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Hydrolysis of 8-(pinacolboranyl)quinoline: where is the 8-quinolylboronic acid?

  • Jung-Ho Son , Sem Raj Tamang , Jason C. Yarbrough and James D. Hoefelmeyer EMAIL logo
Published/Copyright: September 24, 2015
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Abstract

The compound 8-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-quinoline was prepared and found to hydrolyze rapidly in air; however, the expected product (quinolin-8-yl)boronic acid was not observed. Instead, the (quinolinium-8-yl)trihydroxyborate zwitterion or an anhydride were observed depending on the conditions of hydrolysis. The two products are related to one another in the degree of hydration, and the two forms could be interconverted. Both hydrolysis products were structurally characterized. Additionally, a commercial sample of ‘8-quinolylboronic acid’ was actually found to be the anhydride. The results call into question whether monomeric (quinolin-8-yl)boronic acid can actually be isolated in the neutral Lewis base-free form.

1 Introduction

Boronic acids have the general formula RB(OH)2, however analysis of their structural and physical properties can be complicated. Boronic acids can undergo dehydration to form cyclic trimeric boroxines or polymeric anhydrides. In water, soluble anionic boronates form with typical pKa values in the range 8~10. While isolation and characterization of boronic acids can be complicated due to reversible reactions with water, the isolation of boronic esters tends to be straightforward [1]. In particular, addition of 1,2-diols to boronic acids generally leads to high yields of the boronic esters. This reaction has been widely used to couple sugars as a basis for specific binding and detection [2].

Circa 1960, Letsinger and co-workers investigated 8-quinolylboronic acid as a potential bifunctional catalyst [3–5]. It was found that 8-quinolylboronic acid had an unusual influence on the hydrolysis of 2- and 3-chloroalcohols. The mechanism of hydrolysis was esterification of the boronic acid with the chloroalcohol, hydrogen bonding of water to the quinoline nitrogen base, and finally nucleophilic substitution to eliminate chloride. The preorganized geometry of the bifunctional catalyst was the essential feature that contributed to the enhanced reactivity toward chloroalcohols. More recently, the luminescence properties of 8-quinolylboronic acid for carbohydrate sensing have been studied [6–8].

Simultaneously inspired by the work with 8-quinolylboronic acid and recent developments in frustrated Lewis pair chemistry [9–11], and as part of our ongoing efforts to study pre-organized frustrated Lewis pairs [12–14], we embarked to prepare 8-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-quinoline (1). In this report, we show that 1 is readily hydrolyzed to the zwitterionic (quinolinium-8-yl)trihydroxyborate (2) or a dimeric anhydride 8,16-dihydroxy-8,16-epoxy[1,5,2,6]diazadiborocino[1,8,7-ij:5,4,3-i′j′]diquinoline (3), depending on the reaction conditions (Scheme 1). We show that it is possible to interconvert between compounds 2 and 3; however, we were not able to isolate (quinolin-8-yl)boronic acid. We present structural characterization of the protonated boronic ester (1-H+) as its ClO4 salt, the zwitterion (2), and the dimeric anhydride (3).

Scheme 1: Structurally characterized products of the hydrolysis of 8-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-quinoline (1).
Scheme 1:

Structurally characterized products of the hydrolysis of 8-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-quinoline (1).

2 Experimental

General. Solvents were obtained from commercial sources. THF and CDCl3 were dried over CaH2 and distilled prior to use. Acetonitrile, hexanes, and dichloromethane were dried in a PureSolv solvent dryer. Acetone and [D6]DMSO were dried and stored over molecular sieves. All reagents were purchased from commercial sources and used without further purification. 8-Iodoquinoline was prepared according to the literature [12]. All 1H and 13C NMR spectra were recorded using a Varian 200 MHz NMR spectrometer. Chemical shifts δ are given in ppm, coupling constants J are in Hz.

Safety notes: Experimental procedures involve the use ofpyrophoric agentsand the use offluoride sources.Perchloratesare potentially explosive.

2.1 Synthesis of 8-(4,4,5,5-tetramethyl-1, 3,2-dioxaborolan-2-yl)-quinoline (1)

The synthesis was performed in a dry nitrogen atmosphere using Schlenk techniques. In a 250 mL roundbottom flask fitted with magnetic stirbar, 8-iodoquinoline (5.0 g, 20 mmol) was dissolved in 50 mL THF and cooled to –78 °C. A solution of n-butyllithium (1.6 m in hexanes, 13 mL, 21 mmol) was added, and the mixture was kept at –78 °C for 1 h. A solution of pinacolisopropoxyborate (3.65 g, 19.6 mmol) in 20 mL THF was added with a cannula, and the flask was allowed to slowly reach room temperature in the bath over the course of ~16 h. The mixture was then recooled to –78 °C, and BF3·OEt2 (2.5 mL, 20 mmol) was added via cannula. The mixture was stirred and allowed to warm to room temperature, and then passed through a filter frit. A dull yellow ochre powder was collected. The powder was washed with CH2Cl2 and a light yellow powder remained. Yield 4.41 g (88%). – 1H NMR (200.1 MHz, CD3CN): δH=1.42 (12H, s, pinacol CH3), 7.60 (1H, dd, J=8.4 and 4.4 Hz), 7.71 (1H, dd, J=8.2 and 7.2 Hz), 8.15 (1H, dd, J=8.2 and 1.6 Hz), 8.35, (1H, dd, J=7.0 and 1.6 Hz), 8.48 (1H, dd, J=8.1 and 1.9 Hz), 8.90 (1H, dd, J=4.4 and 1.8 Hz). – 13C NMR (50.3 MHz, CD3CN): δC=24.8 (CH3), 86.5 (OC), 122.5, 127.7, 129.2, 133.7, 140.3, 141.2, 151.5.

2.2 Synthesis of (quinolinium-8-yl) trihydroxyborate (2)

A solution of 1 dissolved in acetone was allowed to stand in air until the solvent evaporated. The remaining colorless crystals were washed with hexanes. M. p. 252–254 °C. – 1H NMR (200.1 MHz, [D6]DMSO): δH=3.33 (br s, NH), 7.83 (1H, t, J=7.7 Hz, C(6)H), 8.02 (1H, dd, J=8.4 and 5.6 Hz, C(3)H), 8.10 (1H, dd, J=6.8 and 1.4 Hz, C(7)H), 8.17 (1H, dd, J=8.4 and 1.6 Hz, C(5)H), 9.13–9.21 (2H, m, C(4)H and C(2)H), 14.24 (br s, OH). – 13C NMR (50.3 MHz, [D6]DMSO): δC=120.7 (C3), 127.1 (C5), 128.7 (C10), 129.3 (C6), 137.7 (C7), 139.7 (C9), 144.8 (C4), 147.7 (C2). — 11B NMR (64.1 MHz, [D6]DMSO): δB=7.7.

2.3 Synthesis of 8,16-dihydroxy-8,16-epoxy[1,5,2,6]diazadiborocino [1,8,7-ij:5,4,3-i′j′]diquinoline (3)

The synthesis of 3·H2O has been reported previously [12, 15]. A solution of 1 (100 mg, 0.4 mmol) in 3 mL acetonitrile was prepared and kept in a capped vial in ambient conditions. The vial cap was slightly unscrewed to allow slow introduction of air to the solution. After a few weeks, prismatic crystals suitable for single crystal X-ray diffraction had formed.

Conversion of3to2: In a polypropylene tube, KHF2 (0.18 g, 2.3 mmol) was dissolved in 5 mL of water. In a separate polypropylene bottle, 3 (100 mg, 0.3 mmol) was suspended in 5 mL THF, and then the KHF2 solution was added. The mixture was heated to 60 °C and stirred for ~16 h. The contents were allowed to cool to room temperature, filtered and washed with deionized water, then allowed to dry in air. The solid was confirmed to be 2 according to its NMR spectrum.

Conversion of2to3: In a 20 mL vial, 2 (100 mg, 0.4 mmol) was dissolved in 1 mL concentrated HCl solution and diluted to 5 mL. The solution was neutralized with NaHCO3. Upon standing for a few days, tiny needle crystals formed. The crystals were collected by filtration, washed with deionized water, and allowed to dry in air. The crystals were confirmed to be 3 according to their NMR spectrum.

2.4 Crystal structure determinations

The crystallographic measurements were performed using a Bruker smart Apex II diffractometer with a CCD area detector using MoKα radiation (λ=0.71069 Å). Single crystals were mounted onto glass fibers with epoxy resin. The structures were solved by Direct Methods, which successfully located most of the non-hydrogen atoms. Subsequent refinements on F2 using the Shelxtl/PC package (version 5.1) allowed location of the remaining non-hydrogen atoms [16]. Multiscan absorption correction was applied [17] Crystallographic parameters are summarized in Table 1.

Table 1

Crystallographic data for 1-H+, 2, and 3.

[1-H+][ClO4]·1/2CH2Cl223
FormulaC31H40B2Cl4N2O12C9H10BNO3C18H14B2N2O3
Formula weight796.07190.99327.93
Crystal systemTriclinicMonoclinicMonoclinic
Space groupPP21/cP21/c
ColorPale yellowColorlessColorless
T, K100(2)101(2)100(2)
a, Å9.704(2)7.1541(6)12.0306(17)
b, Å12.324(3)15.8451(14)9.5938(13)
c, Å17.128(4)7.9323(7)12.5493(17)
α, deg96.068(2)9090
β, deg105.304(2)114.860(1)97.466(2)
γ, deg111.214(2)9090
V, Å31795.0(6)815.86(12)1436.2(3)
Z244
ρcalcd, g cm–31.4731.5551.517
μ., mm–10.3940.1140.102
F(000), e828400680
Crystal size, mm30.57×0.46×0.380.47×0.34×0.260.56×0.34×0.29
θ range, deg1.82–24.892.57–25.451.71–25.36
hkl range–11→10, ±14, ±20±8, ±19, ±9±14, ±11, ±15
Refl. total/unique /Rint16216/6061/0.0348091/1515/0.02013551/2630/0.052
Data/restr./ref. param.6061/0/4711515/0/1352630/0/228
GOF on F21.0461.0741.100
R1/wR2 [I > 2σ(I)]0.091/0.25260.0548/0.15490.0546/0.1363
R1/wR2 (all data)0.1179/0.28040.0593/0.15970.0955/0.1625
Δρfin (max/min), e Å–31.483/–1.4770.391/–0.7140.367/–0.599

CCDC 1048948 (1-H+), 1048950 (2), and 1048949 (3) contain the supplementary crystallographic data for this paper. These data can be obtained free of charge from The Cambridge Crystallographic Data Centre viawww.ccdc.cam.ac.uk/data_request/cif.

3 Results and discussion

8-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-quinoline (1) was synthesized by lithiation of 8-iodoquinoline followed by addition of 2-isopropoxy-4,4,5,5-tetramethyl-1,3,2-dioxaborolane (i-PrOBpin), and further treatment with BF3·OEt2 in order to remove lithium isopropoxide by-product (Scheme 2) [18]. Recrystallization from acetonitrile or THF yielded microcrystalline powders not suitable for single crystal diffraction experiments. However, the compound could be isolated in its protonated form (1-H+) as a perchlorate salt (Table 1).

Scheme 2: Synthesis of 8-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-quinoline (1).
Scheme 2:

Synthesis of 8-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-quinoline (1).

The crystal structure of 1-H+ as its perchlorate salt (Fig. 1) included two 8-(4,4,5,5-tetramethyl-1,3,2-dioxaborolan-2-yl)-quinolinium cations, two perchlorate anions, and one molecule of CH2Cl2 in the asymmetric unit, giving a formula of [1-H+][ClO4] ·1/2CH2Cl2. In the 1-H+ cations, the pinacolboryl rings are only slightly out of plane with the quinolinium ring. This geometry appears to be enforced by a hydrogen bond between the quinolinium proton and an oxygen atom of the dioxaborolane ring (H1···O2 2.080 Å, H1AA···O4 2.000 Å). The three-coordinate boron atoms in the cations are distorted trigonal planar. The planar aromatic cations are engaged in π stacking about an inversion center in the crystal. The π stacking is evidenced by a short B1···C5 contact of 3.595 Å and a contact C7···C9 of 3.447 Å.

Fig. 1: Structure of [1-H+][ClO4–]·1/2CH2Cl2 in the crystal with hydrogen atoms and solvent molecules omitted for clarity. A cation and its nearest anion are shown on the left. The right figure shows π stacking between cations with an inversion center between them. Displacement ellipsoids are shown at the 50% probability level, H atoms as spheres with arbitrary radii. Selected bond distances (Å) and angles (deg): B(1)–C(8) 1.557(8), B(1)–O(1) 1.338(7), B(1)–O(2) 1.354(7), H(1)···O(2) 2.080, H(1)···O(9) 2.116, B(1)···C(5) 3.595, C(7)···C(9) 3.447; C(7)–C(8)–B(1) 120.2(5), C(9)–C(8)–B(1) 122.4(5), C(7)–C(8)–C(9) 117.4(5).
Fig. 1:

Structure of [1-H+][ClO4]·1/2CH2Cl2 in the crystal with hydrogen atoms and solvent molecules omitted for clarity. A cation and its nearest anion are shown on the left. The right figure shows π stacking between cations with an inversion center between them. Displacement ellipsoids are shown at the 50% probability level, H atoms as spheres with arbitrary radii. Selected bond distances (Å) and angles (deg): B(1)–C(8) 1.557(8), B(1)–O(1) 1.338(7), B(1)–O(2) 1.354(7), H(1)···O(2) 2.080, H(1)···O(9) 2.116, B(1)···C(5) 3.595, C(7)···C(9) 3.447; C(7)–C(8)–B(1) 120.2(5), C(9)–C(8)–B(1) 122.4(5), C(7)–C(8)–C(9) 117.4(5).

It has been noted that (quinolin-8-yl)pinacolborane derivatives are readily hydrolyzed to boronic acids [18, 19]. As remarked above, compound 1 is hydrolyzed quite easily; however, we did not observe the neutral boronic acid. Evaporation of a solution of 1 in acetone in air led to crystals of (quinolinium-8-yl)trihydroxyborate (2) in quantitative yield. Compound 2 is poorly soluble in most solvents, except DMSO. The 1H NMR in DMSO shows two broad singlets at δ=3.3 and 14.2 ppm for B–OH and N–H, respectively. In the crystal, multiple types of intermolecular interactions occur (Fig. 2). In addition to electrostatic forces, intermolecular hydrogen bonding and strong π stacking interactions are evident in the crystal. Intermolecular hydrogen bonding interactions were found between the iminium N–H proton and the hydroxyl groups bound to boron and between the hydroxyl groups. Strong π stacking interactions were characterized by short C···C contacts between the asymmetrically charged planar aromatic rings. Inversion centers are found between the π-stacked zwitterions, and the inversion symmetry of the aggregate maximizes the electrostatic attraction of the oppositely charged portions of the ring.

Fig. 2: Structure of 2 in the crystal showing intermolecular hydrogen bonding (left) and π stacking (right) interactions. Displacement ellipsoids are shown at the 50% probability level, H atoms as spheres with arbitrary radii. Selected bond distances (Å) and angles (deg): B(1)–C(8) 1.627(4), B(1)–O(1) 1.415(3), B(1)–O(2) 1.422(3), B(1)–O(3) 1.393(3), B(1)···N(1) 3.022, C(2)···C(7) 3.389, C(4)···C(9) 3.324, C(2)···C(5) 3.388, C(9)···C(9) 3.438; C(7)–C(8)–B(1) 120.4(2), C(9)–C(8)–B(1) 123.8(2).
Fig. 2:

Structure of 2 in the crystal showing intermolecular hydrogen bonding (left) and π stacking (right) interactions. Displacement ellipsoids are shown at the 50% probability level, H atoms as spheres with arbitrary radii. Selected bond distances (Å) and angles (deg): B(1)–C(8) 1.627(4), B(1)–O(1) 1.415(3), B(1)–O(2) 1.422(3), B(1)–O(3) 1.393(3), B(1)···N(1) 3.022, C(2)···C(7) 3.389, C(4)···C(9) 3.324, C(2)···C(5) 3.388, C(9)···C(9) 3.438; C(7)–C(8)–B(1) 120.4(2), C(9)–C(8)–B(1) 123.8(2).

Slower hydrolysis of 1 led to a different product. Solutions of 1 in CH3CN exposed to limited amount of moisture, such as within a closed NMR tube or vial, slowly (after a few weeks) formed crystals of the anhydride 3. Under these conditions, crystals of 3 do not include any solvent water molecules, whereas the previously reported structure of the anhydride concerns the monohydrate form [15]. The structure of 3 is presented in Fig. 3. The molecule adopts a roof shape with the (HO)BOB(OH) portion at the apex. The dihedral angle between the quinolinyl rings is ~105°. The B–N bonds lengths (1.649 and 1.656 Å), B–C bond lengths (1.624 and 1.635 Å), B–OH bond lengths (1.396 and 1.400 Å), and the B–(μ2)O bond lengths (1.411 and 1.404 Å) only very slightly deviate from C2 symmetry in the molecule. Similarly, the molecule 3 in the monohydrate crystal is very near to C2 symmetry. In crystals of 3·H2O [15] the B–C(ipso) distances (1.622 and 1.626 Å) are quite similar to those in 3, whereas the B–N distances in crystals of 3·H2O (1.708 and 1.693 Å) are noticeably longer than in 3. The B–OH distances in 3·H2O (1.423 and 1.427 Å) as well as the B–(μ2)O distances (1.435 Å) are longer than in 3. The dihedral angle of the quinoline rings is ~105° in both structures. Intermolecular π stacking between the molecular units is found in the crystal.

Fig. 3: Structure of 3 in the crystal with most of the hydrogen atoms omitted for clarity. Displacement ellipsoids are shown at the 50% probability level, H atoms as spheres with arbitrary radii. Selected bond distances (Å) and angles (deg): B(1)–N(1) 1.657(5), B(2)–N(2) 1.649(4), B(1)–C(17) 1.624(5), B(2)–C(8) 1.635(5), B(1)–O(1) 1.400(4), B(2)–O(3) 1.396(4), B(1)–O(2) 1.404(4), B(2)–O(2) 1.411(4), C(3)···C(6) 3.480, C(10)···C(10) 3.534, C(17)···C(19) 3.378, N(2)···C(15) 3.446; N(1)–B(1)–C(17) 104.7(2), N(2)–B(2)–C(8) 106.1(2), O(1)–B(1)–O(2) 112.7(3), O(3)–B(2)–O(2) 113.2(3), B(1)–O(2)–B(2) 112.8(3).
Fig. 3:

Structure of 3 in the crystal with most of the hydrogen atoms omitted for clarity. Displacement ellipsoids are shown at the 50% probability level, H atoms as spheres with arbitrary radii. Selected bond distances (Å) and angles (deg): B(1)–N(1) 1.657(5), B(2)–N(2) 1.649(4), B(1)–C(17) 1.624(5), B(2)–C(8) 1.635(5), B(1)–O(1) 1.400(4), B(2)–O(3) 1.396(4), B(1)–O(2) 1.404(4), B(2)–O(2) 1.411(4), C(3)···C(6) 3.480, C(10)···C(10) 3.534, C(17)···C(19) 3.378, N(2)···C(15) 3.446; N(1)–B(1)–C(17) 104.7(2), N(2)–B(2)–C(8) 106.1(2), O(1)–B(1)–O(2) 112.7(3), O(3)–B(2)–O(2) 113.2(3), B(1)–O(2)–B(2) 112.8(3).

Since compounds 2 and 3 are related in their degree of hydration, we set out to interconvert the two forms (Scheme 3). In order to open the dimeric anhydride molecule, fluoride was added as KHF2 to 3 in a THF-water mixture. It is well known that addition of KHF2 to boronic acids leads to organotrifluoroborates [20]. In this case, the presumed organofluoroborate intermediate hydrolyzes to form 2. To complete the reverse reaction, 2 was dissolved in concentrated HCl and neutralized with NaHCO3, which led to 3. Thus 2 and 3 are interconvertible, and we note that 2 is formed in acidic conditions while 3 is formed in basic conditions. It is interesting that 2 forms at low pH, as one would readily expect protonation of the quinoline nitrogen atom but not the addition of hydroxide to boron. However, protonation leads to a cationic Lewis acid with apparent high affinity for hydroxide ions, resembling recently developed fluoride and cyanide ion receptors [21]. It is also worth mentioning that the aminoborane 1-(NPh2)-2-[B(C6F5)2]C6H4 induces heterolytic cleavage of the H–OH bond to form a zwitterion; however this process is driven by the strongly electrophilic borane [22].

Scheme 3: Interconversion between 2 and 3.
Scheme 3:

Interconversion between 2 and 3.

We could not isolate the uncoordinated, monomeric 8-quinolylboronic acid, and suggest that the molecule may be difficult to isolate. Both molecules 2 and 3 likely form via 8-quinolylboronic acid as an intermediate. Interestingly, 2 is similar to one of the postulated intermediates in the hydrolysis of chloroalkanes by 8-quinoline boronic acid [23]. With respect to the degree of hydration, 8-quinolylboronic acid is an intermediate in the conversion of 2 to 3 since loss of an equivalent of water from 2 or addition of an equivalent of water to 3 should yield the uncoordinated, monomeric 8-quinolylboronic acid. Although several papers report the synthesis and application of 8-quinolylboronic acid, [3–7, 24–26] its crystal structure has not been determined except its dimer form. In fact, a powder X-ray pattern of a commercially obtained sample of ‘8-quinolylboronic acid’ indicates that the sample is actually 3·H2O (CCDC 635581) [15] according to simulation of its powder pattern from the single crystal data (Fig. 4). The elusive nature of the monomeric Lewis base-free 8-quinolylboronic acid may not be surprising. In the context of frustrated Lewis pair chemistry, frustration arises from steric bulk that surrounds the Lewis centers. In the absence of steric bulk, the frustration will be relieved upon formation of intra- or inter-molecular dative bonds. With little steric bulk surrounding the Lewis centers in 8-quinolylboronic acid, one should expect the molecule to dimerize. The reaction is further thermodynamically driven with the loss of water upon formation of the B–O–B bridge.

Fig. 4: Comparison of (top) simulated powder X-ray diffraction pattern for 3, (middle) simulated powder X-ray diffraction pattern for 3·H2O (CCDC 635581) [15], and (bottom) measured powder X-ray diffraction pattern for a commercial sample of ‘8-quinoline boronic acid’.
Fig. 4:

Comparison of (top) simulated powder X-ray diffraction pattern for 3, (middle) simulated powder X-ray diffraction pattern for 3·H2O (CCDC 635581) [15], and (bottom) measured powder X-ray diffraction pattern for a commercial sample of ‘8-quinoline boronic acid’.

While we could not isolate monomeric Lewis base-free 8-quinolylboronic acid, it may exist transiently in solution. We note that ‘8-quinolylboronic acid’ or derivatives have been utilized successfully in Suzuki coupling reactions [24, 25, 27–32]. In the mechanism, boronate ions are typically invoked as solution intermediates that transfer an aryl group to Pd in a transmetalation step that ultimately leads to C–C bond formation upon reductive elimination from the Pd center. Thus molecules of 2 or, in basic conditions, an equilibrium between 3 and a monomeric borate could provide the reaction intermediate.

4 Conclusion

In summary, 8-quinolylboranes are susceptible to rapid hydrolysis; however, the expected product, 8-quinolylboronic acid has not been observed in the monomeric Lewis base-free form. Instead, 8-quinolylboronic acid may exist transiently and react with water to form the zwitterionic (quinolinium-8-yl)trihydroxyborate or a dimeric anhydride. We show that commercially available ‘8-quinolylboronic acid’ is actually the dimeric form as its monohydrate. Despite the elusive nature of the monomeric Lewis base-free 8-quinolylboronic acid, its repeated use in Suzuki coupling indicates that its other forms essentially perform like a typical boronic acid.


Corresponding author: James D. Hoefelmeyer, Department of Chemistry, University of South Dakota, 414 E. Clark St., Vermillion, SD 57069, USA, e-mail:

Acknowledgments

This work was supported by the National Science Foundation (CHE-0552687 and EPS-0554609) and the U.S. Department of Energy (Contract Nos. DE-FG02-08ER64624 and DE-EE0000270).

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Received: 2015-2-12
Accepted: 2015-4-2
Published Online: 2015-9-24
Published in Print: 2015-11-1

©2015 by De Gruyter

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