pH and Salt-Assisted Macroscopic Chirality Inversion of Gadolinium Coordination Polymer

The precise adjustment of handedness of helical architectures is important to regulate their functions. Macroscopic chirality inversion has been achieved in organic supramolecular systems by pH, metal ions, solvents, chiral and non-chiral additives, temperature, and light, but rarely in coordination polymers (CPs). In particular, salt-assisted macroscopic chirality inversion has not been reported. In this work, we carried out a systematic investigation on the role of pH and salt in regulating the morphology of CPs based on Gd(NO3)3 and R-(1-phenylethylamino)methylphosphonic acid (R-pempH2). Without extra NO3−, the chirality inversion from the left-handed superhelix R-M to the right-handed superhelix R-P can be achieved by pH modulation from 3.2 to 3.8. The addition of NaNO3 (2.0 eq) at pH 3.8 results in an inversion of chiral sense from R-P to R-M as a pure phase. To our knowledge, this is the first example of salt-assisted macroscopic helical inversion in artificial systems.

Salt plays an important role in living systems. Moderate salt intake can alleviate or prevent some diseases and improve body functions [37][38][39]. In addition, salt can alter non-covalent interactions, which may affect the self-assembly process. For example, high concentrations of salt can modulate the strength of electrostatic interactions between charged groups, destroy hydrogen bonds in protein secondary structure, cause changes of the α-helix [40,41] and β-sheet [42,43], or disrupt the structure of DNA, leading to structural changes from Z-DNA to Z'-DNA, or B-DNA to Z-DNA [44]. Various salts can also be used as additives to control the size, morphology, structure of inorganic crystals [45][46][47][48][49]. However, salt has rarely been used to control the morphology and structure of coordination polymers (CPs). The only example was associated with the Er/R, S-pempH 2 [R, changes from Z-DNA to Z'-DNA, or B-DNA to Z-DNA [44]. Various salts can also be used as additives to control the size, morphology, structure of inorganic crystals [45][46][47][48][49]. However, salt has rarely been used to control the morphology and structure of coordination polymers (CPs). The only example was associated with the Er/R, S-pempH2 [R, S-pempH2 = S-(1-phenylethylamino)methylphosphonic acid)] system, where the addition of salt led to a change in the crystal structure from a triple-stranded helix to a quadruple-stranded helix [50]. To our knowledge, salt effect on the morphology and helical sense of chiral CPs has not been documented.
Our previous work has shown that the synergistic effect of pH and anion is crucial for the formation and helical sense of the macroscopic superhelices of the Tb(NO3)3/R, S-pempH2 and GdX3/R, S-pempH2 (X = Cl − , Br − , I − , CH3SO3 − , C6H5SO3 − , CF3SO3 − ) systems [51,52]. The pH can modulate the degree of deprotonation of the phosphonic acid moiety and, thus, the ratio of coexisting different types of chains, while the anion can modulate the interactions between chains and, thus, the formation and chiral sense of the superhelices. Considering the unique structure of the nitrate ion, a triangular-shaped singly charged oxygen anion, it not only can provide interactions through coordination bonds [53][54][55][56], but also act as a three-directional hydrogen receptor that affects the assembly of molecular building blocks [57][58][59][60]. Therefore, we hypothesize that the addition of extra nitrate salt with different concentrations into the Ln(NO3)3/R, S-pempH2 system may tune the interchain non-covalent interactions, disturb the self-assembling environment, and provide a driving force to control the chiral sense of resulting helical products.
In this work, we chose Gd(NO3)3/R-pempH2 and systematically investigated the role of pH and salt in regulating the morphology of the products (Scheme 1). We found that pure phases of blocky crystals of (H3O)[Gd6(R-pempH2)3(R-pempH)15](NO3)4·9H2O (R-Block) were obtained at pH 2.6-2.9, and rod-like crystals of [Gd(R-pempH)3].1.5H2O (R-Rod) at pH 4.2-4.6. When the pH was in between, left-handed superhelices (R-M) appeared as a minor phase at pH 2.9-3.2, while right-handed superhelices (R-P) were isolated as a pure phase at pH 3.6-4.2. Interestingly, the addition of 2.0 eq NaNO3 salt to the reaction mixture at pH = 3.8 leads to the chirality inversion of superhelices from righthanded to left-handed. This is the first example of chirality inversion of helical structures of coordination polymers by changing the concentration of salt.

pH Effect on the Reaction Product
The hydrothermal reaction of a mixture of Gd(NO 3 ) 3 ·6H 2 O and R-pempH 2 (molar ratio 1:5) at 120 • C for 24 h resulted in products with differet morphologies depending on the pH of the reaction mixture (Scheme 2, Figure 1 and Figure S1). We obtained a pure phase of block-like crystals of (H 3 O)[Gd 6 (R-pempH 2 ) 3 (R-pempH) 15 ](NO 3 ) 4 ·9H 2 O (R-Block) at pH 2.6-2.9. When the pH was 3.0-3.2, a mixture of left-handed superhelices (R-M, minor phase) and block-like crystals (R-Block) was observed. When the pH was raised to 3.7-4.2, a pure phase of right-handed superhelices (R-P) was collected. At an even higher pH (4.3-4.6), rod-like crystals of [Gd(R-pempH) 3 ]·2H 2 O (R-Rod) were isolated. It is apparent that pH plays an important role in the self-assembly process and the chirality transcription and amplification of the system. This phenomenon has been previously observed in the Tb(NO 3 ) 3 /R-pempH 2 system [51]. However, the observation of left-handed superhelices of R-M as a minor phase at pH = 3.0-3.2 is unprecedented. To exclude the possible effect of metal ions, we conducted the same reaction but using Tb(NO 3 ) 3 to replace Gd(NO 3 ) 3 . Left-handed superhelices were again obtained as a minor phase ( Figure S2). Noting that the experimental condition such as the filling degree of the autoclave (ca. 53%) is not exactly the same as we used in previous work (>90%), we conducted similar hydrothermal reactions of Gd(NO 3 ) 3 ·6H 2 O and R-pempH 2 but with different filling degrees (30,50,60,70, 90%) at pH 3.2. As shown in Figure S3, the left-handed superhelices of R-M appeared together with R-Block when the filling degree was 30 and 50%, and vanished when the filling degree was 60%. When the filling degree was 70 and 90%, only right-handed superhelices of R-P were obtained. As the filling degree is directly related to the auto-generated pressure inside the autoclave, the above results indicate that pressure also plays an important role in the formation of the superhelices of Gd/R, S-pempH 2 products. When the filling degree is ca. 50%, left-handed superhelices of R-M can form, and the chirality inversion can be achieved by adjusting the pH from 3.0-3.2 to 3.7-4.2.

pH Effect on the Reaction Product
The hydrothermal reaction of a mixture of Gd(NO3)3·6H2O and R-pempH2 (molar ratio 1:5) at 120 °C for 24 h resulted in products with differet morphologies depending on the pH of the reaction mixture (Scheme 2, Figures 1 and S1). We obtained a pure phase of block-like crystals of (H3O)[Gd6(R-pempH2)3(R-pempH)15](NO3)4⋅9H2O (R-Block) at pH 2.6-2.9. When the pH was 3.0-3.2, a mixture of left-handed superhelices (R-M, minor phase) and block-like crystals (R-Block) was observed. When the pH was raised to 3.7-4.2, a pure phase of right-handed superhelices (R-P) was collected. At an even higher pH (4.3-4.6), rod-like crystals of [Gd(R-pempH)3]⋅2H2O (R-Rod) were isolated. It is apparent that pH plays an important role in the self-assembly process and the chirality transcription and amplification of the system. This phenomenon has been previously observed in the Tb(NO3)3/R-pempH2 system [51]. However, the observation of left-handed superhelices of R-M as a minor phase at pH = 3.0-3.2 is unprecedented. To exclude the possible effect of metal ions, we conducted the same reaction but using Tb(NO3)3 to replace Gd(NO3)3. Lefthanded superhelices were again obtained as a minor phase ( Figure S2). Noting that the experimental condition such as the filling degree of the autoclave (ca. 53%) is not exactly the same as we used in previous work (>90%), we conducted similar hydrothermal reactions of Gd(NO3)3·6H2O and R-pempH2 but with different filling degrees (30,50,60,70, 90%) at pH 3.2. As shown in Figure S3, the left-handed superhelices of R-M appeared together with R-Block when the filling degree was 30 and 50%, and vanished when the filling degree was 60%. When the filling degree was 70 and 90%, only right-handed superhelices of R-P were obtained. As the filling degree is directly related to the auto-generated pressure inside the autoclave, the above results indicate that pressure also plays an important role in the formation of the superhelices of Gd/R, S-pempH2 products. When the filling degree is ca. 50%, left-handed superhelices of R-M can form, and the chirality inversion can be achieved by adjusting the pH from 3.0-3.2 to 3.7-4.2.

Structures of R-Block and R-Rod
Structural analyses showed that R-Block and R-Rod are isostructural to their Tb analogues [51]. R-Block crystallizes in the monoclinic system, with chiral space group P21. The asymmetric unit contains three Gd 3+ , three R-pempH2, fifteen R-pempH − , four NO3 −

Structures of R-Block and R-Rod
Structural analyses showed that R-Block and R-Rod are isostructural to their Tb analogues [51]. R-Block crystallizes in the monoclinic system, with chiral space group P2 1 . The asymmetric unit contains three Gd 3+ , three R-pempH 2 , fifteen R-pempH − , four NO 3 − anions, one H 3 O + and eleven lattice water molecules (Table S1 and Figure S6). There are two kinds of positively charged chains in the structure. Chain I has the composition [Gd 3 (R-pempH 2 ) 2 (R-pempH) 7 ] 2+ , where three distinct Gd atoms, two different R-pempH 2 and seven different R-pempH − are found. Each Gd atom is eight-coordinated by oxygen atoms from the phosphonate groups. The Gd-O bond lengths lie in the range 2.310(5)-2.631(5) Å, and the O-Gd-O bond angles are 58.6(2)-157.4(2) • (Table S2). The amino groups in the ligands are all protonated, while the phosphonate groups in the two R-pempH 2 ligands are singly protonated at O18 and O27, but those in the seven R-pempH − ligands are fully deprotonated. The Gd atoms are triply bridged by one O-P-O and two

Figure 2.
A fragment of the chain structure in R-Block and R-Rod. Left: Ball and stick representation with atomic labelling. All C and N atoms are omitted for clarity. Right: Space filling representation showing left-handed triple strands in the structure. The pitch and diameter of each helical chain are also given. The structure of R-Rod is adapted from ref. [52]. Chain II has the composition [Gd3(R-pempH2)( R-pempH)7] + which contains one less R-pempH2 than Chain I. In addition, one of the three Gd atoms (Gd4) in Chain II is sevencoordinated and the other two (Gd5, Gd6) are eight-coordinated, unlike Chain I in which all Gd atoms are eight-coordinated. As a result, the Gd atoms in Chain II are bridged by one O-P-O and two μ3-O(P) units forming a trimer, and then the trimers are further linked by two O-P-O and one μ3-O(P) units forming a triple-stranded infinite chain ( Figure 2). Again, the phosphonate group in R-pempH2 is singly protonated at O30 and is involved in hydrogen bonding with the nitrate anion. Compared to Chain I, the pitch of Chain II (24.21 Å) is the same, but the diameter (17.91 Å) is smaller ( Figure 2).
The positively charged Chains I and II are stacked in the lattice. Between the chains, there are four crystallographically different NO3 − anions and one H3O + to balance the charge, as well as lattice water molecules. Therefore, an extensive hydrogen bonding The positively charged Chains I and II are stacked in the lattice. Between the chains, there are four crystallographically different NO 3 − anions and one H 3 O + to balance the charge, as well as lattice water molecules. Therefore, an extensive hydrogen bonding network is found among the phosphonate oxygen atoms, the amino groups, the NO 3 − anions, and the water molecules ( Figure 3a). The shortest interchain distance is 15.334 Å ( Figure S7).
The structure of compound R-Rod was previously reported [52]. It crystallizes in the hexagonal systems, chiral group P6 5 , and has a general formula of [Gd(R-pempH) 3

Characterization of Superhelices R-M and R-P
Since superhelix R-M was obtained as a minor phase together with block-like crystals, we collected the sample by manual separation, while R-P was obtained as a pure phase at pH 3.8. To determine the composition of R-M and R-P, we performed energy dispersive Xray spectroscopy (EDS), thermogravemetic (TG) ananlysis and elemental analysis. The EDS measurements revealed a molar ratio of Gd:P = 1:3 in both cases ( Figure S8). By combining with the TG and elemental analysis results ( Figure S9, Noting that the chemical composition of R-P is similar to that of R-Rod and that both products are obtained at very similar pH conditions, we envisage that the structure of R-P is closely related to that of R-Rod. Indeed, the PXRD patterns of both are very similar except that the peaks on the R-P pattern are all shifted to the left (Figure 4a). The result suggests that R-P has a similar structure to R-Rod, but with an enlarged unit cell volume. This is reasonable because the chain stacking in the superhelix R-P may be looser than that in the crystal R-Rod. To obtain the cell parameters of R-P, we indexed the diffraction peaks of R-P and R-Rod using TOPAS 5.0 [61], yielding the parameters: space group P6 5 , a = 16.34 Å, c = 24.40 Å, V = 5641.98 Å 3 for R-P; and P6 5 , 15.86 Å, c = 24.23 Å, V = 5298.37 Å 3 for R-Rod ( Figure S10). Compared to R-Rod, the cell volume of R-P is expanded by ca. 343 Å 3 (5641.98 Å 3 vs. 5298.37 Å 3 in R-Rod).  Although the PXRD patterns of R-P and R-Rod are slightly different, their infred (IR) spectra are identical (Figure 4b). Both show a series of peaks between 900 and 1200 cm −1 , assigned to the ν(P-O) stretching vibrations. The solid-state circular dichroism (CD) spectra are also identical, and both exhibit a negative Cotton effect at 262 nm (Figure 4c), attributed to the π-π* transitions of the chiral phosphonate ligand [62]. These results corroborate the structural similarity and chiral nature of R-P and R-Rod at the molecular level. Strong evidence to distinguish the difference between R-P and R-Rod is their vibrational circular dichroism (VCD) spectra. As shown in Figure 4d, R-P exhibits a strong negative VCD signal at 1014 cm −1 and three weak positive VCD signals near 1048, 1030, and 990 cm −1 . In contrast, the peak at 1014 cm −1 is absent in the VCD spectrum of R-Rod. Clearly, the helical morphology of R-P is reflected by its VCD spectrum.
Unlike R-P, the left-handed superhelix R-M was obtained at a lower pH and its formula contains 0.3 NO3 − anions per Gd. The IR spectrum of R-M is similar to that of R-P except for the enhanced intensity of the peak at 1385 cm −1 , attributed to the stretching vibration of the un-coordinated NO3 − (Figure 4b). The results suggest that the phosphonate groups in R-M are partially protonated, forming positively charged chains which are balanced by nitrate anions. The intercalation of nitrate anions may increase the interchain distance and expand the cell volume. This is confirmed by the PXRD measurements. Compared to R-P, R-M shows an identical PXRD pattern, but the diffraction peaks are all leftshifted (Figure 4a Figure S10). The c-axis is significantly enlongated, which can be explained by the possible symmetry reduction of the chain structure due to the incorporation of nitrate anions. The CD spectrum of R-M is similar to that of R-P (Figure 4c), in agreement with the existence of the same chiral ligand in the two materials. Interestingly, the VCD profile of R-M is almost a mirror of that of R-P, where a positive signal was found near 1014 cm −1 and three weak negative signals near 1048, 1030 and 990 cm −1 (Figure 4d). This result is consistent with their macroscopic helix structure, i.e., the R-P superhelix is right-handed, while the R-M superhelix is left-handed. Although the PXRD patterns of R-P and R-Rod are slightly different, their infred (IR) spectra are identical (Figure 4b). Both show a series of peaks between 900 and 1200 cm −1 , assigned to the ν(P-O) stretching vibrations. The solid-state circular dichroism (CD) spectra are also identical, and both exhibit a negative Cotton effect at 262 nm (Figure 4c), attributed to the π-π* transitions of the chiral phosphonate ligand [62]. These results corroborate the structural similarity and chiral nature of R-P and R-Rod at the molecular level. Strong evidence to distinguish the difference between R-P and R-Rod is their vibrational circular dichroism (VCD) spectra. As shown in Figure 4d, R-P exhibits a strong negative VCD signal at 1014 cm −1 and three weak positive VCD signals near 1048, 1030, and 990 cm −1 . In contrast, the peak at 1014 cm −1 is absent in the VCD spectrum of R-Rod. Clearly, the helical morphology of R-P is reflected by its VCD spectrum.
Unlike R-P, the left-handed superhelix R-M was obtained at a lower pH and its formula contains 0.3 NO 3 − anions per Gd. The IR spectrum of R-M is similar to that of R-P except for the enhanced intensity of the peak at 1385 cm −1 , attributed to the stretching vibration of the un-coordinated NO 3 − (Figure 4b). The results suggest that the phosphonate groups in R-M are partially protonated, forming positively charged chains which are balanced by nitrate anions. The intercalation of nitrate anions may increase the interchain distance and expand the cell volume. This is confirmed by the PXRD measurements.  Figure S10). The c-axis is significantly enlongated, which can be explained by the possible symmetry reduction of the chain structure due to the incorporation of nitrate anions. The CD spectrum of R-M is similar to that of R-P (Figure 4c), in agreement with the existence of the same chiral ligand in the two materials. Interestingly, the VCD profile of R-M is almost a mirror of that of R-P, where a positive signal was found near 1014 cm −1 and three weak negative signals near 1048, 1030 and 990 cm −1 (Figure 4d). This result is consistent with their macroscopic helix structure, i.e., the R-P superhelix is right-handed, while the R-M superhelix is left-handed.
The formation of the R-M and R-P superhelices with similar chemical composition and structure but opposite handedness demonstrates that helical inversion may be achieved for the Gd(NO 3 ) 3 /R-pempH 2 system by adjusting the pH of the reaction mixture. When the pH is low, the phosphonate groups are partially protonated resulting in positively charged chains. The incorporation of a suitable amount of nitrate anions may affect the chain packing in the lattice and, thus, the formation of left-handed superhelix R-M. A slight increase in the pH leads to the deprotonation of the phosphonate groups and the decrease in the amount of nitrate anions. As a result, right-handed superhelix R-P is obtained in order to maximize the van der Waals contacts. The same phenomenon was previously observed for the GdX 3 /R-pempH 2 (X = I, CF 3 SO 3 − ) system [52]. Noting that R-M appeared as a minor phase at pH 3.2, we envisage whether it is possible to isolate a pure phase of R-M and accomplish chirality inversion through a combined effect of pH and salt.

Salt Effect on the Chirality Inversion of Superhelices
We first investigated the effect of additional NaNO 3 on the product of the Gd(NO 3 ) 3 /R-pempH 2 reaction mixture. The above-mentioned results have shown that a pure phase of right-handed superhelix R-P can be obtained at pH 3.8 without the addition of extra NaNO 3 . By keeping the initial pH at 3.8, we conducted similar hydrothermal reactions of Gd(NO 3 ) 3 /R-pempH 2 at 120 • C for 24 h, but with the addition of different amounts of NaNO 3 . As shown in Figure 5 and Figure S11, right-handed superhelices dominated when the added NaNO 3 was below 0.8 eq (vs. Gd(NO 3 ) 3 ). When the amount of NaNO 3 was 1.2 eq, left-handed superhelices emerged together with nanofibers without clear helicity. When the amount of NaNO 3 was further increased to 2.0-3.0 eq, a pure phase of left-handed superhelix (named as R-M') was collected. When the amount of NaNO 3 was above 4.0 eq, block-like crystals R-Block were obtained together with R-M'. It is clear that chirality inversion of the Gd(NO 3 ) 3 /R-pempH 2 system can be achieved by controlling the amount of extra NaNO 3 salt at pH 3.8. The formation of the R-M and R-P superhelices with similar chemical composition and structure but opposite handedness demonstrates that helical inversion may be achieved for the Gd(NO3)3/R-pempH2 system by adjusting the pH of the reaction mixture. When the pH is low, the phosphonate groups are partially protonated resulting in positively charged chains. The incorporation of a suitable amount of nitrate anions may affect the chain packing in the lattice and, thus, the formation of left-handed superhelix R-M. A slight increase in the pH leads to the deprotonation of the phosphonate groups and the decrease in the amount of nitrate anions. As a result, right-handed superhelix R-P is obtained in order to maximize the van der Waals contacts. The same phenomenon was previously observed for the GdX3/R-pempH2 (X = I, CF3SO3 − ) system [52]. Noting that R-M appeared as a minor phase at pH 3.2, we envisage whether it is possible to isolate a pure phase of R-M and accomplish chirality inversion through a combined effect of pH and salt.

Salt Effect on the Chirality Inversion of Superhelices
We first investigated the effect of additional NaNO3 on the product of the Gd(NO3)3/R-pempH2 reaction mixture. The above-mentioned results have shown that a pure phase of right-handed superhelix R-P can be obtained at pH 3.8 without the addition of extra NaNO3. By keeping the initial pH at 3.8, we conducted similar hydrothermal reactions of Gd(NO3)3/R-pempH2 at 120 °C for 24 h, but with the addition of different amounts of NaNO3. As shown in Figures 5 and S11, right-handed superhelices dominated when the added NaNO3 was below 0.8 eq (vs. Gd(NO3)3). When the amount of NaNO3 was 1.2 eq, left-handed superhelices emerged together with nanofibers without clear helicity. When the amount of NaNO3 was further increased to 2.0-3.0 eq, a pure phase of left-handed superhelix (named as R-M') was collected. When the amount of NaNO3 was above 4.0 eq, block-like crystals R-Block were obtained together with R-M'. It is clear that chirality inversion of the Gd(NO3)3/R-pempH2 system can be achieved by controlling the amount of extra NaNO3 salt at pH 3.8. Except for the morphology change, the salt-induced chirality inversion from R-P to R-M' was accompanied by other changes. The C:N molar ratio decreased from 8.9:1 to 7.8:1 when adding 0.0-2.0 eq NaNO3 (Table S1), suggesting the incorporation of nitrate anions. This is confirmed by the IR spectra which show an increase in peak intensity at 1385 cm −1 ( Figure S12). The PXRD patterns showed a slight left-shift of the peaks ( Figure  S13). Although the CD spectra remained similar ( Figure S14), a significant change was observed in the VCD spectra ( Figure S15). With 0.0 eq NaNO3, we obtained R-P which Except for the morphology change, the salt-induced chirality inversion from R-P to R-M' was accompanied by other changes. The C:N molar ratio decreased from 8.9:1 to 7.8:1 when adding 0.0-2.0 eq NaNO 3 (Table S1), suggesting the incorporation of nitrate anions. This is confirmed by the IR spectra which show an increase in peak intensity at 1385 cm −1 ( Figure S12). The PXRD patterns showed a slight left-shift of the peaks ( Figure S13). Although the CD spectra remained similar ( Figure S14), a significant change was observed in the VCD spectra ( Figure S15). With 0.0 eq NaNO 3 , we obtained R-P which exhibits a strong negative VCD signal at ca. 1014 cm −1 . This peak intensity was reduced for the product with 0.4 eq NaNO 3 . Interestingly, the sign of this signal became opposite with 0.8 eq NaNO 3 , and the intensity increased for the products with increasing amount of NaNO 3 .
To examine whether R-M' is the same as R-M, we characterized the products by different techniques. Both the IR spectrum and PXRD pattern of R-M' are identical to those of R-M (Figures S16 and S17) Figure S19 and Table S3), in agreement with that for R-M. In addition, both CD and VCD profiles of R-M' coincide with those of R-M (Figures S20 and S21). Based on these results, we conclude that R-M' is the same as R-M, both in composition and chiral structure.
We next questioned whether the cation or the anion in the added NaNO 3 salt plays a key role in the chirality inversion of the Gd(NO 3 ) 3 /R-pempH 2 reaction product. We conducted the same reactions at pH 3.8, but with adding different salts of Ba(NO 3 ) 2 , KNO 3 and NaNO 3 (2.0 eq NO 3 − ). In all cases, we obtained the same product R-M ( Figures S22-S25), indicating that the cation of salt does not affect the final product. We then conducted the same reactions at pH 3.8, but with the addition of 2.0 eq salts of NaCl, NaBr, NaNO 2 , and Na 2 SO 4 . We obtained a mixture of right-handed superhelix R-P and non-twisted fibers for NaCl and NaBr. For NaNO 2 and Na 2 SO 4 , we obtained unrecognized new phases with of nanoplate and nanoparticle morphologies, respectively ( Figures S26-S28). The results corroborate that it is the nitrate anion of the salt that plays a vital role in directing the chirality inversion from R-P to R-M.
To further evaluate the influence of pH on the reaction product, we performed the same reactions containing an additional 2.0 eq NaNO 3 , except for the pH value. As revealed by the SEM images, left-handed superhelices R-M can be obtained at pH 3.0-3.8 ( Figure S29). At pH 4.0, non-helical fibers were dominant. When the pH was further increased to 4.4, pure right-handed superhelices R-M were obtained. Clearly, with additional salt of NaNO 3 in the reaction mixture, the pH value to obtain R-P is much higher. Therefore, the chiral sense of superhelices can be controlled by both pH and nitrate salt.
To understand the mechanism of salt-induced chirality inversion, we monitored the hydrothermal reaction products of mixtures containing 2.0 eq NaNO 3 at pH 3.8 and 120 • C for different periods of time. When the reaction time was less than 30 min, only nanoparticles appeared on the surface of R-pempH 2 ligand ( Figure S30). The nanoparticles grew with increasing reaction time. At 3 h, nanorods with a diameter of ca. 150 nm and a length of ca. 500 nm were observed, which have a P/Gd ratio of ca. 2.9/1, very close to that for R-M ( Figure S31). After 4 h of reaction, we obtained a pure phase of left-handed superhelix R-M, confirmed by the SEM, EDS, IR, and PXRD measurements (Figures S30-S33). The average width of R-M increased with prolonging the time, from ca. 0.5 µm at 4 h to 2 µm at 12 h. The results indicate that the left-handed superhelix R-M is formed from the very beginning. This means that the nitrate salt is involved in the self-assembly process at the nucleation stage. In general, the role of the nitrate anion can be three-fold. The first is its coordination capability towards metal ions. The second is its ability to form an extensive hydrogen bonding network with phosphonate ligands and water molecules. The third is its ability to adjust the ionic strength of the reaction mixture. Since the nitrate anion is uncoordinated in the present cases, the latter two factors should be more important. The existence of extra nitrate anions may facilitate the H-bonding interaction between the nitrate anions and chains, which, in turn, stabilizes the positively charged chains at relatively high pH in order to keep the overall charge balanced. The tendency to maintain NO 3 − anions in the lattice and meanwhile release protons from phosphonate groups at pH 3.8 may cause a mismatch between the chains, leading to the twisted growth of the chains and the formation of R-M [63]. However, we noticed that R-M appeared as a minor phase when 1.2 eq NaNO 3 was added, and as a pure phase when 2.0-3.0 eq NaNO 3 was added. The concentration of salt is related to the ionic strength of the reaction mixture according to the equation: I = 1/2 ∑ c i z 2 i , where I is the ionic strength, c i is the concentration of various ions, and z i is the number of the charges carried by each ion. Increasing the ionic strength will increase the Debye−Hückel shielding, reduce the electronic attraction between Gd 3+ and pempH − , and improve contact opportunities between Gd 3+ and nitrate anion. Therefore, it is the combined effect of the hydrogen bonding ability of the nitrate anion and the ionic strength that is responsible to the salt-induced chirality inversion of the macroscopic superhelices of the present Gd coordination polymers (Scheme 3).
Molecules 2023, 28, x FOR PEER REVIEW 10 of 14 The concentration of salt is related to the ionic strength of the reaction mixture according to the equation: 1/2 ∑ , where I is the ionic strength, ci is the concentration of various ions, and zi is the number of the charges carried by each ion. Increasing the ionic strength will increase the Debye−Huckel shielding, reduce the electronic attraction between Gd 3+ and pempH − , and improve contact opportunities between Gd 3+ and nitrate anion. Therefore, it is the combined effect of the hydrogen bonding ability of the nitrate anion and the ionic strength that is responsible to the salt-induced chirality inversion of the macroscopic superhelices of the present Gd coordination polymers (Scheme 3). Scheme 3. Salt-assisted macroscopic chirality inversion of Gd coordination polymers.

Conclusions
In summary, we systematically investigated the role of pH and salt in regulating the morphology of the products in a Gd(NO3)3/R-pempH2 system. The products of R-Block, R-M, R-P and R-Rod were obtained via pH and salt modulation. This is because pH determines the deprotonation degree of the ligand, and NO3 − modulates the interchain interaction. Without extra NO3 − , chirality inversion from the left-handed superhelix R-M to the right-handed superhelix R-P can be achieved by pH modulation from 3.2 to 3.8. However, R-M was obtained only as a minor phase. The addition of NaNO3 (2.0 eq) at pH 3.8 results in an inversion of chiral sense from R-P to R-M as a pure phase. The important role nitrate salt plays in the helicity inversion of the present system may originate from the strong ability of the nitrate anion as a hydrogen bonding receptor and the increased ionic strength of the reaction mixture which improved the nitrate-chain interactions. To our knowledge, this is the first example of salt-assisted macroscopic helical inversion in artificial systems. This work provides a new strategy for the design and synthesis of functional coordination polymers with desired macroscopic helicity.

Materials and Physical Measurements
R−(1−phenylethylamino)methylphosphonic acid (R-pempH2) was synthesized according to procedures given in the previous literature [64]. All reagents were purchased from commerical sources without further purification. The morphologies of suprehelices were characterized on a scanning electron microscope (SHIMADZU, SSX-550, Kyoto, Japan) at an acceleration voltage of 5 kV. The UV-Vis spectra of products were recorded on a Perkin Elmer Lambda 950 UV/VIS/NIR spectrometer (Perkin Elmer, Waltham, MA, USA) using powder samples. Elemental analyses were carried out on a PE 240C analyzer (Perkin Elmer, America). Powder X-ray diffraction (PXRD) data were obatined on a Bruker D8 advance diffractometer with Cu-Kα radiation. Fourier infrared spectra were recorded on a Bruker Tensor 27 spectrometer (Bruker, Leipzig, Germany) with pressed KBr pellets in the range 4000-400 cm − 1 . Thermogravimetric (TG) analyses were measured on a Mettler Toledo TGA/DSC instrument(Mettler 5MP/PF7548/MET/400W, Mettler-Toledo, Greifensee, Switzerland) in the range of 30-600 °C under a nitrogen flow (20 mL/min) at a heating rate of 5 °C min −1 . CD spectra of products were recorded on a circular Scheme 3. Salt-assisted macroscopic chirality inversion of Gd coordination polymers.

Conclusions
In summary, we systematically investigated the role of pH and salt in regulating the morphology of the products in a Gd(NO 3 ) 3 /R-pempH 2 system. The products of R-Block, R-M, R-P and R-Rod were obtained via pH and salt modulation. This is because pH determines the deprotonation degree of the ligand, and NO 3 − modulates the interchain interaction. Without extra NO 3 − , chirality inversion from the left-handed superhelix R-M to the right-handed superhelix R-P can be achieved by pH modulation from 3.2 to 3.8. However, R-M was obtained only as a minor phase. The addition of NaNO 3 (2.0 eq) at pH 3.8 results in an inversion of chiral sense from R-P to R-M as a pure phase. The important role nitrate salt plays in the helicity inversion of the present system may originate from the strong ability of the nitrate anion as a hydrogen bonding receptor and the increased ionic strength of the reaction mixture which improved the nitrate-chain interactions. To our knowledge, this is the first example of salt-assisted macroscopic helical inversion in artificial systems. This work provides a new strategy for the design and synthesis of functional coordination polymers with desired macroscopic helicity.

Materials and Physical Measurements
R−(1−phenylethylamino)methylphosphonic acid (R-pempH 2 ) was synthesized according to procedures given in the previous literature [64]. All reagents were purchased from commerical sources without further purification. The morphologies of suprehelices were characterized on a scanning electron microscope (SHIMADZU, SSX-550, Kyoto, Japan) at an acceleration voltage of 5 kV. The UV-Vis spectra of products were recorded on a Perkin Elmer Lambda 950 UV/VIS/NIR spectrometer (Perkin Elmer, Waltham, MA, USA) using powder samples. Elemental analyses were carried out on a PE 240C analyzer (Perkin Elmer, America). Powder X-ray diffraction (PXRD) data were obatined on a Bruker D8 advance diffractometer with Cu-K α radiation. Fourier infrared spectra were recorded on a Bruker Tensor 27 spectrometer (Bruker, Leipzig, Germany) with pressed KBr pellets in the range 4000-400 cm −1 . Thermogravimetric (TG) analyses were measured on a Mettler Toledo TGA/DSC instrument(Mettler 5MP/PF7548/MET/400W, Mettler-Toledo, Greifensee, Switzerland) in the range of 30-600 • C under a nitrogen flow (20 mL/min) at a heating rate of 5 • C min −1 . CD spectra of products were recorded on a circular dichroism spectrophotometer (JASCO, J-810, Tokyo, Japan) at room temperature. VCD spectra were recorded on a Bruker VERTEX 80v Fourier transform infrared spectrometer (Bruker, Germany) equipped with a PMA 50 VCD/IRRAS module (Bruker, Germany).

Synthesis of (H
A mixture of R-pempH 2 (0.1080 g, 0.5 mmol) and Gd(NO 3 ) 3 ·6H 2 O (0.0451 g, 0.1 mmol) was stirred for half an hour in 6 mL H 2 O. Later, the pH was adjusted to 2.9 with 0.5 mol/L NaOH. The glass bottle was then kept in a 15 mL Teflon-lined autoclave, adding 2.0 mL deionized water in the outside of the glass bottle, and heated at 120 • C for 24 h. After cooling to the room temperature, block-shaped colorless crystals of R-Block were obtained, which were washed with deionized water several times and collected. Yield

Synthesis of Gd[(R-pempH) 3 ]·2H 2 O (R-P)
R-P was obtained following a similar procedure except that pH was adjusted to 3.8. A white powder of R-P was obtained, which was washed with deionized water several times and collected. Yield: 18.8% (15.7 mg) based on Gd(NO 3 ) 3 . Elemental analysis (%) calculated for C 27

Single Cryatal X-ray Crystallography
Single crystal data of R-Block were collected on a Bruker APEX DUO (for R-Block) diffractometer using graphite-monochromated Mo Kα radiation, λ = 0.71073 Å. The data were integrated using the Siemens SAINT program [65]. Adsorption corrections were applied. The structure was solved by direct methods and refined on F 2 by full-matrix least-squares using SHELXTL [66]. All non-hydrogen atoms were refined anisotropically. All hydrogen atoms bound to carbon were refined isotropically in riding mode. For R-Block, hydrogen atoms of water molecules were detected via experimental electron density and then refined isotropically with a reasonable restriction of O-H bond distances and H-O-H angles. The residual electron densities were of no chemical significance. The crystallographic data are shown in Supplementary Table S1, and the selected bond lengths and angles are shown in Supplementary Table S2