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Article

Crystal Engineering: Synthesis and Structural Analysis of Coordination Polymers with Wavelike Properties

Department of Chemistry and Biochemistry, Bayer School of Natural and Environmental Sciences, 600 Forbes Avenue, Duquesne University, Pittsburgh, PA 15282, USA
*
Author to whom correspondence should be addressed.
Polymers 2011, 3(4), 1662-1672; https://doi.org/10.3390/polym3041662
Submission received: 17 August 2011 / Revised: 5 September 2011 / Accepted: 27 September 2011 / Published: 7 October 2011
(This article belongs to the Special Issue Coordination Polymers)

Abstract

: Supramolecular coordination polymers with wavelike structures have been synthesized by self-assembly and their structures analyzed using the sine trigonometric function. Slow evaporation of a methylene chloride-methanol solution of a 1:1 molar mixture of [M(tmhd)2], where M = Co or Ni, and quinoxaline; a 1:2:1 molar mixture of [M(acac)2], where M = Co or Ni, 2,2,6,6-tetramethyl-3,5-heptadione and quinoxaline; or a 1:2:1 molar mixture of [Co(acac)2], dibenzoylmethane, and quinoxaline, yielded the crystalline coordination polymers. In the presence of the nitrogenous base, ligand scrambling occurs yielding the most insoluble product. The synthesis and structures of the following wavelike polymers are reported: trans-[Co(DBM)2(qox)]n·nH2O (2), trans-[Co(tmhd)2(qox)]n (3), trans-[Ni(tmhd)2(qox)]n (4), where DBM-= dibenzoylmethanate, tmhd- = 2,2,6,6-tetramethyl-3,5-heptadionate, and qox = quinoxaline. The wavelike structures are generated by intramolecular steric interactions and crystal packing forces between the chains. Some of the tert-butyl groups show a two-fold disorder. The sine function, φ = A sin 2πx/λ, where φ = distance (Ǻ) along the polymer backbone, λ = wavelength (Ǻ), A = amplitude (Ǻ), x = distance (Ǻ) along the polymer axis, provides a method to approximate and visualize the polymer structures.

Graphical Abstract

1. Introduction

Molding coordination polymers within the crystal environment to obtain structures of the desired shape is an endeavor which requires the development of synthetic methods using compounds which on reaction produce chains, where the forces directed within and between the polymer chains produce the desired structures. The research is directed toward obtaining coordination polymers with wavelike structural characteristics. In this paper, we have developed self-assembly synthetic procedures which produce crystalline coordination polymeric materials directly from solution by slow evaporation. The starting materials were selected to generate wavelike polymer chains through intramolecular steric interactions within the chain and intermolecular forces, i.e., crystal packing forces, between the chains. The structures of the wavelike polymers were determined by single-crystal X-ray diffraction and the wave characteristics analysed using the sine trigonometric function. Wavelike characteristics of some coordination polymers have been noted previously [1-12]; however, we have been unable to find any references where trigonometric functions were used to analyze the structural data. Recently, a review article has been published on one-dimensional coordination polymers [13].

The synthesis and structures of the following wavelike polymers are reported: trans-[Co(DBM)2(qox)]n·nH2O (2), trans-[Co(tmhd)2(qox)]n (3), trans-[Ni(tmhd)2(qox)]n (4), where DBM- = dibenzoylmethanate, tmhd- = 2,2,6,6-tetramethyl-3,5-heptadionate, and qox = quinoxaline. A number of recent studies have reported the synthesis of cobalt(II) and nickel(II) complexes with DBM and tmhd ligands [14-17]. [Co(tmhd)2] and [Ni(tmhd)2] are available commercially (see Experimental Section 3.1). A linear polymeric structure of the complex trans-[Co(acac)2(pz)]n has been reported [18] trans-[Co(acac)2(qox)]n, trans-[Ni(acac)2(qox)]n, and trans-[Co/Ni(acac)2(qox)]n are reported to have a zigzag polymeric chain [19].

2. Results and Discussion

2.1. Synthesis of the Polymers

The coordination polymers were synthesized by self-assembly by mixing the components in a 50 v/v% methylene chloride-methanol solution and allowing the most insoluble material, i.e., the polymer, to precipitate or crystallize from solution. Two different mixtures of starting materials were employed: the metal(II) complex, β-diketone, and dinitrogenous base or the metal(II) β-diketonate, and dinitrogenous base. In the former, the desired polymeric β-diketonate which is coordinated to the metal in the polymer chain is added in the keto form, while in the latter, the desired β-diketonate is added as the metal(II) complex. When quinoxaline is employed as the dinitrogenous base, a slightly basic solution is required for rearrangement and self-assembly to occur. With pyrazine as the dinitrogenous base, the coordination polymer precipitates from solution on mixing solutions of the starting components; whereas, with quinoxaline, crystals of the coordination polymer form on slow evaporation of the solvent. Therefore, a slow mixing procedure was adopted to grow crystals of trans-[Co(DBM)2(pz)]n (1). A solution of the metal complex, [Co(ac)2]·4H2O, in methanol and a solution of dibenzoylmethane and pyrazine in methylene chloride were slowly allowed to mix on diffusion through a glass filter as described in the Experimental Section 3.2.2.

2.2. Structures of the Polymers

The structures of four coordination polymers are reported, and the crystallographic data for these polymers are listed in Table 1. The CCDC numbers for the four structures are listed in the Experimental Section 3.5. All of the complexes form one-dimensional polymer chains; however, one polymer is linear whereas the other three have wavelike characteristics.

Pyrazine, a dinitrogenous base, produces linear polymer structures with cobalt(II) with both acac- and DBM- ligands: trans-[Co(acac)2(pz)]n [17] and trans-[Co(DBM)2(pz)]n (1). The polymeric structure of 1 is shown in Figure 1. The structure of 1 differs from the structure of trans-[Co(acac)2(pz)]n in that the crystal packing is different, C2/c vs. P1̄, and there are no centers of symmetry along the polymer chain of 1. These cobalt(II) complexes exhibit long Co-N bonds, 2.203-2.227 Ǻ, as a result of Jahn-Teller distortion.

When the dinitrogenous base quinoxaline, is employed, the resulting polymer is no longer linear as a result of the asymmetrical intramolecular and interchain forces. When the P-diketonate is acac a zigzag chain structure is observed for trans-[Co(acac)2(qox)]n [19]; however, when the β-diketonate is DBM, a wavelike chain structure is observed for trans-[Co(DBM)2(qox)]n·nH2O (2), see Figures 2 and 3. The X-ray data for 2 was collected at 110 K to enhance the structural refinement. The spatial requirements of the phenyl groups in the DBM- ligands compared to the methyl groups in the acac- ligands may result in the differences in the chain structures The Co-N bonds, 2.250–2.285 Ǻ, are slightly longer in the quinoxaline complexes as compared to the pyrazine complexes. The structure of 2 contains disordered interstitial water molecules of 0.5 occupancies; the hydrogen atoms on the water molecules were not located.

Both of the coordination polymer chains in trans-[Co(tmhd)2(qox)]n (3) and trans-[Ni(tmhd)2(qox)]n (4) also exhibit wavelike characteristics, see Figures 47. The Co-N bond lengths, 2.201–2.223 Ǻ in 3 are similar to the distances reported above for the cobalt(II)-pyrazine complexes. In the nickel(II) complex, 4, the Ni-N bonds, 2.173 Ǻ, are shorter than the Co-N bonds in 3.

Some of the tert-butyl groups in 3 and 4 show a two-fold disorder. The tert-butyl groups are designated by the numbers of the central carbon atoms (see Figures 4 and 6). All other atoms in a tert-butyl group have the same number in the ten digits. In 3, only one of the tert-butyl groups, C80, in the asymmetric unit shows significant disorder, major position 56%, minor position 44% (see Figure 4). In 4, five of the six tert-butyl groups in the asymmetric unit show significant two-fold disorder (see Figure 6 and Table 2). A separate variable was used to model the disorder of each group.

2.3. Structural Analysis and Trigonometric Functions

When analyzing the structures of wavelike polymers, trigonometric functions are useful since they introduce the variables of wavelength and amplitude which aid in visualizing the characteristics of the polymer chain. We have used the sine function, φ = A sin 2πx/λ, where (φ = distance (Ǻ) along the polymer backbone, λ = wavelength (Ǻ), A = amplitude (Ǻ), x = distance (Ǻ) along the polymer axis, to determine these variables for the coordination polymers 2, 3, and 4 described in Section 2.2. The wavelength, repeating units per wavelength and amplitude for these polymers are given in Table 3.

Polymer 2 crystallizes in the triclinic space group, P1̄, which allows only i symmetry elements. The polymer chain is constructed from the asymmetric unit shown in Figure 2 to form the chain pictured in Figure 3 with each wave node occurring at a special position, i.e., a center of symmetry, which lies on Co1 and Co3. Each center of symmetry in Figure 2 represents one-half of a cobalt atom yielding two cobalt atoms per asymmetric unit. Two asymmetric units represent one polymer wavelength which contains four cobalt atoms. The amplitude of the wave, which cannot be calculated directly from the data, was estimated graphically.

Polymers 3 and 4 crystallize in the orthorhombic space group Pccn, with the polymer chains lying along the a axes. The asymmetric unit in each case has a center of symmetry at one end and a horizontal plane of symmetry, perpendicular to the a axis, at the other end, see Figures 4 and 6. Again, each wave node represents a center of symmetry, i.e., Co2 or Ni2, and a horizontal plane of symmetry bisects one of the quinoxaline ligands bonded to Co1 or Ni1. Reflection of the asymmetric unit in the mirror plane doubles the number of metal centers to three producing centers of symmetry at each end of the larger unit. Inversion of this unit through a center of symmetry generates one wavelength consisting of six metal centers.

3. Experimental Section

3.1. Starting Materials

The solvents, methanol and methylene chloride, were obtained from commercial sources and used without further purification. The sources of the chemicals are as indicated: cobalt(II) acetylacetonate ([Co(acac)2]) and dibenzoylmethane (DBMH) from TCI America; cobalt(II) acetate 4-hydrate ([Co(ac)2]·4H2O), nickel(II) bis(2,2,6,6-tetramethyl-3,5-heptanedionate) ([Ni(tmhd)2]), 2,2,6,6-tetramethyl-3,5-heptanedione (tmhdH), and pyrazine (pz) from Aldrich; nickel(II) acetylacetonate ([Ni(acac)2]), quinoxaline (qox), and cobalt(II) bis(2,2,6,6-tetramethyl-3,5-heptanedionate) ([Co(tmhd)2]) from Alfa Aesar.

3.2. Syntheses and Crystallization Procedures

3.2.1. trans-[Co(DBM)2(pz)]n (1) Powder

[Co(ac)2]·4H2O, 0.25 g (1.00 mmol), was dissolved in 25 mL of methanol by heating on a steam bath yielding a magenta solution. DBMH, 0.45 g (2.00 mmol) and pyrazine, 0.08 g (1.00 mmol), were dissolved in 25 mL of methylene chloride by heating on a steam bath resulting in a light orange solution. On mixing the above solutions, an orange precipitate formed. The precipitate was filtered and allowed to air dry. The orange powder 1, 0.45 g, represents a 76% yield. Anal. Calcd. for C34H26CoN2O4: C, 69.74; H, 4.47%. Found: C, 69.43; H, 4.74%.

3.2.2. trans-[Co(DBM)2(pz)]n (1) Crystals

[Co(ac)2]·4H2O, 0.25 g (1.00 mmol), was dissolved in 25 mL of methanol by heating on a steam bath yielding a magenta solution. DBMH, 0.45 g (2.00 mmol), and pyrazine, 0.08 g (1.00 mmol), were dissolved in 25 mL of methylene chloride by heating on a steam bath resulting in a light orange solution. The methanol solution was placed in a filter crucible, 30 mL–30 M, in a 150 mL beaker, and the methylene chloride solution was placed in the beaker. The levels were adjusted by adding solvent. A bent, open-ended melting point tube was inserted under the filter crucible to allow the air to vent. The beaker was then placed in a closed glass jar. After 11 days, red crystals of 1, 0.44 g, a 75 % yield, formed, in the bottom of the beaker. IR (cm−1): 3,056 vw, 2,170 vw, 1,590 s, 1,544 s, 1,516 m, 1,480 m, 1,453 m, 1,402 s, 1,303 vw, 1,228 m, 1,179 w, 1,153 w, 1127 w, 1070 w, 1024 m, 939 m, 854 vw, 809 sh, 763 m, 725 s, 700 s, 621 s, 533 m.

3.2.3. trans-[Co(DBM)2(qox)]n·nH2O (2)

[Co(acac)2], 0.43 g (1.67 mmol), was dissolved in 25 mL of methylene chloride by heating on a steam bath yielding a dark red solution. On addition of 0.75 g (3.34 mmol) of DBMH, the solution turned orange and a precipitate formed. Quinoxaline, 0.43 g (3.34 mmol), dissolved in 25 mL of methanol was added to the solution. On addition, the precipitate dissolved and the color changed to a dark red. This solution was allowed to slowly evaporate. After five days, red crystals had formed. After filtering and air drying, 0.70 g of crystals of 2 was obtained, a 73% yield. Anal. Calcd. for C38H60CoN2O5; C, 69.78; H, 4.62%. Found: C, 69.42; H, 4.79%. IR (cm−1): 3,059 w, 1,748 w, 1,592 m, 1,542 s, 1,516 m, 1,476 s, 1,455 w, 1,402 w, 1,307 w, 1,287 w, 1,225 w, 1,179 w, 1,157 m, 1,145 m, 1,047 s, 1,023 m, 1,000 s, 962 m, 937 m, 867 m, 808 m, 784 s, 757 m, 717 m, 683 m, 623 s, 528 m, 452 m.

3.2.4. trans-[Co(tmhd)2(qox)]n (3)

[Co(tmhd)2], 0.21 g (0.68 mmol), was dissolved in 25 mL of methylene chloride yielding a red solution. On addition of 0.09 g (0.68 mmol) of quinoxaline, dissolved in 25 mL of methanol, the solution turned orange. The solution was allowed to slowly evaporate. After 12 days, red crystals had formed in the bottom of the flask. After filtering and air drying, 0.11 g of crystals of 3 was obtained, a 29% yield. Anal. Calcd. for C30H44CoN2O4: C, 64.85; H, 7.98%. Found: C, 64.68; H, 7.82%. IR (cm−1): 3,059 w, 1,748 w, 1,592 m, 1,542 s, 1,516 m, 1,476 s, 1,455 w, 1,402 w, 1,307 w, 1,287 w, 1,225 w, 1,179 w, 1,157 m, 1,145 m, 1,047 s, 1,023 m, 1,000 s, 963 m, 937 m, 867 m, 808 m, 784 s, 757 m, 717 m, 683 m, 623 s, 528 m, 452 m.

Crystals of polymer 3 also can be prepared by the slow evaporation of a 50 v/v% methylene chloride-methanol solution of a 1:2:1 molar mixture of [Co(acac)2], tmhdH, and quinoxaline.

3.2.5. trans-[Ni(tmhd)2(qox)]n (4)

[Ni(tmhd)2], 0.43 g (1.01 mmol), was dissolved in 25 mL of methylene chloride yielding a pale green solution. On addition of 0.09 g (0.68 mmol) of quinoxaline, dissolved in 25 mL of methanol, the solution turned bright green. The solution was allowed to slowly evaporate. After 8 days, green crystals had formed in the bottom of the flask. After filtering and air drying, 0.26 g of crystals of 4 was obtained, a 69% yield. Anal. Calcd. for C30H44N2NiO4: C, 64.85; H, 7.98%. Found: C, 64.68; H, 7.82%. IR (cm−1): 2,959 w, 2,864 w, 1,570 m, 1,504 m, 1,488 m, 1,359 m, 1,286 w, 1,246 m, 1,219 m, 1,183 s, 1,138 s, 1,054 w, 1,021 w, 967 m, 935 w, 823 m, 743 s, 617 w, 484 m.

Crystals of polymer 4 also can be prepared by the slow evaporation of a 50 v/v% methylene chloride-methanol solution of a 1:2:1 molar mixture of [Ni(acac)2], tmhdH, and quinoxaline.

3.3. Elemental Analyses

Elemental Analyses were performed by H. Malissa and G. Reuter GmbH at the Analytische Laboratorien, Industriepark Kaiserau, (Haus Heidbruch), D-51789 Lindlar, Germany.

3.4. Measurements

Infrared spectra were determined on a NEXUS 470 FT-IR or a Perkin Elmer Spectrum 100 FT-IR.

3.5. Structure Determination

Crystals of 14 were selected for structure determinations by X-ray diffraction procedures. Data collections were obtained on a Bruker Smart Apex-II CCD diffractometer using graphite-monochromic MoKa radiation (λ = 0.71073 Ǻ). Collection of full data sets using Φ and ω scan modes were carried out over the 2θ range of 2–58°. Data were collected at ambient temperature (296 K) except for 2 which was collected at 110 K. The structure 1 was solved by the Patterson method and structures 2, 3, and 4 by the direct method (SHELXS-97). The structures were refined by the full-matrix least squares method (SHELXL-97). Non-hydrogen atoms were refined anisotropically and hydrogen atoms were located and refined isotropically. In 2, the hydrogen atoms on the disordered water molecules with 0.5 occupancies were not located. The data on crystals 14 are listed in Table 1. Additional structural data in CIF format is available from the Cambridge Structural Database; see CCDC reference numbers 828910–828914.

4. Conclusions

Through crystal engineering, crystalline coordination polymers with chains possessing wavelike characteristics have been synthesized by self-assembly by slow evaporation of a 50 v/v% methylene chloride-methanol solution containing a metal(II) complex, a β-diketone, and a dinitrogenous base or a metal(II) β-diketonate and a dinitrogenous base, where the metal is cobalt or nickel. The wavelike characteristics of the polymer chains are produced by controlling the intra- and inter-chain steric forces.

Trigonometric functions are important tools for analyzing and visualizing the structures of the crystalline polymers where the repeating units resemble a waveform. As demonstrated above, the sine function is useful in analyzing the structures of polymer chains which have the characteristics of a sine wave. This analysis aids in the understanding of how the polymer chains are constructed from the asymmetric units. By combining trigonometric functions one would expect that more complex structures with repeating polymer units which resemble waveforms could be quantified and better visualized.

Figure 1. Ball-and-stick model of trans-[Co(DBM)2(pz)]n (1) showing a portion of the polymer chain. The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Figure 1. Ball-and-stick model of trans-[Co(DBM)2(pz)]n (1) showing a portion of the polymer chain. The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Polymers 03 01662f1 1024
Figure 2. Ball-and-stick model of trans-[Co(DBM)2(qox)]n·nH2O (2), showing the asymmetric unit. Co1 and Co3 are located at i symmetry positions, i.e., nodes, on the wavelike polymer chain. The disordered interstitial water molecules have occupancies of 0.5. The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Figure 2. Ball-and-stick model of trans-[Co(DBM)2(qox)]n·nH2O (2), showing the asymmetric unit. Co1 and Co3 are located at i symmetry positions, i.e., nodes, on the wavelike polymer chain. The disordered interstitial water molecules have occupancies of 0.5. The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Polymers 03 01662f2 1024
Figure 3. Ball-and-stick model of a portion of the wavelike chain of 2 showing the repeating arrangement of Co atoms in the chain. The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Figure 3. Ball-and-stick model of a portion of the wavelike chain of 2 showing the repeating arrangement of Co atoms in the chain. The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Polymers 03 01662f3 1024
Figure 4. Ball-and-stick model of trans-[Co(tmhd)2(qox)]n (3), showing the asymmetric unit. A plane of symmetry bisects a quinoxaline molecule on Co1, and an i symmetry element lies on Co2. The C80 tert-butyl group shows a two-fold disorder. The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Figure 4. Ball-and-stick model of trans-[Co(tmhd)2(qox)]n (3), showing the asymmetric unit. A plane of symmetry bisects a quinoxaline molecule on Co1, and an i symmetry element lies on Co2. The C80 tert-butyl group shows a two-fold disorder. The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Polymers 03 01662f4 1024
Figure 5. Ball-and-stick model showing a portion of the wavelike polymer chain of trans-[Co(tmhd)2(qox)]n (3). The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Figure 5. Ball-and-stick model showing a portion of the wavelike polymer chain of trans-[Co(tmhd)2(qox)]n (3). The hydrogen atoms are not included for clarity (C, gray; Co, blue; N, purple; O, red).
Polymers 03 01662f5 1024
Figure 6. Ball-and-stick model of trans-[Ni(tmhd)2(qox)]n (4), showing the asymmetric unit. A plane of symmetry bisects a quinoxaline molecule on Ni1 and an i symmetry element lies on Ni2. All but one tert-butyl groups, designated by the central carbon atoms, show two-fold disorder, see Table 2. The hydrogen atoms are not included for clarity (C, gray; Ni, green; N, purple; O, red).
Figure 6. Ball-and-stick model of trans-[Ni(tmhd)2(qox)]n (4), showing the asymmetric unit. A plane of symmetry bisects a quinoxaline molecule on Ni1 and an i symmetry element lies on Ni2. All but one tert-butyl groups, designated by the central carbon atoms, show two-fold disorder, see Table 2. The hydrogen atoms are not included for clarity (C, gray; Ni, green; N, purple; O, red).
Polymers 03 01662f6 1024
Figure 7. Ball-and-stick model showing a portion of the wavelike polymer chain of trans-[Ni(tmhd)2(qox)]n (4). The hydrogen atoms are not included for clarity (C, gray; Ni, green; N, purple; O, red).
Figure 7. Ball-and-stick model showing a portion of the wavelike polymer chain of trans-[Ni(tmhd)2(qox)]n (4). The hydrogen atoms are not included for clarity (C, gray; Ni, green; N, purple; O, red).
Polymers 03 01662f7 1024
Table 1. Crystallographic data collection and refinement results for structures 14.
Table 1. Crystallographic data collection and refinement results for structures 14.
1234
formulaC34H26CoN2O4C76H60Co2N4O10C90H132Co3N6O12C90H132Ni3N6O12
formula weight585.501,307.931,666.811,666.15
temperature (K)296(2)110(2)296(2)296(2)
crystal systemmonoclinictriclinicorthorhombicorthorhombic
space groupC2/cP1̄PccnPccn
a (Ǻ)20.752(3)14.7059(3)40.1388(4)39.458(4)
b (Ǻ)7.2117(10)15.0161(3)12.82360(10)12.8326(19)
c (Ǻ)19.973(3)15.8680(3)20.1409(2)20.136(2)
α (deg)90.0111.0740(10)90.090.0
β (deg)93.486(2)93.8310(10)90.090.0
γ (deg)90.099.7510(10)90.090.0
V (Ǻ3)2983.7(7)3191.23(11)10369.19(17)10195.9(19)
Z4244
ρcalcd. (Mg/m−3)1.3031.3561.0681.085
R1 [I >2σ(I)]0.04940.04810.05630.0426
wR2 [I >2σ(I)]0.13880.13250.16070.1286
Table 2. Extent of the two-fold disorder of the tert-butyl groups in trans-[Ni(tmhd)2(qox)]n.
Table 2. Extent of the two-fold disorder of the tert-butyl groups in trans-[Ni(tmhd)2(qox)]n.
tert-Butyl GroupMajor Position %Minor Position %
C301000
C405743
C505248
C606238
C705842
C806733
Table 3. Wavelengths, amplitudes, and repeating units per wavelength for the polymer chains.
Table 3. Wavelengths, amplitudes, and repeating units per wavelength for the polymer chains.
Polymerλ/(Ǻ)A/(Ǻ) est.Polymer Units/λ
trans-[Co(DBM)2(qox)]n·nH2O (2),28.661.74
trans-[Co(tmhd)2(qox)]n (3)42.122.46
trans-[Ni(tmhd)2(qox)]n (4)41.482.76

Acknowledgments

Sincere appreciation to the Camille and Henry Dreyfus Senior Scientist Mentoring Program, the National Science Foundation (CRIF 0234872 and REU CHE-0354052), Jennifer Aitken, and the Instrument Shop (Dan Bodner, Dave Hardesty, and Lance Crosby) for their assistance.

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MDPI and ACS Style

Steward, O.W.; Kaltenbach, M.V.; Biernesser, A.B.; Taylor, M.J.; Hovan, K.J.; VerPlank, J.J.S.; Haamid, A.; Karpov, I.; Munie, M.T. Crystal Engineering: Synthesis and Structural Analysis of Coordination Polymers with Wavelike Properties. Polymers 2011, 3, 1662-1672. https://doi.org/10.3390/polym3041662

AMA Style

Steward OW, Kaltenbach MV, Biernesser AB, Taylor MJ, Hovan KJ, VerPlank JJS, Haamid A, Karpov I, Munie MT. Crystal Engineering: Synthesis and Structural Analysis of Coordination Polymers with Wavelike Properties. Polymers. 2011; 3(4):1662-1672. https://doi.org/10.3390/polym3041662

Chicago/Turabian Style

Steward, Omar W., Miles V. Kaltenbach, Ashley B. Biernesser, Matthew J. Taylor, Katie J. Hovan, Jordan J. S. VerPlank, Ameera Haamid, Irina Karpov, and Matasebia T. Munie. 2011. "Crystal Engineering: Synthesis and Structural Analysis of Coordination Polymers with Wavelike Properties" Polymers 3, no. 4: 1662-1672. https://doi.org/10.3390/polym3041662

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