.040 (3)0.036 (2)0.055 (3)0.0089 (18)0.022 (2)0.014 (2)
C140.052 (3)0.064 (3)0.077 (4)0.003 (2)0.035 (3)0.020 (3)
C150.062 (3)0.044 (3)0.059 (3)0.004 (2)0.029 (3)0.013 (2)
C160.022 (2)0.0327 (19)0.034 (2)0.0034 (16)0.0119 (18)0.0019 (16)
C170.030 (2)0.035 (2)0.033 (2)0.0029 (16)0.0103 (18)0.0013 (17)
C180.030 (2)0.055 (3)0.028 (2)0.0047 (18)0.0089 (18)0.0032 (18)
C190.031 (2)0.050 (2)0.047 (3)0.0003 (19)0.009 (2)0.022 (2)
C200.026 (2)0.042 (2)0.055 (3)0.0023 (16)0.015 (2)0.0094 (19)
C210.024 (2)0.036 (2)0.039 (2)0.0016 (16)0.0120 (18)0.0058 (17)
C220.023 (2)0.0309 (19)0.030 (2)0.0036 (16)0.0087 (17)0.0002 (16)
C230.032 (2)0.033 (2)0.034 (2)0.0009 (16)0.0149 (18)0.0005 (16)
C240.028 (2)0.033 (2)0.047 (2)0.0032 (15)0.0128 (18)0.0063 (18)
C250.027 (2)0.050 (2)0.037 (2)0.0004 (18)0.0052 (18)0.0100 (19)
C260.036 (2)0.042 (2)0.033 (2)0.0046 (17)0.0093 (18)0.0000 (17)
C270.027 (2)0.0310 (19)0.034 (2)0.0005 (15)0.0104 (18)0.0002 (16)
C280.032 (2)0.035 (2)0.027 (2)0.0046 (16)0.0100 (19)0.0019 (16)
C290.033 (2)0.043 (2)0.035 (2)0.0012 (18)0.0139 (19)0.0001 (18)
C300.027 (3)0.064 (3)0.044 (3)0.002 (2)0.014 (2)0.013 (2)
C310.035 (3)0.060 (3)0.051 (3)0.014 (2)0.011 (2)0.013 (2)
C320.040 (3)0.047 (3)0.049 (3)0.012 (2)0.009 (2)0.003 (2)
C330.041 (3)0.037 (2)0.042 (2)0.0038 (19)0.015 (2)0.0001 (19)
C340.028 (2)0.028 (2)0.027 (2)0.0032 (15)0.0075 (18)0.0045 (16)
C350.031 (2)0.035 (2)0.035 (2)0.0025 (17)0.0117 (19)0.0004 (17)
C360.044 (3)0.033 (2)0.050 (3)0.0089 (19)0.014 (2)0.0011 (19)
C370.029 (2)0.050 (3)0.045 (3)0.0048 (19)0.009 (2)0.010 (2)
C380.033 (3)0.047 (2)0.038 (2)0.0034 (18)0.016 (2)0.007 (2)
C390.027 (2)0.0328 (19)0.034 (2)0.0001 (16)0.0078 (18)0.0035 (17)
B10.0270 (15)0.0306 (18)0.0292 (15)0.000 (2)0.0111 (13)0.001 (2)
Geometric parameters (Å, º) top
N1—C51.339 (6)C20—C211.387 (6)
N1—C11.344 (6)C20—H200.9500
N1—C141.479 (6)C21—H210.9500
N2—C151.148 (6)C22—C231.397 (5)
C1—C21.355 (6)C22—C271.406 (5)
C1—H10.9500C22—B11.628 (6)
C2—C31.410 (6)C23—C241.390 (6)
C2—H20.9500C23—H230.9500
C3—C41.383 (6)C24—C251.387 (6)
C3—C61.451 (6)C24—H240.9500
C4—C51.369 (6)C25—C261.388 (6)
C4—H40.9500C25—H250.9500
C5—H50.9500C26—C271.393 (6)
C6—C71.328 (5)C26—H260.9500
C6—H60.9500C27—H270.9500
C7—C81.464 (6)C28—C331.389 (6)
C7—H70.9500C28—C291.410 (6)
C8—C131.387 (6)C28—B11.660 (6)
C8—C91.390 (6)C29—C301.382 (6)
C9—C101.373 (6)C29—H290.9500
C9—H90.9500C30—C311.380 (7)
C10—C111.384 (6)C30—H300.9500
C10—H100.9500C31—C321.369 (7)
C11—C121.387 (6)C31—H310.9500
C11—C151.443 (6)C32—C331.403 (6)
C12—C131.384 (6)C32—H320.9500
C12—H120.9500C33—H330.9500
C13—H130.9500C34—C391.397 (6)
C14—H14A0.9800C34—C351.398 (5)
C14—H14B0.9800C34—B11.635 (6)
C14—H14C0.9800C35—C361.375 (6)
C16—C171.407 (5)C35—H350.9500
C16—C211.408 (5)C36—C371.385 (7)
C16—B11.643 (6)C36—H360.9500
C17—C181.375 (6)C37—C381.379 (6)
C17—H170.9500C37—H370.9500
C18—C191.387 (6)C38—C391.394 (6)
C18—H180.9500C38—H380.9500
C19—C201.382 (7)C39—H390.9500
C19—H190.9500
C5—N1—C1120.0 (4)C20—C21—C16122.7 (4)
C5—N1—C14120.0 (4)C20—C21—H21118.6
C1—N1—C14120.0 (4)C16—C21—H21118.6
N1—C1—C2121.0 (4)C23—C22—C27115.1 (4)
N1—C1—H1119.5C23—C22—B1122.7 (3)
C2—C1—H1119.5C27—C22—B1121.6 (3)
C1—C2—C3120.5 (4)C24—C23—C22123.3 (4)
C1—C2—H2119.7C24—C23—H23118.4
C3—C2—H2119.7C22—C23—H23118.4
C4—C3—C2116.8 (4)C25—C24—C23119.6 (4)
C4—C3—C6119.6 (4)C25—C24—H24120.2
C2—C3—C6123.6 (4)C23—C24—H24120.2
C5—C4—C3120.4 (4)C24—C25—C26119.6 (4)
C5—C4—H4119.8C24—C25—H25120.2
C3—C4—H4119.8C26—C25—H25120.2
N1—C5—C4121.3 (4)C25—C26—C27119.5 (4)
N1—C5—H5119.4C25—C26—H26120.2
C4—C5—H5119.4C27—C26—H26120.2
C7—C6—C3126.3 (3)C26—C27—C22123.0 (4)
C7—C6—H6116.8C26—C27—H27118.5
C3—C6—H6116.8C22—C27—H27118.5
C6—C7—C8125.7 (3)C33—C28—C29115.4 (4)
C6—C7—H7117.2C33—C28—B1123.1 (4)
C8—C7—H7117.2C29—C28—B1121.2 (4)
C13—C8—C9118.8 (4)C30—C29—C28123.1 (4)
C13—C8—C7121.5 (4)C30—C29—H29118.5
C9—C8—C7119.6 (4)C28—C29—H29118.5
C10—C9—C8121.2 (4)C31—C30—C29119.2 (4)
C10—C9—H9119.4C31—C30—H30120.4
C8—C9—H9119.4C29—C30—H30120.4
C9—C10—C11119.3 (4)C32—C31—C30120.2 (4)
C9—C10—H10120.3C32—C31—H31119.9
C11—C10—H10120.3C30—C31—H31119.9
C10—C11—C12120.6 (4)C31—C32—C33119.8 (4)
C10—C11—C15121.1 (4)C31—C32—H32120.1
C12—C11—C15118.3 (4)C33—C32—H32120.1
C13—C12—C11119.4 (4)C28—C33—C32122.2 (4)
C13—C12—H12120.3C28—C33—H33118.9
C11—C12—H12120.3C32—C33—H33118.9
C12—C13—C8120.6 (4)C39—C34—C35115.1 (4)
C12—C13—H13119.7C39—C34—B1121.5 (3)
C8—C13—H13119.7C35—C34—B1123.0 (4)
N1—C14—H14A109.5C36—C35—C34122.9 (4)
N1—C14—H14B109.5C36—C35—H35118.5
H14A—C14—H14B109.5C34—C35—H35118.5
N1—C14—H14C109.5C35—C36—C37120.7 (4)
H14A—C14—H14C109.5C35—C36—H36119.6
H14B—C14—H14C109.5C37—C36—H36119.6
N2—C15—C11177.7 (5)C38—C37—C36118.3 (4)
C17—C16—C21114.5 (4)C38—C37—H37120.8
C17—C16—B1122.2 (3)C36—C37—H37120.8
C21—C16—B1122.8 (3)C37—C38—C39120.3 (4)
C18—C17—C16123.4 (4)C37—C38—H38119.8
C18—C17—H17118.3C39—C38—H38119.8
C16—C17—H17118.3C38—C39—C34122.6 (4)
C17—C18—C19120.3 (4)C38—C39—H39118.7
C17—C18—H18119.9C34—C39—H39118.7
C19—C18—H18119.9C22—B1—C34102.9 (4)
C20—C19—C18118.7 (4)C22—B1—C16113.8 (2)
C20—C19—H19120.6C34—B1—C16112.2 (4)
C18—C19—H19120.6C22—B1—C28111.5 (4)
C19—C20—C21120.4 (4)C34—B1—C28114.0 (2)
C19—C20—H20119.8C16—B1—C28102.8 (4)
C21—C20—H20119.8
C5—N1—C1—C21.2 (8)C33—C28—C29—C302.5 (6)
C14—N1—C1—C2178.4 (5)B1—C28—C29—C30177.1 (4)
N1—C1—C2—C30.6 (8)C28—C29—C30—C310.7 (7)
C1—C2—C3—C40.7 (7)C29—C30—C31—C320.9 (7)
C1—C2—C3—C6179.2 (5)C30—C31—C32—C330.6 (7)
C2—C3—C4—C51.5 (7)C29—C28—C33—C322.8 (6)
C6—C3—C4—C5180.0 (4)B1—C28—C33—C32177.3 (4)
C1—N1—C5—C40.4 (7)C31—C32—C33—C281.4 (7)
C14—N1—C5—C4179.1 (5)C39—C34—C35—C361.2 (6)
C3—C4—C5—N10.9 (8)B1—C34—C35—C36173.1 (4)
C4—C3—C6—C7177.4 (4)C34—C35—C36—C370.5 (7)
C2—C3—C6—C74.1 (7)C35—C36—C37—C380.4 (7)
C3—C6—C7—C8179.2 (5)C36—C37—C38—C390.5 (7)
C6—C7—C8—C136.5 (7)C37—C38—C39—C340.2 (7)
C6—C7—C8—C9176.0 (4)C35—C34—C39—C381.0 (6)
C13—C8—C9—C102.5 (7)B1—C34—C39—C38173.1 (4)
C7—C8—C9—C10180.0 (4)C23—C22—B1—C3483.1 (4)
C8—C9—C10—C112.2 (7)C27—C22—B1—C3487.2 (4)
C9—C10—C11—C120.5 (7)C23—C22—B1—C1638.6 (6)
C9—C10—C11—C15178.8 (4)C27—C22—B1—C16151.1 (3)
C10—C11—C12—C130.7 (7)C23—C22—B1—C28154.3 (3)
C15—C11—C12—C13179.9 (4)C27—C22—B1—C2835.4 (5)
C11—C12—C13—C80.4 (7)C39—C34—B1—C2284.8 (5)
C9—C8—C13—C121.2 (7)C35—C34—B1—C2286.6 (4)
C7—C8—C13—C12178.7 (4)C39—C34—B1—C1638.0 (5)
C21—C16—C17—C180.9 (6)C35—C34—B1—C16150.6 (4)
B1—C16—C17—C18171.7 (4)C39—C34—B1—C28154.3 (3)
C16—C17—C18—C190.5 (6)C35—C34—B1—C2834.3 (6)
C17—C18—C19—C201.5 (6)C17—C16—B1—C22151.5 (3)
C18—C19—C20—C211.1 (7)C21—C16—B1—C2236.5 (6)
C19—C20—C21—C160.4 (7)C17—C16—B1—C3435.1 (5)
C17—C16—C21—C201.3 (6)C21—C16—B1—C34152.9 (4)
B1—C16—C21—C20171.3 (4)C17—C16—B1—C2887.8 (4)
C27—C22—C23—C240.9 (6)C21—C16—B1—C2884.2 (4)
B1—C22—C23—C24169.9 (4)C33—C28—B1—C22146.2 (4)
C22—C23—C24—C251.1 (6)C29—C28—B1—C2239.6 (5)
C23—C24—C25—C260.3 (6)C33—C28—B1—C3430.2 (6)
C24—C25—C26—C270.5 (6)C29—C28—B1—C34155.6 (3)
C25—C26—C27—C220.7 (6)C33—C28—B1—C1691.5 (4)
C23—C22—C27—C260.1 (6)C29—C28—B1—C1682.7 (5)
B1—C22—C27—C26170.9 (4)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
C14i—H14Ai···N20.982.543.463 (7)157
C35ii—H35ii···N20.952.653.359 (8)131
Symmetry codes: (i) x+1/2, y+1/2, z1/2; (ii) x, y, z1/2.

Experimental details

Crystal data
Chemical formulaC15H13N2+·C24H20B
Mr540.48
Crystal system, space groupMonoclinic, Cc
Temperature (K)193
a, b, c (Å)16.930 (3), 10.7694 (18), 17.665 (3)
β (°) 111.543 (5)
V3)2995.8 (9)
Z4
Radiation typeMo Kα
µ (mm1)0.07
Crystal size (mm)0.50 × 0.19 × 0.11
Data collection
DiffractometerRigaku Mercury
diffractometer
Absorption correctionMulti-scan
(Jacobson, 1998)
Tmin, Tmax0.966, 0.993
No. of measured, independent and
observed [I > 2σ(I)] reflections
14471, 2726, 2355
Rint0.047
(sin θ/λ)max1)0.602
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.051, 0.121, 1.11
No. of reflections2726
No. of parameters381
No. of restraints2
H-atom treatmentH-atom parameters constrained
Δρmax, Δρmin (e Å3)0.15, 0.18

Computer programs: CrystalClear (Rigaku, 1999), CrystalClear, CrystalStructure (Rigaku, 2000), SHELXS97 (Sheldrick, 1997), SHELXL97 (Sheldrick, 1997), Please provide details.

Selected geometric parameters (Å, º) top
N1—C51.339 (6)C7—C81.464 (6)
N1—C11.344 (6)C11—C151.443 (6)
N1—C141.479 (6)C16—B11.643 (6)
N2—C151.148 (6)C22—B11.628 (6)
C3—C61.451 (6)C28—B11.660 (6)
C6—C71.328 (5)C34—B11.635 (6)
C5—N1—C1120.0 (4)C10—C11—C12120.6 (4)
C5—N1—C14120.0 (4)C10—C11—C15121.1 (4)
C1—N1—C14120.0 (4)C12—C11—C15118.3 (4)
C4—C3—C2116.8 (4)N2—C15—C11177.7 (5)
C4—C3—C6119.6 (4)C22—B1—C34102.9 (4)
C2—C3—C6123.6 (4)C22—B1—C16113.8 (2)
C7—C6—C3126.3 (3)C34—B1—C16112.2 (4)
C6—C7—C8125.7 (3)C22—B1—C28111.5 (4)
C13—C8—C9118.8 (4)C34—B1—C28114.0 (2)
C13—C8—C7121.5 (4)C16—B1—C28102.8 (4)
C9—C8—C7119.6 (4)
C4—C3—C6—C7177.4 (4)B1—C22—C23—C24169.9 (4)
C2—C3—C6—C74.1 (7)B1—C22—C27—C26170.9 (4)
C3—C6—C7—C8179.2 (5)B1—C28—C29—C30177.1 (4)
C6—C7—C8—C136.5 (7)B1—C28—C33—C32177.3 (4)
C6—C7—C8—C9176.0 (4)B1—C34—C35—C36173.1 (4)
B1—C16—C17—C18171.7 (4)B1—C34—C39—C38173.1 (4)
B1—C16—C21—C20171.3 (4)
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
C14i—H14Ai···N20.982.543.463 (7)157
C35ii—H35ii···N20.952.653.359 (8)131
Symmetry codes: (i) x+1/2, y+1/2, z1/2; (ii) x, y, z1/2.
C—H···π interactions in I (Å, °) top
CHPlaneadHPbτcMoleculed
C4H4P42.8813.3FM
C12H12P52.4620.93
C9H9P52.9112.55
C1H1P42.5316.67
C37H37P42.1323.41
C37H37P62.2730.91
C5H5P72.6023.82
C18H18P62.5130.53
C29H29P22.6617.04
C26H26P72.2720.74
C31H31P52.0924.07
C31H31P72.2729.57
C39H39P12.7915.58
(a) The planes P1 (C1–C5/N1), P2 (C8–C13), P3 (C3/C6–C8), P4 (C16–C21), P5 (C22–C27), P6 (C28–C33) and P7 (C34–C39) in the fundamental molecule (FM). The C—H group is in a particular surrounding molecule (SM), specified by the code in the last column. (b) dHP is the distance of the H atom from the plane. (c) τ is the angle formed by the vectors of C—H and the perpendicular line passing through the H atom to the plane. (d) The SMs which interact most strongly with the FM, numbered as in Table 4. The first four interactions are indicated in Fig. 2 by bold dotted lines, labelled L0–L3, respectively.
The packing energy (PE) portioning in (I) (kcal mol−1) top
MoleculeaPEbc–cca–adc–aedB···Bfsymmetry code
1-12.1-5.9-2.6-3.610.03x − 1/2,y + 1/2,z
2-12.1-5.9-2.6-3.610.03x + 1/2,y − 1/2,z
3-10.2-0.4-4.4-5.48.84x,-y + 1,z + 1/2
4-10.2-0.4-4.4-5.48.84x,-y + 1,z − 1/2
5-10.0-0.9-0.7-8.411.00x + 1/2,-y + 1/2,z + 1/2
6-10.0-0.9-0.7-8.411.00x − 1/2,-y + 1/2,z − 1/2
7-7.2-0.3-2.6-4.310.03x + 1/2,y + 1/2, z
8-7.2-0.3-2.6-4.310.03x − 1/2,y − 1/2,z
9-4.1-0.4-3.7x,-y,z + 1/2
10-4.1-0.4-3.7x,-y,z − 1/2
11-3.5-1.6-1.9x − 1/2,-y + 3/2,z − 1/2
12-3.5-1.6-1.9x + 1/2,-y + 2/3,z + 1/2
13-2.6-0.7-1.9x,y − 1,z
14-2.6-0.7-1.9x,y + 1,z
total-123.7-16.7-25.9-81.1
(a) Taking one molecule in the crystal as the fundamental molecule (FM), then all surrounding molecules (SMs) interact with the FM, each of which may correspond to a certain symmetry operator when the asymmetric unit consists of one or less than one molecule. (b) The packing energies, calculated using the program OPEC (Gavezzotti, 1983) with the improved set of parameters (Gavezzotti & Filippini, 1994). Value omitted if it is less than 1% of the total PE in the column. (c) The PE between the cation in the FM and that in the SM indicated by the symmetry code in the last column. (d) The PE between the anion in the FM and that in the SM indicated by the symmetry code in the last column. (e) The PE between the cation in the FM and the anion in the SM indicated by the symmetry code in the last column. (f) The distance between the central B atoms. Value omitted if it is greater than 11 A°.
Packing energiesa of some stilbazolium tetraphenylborates (kcal mol−1) top
CSD refcodebtotal PESpace group(a–a)%(c–a)%µcsubstituent
QOBDEQ-235.73P21/c22.6353.1615.614-N(OCH3)2
WOCRAH-257.22P21/c23.2958.4214.634-OCH3
BOQKEX-264.73Cc16.3568.5118.343,4-OCH3
I-258.74Cc20.9765.5118.854-CN
(a) Packing energies calculated using the program OPEC (Gavezzotti, 1983). (a–a)% is the percentage for the anion–anion interaction in the total PE. (c–a)% is the percentage for the cation–anion interaction in the total PE. (b) References: for QOBDEQ, Li et al. (2000a); for WOCRAH, Li et al. (2000b); for BOQKEX, Zhang et al. (1999); for (I), this study. (c) The dipole moment of the cation (Debye), calculated by the program MOPAC (Dewar et al., 1985) using the dipole moment summation method (Kurtz et al., 1990).
 

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