Sodium-23 Solid-State Nuclear Magnetic Resonance of Commercial Sodium Naproxen and its Solvates KEVIN M. N. BURGESS, FRÉDÉRIC A. PERRAS, AURORE LEBRUN, ELISABETH MESSNER-HENNING, ILIA KOROBKOV, DAVID L. BRYCE Department of Chemistry and Centre for Catalysis Research and Innovation, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada Received 29 February 2012; revised 10 April 2012; accepted 27 April 2012 Published online 22 May 2012 in Wiley Online Library (wileyonlinelibrary.com). DOI 10.1002/jps.23196 ABSTRACT: We report on the investigation of sodium coordination environments with solidstate 23 Na nuclear magnetic resonance (NMR) spectroscopy of various hydrates and solvates of sodium naproxen (SN), a commercially available anti-inflammatory drug sold over the counter R , among other names. The 23 Na quadrupolar coupling constant is found to change as Aleve significantly depending on the hydration state, and subtle changes in oxygen coordination environment about the sodium cations were apparent in the NMR spectra. High-resolution double-rotation NMR experiments are also performed on powdered samples to obtain solutionlike 23 Na NMR spectra. Our attempts at crystallizing various solvates of SN have led to the characterization of the first crystal structure for the heminonahydrated form. The composition R is composed of approximately of commercial SN is also investigated and it is shown that Aleve 80% monohydrate solvate. Density-functional theory calculations, using the gauge-including projector-augmented-wave formalism, allow for the assignment of 23 Na NMR peaks to specific sodium sites in the reported X-ray crystal structure. © 2012 Wiley Periodicals, Inc. and the American Pharmacists Association J Pharm Sci 101:2930–2940, 2012 Keywords: sodium naproxen; solvates; hydrates; solid-state 23 Na NMR; quadrupolar nuclei; R magic-angle spinning; double rotation; polymorphism; crystal structure; Aleve INTRODUCTION The polymorphism phenomenon is the ability of one chemical species to exist in various crystallographic forms that all have identical molecular formulas. A solvate, on the other hand, is identified when a different crystal structure results from hydration or solvation. The study of these is of utmost importance in the pharmaceutical industry as different polymorphs, hydrates, and solvates of a certain drug have different pharmaceutical characteristics.1 In fact, acAbbreviations used: NMR, nuclear magnetic resonance; SSNMR, solid-state nuclear magnetic resonance; SN, sodium naproxen; DOR, double rotation; MAS, magic-angle spinning; PXRD, powder X-ray diffraction; CP, cross-polarization; CT, central transition; QI, quadrupolar interaction; EFG, electric field gradient; MQMAS, multiple-quantum magic-angle spinning; GIPAW, gauge-including projector-augmented wave; DFT, density functional theory; DFS, double frequency sweeps; RH, relative humidity. Additional Supporting Information may be found in the online version of this article. Supporting Information Correspondence to: David L. Bryce (Tel.: +1-613-5625800x2018; Fax: +1-613-562-5170; E-mail: [email protected]) Journal of Pharmaceutical Sciences, Vol. 101, 2930–2940 (2012) © 2012 Wiley Periodicals, Inc. and the American Pharmacists Association 2930 cording to the United States Federal Drug Administration, a polymorph must be fully characterized before its release into the market.2 The “gold standard” in identifying the presence of polymorphs and solvates has been powder X-ray diffraction (PXRD) and/or solid-state 13 C nuclear magnetic resonance (SSNMR) spectroscopy.3–5 Under magic-angle spinning (MAS) conditions, SSNMR can provide solutionlike spectra for spin-1/2 nuclei such as 13 C in powdered samples because the orientational dependence of the chemical shifts (CS) with respect to the magnetic field is averaged, giving clear indications as to the phase purity of the sample. In this work, we report on a 23 Na SSNMR study of different hydrates and solvates of sodium naproxen (SN; see Scheme 1), which is a nonsteroidal antiinflammatory drug. Previous nuclear magnetic resonance (NMR) studies on this system have used 13 C cross-polarization (CP) MAS experiments, but these have yielded ambiguous results due to multiple overlapping resonances.6 23 Na is a quadrupolar nucleus (i.e., spin quantum number, I = 3/2), which makes the analysis of the corresponding NMR spectra more challenging as the observed central transition (CT; JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 SODIUM-23 SOLID-STATE NMR OF COMMERCIAL SODIUM NAPROXEN AND ITS SOLVATES 2931 the different Na+ coordination environments in SN solvates. EXPERIMENTAL Scheme 1. Two-dimensional structural representation of sodium naproxen ((S)-6-methoxy-α-methyl-2-naphthaleneacetic acid sodium salt). m = +1/2 ↔ −1/2) is broadened by the quadrupolar interaction (QI) to second order. This interaction stems from the coupling between the quadrupole moment of 23 Na and the electric field gradient (EFG) at the nucleus. The use of quadrupolar nuclei to probe the EFG has been demonstrated on many occasions7,8 to be quite sensitive to different crystallographic environments, thereby making their application useful for the present study. Some illustrative examples9,10 of the utility of SSNMR experiments at detecting polymorphic species include that of Schurko and coworkers,11 wherein they demonstrated the use of 35 Cl (I = 3/2) SSNMR to study various hydrochloride salts of pharmaceuticals. Additionally, Xu and Harris12 have employed 23 Na multiple quantum MAS (MQMAS) NMR to investigate polymorphism in sodium acetate. As the QI cannot be completely averaged by MAS alone, more complex two-dimensional NMR experiments may be advantageous to obtain high resolution, or the sample can be spun about two angles using 23 Na double rotation (DOR) NMR experiments.13–15 This action more completely averages the broadening due to the QI, permitting an enhancement in resolution between spectral resonances corresponding to multiple crystallographically distinct sites, as compared with conventional MAS experiments. The different shifts observed in these spectra are representative of the CSs and EFGs of the different 23 Na sites present. This method was proven to be quite useful recently in distinguishing between very similar Na sites in sodium nucleotides.16 Computational methods continue to emerge as powerful tools to corroborate SSNMR experiments. However, more conventional chemical model-based methods are usually inaccurate in their predictions, as the EFG is dependent on the long-range charge distributions in the crystallite, which are only modeled when the repetitive nature of the solid is taken into account.17 The gauge-including projector-augmented wave (GIPAW) density functional theory (DFT) approach uses the periodicity of plane waves to consider these long-range effects and uses pseudopotentials for speed. This method has been shown previously to effectively reproduce experimental 23 Na EFG parameters for the perovskites NaNbO3 and NaTaO3 .18 In the present study, our aim with these calculations is to show how the NMR parameters may be related to DOI 10.1002/jps Sample Preparation Naproxen as well as anhydrous SN were purchased from Sigma–Aldrich and used without further purifiR cation. Aleve was purchased from the campus pharmacy of the University of Ottawa in capsule form. A saturated solution of SN in methanol was placed under argon, where single crystals of SN monohydrate (verified by single-crystal XRD) formed within a few weeks. As for the methanol solvate, this was formed via slow evaporation of a saturated solution of SN in methanol in open air. The identity of this sample was confirmed using PXRD (vide infra). The SN heminonahydrate was synthesized by dissolving a 1:1 molar ratio of naproxen and sodium hydroxide in 1-butanol. The solution was left to slowly evaporate for several weeks until single crystals suitable for X-ray analysis appeared. For SSNMR analysis, all samples were ground and tightly packed into 4 and 7 mm zirconia rotors for MAS experiments and 4.3 mm vespel rotors for DOR experiments. SSNMR Spectroscopy 23 Na SSNMR experiments were performed at magnetic fields of 4.7 T (Bruker AVANCE III (Bruker Biospin, Milton, Ontario, Canada), νL (23 Na) = 53.92 MHz) and 9.4 T (Bruker AVANCE III, νL(23Na) = 105.84 MHz) at the University of Ottawa. Setup and pulse calibrations were carried out with solid NaCl (resonance set to 7.2 ppm).19 The CT-selective pulse, or “solid-π/2”, used for the SN samples was calibrated using NaCl, and scaled by a factor of 1/(I + 1/2) = 1/2. The selective pulse lengths used varied between 1.5 and 2.0 :s. Spectra were collected under MAS conditions using either a one pulse (anhydrous and monohydrate) or Hahn echo sequence (i.e., π/2 → τ1 → R (Bayer π → τ2 → acq;20 methanol solvate and Aleve Inc., Toronto) along with proton decoupling during the acquisition time. A Bruker 7 mm HXY tripleresonance MAS probe was used at 4.7 T (with a spinning frequency of 4 kHz for the monohydrate) and a Bruker 4 mm HXY triple-resonance probe was used at 9.4 T (with spinning frequencies of 8 kHz for anhydrous SN and 10 kHz for the monohydrate, the R ). A recycle delay of 2.0 s methanol solvate, and Aleve was used for all experiments with the exception of R where this was 4.0 s. Spectra of SN monoAleve hydrate, anhydrous SN, the methanol solvate of SN, R were acquired with 228, 3548, 5120, and and Aleve 1219 scans, respectively. The 23 Na DOR NMR experiments were performed at 9.4 T and used a Bruker HP WB 73A DOR probe with a 4.3 mm inner rotor JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 2932 BURGESS ET AL. and a 14 mm outer rotor. The inner rotor spinning was monitored using an antenna which was attached to the stator and then connected to an oscilloscope. The outer rotor spin rates were 1004, 825, and 720 R Hz for the anhydrous, methanol solvate, and Aleve samples, respectively. Outer rotor spin rates were stable to within 2 Hz, whereas inner rotor spin rates were only monitored qualitatively. All DOR experiments used a single pulse with proton decoupling and outer rotor synchronization to remove the odd ordered sidebands.21 The CT-selective π/2 pulse lengths were set to 3.1 :s for all experiments. The numbers of scans R ), 129 (methanol solvate), and 159 were 100 (Aleve R ) and (anhydrous), with recycle delays of 1 (Aleve 2 s (anhydrous and methanol solvate). In the case of R , the double frequency sweeps (DFS) technique Aleve was used to enhance the signal from the CT.22 The DFS pulse swept from 900 to 175 kHz over a duration of 667 :s. Data Processing and Simulations All NMR spectra were processed with Bruker TopSpin 3.0 software. The free-induction decays (FIDs) acquired with a Hahn echo sequence were left-shifted an appropriate number of points to the top of the CT echo signal. All MAS NMR spectra were then simulated in the frequency domain using the WSolids software package (Universitat Tuebingen, Germany, 2001). The DOR NMR spectra were simulated with a GAMMA23 density matrix simulation program described elsewhere.24 The simulations assumed one or two (vide infra) crystallographically distinct sites, in accordance with the single-crystal XRD data for each system. Stack plots for figures were generated with DMFit (v. 2011).25 Single-Crystal XRD A suitable crystal of SN heminonahydrate was selected, mounted on a thin glass fiber using paraffin oil, and cooled to the data collection temperature of 200 K. Data were collected on a Bruker AXS SMART singlecrystal diffractometer equipped with a sealed Mo tube source (wavelength = 0.71073 Å), and an APEX II CCD detector. Raw data collection and processing were performed with the APEX II software package from Bruker AXS.26 Diffraction data were collected with a sequence of 0.3◦ ω scans at 0◦ , 90◦ , 180◦ , and 270◦ each with 600 frames in ϕ. A fifth batch was run at 0◦ with 50 frames. Initial unit cell parameters were determined from 60 data frames and correspond to different sections of the Ewald sphere. Semi-empirical absorption corrections based on equivalent reflections were applied.27 The systematic absences and unit cell parameters were consistent with the C2 space group. Solutions yielded chemically reasonable and computationally stable results of refinement. The structure was solved by direct methods, completed with differJOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 ence Fourier syntheses, and refined with full-matrix least-squares procedures based on F2 (square of the structure factor). Positions of all the hydrogen atoms were obtained from the Fourier map analysis; however, all hydrogen atoms were added into idealized positions to satisfy the formula. All scattering factors are contained in several versions of the SHELXTL program library, with the latest version used being v.6.12.28 Crystallographic data are reported in Table 2. GIPAW DFT Computations GIPAW DFT calculations were performed with version 4.1 of CASTEP-NMR (Accelrys Inc., San Diego, California) and input files were generated using the available crystal structure data using Materials Studio version 3.2 (Accelrys Inc.).29 The X-ray structure of the anhydrous form was used as reported in the literature.30 On-the-fly generation ultrasoft pseudopotentials were used for all atoms in the lattice and were obtained directly from Accelrys Inc. All calculations used the Perdew, Burke, and Ernzerhof exchange-correlation functional under the generalized gradient approximation with both an ultra-fine energy cut-off, Ecut , and k-point grid (see Table S1 in the Supporting Information). Sodium magnetic shielding and EFG tensors were then extracted from the output files using a modified version of the EFGShield program.31 The isotropic magnetic shielding from the calculations can be related to the isotropic CS, δiso , in the following way: δ iso = (σ iso,ref − σ iso ) (1 − σ iso,ref ) where σiso,ref is the absolute shielding value for a reference material. For 23 Na, this shielding value is 576.6 ppm for infinitely dilute sodium cations in D2 O at 297 K.32 RESULTS AND DISCUSSION The experimental sodium NMR parameters for the SN hydrates and solvates studied here may be found in Table 1, whereas Figures 1 and 2 contain the corresponding MAS and DOR NMR spectra. First, 23 Na MAS spectra of the CT are acquired and analytically simulated to fully characterize the EFG tensor parameters (i.e., the quadrupolar coupling constant, CQ , and the asymmetry parameter, ηQ ) as well as the isotropic CS, δiso . These results are then complemented with 23 Na DOR NMR experiments, as the shifts observed under these conditions are the sum of δiso and the second-order quadrupole-induced shift, the latter of which is proportional to CQ and ηQ .33 Density matrix simulations24 are used to corroborate these shifts and the spinning sideband manifolds DOI 10.1002/jps SODIUM-23 SOLID-STATE NMR OF COMMERCIAL SODIUM NAPROXEN AND ITS SOLVATES Table 1. 2933 Experimental 23 Na Quadrupolar Coupling Data Sodium Naproxen Sample Anhydrous Monohydrate Methanol solvate |CQ (23 Na)|c (MHz) ηQ δiso (ppm) 2.88(0.03) 3.08(0.03) 1.08(0.03) 3.05(0.02) ∼0d 0.70(0.03) 0.58(0.02) 0.52(0.05) 0.32(0.03) –d 3.3(0.4) 2.4(0.3) 4.9(0.2) 1.4(0.1) −1.0(0.1)d Site 1 Site 2 Site 1 Site 2 a Error bounds are in parentheses. EFG may be described as a second rank tensor (V), which can be represented by a 3 × 3 Cartesian matrix. In its principal axis system (PAS), this matrix is diagonal where the principal components, Vii , are defined such that |V11 | ≤ |V22 | ≤ |V33 | and V11 + V22 + V33 = 0. These principal components are represented conventionally by the quadrupolar coupling constant, CQ (eQV33 /h in MHz), and the asymmetry parameter, ηQ ((V11 − V22 )/V33 ranging between 0 and 1). c One typically measures the absolute value, |C |. Q d No second-order line shape broadening effects were observed, suggesting a negligible EFG at this sodium site. b The observed (vide infra). Spectra may also be acquired under stationary conditions to fully characterize the remaining CS tensor parameters (i.e., the span, , and the skew, κ; see the Supporting Information for more details). These experiments (not shown) revealed that broadening of the 23 Na CT due to anisotropic magnetic shielding is not significant in this study, as never exceeds 10 ppm. The values for δiso are seen to vary between −1 (site 2 in the methanol solvate) and 4.9 ppm (monohydrate), which is within the range of values observed for sodium acetate12 and tetrasodium ethylenediaminetetraacetate salts.34 The value of CQ (23 Na) ranges from close to 0 (site 2 in the methanol solvate) to 3.08 MHz (site 2 in the anhydrous form). This exceeds the upper limit of all the sodium nucleotides studied to date35 and resembles more the values observed for sodium metallocenes.36,37 Specific results and highlights will be addressed below for each of the individual solvates studied. Anhydrous and Monohydrate Forms of SN The crystal structures for the anhydrous and monohydrate forms have been solved previously by singlecrystal XRD and each pack in the P21 space group.30,38 For the monohydrate, the crystals isolated as part of this study matched what was reported by Kim et al.38 This group has also elucidated the structure of the anhydrous form, which will be used for our interpretations in the context of the NMR parameters. The 23 Na MAS NMR spectrum of SN monohydrate acquired at B0 = 9.4 T may be found in Figure 1b. The relatively narrow line shape made the analytical simulation of the spectrum more challenging. As a result, data were acquired at a second field (B0 = 4.7 T, see Figure 1d) where the typical singularities of a MAS line shape are more apparent as the broadening from the QI is more pronounced when B0 is decreased. The spectra obtained at both magnetic fields are representative of one sodium site per asymmetric unit in the crystal structure, which is consistent DOI 10.1002/jps with the one reported.38 The line shape is characterized by a relatively small CQ (23 Na) of 1.08(0.03) MHz and the largest δiso observed in this study of 4.9(0.2) ppm. The sodium cation does not sit on any rotational axis; therefore, the EFG tensor is not expected to be axially symmetric (ηQ = 0). The same can be said for anhydrous SN, for which the 23 Na MAS and DOR NMR spectra are shown in Figures 1f and 2b, respectively. Both of these spectra were simulated with two crystallographically distinct sodium sites, each with 100% occupancy, which is consistent with the reported crystal structure.30 Both sites have very similar δiso values, but slight differences in their CQ (23 Na) values [2.88(0.03) and 3.08(0.03) MHz for sites 1 and 2, respectively] allow for their differentiation under both MAS and DOR conditions. This demonstrates the power of SSNMR in detecting subtle structural differences between two seemingly identical sodium sites. An abstract by Yamamoto and coworkers reported PQ (i.e., CQ (1 + ηQ 2 /3)1/2 ) values of 1.10 and 3.09 MHz for anhydrous SN as a result of 23 Na MQMAS experiments.39 Although our data for site 2 are consistent with their values, the data for site 1 are not. We speculate that their results may have been misinterpreted, as both sodium sites from the crystal structure of anhydrous SN are in very similar coordination environments and our 13 C CP/MAS spectrum (see Figure S1 in the Supporting Information) is in full agreement with the assignment of Di Martino et al.6 In addition, we have performed our own 23 Na MQMAS experiment to corroborate these findings (see Figure S2 in the Supporting Information). We were unable to resolve both sodium sites of anhydrous SN using this method at 9.4 T, suggesting that DOR NMR experiments can provide a higher degree of resolution in a shorter amount of time (experiment times of 20 h and 5 min for the MQMAS and DOR experiments, respectively). Thus, in this case, a MQMAS NMR experiment does not aid in our characterization of the EFG tensor parameters. Interestingly, a threefold increase in the value of CQ (23 Na) for the anhydrous form with respect to the JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 2934 BURGESS ET AL. Figure 1. 23 Na MAS solid-state NMR spectra of the studied solvates of sodium naproxen. The spectrum for sodium naproxen monohydrate (b) and (d) were acquired at B0 = 9.4 and 4.7 T with spinning frequencies of 10 and 4 kHz, respectively. Spectra for both the anhydrous (f) and the methanol solvate (h) of sodium naproxen were acquired at B0 = 9.4 T with spinning frequencies of 8 and 10 kHz, respectively. The asterisk (∗) denotes the presence of sodium chloride in the sample. All analytical simulations (a, c, e, and g) were performed using WSolids (data in Table 1). monohydrate is noted. This can be explained qualitatively by analyzing the sodium cation’s coordination environments in each species. For SN monohydrate, five oxygen atoms arranged in a distorted trigonal bipyramidal manner surround a Na+ , whereas in anhydrous SN, four oxygen atoms coordinate to each Na+ in a trigonal pyramidal fashion. The decreased degree of symmetry about the sodium cation in the latter accounts for the increase in the value of CQ (23 Na). The Methanol Solvate of SN Presented in Figures 1h and 2d are, respectively, the 23 Na MAS and DOR NMR spectra of the methanol solvate of SN. The resonance marked by an “M” represents the presence of a SN monohydrate impurity as both its shift in the DOR spectrum and the fitting parameters are exactly those used for this hydrate. Furthermore, a 23 Na DOR spectrum acquired several months later (see Figure S3 in the Supporting Information) suggests that this resonance is from a different species than the other two, which stem from both crystallographically distinct sodium sites of the JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 methanol solvate of SN. This conclusion is reached because the relative intensities of sites 1 and 2 do not change, whereas a significant decrease in the presence of the SN monohydrate is noted over this period of time. A PXRD experiment (see Figure S4 in the Supporting Information) was performed on this sample and it confirms that a methanol solvate of SN was obtained as the peaks match what was reported by Chavez et al.40–42 in their characterization of various alcohol solvates by PXRD and thermogravimetric analysis. Therefore, we speculate that the methanol solvate contains two different sodium cations per asymmetric unit and that these are not in very similar chemical environments, in contrast to anhydrous SN. This is because of the large difference in their CQ (23 Na) values [i.e., 3.05(0.02) MHz for site 1 and ∼0 for site 2]. Attempts at corroborating this with 13 C CP/MAS NMR were unsuccessful as assignments proved quite difficult with the overlapping signal from the monohydrate impurity (see Figure S5). This further exemplifies that 23 Na SSNMR can easily differentiate between solvates in a more straightforward manner than 13 C SSNMR for a more challenging sample of SN that contains impurities from other DOI 10.1002/jps SODIUM-23 SOLID-STATE NMR OF COMMERCIAL SODIUM NAPROXEN AND ITS SOLVATES 2935 methanol molecules. Even though our sample corresponds to a different methanol solvate, the calculated EFG tensor parameters (vide infra) for this are in agreement with experiment, which supports that the crystal structure of our sample is probably similar to the single crystal X-ray structure reported by Chavez. The Crystal Structure of SN Heminonahydrate Figure 2. 23 Na DOR solid-state NMR spectra of the solvates of sodium naproxen studied in this work. Both anhydrous (b) and the methanol solvate (d) of sodium naproxen were acquired at B0 = 9.4 T. Numbers indicate the peak corresponding to each site, as in Table 1. Density matrix simulations (a and c) were performed to accurately simulate the experimental spectra. solvates. In the case of 13 C NMR, for example, the general carbon framework of the naproxen molecule does not change significantly when comparing different solvates. On the contrary, the sodium cation coordination environment differs immensely from one hydrate to another, making it the ideal probe for differentiating between solvates. A preliminary single-crystal X-ray structure, reported in the doctoral thesis of Chavez, has a 3:2 ratio of methanol to SN.40 However, our PXRD data are more in agreement with Chavez’s diffractogram obtained from powdered crystals synthesized by slow evaporation (i.e., our method as well), which is in slight disagreement with the simulated one from the reported crystal structure.40 This structure contains two crystallographically distinct sodium sites, one of which is coordinated to three methanol oxygen atoms and three naproxen carboxylate oxygen atoms in a near octahedral fashion, whereas the other sodium site is surrounded by seven oxygen atoms from three naproxen carboxylate groups and two DOI 10.1002/jps The existence of a tetrahydrated form of SN was reported by Di Martino et al.6 They synthesized this hydrate (among others) by exposing anhydrous SN to various relative humidities (RH) for several days and it was found that the tetrahydrated form could be obtained when the RH exceeded 75%.6,43,44 In fact, the species obtained were highly dependent upon the RH. In our laboratory, we recrystallized a mixture of naproxen and sodium hydroxide in 1-butanol without particular concern for the ambient RH. According to the crystal structure determined herein, each asymmetric unit in the single crystal contains one SN and 4.5 water molecules (i.e., it is a heminonahydrate). This structure is different from the others described earlier as each sodium cation is coordinated solely by water molecules and forms a “zig–zag” chain sandwiched between layers of naproxen carboxylate moieties (see Figure 3). Table 2 summarizes both the crystallographic data and collection parameters used to solve this structure. It should be noted that the crystals obtained diffracted rather poorly at high diffraction angles and the results presented here are the best out of several attempts. Finally, the simulated PXRD data from this crystal structure (see Figure S6) is in full agreement with Di Martino et al.’s6 diffractogram and is thus a further characterization of their material. As for 23 Na SSNMR experiments, the MAS spectrum obtained for the heminonahydrate was identical to that of the monohydrate. We speculate that the sample easily transformed into the monohydrate as the hydration level is known to depend upon the ambient RH.6 Sample grinding, which is essential for the types of SSNMR experiments and probes available to us (as well as for PXRD), may have also contributed to partial dehydration. The 23 Na SSNMR Characterization of Commercial SN With the 23 Na EFG tensor parameters of the different SN solvates in hand, we sought to investigate the composition of a commercial brand of SN sold “ overR . In Figures 4b and 4d are the the-counter”: Aleve 23 experimental Na DOR and MAS NMR spectra, reR along with spectively, of a single capsule of Aleve spectral simulations (Figures 4a and 4c). These simulations were generated using a superposition of simulated spectra generated exclusively from the experiR mental data in Table 1. We can conclude that Aleve is mostly composed of the monohydrated form of SN JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 2936 BURGESS ET AL. Table 2. Crystallographic Data and Data Collection Parameters for Sodium Naproxen Heminonahydrate Empirical Formula mol−1 ) Formula weight (g Crystal size (mm) Crystal system Space group Z a (Å) b (Å) c (Å) α (◦ ) β (◦ ) γ (◦ ) Volume (Å3 ) Calculated density (Mg/m3 ) Absorption coefficient (mm−1 ) F(000) Range for data collection (◦ ) Limiting indices Reflections collected/unique R(int) Completeness to = 28.32 (%) Max and min transmission Data/restraints/parameters Goodness-of-fit on F2 Final R indices [I > 2σ(I)] R indices (all data) Largest diff peak/hole (e Å−3 ) along with a nonnegligible amount of anhydrous SN. A tentative ratio of 1:0.3 can be assigned on the basis of the relative intensities in the MAS spectrum of the line shapes of the monohydrate and anhydrous species. We emphasize here that this quantification is provisional, as the 23 Na QI in these two species varies C14 H13 NaO3 ·4.5H2 O 333.31 0.16 × 0.14 × 0.08 Monoclinic C2 4 40.8732 (18) 5.5741 (3) 7.1037 (3) 90 98.045 (3) 90 1602.52 (13) 1.381 0.133 708 3.69–24.78 h = ±48, k = ±6, l = ±8 13,121/2642 0.0592 94.8 0.9894 and 0.9790 2642/1/229 1.059 R1 = 0.0864, wR2 = 0.2084 R1 = 0.1001, wR2 = 0.2240 0.737/−0.364 significantly (see Table 1). As a result, transverse relaxation (i.e., T2 ) will differ between both solvates leading to slight differences in their relative spectral intensities. Furthermore, sample grinding and changes in the ambient RH may have an effect, as was proposed for the SN heminonahydrate (vide supra). Figure 3. Depiction of part of the crystal structure determined for sodium naproxen heminonahydrate. Eight unit cells of the crystal structure are seen with the b-axis going into the page. Hydrogen atoms have been omitted for clarity. The grey wire frame represents the naproxen carbon scaffold. The red and green spheres represent the oxygen and sodium atoms, respectively. JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 DOI 10.1002/jps SODIUM-23 SOLID-STATE NMR OF COMMERCIAL SODIUM NAPROXEN AND ITS SOLVATES 2937 Figure 4. 23 Na solid-state NMR spectra of commercial sodium naproxen. Both the DOR R were acquired at B0 = 9.4 T. A (b) and MAS (d, spinning frequency of 10 kHz) spectra of Aleve density matrix simulation was performed for the DOR spectrum (a) and WSolids was used to simulate the MAS spectrum in (c). The insets of the experimental 23 Na DOR and MAS NMR R . A sharp spectra indicate the nonnegligible presence of anhydrous sodium naproxen in Aleve peak at about −8 ppm in the DOR spectrum is assigned to a small amount of an unknown species. The asterisk (∗) denotes the presence of sodium chloride in the sample. DOI 10.1002/jps JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 2938 BURGESS ET AL. Figure 5. GIPAW DFT calculated vs. experimental 23 Na EFG tensor components. The individual components are denoted Vii (where ii = 11, 22, or 33). The anhydrous and monohydrate pseudopolymorphs are depicted here using black diamonds. The line of best fit is as follows: Vii (23 Na, calc.) = 1.13(Vii , 23 Na, expt.), R2 = 0.996. The calculated EFG tensor components for site A of the methanol solvate are also shown as empty circles. GIPAW DFT Calculations Summarized in Table 3 are the GIPAW DFT calculated values for the 23 Na EFG tensor parameters and isotropic CSs of the various forms of SN considered in this study. With respect to the monohydrate and anhydrous SN, the calculated 23 Na EFG tensor components are in excellent agreement with experiment, as quantified by a Pearson’s correlation coefficient, R2 , of 0.996 (Figure 5). It is noted, however, that these values are consistently slightly overestimated by a factor of 1.13. It is important to note that these results were obtained from crystal structures in which the hydrogen positions were not optimized. To evaluate the possible effects this could have on our calculated NMR parameters, the hydrogen positions were optimized in the monohydrated form of SN within the CASTEP program (Accelrys Inc.). This was found to slightly improve the value of CQ by 6% with respect to the experimental one. This result suggests that the overestimation of the EFG tensor parameters is partly inherent to the GIPAW DFT method and not solely because of the inability of XRD to accurately predict hydrogen positions. The values of δiso are consistently overestimated by the calculations by approximately 20 ppm when using the absolute shielding scale for sodium. Again, this does not stem from our inability to accurately predict the hydrogen positions as an improvement of only 5% was obtained when these were optimized in the monohydrate’s crystal structure. The calculations allow us to assign both sodium sites in the crystal structure of anhydrous SN to experimental 23 Na NMR parameters as, for example, the calculated trends (higher CQ (23 Na), lower ηQ , and lower δiso ) for site B (Table 3) are consistent with those of site 2 in Table 1. The same kind of interpretation may be made for site A and site 1. For the methanol solvate, the calculated CQ (23 Na) values for the two crystallographically distinct sodium sites are quite different from each other, which is in agreement with our experimental findings. The calculated EFG tensor components are plotted in Figure 5 for site 2 of the methanol solvate where it is evident that these are also well reproduced. However, an unambiguous assignment of sites to spectral parameters, as was carried out for anhydrous SN, cannot be made in this case as the PXRD data do not match exactly with the single-crystal XRD structure; this discrepancy is identical to what was found by Chavez (vide supra). Nevertheless, it is still possible to speculate that site 1 of the methanol solvate (Table 1) would be in a similar coordination environment to site A in the crystal structure (Table 3). CONCLUSION Magic-angle spinning and DOR solid-state 23 Na NMR methods were used to characterize various forms of SN: anhydrous, monohydrate, and methanol solvates. This permitted us to fully characterize their 23 Na EFG tensors as well as their isotropic CSs. These results indicate that CQ (23 Na) is a marker for the different hydrates/solvates of SN, as this parameter is quite sensitive to small differences in crystal packing. The value of CQ (23 Na) is also quite sensitive to the local oxygen environment about the sodium cations because of its rather large range. The NMR methods used here provide information about the phase purity of SN in a more straightforward manner than 13 C solid-state NMR or PXRD, as exemplified with the methanol solvate sample. We have also analyzed R and found that it is commercial SN sold as Aleve composed of both the monohydrate and anhydrous species in an approximately 1:0.3 ratio. During this study, we have obtained the first crystal structure of SN heminonahydrate, but attempts at characterizing Table 3. Calculated 23 Na Quadrupolar Coupling Data and Isotropic Chemical Shifts for the Different Sodium Naproxen Solvates with the GIPAW DFT Method Sodium Naproxen Sample Anhydrous Monohydrate Methanol solvate Site A Site B Site A Site B JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 8, AUGUST 2012 CQ (23 Na) (MHz) ηQ δiso (ppm) 3.20 3.47 1.55 3.92 1.47 0.68 0.54 0.48 0.25 0.94 22.2 20.1 24.5 15.4 19.7 DOI 10.1002/jps SODIUM-23 SOLID-STATE NMR OF COMMERCIAL SODIUM NAPROXEN AND ITS SOLVATES it by 23 Na NMR were unsuccessful presumably due to sample grinding and/or the ambient RH. Valuable information was extracted from the GIPAW DFT quantum chemical calculations. For example, we were able to assign both sodium sites in the crystalline lattice to their respective NMR signals in anhydrous SN and the calculated EFG tensor parameters were found to be in excellent agreement with experiment where an adequate X-ray crystal structure is available. We envision that 23 Na SSNMR experiments will be quite useful to pharmaceutical scientists as the phase purity of a drug sample can be evaluated qualitatively in a matter of minutes under MAS or DOR NMR conditions. We observed that, because of the sharper lines obtained under DOR conditions, the sensitivity of the 23 Na DOR experiment is comparable to that of the standard 23 Na MAS experiment. Future work may lead to more quantitative results for analyzing phase purity. ACKNOWLEDGMENTS K.M.N.B. and F.A.P. thank the Natural Sciences and Engineering Research Council (NSERC) of Canada for graduate scholarships. A.L. thanks Dr. Claudia Gomes de Morais at l’Université de Poitiers in Poitiers, France for support during her exchange program to Canada. E.M.-H. thanks the COOP program at the University of Ottawa for financial support. D.L.B. thanks NSERC, the Canada Foundation for Innovation, and the Ontario Ministry of Research and Innovation for funding. 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DOI 10.1002/jps
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