Paper page

Original: publisher page

Christopher S. Towler, Tonglei Li, Håkan Wikström, David M. Remick, Manuel V. Sanchez-Felix, Lynne S. Taylor* · Molecular Pharmaceutics 5(6), 946-955 (2008)

An Investigation into the Influence of Counterion on the Properties of Some Amorphous Organic Salts

Amorphous salts of two basic drugs, propranolol and nicardipine, all had a higher glass transition temperature (Tg) than the free base, and the counterion set how much higher, roughly in order of its acid strength. ···

Abbreviations

Tg glass transition temperature; Tc recrystallization temperature on heating; Tm melting temperature; ΔCp heat capacity change at Tg; RH relative humidity; FD freeze-drying; DVS dynamic vapor sorption; DFT density functional theory; E (Table 7) or A (eqs 1-2) electron affinity; I ionization potential; η hardness; S softness; μ electronic chemical potential; ω electrophilicity index; ClogP calculated log P; ClogD calculated log D; CMR molar refractivity; PSA polar surface area; PLS partial least squares projection to latent structures; R² correlation coefficient; Q² cross-validation coefficient; RMSEE root mean square error of estimation.

Story. Why they did it → how → what they found → how it fits together → what is left. Each part opens with the short version; "More detail" under it gives the full account. Grey ids open the evidence behind a sentence.

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Question

Does the counterion change the Tg, crystallization tendency and moisture uptake of an amorphous drug salt, and which counterion properties go with a high Tg?

Short answer

For Tg, yes: every salt was above its free base (propranolol −9.3 °C against 9.0–35.9 °C for its salts; nicardipine 3.2 °C against 28.5–81.0 °C), and low-pKa counterions such as chloride gave the highest values. Crystallization and moisture uptake also changed with the counterion but followed no rule. A PLS model on counterion descriptors fitted Tg with an error of 3–4 °C. ······

Conclusion

For propranolol and nicardipine salts made by freeze-drying (or, where that failed, by melt quenching), Tg was higher than that of the free base for every counterion tested, and the size of the rise depended on the counterion. ···· As a "good approximation", the authors state that counterions with a low pKa (and a high electrophilicity index) give the highest Tg; a PLS2 model built on 12 salts, after citrate and phosphate were removed as outliers, related Tg to counterion pKa, electronic chemical potential, electrophilicity index and other descriptors with R² 0.909 and Q² 0.668. ···· The authors "believe" that Tg is set by the strength of the acid–base interaction; that interaction was not measured, and the descriptors were calculated for the isolated acid molecules. ·· Moisture sorption and crystallization tendency also differed between counterions, but the authors found no link to pKa or to any calculated counterion property. ·

01Why this study

Known 1Amorphous forms help but carry risks

They dissolve faster but take up water, are less stable and can crystallize.

Hancock 1997, ref 10

Known 2Salts raise the Tg of an amorphous drug

Amorphous sodium indomethacin has a far higher Tg than the free acid.

Tong 1999, ref 19

Known 3The counterion matters

Tg of indomethacin salts falls from lithium to cesium, attributed to stronger electrostatic interaction of small ions.

Tong 2002, ref 20

Known 4Salt formation in a dispersion

Loperamide formed a salt with poly(acrylic acid) and a high Tg.

Weuts 2005, ref 23 ·

Gap → this paperFew studies had looked at amorphous organic salts: can the counterion be used to tune their Tg, and which counterion properties matter?
More detail

What was already known. The introduction builds these points:

  • Poor solubility is common. High-throughput discovery yields many poorly soluble compounds; solubility and dissolution can be improved by particle size, salt formation for ionizable molecules, metastable polymorphs, amorphous forms or cocrystals. (Lipinski 2000, ref 1; Berge 1977, ref 4; refs 3, 5–7)
  • Amorphous forms are a double-edged tool. They often improve solubility and dissolution, but tend to be hygroscopic, have poor mechanical properties and poor chemical and physical stability, and may crystallize, especially in wet processing where dissolution creates supersaturation. (Singhal 2004, ref 8; Hancock 2002, ref 9; Hancock 1997, ref 10)
  • Amorphous material appears by accident. Small amounts formed during lyophilization, milling or spray drying can have a large effect on bulk properties. (Ahlneck 1990, ref 11)
  • Interest is rising, but salts are neglected. Amorphous forms can raise apparent solubility by supersaturation, particularly when stabilized by a polymer in a solid dispersion, yet few studies had probed amorphous pharmaceutical salts, and the role of the counterion had received little attention although salt selection is routine for crystals. (Kaushal 2004, ref 12; refs 13–18)
  • Indomethacin salts. Amorphous sodium indomethacin has a much higher Tg than amorphous indomethacin (Tong 1999, ref 19). With several alkali-metal cations, Tg fell systematically from lithium to cesium and the neutral form was lowest; this was attributed to a stronger electrostatic interaction of smaller ions with the carboxylate, which lowers molecular mobility (Tong 2002, ref 20). Comparable effects are known for inorganic salts (refs 21, 22).
  • Salt formation with a polymer. Salt formation between ionized loperamide and the carboxylate of poly(acrylic acid) was cited as a cause of a high Tg in that dispersion (Weuts 2005, ref 23). From these reports the authors infer that "it appears" salt formation will increase Tg relative to the neutral form. ·
  • A modelling route. Partial least squares (PLS) had been used to relate molecular descriptors to a property in QSAR studies. (Sjostrom 1983, ref 24; Wold 1983, ref 25; refs 26–28)

What the paper set out to do. The main objective was to establish whether the solid-state properties of amorphous salts, in particular their Tg, can be changed by changing the counterion. The secondary objective was to relate the properties of the counterion to the resulting Tg, using a PLS approach as in QSAR studies. Propranolol and nicardipine were chosen because both are bases with reasonably high pKa (9.5 and 8.6), so that salt formation "may be likely" with a wide range of acids. ··

02How they approached it

Two basic drugs with a high pKa, so that many acids can protonate them, were each made into salts with up to ten acids spanning counterion pKa −6 to 4.756. One set of acid descriptors was then related to the Tg of both salt series. ·····

Propranololβ-blocker; secondary aminepKa 9.5, MW 259.3; free base Tg −9.3 °C; ten salts. Measured. ·
Nicardipinedihydropyridine; tertiary aminepKa 8.6, MW 479.5; free base Tg 3.2 °C; eight salts with a Tg, plus an acetate in sorption only. Measured. ··
Hydrochlorideinorganic, pKa −6Both drugs; amorphous after freeze-drying for both; in the model. Measured. ·
Sulfateinorganic, pKa −3Nicardipine only; in the model. Measured.
Phosphateinorganic, pKa 1.96Both drugs; removed from the model as an outlier. Measured. ··
Mesylate, tosylate, besylatesulfonates, pKa −1.2, −1.34, 0.7Mesylate and tosylate propranolol only; besylate both, with no Tg for propranolol besylate. Measured. ··
Oxalate, tartrate, citratedi- and tricarboxylic, pKa 1.271, 3.02, 3.128Both drugs; citrate removed from the model. Measured. ····
Benzoate, acetatemonocarboxylic, pKa 4.19, 4.756Never amorphous after freeze-drying; benzoate both drugs, acetate propranolol (Tg) and nicardipine (sorption only). Measured. ···
Maleic and malonic acidsdicarboxylic, pKa 1.92 and 2.826Descriptors listed only; no salt reported. ··

What was done

Experiment

Free base precipitated with NaOH→salt formed in ethanol or acetone with aqueous acid→freeze-dried→DSC for amorphous state; failures melt-quenched.····

↓
Experiment

DSC heat–cool cycles→Tg, ΔCp, Tc, Tm.··

Experiment

Vapor sorption 5–95% RH→weight change at 55 and 75% RH.··

Experiment

Storage at 0% then 79% RH→polarized light microscopy for crystals.·

↓
Model

DFT on single acid molecules→hardness, chemical potential, electrophilicity index.····

↓
Model

PLS2 of salt Tg on counterion descriptors, citrate and phosphate removed→observed against predicted Tg, loading weights.···

More detail

What was done

  1. Free bases. Propranolol and nicardipine hydrochlorides were dissolved in water at 10 mg/mL and the free base precipitated with 5 M NaOH; sodium chloride was washed out with water and the solid filtered and dried. Propranolol came out as a white crystalline powder, nicardipine as a yellow amorphous residue. ··
  2. Salts. Each base was dissolved at 20 mg/mL (propranolol in ethanol, nicardipine in acetone), the acid was added as an aqueous solution at the "required" base:acid molar ratio (not printed; sulfuric acid as a 10% w/v solution), the organic solvent was removed by rotary evaporation, water was added and the volume brought to 5 mL. ·
  3. Freeze-drying. Solutions were frozen at −45 °C for 12 h, dried at 100 mT with the shelf at −30 °C (24 h) and −10 °C (24 h), then dried under vacuum at 5 °C for 12 h and stored over P2O5 at 0% RH. Salt formation was confirmed by Raman spectroscopy (spectra not shown). Salts not amorphous after freeze-drying could be made amorphous by melting and quench cooling (conditions not printed). ··
  4. DSC. About 8 mg in a pinholed pan was screened from −40 to 250 °C at 20 °C/min for Tg, recrystallization and melting (Fig. 1). For Tg, the sample was cycled several times between −40 °C and about 20 °C above Tg at 20 °C/min to erase thermal history and dry it, and Tg was taken from the last heating. ·
  5. Moisture. Vapor sorption ran after a 180 min drying step in 10% RH steps from 5 to 95% RH, with 90 min or a 0.0001% weight change per step; Tables 4 and 5 report the 55 and 75% RH values. Samples were also stored at 0% and then 79% RH and inspected by polarized light microscopy (5 days in the text, 48 h in the captions). ··
  6. Descriptors. General descriptors of 13 acids (ClogP, MW, molar refractivity, polar surface area, volume, pKa, hydrogen-bond donors and acceptors, rotatable bonds, ClogD, flexibility index) are listed in Table 6, with no stated source. Electronic descriptors of 11 acids were calculated with DFT (B3LYP, Gaussian 03) on single, fully optimized molecules. ···
  7. Model. PLS2 (SIMCA-P+ 11.5, NIPALS) related the descriptors to the Tg of the propranolol and nicardipine salts. Citrate and phosphate salts were outliers when all data were used and were removed; the number of components was not printed. ··

Key equations

Hardness (Eq. 1)
η=(∂2E∂N2)v=(∂μ∂N)v≅I−A

How strongly a molecule resists a change in its number of electrons N; approximated by ionization potential I minus electron affinity A. Softness S is its inverse.·

Electronic chemical potential (Eq. 2)
μ=(∂E∂N)v=−I+A2

The slope of the energy with electron number, the negative of the electronegativity.

Electrophilicity index (Eq. 3)
ω=μ22η

Large for a molecule that is electronegative and soft; the authors read it as a tendency to form strong covalent and polarization interactions, and use it as a PLS descriptor.·

Terms used on this page
  • Tg: the glass transition temperature, where an amorphous solid turns from a rigid glass into a mobile, rubbery state. ΔCp is the jump in heat capacity there.
  • Tc: the temperature at which an amorphous sample recrystallizes on heating in the DSC.
  • Counterion pKa: the pKa of the acid that forms the salt; lower means a stronger acid.
  • Deliquescence: a solid takes up so much water that it dissolves in it.
  • PLS (partial least squares): a regression that compresses many correlated descriptors into a few latent components. R² measures fit, Q² cross-validated prediction, RMSEE the fitting error. Loading weights show how each descriptor contributes; a negative value means Tg falls as the descriptor rises.
Table 1: The two basic drugs
Table 1 · p.948 · The two basic drugsShows. structures of propranolol (secondary amine, pKa 9.5) and nicardipine (tertiary amine, pKa 8.6).

03Main findings

1

Every salt has a higher Tg than its free base

Propranolol free base: −9.3 °C; its salts 9.0 (acetate) to 35.9 °C (hydrochloride). Nicardipine free base: 3.2 °C; its salts 28.5 (benzoate) to 81.0 °C (hydrochloride). ·

Table 2: Tg, ΔCp, Tc and Tm of every salt, with Table 3 for nicardipine
Table 2 · p.950 · Tg, ΔCp, Tc and Tm of every salt, with Table 3 for nicardipineShows. every salt above its free base; hydrochloride highest; which salts were amorphous after freeze-drying.Also supports K1
More detail

All nine propranolol salts with a measured Tg and all eight nicardipine salts lie above the free-base line in Figs. 2 and 3. The lowest propranolol salt, the acetate at 9.0 ± 5.6 °C, is clear of the free base at −9.3 ± 4.0 °C; for nicardipine the free-base value is less certain (3.2 ± 9.6 °C), but the lowest salt is at 28.5 ± 3.1 °C. ΔCp at Tg was 0.08–0.65 J/g/°C for the propranolol salts against 0.82 for the free base, and 0.22–1.4 J/g/°C for the nicardipine salts. No Tg could be recorded for propranolol besylate, which was crystalline after lyophilization and recrystallized on cooling from the melt. The authors state the rise without a hedge: Tg was higher "in all instances". ······

2

Tg falls roughly as counterion pKa rises, with exceptions

Hydrochloride (pKa −6) gave the highest Tg for both drugs (35.9 and 81.0 °C), propranolol acetate (pKa 4.756) the lowest (9.0 °C). The relation is not linear: propranolol tosylate (16.7 °C) and phosphate (11.3 °C) sit low, and nicardipine citrate falls to 29.3 °C beside the tartrate at 58.3 °C. ·····

Fig. 2: Tg against counterion pKa, propranolol salts
Fig. 2 · p.950 · Tg against counterion pKa, propranolol saltsShows. a falling, scattered trend; dotted line = free-base Tg (−9.3 °C).Read it as. tosylate (pKa −1.34) and phosphate (1.96) sit below the trend.Also supports K2
Fig. 3: Tg against counterion pKa, nicardipine salts
Fig. 3 · p.950 · Tg against counterion pKa, nicardipine saltsShows. a slow fall from about 81 to 58 °C up to pKa 3.02, then citrate at about 29 °C; line = free-base Tg.Read it as. benzoate (pKa 4.19) is not plotted.Also supports K2
More detail

Propranolol salts, in order of counterion pKa: hydrochloride (−6) 35.9, tosylate (−1.34) 16.7, mesylate (−1.2) 29.2, oxalate (1.271) 31.5, phosphate (1.96) 11.3, tartrate (3.02) 23.4, citrate (3.128) 21.3, benzoate (4.19) 16.7, acetate (4.756) 9.0 °C. Nicardipine salts: hydrochloride (−6) 81.0, sulfate (−3) 77.2, besylate (0.7) 65.8, oxalate (1.271) 71.3, phosphate (1.96) 68.1, tartrate (3.02) 58.3, citrate (3.128) 29.3, benzoate (4.19) 28.5 °C. ·

The authors say that "for the majority" of salts Tg scales with counterion pKa, and that the relation is not linear, especially at high pKa, where "it is likely" that the shape and size of the counterion also matter. · Three details limit the ranking. The text names the acetate as the lowest salt for both drugs, but no nicardipine acetate appears in Table 3. The largest propranolol deviation is the low-pKa tosylate, and nicardipine besylate lies below the oxalate and phosphate. Fig. 3 does not plot nicardipine benzoate. The source of the pKa values is not stated.

3

Amorphization and crystallization depend on counterion and on the kind of stress

Of 20 salts, 11 were amorphous after freeze-drying: hydrochloride, phosphate and tartrate always, benzoate and acetate never. On heating, four propranolol salts recrystallized (Tc 46.5–105.4 °C; free base 31.2 °C) and no nicardipine salt did. At 79% RH propranolol hydrochloride and tosylate crystallized; the tartrate looked deliquesced. ·····

Fig. 5: Propranolol tosylate before and after 79% RH
Fig. 5 · p.952 · Propranolol tosylate before and after 79% RHShows. irregular amorphous particles (a) turn into needle and plate crystals (b).Also supports K6
More detail

Freeze-drying. Approximately half of the salts were amorphous after freeze-drying (11 of 20). Five of ten propranolol salts (hydrochloride, mesylate, oxalate, phosphate, tartrate) and six of eight nicardipine salts in Table 3 (all but oxalate and benzoate) were amorphous. Only 19 salts can be identified in the tables. ····

Heating. Propranolol hydrochloride (Tc 105.4 °C), besylate (46.5 °C), tartrate (80.1 °C) and acetate (78.4 °C) recrystallized in the DSC, against 31.2 °C for the free base; Fig. 1 shows the hydrochloride's Tg step, recrystallization exotherm and melting endotherm (about 164 °C). No nicardipine salt recrystallized on heating. The authors write that Tc scales with counterion pKa, hydrochloride highest and acetate lowest, but the besylate's Tc of 46.5 °C is lower than the acetate's. ·····

Moisture. During vapor sorption, propranolol hydrochloride, tosylate and tartrate gained and then lost weight, which the authors read as crystallization; no nicardipine salt did. After storage at 79% RH, propranolol hydrochloride and tosylate had crystallized (needles and plates in Fig. 5), whereas the tartrate showed no crystals, and its large water uptake after the event at 25% RH "may indicate" deliquescence (Fig. 6). ······

The authors summarize that propranolol salts were overall more prone to crystallize than nicardipine salts, that the effect depended on the stress (freeze-drying, heating, moisture), and that no single salt crystallized under all three. They also list the tartrate as crystallizing on moisture exposure, which their own storage test did not confirm. ··

Fig. 1: DSC trace of propranolol hydrochloride
Fig. 1 · p.949 · DSC trace of propranolol hydrochlorideShows. (a) Tg step, (b) recrystallization exotherm, (c) melting endotherm.
Fig. 6: Propranolol tartrate before and after 79% RH
Fig. 6 · p.952 · Propranolol tartrate before and after 79% RHShows. no faceted crystals after storage; rounded domains read as deliquescence.Also supports K6
4

Moisture uptake varies widely with counterion, with no pKa link

At 75% RH propranolol salts gained 0.39% (tosylate) to 61.90% (acetate) and nicardipine salts 4.2% (oxalate) to 12.4% (besylate). The authors see no link to counterion pKa. ···

Table 4: Weight change at 55 and 75% RH, with Table 5 for nicardipine
Table 4 · p.951 · Weight change at 55 and 75% RH, with Table 5 for nicardipineShows. uptake from below 1% to over 60% depending on the counterion.Also supports K5
More detail

Weight gain at 55 / 75% RH, propranolol: hydrochloride 2.20 / 1.80, tosylate 0.34 / 0.39, mesylate 4.00 / 23.50, besylate 0.50 / 11.10, oxalate 0.30 / 0.50, phosphate 16.50 / 21.30, tartrate 1.20 / 5.34, citrate 8.50 / 13.10, acetate 28.10 / 61.90, crystalline free base 0.023 / 2.54%. Nicardipine: hydrochloride 2.9 / 5.6, besylate 5.2 / 12.4, oxalate 2.3 / 4.2, tartrate 3.4 / 5.2, citrate 5.4 / 7.8, benzoate 0.8 / 5.7, acetate 5.2 / 8.8, amorphous free base 0.800 / 2.890%. ·

The authors call many of the salts "extremely hygroscopic", note that nicardipine salts "in general" took up less water than propranolol salts, and find "no apparent link" to counterion pKa; crystallization during sorption complicates the comparison. ·· The full profile is shown only for propranolol hydrochloride: uptake rose to about 2.5% at 45% RH, fell to about 1.7% at 95% RH, and about 1.3% remained after desorption to 5% RH. · Several salts in Tables 4 and 5 were not amorphous after freeze-drying, and how they were prepared for sorption is not stated.

Fig. 4: Moisture sorption profile of propranolol hydrochloride
Fig. 4 · p.951 · Moisture sorption profile of propranolol hydrochlorideShows. uptake peaks at about 2.5% at 45% RH, then falls; empty circles sorption, filled desorption.Read it as. the fall is read as recrystallization.
5

A PLS model on counterion descriptors fits Tg within 3–4 °C

With citrate and phosphate removed as outliers, the PLS2 model gave R² 0.909 and Q² 0.668; RMSEE was 3.8 °C for propranolol and 3.4 °C for nicardipine salts. ···

Fig. 7: Observed against predicted Tg, propranolol salts
Fig. 7 · p.954 · Observed against predicted Tg, propranolol saltsShows. seven salts around the identity line; chloride, benzoate and acetate deviate most.Also supports K3
More detail

When all salts were included, citrate and phosphate were outliers, "probably" because of their trivalent character; without them the authors found "good correlations" and call the predictability "adequate". ·· The fitted salts are seven propranolol salts (chloride, oxalate, mesylate, tartrate, tosylate, benzoate, acetate; Fig. 7) and five nicardipine salts (chloride, sulphate, oxalate, besylate, tartrate; Fig. 8). The largest misfits, read from the plots, are propranolol chloride (observed about 36 against predicted about 31.5 °C), benzoate (about 16.7 against 12.2) and acetate (about 9 against 12.8), and nicardipine chloride (about 81 against 85) and tartrate (about 58 against 61). · Nicardipine benzoate is absent from the model without explanation, the number of components is not printed, and about 17 descriptors were available for 12 salts. ·

Fig. 8: Observed against predicted Tg, nicardipine salts
Fig. 8 · p.954 · Observed against predicted Tg, nicardipine saltsShows. five salts around the identity line; chloride deviates most.Also supports K3
6

pKa, chemical potential and electrophilicity weigh most

Counterion pKa weighed against Tg for both drugs (−0.42 propranolol, −0.26 nicardipine). For propranolol, ω (0.52), μ (−0.46) and log D (−0.47) led; for nicardipine, μ (−0.30) and I (0.29). ··

Fig. 9: PLS2 loading weights
Fig. 9 · p.954 · PLS2 loading weightsShows. descriptor weights (blue) and the two Tg responses (red); ω and E lie toward Tg propranolol, μ, pKa1 and logD opposite.Also supports K4
More detail

The relative importance of each descriptor is its loading-weight distance along the regression direction of each Tg (Fig. 9). Nicardipine salt Tg depends primarily on μ (−0.30) and I (0.29), and to some degree on volume (−0.26), pKa (−0.26) and rotatable bonds (−0.25). Propranolol salt Tg depends mainly on ω (0.52), μ (−0.46) and log D (−0.47), and to some degree on pKa (−0.42) and electron affinity E (0.39). A negative value means Tg falls as the descriptor rises, so a higher counterion pKa "should" lower the salt Tg. ·· The authors read this as confirming that many counterion properties "appear to contribute"; ω, μ and pKa "can be related to" the strength of the acid–base interaction, while the others are "less intuitive". · The electrophilicity index, named in the abstract and conclusions, is among the listed main factors only for propranolol.

04Further observations

  • ΔCp at Tg spans 0.08–0.65 J/g/°C for propranolol salts and 0.22–1.4 J/g/°C for nicardipine salts. ·
  • The precipitated nicardipine free base was amorphous, the propranolol free base crystalline. ·
  • The DFT descriptors span ω 0.982 eV (acetic acid) to 1.737 eV (sulfuric acid).
  • Propranolol hydrochloride shows Tg, recrystallization and melting in one DSC heating.
More detail
  • Heat capacity jumps. ΔCp ranged from 0.08 (benzoate) to 0.65 J/g/°C (tartrate) for propranolol salts, 0.82 for the propranolol free base, and from 0.22 (oxalate) to 1.4 J/g/°C (benzoate) for nicardipine salts; no ΔCp is printed for the nicardipine free base. ·
  • Free bases. Precipitation gave propranolol as a white crystalline powder and nicardipine as a yellow amorphous residue. The propranolol free base recrystallized at 31.2 °C and melted at 85.7 °C; the nicardipine free base melted at 134.81 °C. ···
  • Electronic descriptors. Hardness ranged from 8.817 eV (toluenesulfonic acid) to 13.251 eV (hydrochloric acid), μ from −6.139 to −4.713 eV, and ω from 0.982 eV (acetic acid) to 1.737 eV (sulfuric acid); every printed η, μ, ω and S follows from the printed I and E. ····
  • DSC trace. For propranolol hydrochloride, the Tg step lies at about 30–37 °C, the recrystallization exotherm peaks at about 111–116 °C and the melting endotherm at about 164 °C; the table gives Tc 105.4 and Tm 161.6 °C, and the paper does not say whether these are onset or peak values. ··
  • Unused acids and misprints. Table 6 also lists maleic and malonic acids, for which no salt is reported, and its malonic and tartaric rows are shifted by one column. ···

05How the authors connect the findings

1Salt formation adds an ionic interaction between the protonated base and the counterion; for salts this is taken to outweigh hydrogen bonding. ·
↓
2The stronger the interaction between molecules, the more thermal energy is needed for mobility, so Tg rises.
↓
3The counterion sets the interaction strength: a stronger acid (low pKa) with a high electrophilicity index binds more strongly and gives the highest Tg. ··
↓
4Counterion size, shape and packing add to this, so the ranking is not linear. ·
What sets the Tg level. Counterion pKa and the electronic descriptors of the acid, read as acid–base interaction strength (authors: "can be related to").
Conclusion drawn. "Broadly speaking, a good approximation" is that low-pKa (and high electrophilicity index) counterions give the highest Tg.
More detail
  1. Tg rises with the strength of intermolecular interactions, because more thermal energy is needed to reach the mobility of the transition; the authors take this from polymer work (Eisenberg) and expect it to hold for small molecules, alongside free-volume and packing effects.
  2. Conceptual DFT splits an intermolecular interaction into an electrostatic part, dominant for ionic and hard molecules, and covalent and polarization parts, dominant for soft molecules. For salts, ionic interactions "will be of greater importance" than the hydrogen bonding and nonspecific forces that matter for neutral glasses, as the indomethacin salts showed. ··
  3. Intrinsic electronic descriptors of the isolated molecules (hardness, softness, chemical potential, electrophilicity index) "are believed" to capture how strongly a molecule tends to interact.
  4. The authors "believe" that the Tg of the amorphous salts is "strongly affected" by the acid–base interaction, and use the descriptors to look for correlations that support this. The PLS model gives negative weights to pKa and μ and positive weights to ω (propranolol) and I (nicardipine); ω, μ and pKa are "not unexpected" and "can be related to" the interaction strength. ··
  5. Other weighted descriptors (log D, volume, rotatable bonds, electron affinity) are "less intuitive", and counterion size and shape are "likely" to explain why the pKa ranking is not linear. Citrate and phosphate do not fit, "probably" because of their trivalent character. ··

What sets the Tg level. In the authors' account, the acid–base interaction strength, indexed by counterion pKa, μ and ω. ·

Conclusion drawn. Tg increases over the free base "can be related to a number of factors", and "Broadly speaking, a good approximation" is that low-pKa (and high electrophilicity index) counterions give the highest Tg.

06What it means for formulation

Stated by the authors
  • Amorphous salts may be worth making, for example for a lyophilized product.
  • In future it "may be possible" to choose a counterion to engineer amorphous properties.
AI reading, not stated in the paper
  • For an amorphous salt, a strong-acid counterion such as chloride gave the highest Tg in both series.
  • A high Tg did not prevent crystallization, and moisture uptake did not follow pKa or Tg.
More detail
Stated by the authors
  • Combining salt formation and amorphization "may be desirable" in some cases, for example when a lyophilized product is required; amorphous material can also be present in a crystalline salt after production or processing.
  • Tg is "probably" one of the most important properties of an amorphous solid, because storage temperature relative to Tg affects physical and chemical stability and mechanical properties.
  • As with crystalline salts, the counterion affects amorphous properties, so that in future it "may be possible to select a counterion to impart required properties".
AI reading, not stated in the paper
  • In both series the strong-acid chloride gave the highest Tg and a weak carboxylic acid the lowest (propranolol acetate, nicardipine benzoate); benzoate and acetate salts did not form an amorphous solid by freeze-drying.
  • A high Tg was no guard against crystallization: propranolol hydrochloride, the highest-Tg propranolol salt, crystallized both on heating and at 79% RH.
  • Moisture uptake spanned more than two orders of magnitude with no link to pKa or Tg, so it needs its own screen; propranolol acetate, mesylate and phosphate took up over 20% water at 75% RH.
  • The descriptor model rests on 12 salts of two bases; it shows which properties go with Tg in this set rather than a tool to predict a new salt.

07Open questions

Raised by the authors
  • What controls the crystallization tendency of amorphous salts?
  • Why do less intuitive descriptors such as log D or volume influence Tg?
Not covered by this paper (AI reading)
  • Salt stoichiometry and the degree of ionization in the amorphous solid were not reported.
  • The model was not tested on salts outside the 12 used to build it. ·
More detail
Raised by the authors
  • More work is needed to understand the factors that set the crystallization tendency of amorphous salts.
  • The influence of descriptors other than ω, μ and pKa needs further investigation.
  • Moisture sorption differences "cannot be linked" to any property they could calculate for the counterions.
Not covered by this paper (AI reading)
  • The base:acid ratio and the ionization state in the amorphous salts were not reported, although the outlier explanation for citrate and phosphate depends on them. ·
  • The acid–base interaction that carries the explanation was not measured, for example by spectroscopy of the amorphous salts.
  • The model was built on 12 salts with about 17 descriptors and was not tested on new salts; nicardipine benzoate was left out without a reason. ·
  • Only two bases were studied, both amines, and no polymer dispersion of a salt was examined.

08How solid

AI assessment, not a statement made in the paper
Moderate

The Tg rise over the free base is measured directly and large. The pKa ranking has clear exceptions, the model rests on 12 salts with several unstated choices, and several text statements disagree with the tables. ······

More detail
What holds
  • Tg was measured for 17 salts of two drugs, and every salt lies well above its free base. ·
  • In both series the hydrochloride gave the highest Tg and weak carboxylic acids the lowest. ·
  • The printed DFT descriptors follow exactly from eqs 1–3. ··
  • The printed RMSEE values are consistent with the observed and predicted Tg values plotted in Figs. 7–8.
What weakens it
  • The PLS model uses 12 salts, two outliers were removed and a third salt is missing without explanation; the number of components and the descriptors retained are not printed. ·
  • Several salts break the pKa ranking.
  • Text and tables disagree on the salt count, the lowest-Tg nicardipine salt, the Tc ranking and the storage time. ···
  • Salt stoichiometry, the Tg convention and n are not reported, and some standard deviations are large. ··
  • Table 6, an input to the model, has shifted rows.
  • The state of several sorption samples is unclear, and the tartrate's crystallization at high humidity is not confirmed. ·

09Figure guide

Every figure and table of the paper, what it is there for, and what to check on the original. Key figures are shown with the story.

FigureWhat it does in the paperSupportsCheck (AI note)
Table 1 (p.948)key figureDefines the two basic drugs, their pKa and MW.·0.2
Fig. 1 (p.949)key figureShows how Tg, recrystallization and melting were read from one DSC trace of propranolol hydrochloride.F3Peak positions lie above the tabulated Tc and Tm; convention not stated.
Table 2 (p.950)key figureThe core propranolol data: Tg, ΔCp, Tc, Tm and amorphous state for ten salts and the free base.F1, F2, F3Besylate Tc 46.5 °C breaks the stated Tc ranking.
Table 3 (p.950)The core nicardipine data for eight salts and the free base.F1, F2No acetate, though the text names it lowest.
Fig. 2 (p.950)key figurePlots Table 2 Tg against counterion pKa, with the free base as a dotted line.F2, K2Tosylate and phosphate break the order.
Fig. 3 (p.950)key figurePlots Table 3 Tg against counterion pKa.F2, K2Benzoate not plotted.
Table 4 (p.951)key figureWeight gain of propranolol salts and crystalline free base at 55 and 75% RH.F4, K5Several "amorphous" salts were not amorphous after freeze-drying.
Table 5 (p.951)Weight gain of nicardipine salts and amorphous free base at 55 and 75% RH.F4, K5Acetate present here but absent from Table 3.
Fig. 4 (p.951)key figureThe one full sorption profile: propranolol hydrochloride gains then loses weight.F4
Fig. 5 (p.952)key figureConfirms crystallization of propranolol tosylate at 79% RH.F3, K6Storage 48 h in caption, 5 days in text.
Fig. 6 (p.952)key figureShows propranolol tartrate without crystals after 79% RH, read as deliquescence.F3, K6Contradicts the later statement that the tartrate crystallized in moisture.
Table 6 (p.953)General descriptors of 13 acids, inputs to the PLS model.············F6Malonic and tartaric rows shifted; maleic and malonic acids unused.·
Table 7 (p.954)DFT descriptors of 11 acids, inputs to the PLS model.F6E here is the electron affinity, A in eqs 1–2.
Fig. 7 (p.954)key figureObserved against predicted Tg for seven propranolol salts.F5, K3Components not stated.
Fig. 8 (p.954)key figureObserved against predicted Tg for five nicardipine salts.F5, K3Benzoate missing without reason.
Fig. 9 (p.954)key figureLoading weights that rank the descriptors for each Tg.F6, K4ω is a main factor only for propranolol; several points unlabeled.