Open Access Article
This Open Access Article is licensed under a
Creative Commons Attribution 3.0 Unported Licence

Noncovalent binding phenomena in the adsorption of amino acids on Ag/Au surfaces: a theoretical approach

Catalina Nicolau , Sergi Burguera , María de las Nieves Piña and Antonio Bauzá *
Ctra. de Valldemossa, km. 7.5, Universitat de les Illes Balears, 07122, Palma de Mallorca, Islas Baleares, Spain. E-mail: antonio.bauzaatuib.es

Received 21st March 2025 , Accepted 9th April 2025

First published on 10th April 2025


Abstract

Adsorption of amino acids (AAs) onto Ag and Au surfaces has attracted much interest in the past years, owing to their ability to control and tune the structure of Ag and Au nanoparticles (NPs) during the synthetic procedure and to enhance their stability under various conditions. Despite this, the molecular recognition events that are responsible for such stabilization as well as the role of the AA residue moieties is still not completely understood. To tackle this point, we computationally evaluated the weak interactions involved in the AA⋯Ag/AuNP recognition process from a theoretical perspective. In more detail, we analysed the strength and physical nature of the interactions established between twenty essential AAs and Ag/AuNPs at the PBE0-D3/def2-TZVP level of theory. The structural and energetic studies were complemented by the use of the quantum theory of atoms in molecules (QTAIM), non-covalent interaction plot (NCIplot) and energy decomposition analysis (EDA) techniques, providing new insights into the nature and spatial extension of the interactions studied herein. We believe that the results reported in this exploratory study will be useful for researchers working in the fields of bioinorganic chemistry, biotechnology and supramolecular chemistry by shedding light on the weak binding phenomena that are crucial for achieving AA⋯Ag/AuNP recognition.


Introduction

Nanotechnology has revolutionized various scientific disciplines, particularly in the fields of medicine,1 materials science,2 and biochemistry.3 Among the vast number of nanomaterials studied, silver and gold nanoparticles (AgNPs and AuNPs) have attracted significant attention in recent years due to their unique physicochemical properties, including their high surface area-to-volume ratio, tunable optical properties, and remarkable biocompatibility,4 exhibiting immense potential for application in various fields ranging from drug delivery and biosensing5 to antimicrobial treatment and cancer therapy.6

A crucial aspect of their functionality in biological systems is their interaction with biomolecules, particularly peptides, proteins, and amino acids (AAs),7 for instance, for controlling the structure of Ag/AuNPs during synthesis and improve their stability under various conditions.8 In this context, studies have demonstrated that the binding affinity of a given peptide for a particular region of the metal surface is related to the peptide's ability to control nanoparticle synthesis and enhance stability.9,10

Peptides, proteins, and AAs exhibit a diverse range of interactions with metallic nanoparticles, influenced by factors such as nanoparticle size, shape, surface charge, and functionalization, as well as the intrinsic properties of the biomolecules themselves.11 These interactions can lead to the formation of stable protein coronas,12 affect protein conformational stability,13 and influence cellular uptake and biological responses.14 In fact, the ability of AAs to bind to metal surfaces through functional groups such as thiols, amines, and carboxyls plays a pivotal role in modulating nanoparticle behavior and stability.15 In this regard, previous experimental and computational studies have delved into the atomic-level details of binding between peptides and Ag surfaces.16,17 However, the nature of the interactions governing the AA⋯NP molecular recognition mechanism is not completely understood, and its study is essential for designing novel NPs for specific biomedical applications (e.g. to increase therapeutic efficacy or to improve targeting specificity in drug delivery systems).

This study aims to explore the noncovalent interactions (NCIs) between AAs and Ag/AuNPs from a theoretical perspective. To achieve this, we have used twenty natural AAs and a model of Ag/AuNPs (see Fig. 1 and the Methods section). In more detail, we have computationally simulated the supramolecular complexes formed when the AAs are adsorbed onto the metallic surface, leading to the characterization of the NCIs responsible for this process. The supramolecular assemblies found were further studied using quantum mechanical techniques including the molecular electrostatic potential (MEP), the quantum theory of atoms in molecules (QTAIM), the non-covalent interaction plot (NCIplot) and the energy decomposition analysis (EDA) methodologies.


image file: d5cp01106j-f1.tif
Fig. 1 Schematic representation of the AAs used in this study (brown = non-polar, green = aromatic, red and blue = polar charged, orange = polar neutral).

Methods

The interaction energies of all complexes included in this study were computed at the PBE018,19-D320/def2-TZVP21 level of theory. The calculations were performed using the program TURBOMOLE version 7.7.22 Concretely, the Ag and Au layers were built using the geometries retrieved from the study of Sawabe and collaborators,23 by utilizing a moiety of 26 atoms belonging to the 282-atom cluster (which belongs to one of the “faces” of the metal decahedron structure). The metal layer was kept frozen, while the AA was left freely to explore the most favourable disposition. The conductor like screening model for real solvents (COSMO-RS)24 was used within the TURBOMOLE 7.7. framework during the calculations using water as a solvent. The interaction energies were calculated using the supermolecule approximation (ΔE = EAg/Au[thin space (1/6-em)]layer-AA[thin space (1/6-em)]complexEAAEAg/Au[thin space (1/6-em)]layer). The optimizations were carried out without imposing symmetry on the system. The initial disposition of AA over the metallic layer was set to be with the carboxylate group of the zwitterion moiety pointing outwards, to not overestimate the energetic results. This group is also supposed to be solvated and not involved in the formation of the AA⋯NP supramolecular complex. The optimized structures do not correspond to fully relaxed geometries since we wanted to preserve the original geometry of the metal layer when extracted from the cluster, and therefore frequency analysis calculations were not performed.

The MEP surfaces were computed at the PBE0-D3/def2-TZVP level of theory using the Gaussian 16 software25 and analyzed using the GaussView 5.0 program.26 The calculations for the wavefunction analysis27 were also carried out at the PBE0-D3/def2-TZVP level of theory and analyzed using the AIMAll software.28

In addition, the energy decomposition analysis (EDA)29,30 scheme was used to understand the role of electrostatics, exchange-repulsion, orbital, dispersion and electron correlation contributions in the formation of the noncovalent complexes studied herein at the PBE0-D3/def2-TZVP level of theory using TURBOMOLE 7.7 software and the COSMO-RS approximation.

Lastly, the NCIplot31 isosurfaces correspond to both favorable and unfavorable interactions, as differentiated by the sign of the second-density Hessian eigenvalue and defined by the isosurface color. The color scheme is a red–yellow–green–blue scale, with red indicating repulsive (ρcut+) and blue indicating attractive (ρcut) NCI interaction densities. Yellow and green surfaces correspond to weak repulsive and weak attractive interactions, respectively. The surfaces were visualized using the Visual Molecular Dynamics (VMD) software.32

Results and discussion

Structural and energetic features of the AA⋯NP recognition

Fig. 2 and Table 1 presents the results from calculations for complexes 120 involving Ag26 and complexes 2140 involving Au26. As noted, for both sets of complexes, attractive interaction energy values were found, ranging between −18.7 and −3.8 kcal mol−1 in the case of Ag-involving complexes and between −27.6 and −5.7 kcal mol−1 in the case of Au-involving complexes, which achieved more favourable interaction energy values in all the cases. Furthermore, as it can be observed from Fig. 2, for most of the computed supramolecular complexes (except for complexes 9 and 29), it is the AA residue that makes the most intermolecular contacts between both entities, and thus the interaction energies obtained are closely related to the size and electronic nature of the residues involved.
image file: d5cp01106j-f2.tif
Fig. 2 Optimized geometries at the PBE0-D3/def2-TZVP level of theory of complexes 4, 7, 14, 30 and 32. The AA⋯Ag26/Au26 distance is also given in Å.
Table 1 Interaction energy values (ΔE, in kcal mol−1), equilibrium distances (d, in Å) and distance/sum of the vdW radii ratio image file: d5cp01106j-t1.tif, including the interacting amino acid (AA) for Ag and Au complexes 140 at the PBE0-D3/def2-TZVP level of theory
Complex AA ΔE d

image file: d5cp01106j-t2.tif

AA⋯Ag complexes
1 GLY −3.8 2.787 0.75
2 ALA −4.4 3.142 0.84
3 VAL −8.0 2.528 0.68
4 LEU −9.5 2.793 0.75
5 ILE −9.9 2.701 0.72
6 PHE −18.2 3.039 0.71
7 TYR −18.7 3.098 0.77
8 TRP −18.6 2.995 0.70
9 ASP −14.6 2.721 0.68
10 GLU −9.5 2.593 0.64
11 LYS −6.5 2.829 0.76
12 ARG −13.0 3.610 0.84
13 HIS −13.5 3.048 0.73
14 MET −13.7 2.853 0.65
15 CYS −10.0 3.115 0.70
16 SER −10.6 3.278 0.81
17 THR −5.8 3.022 0.75
18 ASN −7.2 2.855 0.71
19 GLN −10.6 2.884 0.72
20 PRO −7.4 2.882 0.78
AA⋯Au complexes
21 GLY −5.7 2.673 0.73
22 ALA −6.3 3.118 0.85
23 VAL −11.5 2.484 0.68
24 LEU −13.1 2.771 0.76
25 ILE −13.5 2.645 0.72
26 PHE −24.8 2.959 0.70
27 TYR −25.6 3.135 0.79
28 TRP −27.6 3.006 0.71
29 ASP −18.5 2.564 0.70
30 GLU −14.1 2.556 0.65
31 LYS −10.4 2.802 0.77
32 ARG −17.9 3.557 0.84
33 HIS −18.6 3.025 0.74
34 MET −21.3 2.675 0.62
35 CYS −13.5 2.994 0.69
36 SER −11.3 3.299 0.84
37 THR −6.5 3.312 0.84
38 ASN −10.2 3.011 0.76
39 GLN −14.6 3.001 0.76
40 PRO −10.5 2.881 0.79


Firstly, from complexes 1 and 21 (GLY) to complexes 5 and 25 (ILE), we observed a progressive reinforcement of the interaction energy value, in line with the increase in the extension of the AA residue. These aliphatic AAs based their interaction with the metallic surface on CH–Rg (Rg = Ag and Au) contacts, similarly to the results obtained in our previous study involving aryl substituted aromatic VOCs.33 These NCIs can also be understood as hydrogen bonds (HBs), since the electrostatic potential surface of the metallic layers exhibits both positive (holes) and negative (lumps) regions, thus being able to act as both an electron donor and an acceptor moiety (see Fig. 3).


image file: d5cp01106j-f3.tif
Fig. 3 MEP surfaces of Ag26 (a) and Au26 (b) layers. The energy values at concrete parts of the surface are given in kcal mol−1 (0.002 a.u.).

Secondly, for complexes 68 and 2628 (PHE, TYR and TRP), the interaction energy values obtained were similar in the case of Ag26 (−18.2, −18.7 and −18.6 kcal mol−1, respectively), while more noticeable energetic differences were found among the Au26-involving complexes (−24.8, −25.6 and −27.6 kcal mol−1, respectively). In both sets, we observed a strengthening of the interaction from PHE to TYR owing to the alcohol group that establishes an additional regium bond (RgB)34–39 with the metallic layer (see also Fig. 4a and b). However, we found that in the case of Ag26, complex 8 involving TRP achieved a very similar value to complex 7 involving TYR, while in the case of Au26 we obtained an increase of 2 kcal mol−1 in stability, which is likely due to the higher stability exhibited by Au Rg–π bonds involving extended aromatic systems.40


image file: d5cp01106j-f4.tif
Fig. 4 NCIplot analysis and QTAIM distribution of intermolecular bond critical points (bcps in red spheres) and bond paths in complexes 4, 7, 10, 12 and 14 involving Ag (a) and 24, 27, 30, 32 and 34 involving Au (b). The names of the NCIs involved in the AA⋯Ag/AuNP recognition are indicated inside the square parts of the figure. NCIplot surfaces only include intermolecular contacts between the AA and the NP. NCIplot colour range: −0.04 a.u. ≤ (sign[thin space (1/6-em)]λ2)ρ ≤ +0.04 a.u. Isosurface value (RDG) = 0.5 and ρ cutoff = 0.05 a.u.

For complexes involving charged AAs, that is, 912 and 2932 (ASP, GLU, LYS and ARG), we also observed the same behaviour comparing the Ag26 with the Au26 series. Concretely, complexes involving ASP (9 and 29) and ARG (12 and 32) achieved higher interaction energy values than those involving GLU (10 and 30) and LYS (11 and 31). This is likely due to a larger contact area in the case of ARG-involving complexes owing to the presence of the guanidinium group, while between ASP and GLU, the latter showed the interaction of both carboxylate groups with the metal layer, thus partly overestimating the interaction energy value obtained.

Lastly, among the polar and neutral AAs (complexes 1320 and 3340), several interesting points are worth discussing. For instance, between the two S-containing AAs (MET and CYS), a larger interaction energy value was obtained for complexes 14 (−13.7 kcal mol−1) and 34 (−21.3 kcal mol−1) involving the former, owing to its slightly higher basicity (in line with the shorter MET⋯NP distances). On the other hand, among the O-containing AAs (SER, THR, ASN and GLN), SER complexes (16 and 36) and GLN complexes (19 and 39) obtained the largest interaction energy values (−10.6 and −11.3 kcal mol−1 and −10.6 and −14.6 kcal mol−1), owing to the formation of moderately strong O⋯Ag/Au RgBs. Furthermore, ASN complexes (18 and 38) obtained lower interaction energy values (−7.2 and −10.2 kcal mol−1) compared to those involving GLN, likely due to the shorter aliphatic chain present in the former. Moreover, HIS complexes (13 and 33) and PRO complexes (20 and 40) also exhibited moderately strong Rg–π and CH–Rg interactions, being HIS complexes more stable than their PRO analogues by around 6–8 kcal mol−1.

Since most of the molecular recognition events occur due to a charge complementarity between the electron donor and acceptor molecules, we have computed the electrostatic potential surfaces of the two metallic layers used herein, Ag26 and Au26. As noted in Fig. 3, we found positive electrostatic potential regions (located over the Ag and Au atoms), which accounted for the presence of holes, and also negative potential regions (located in between the metal atoms), confirming the presence of lumps. These positive and negative potential regions allowed the metal layers to favorably interact with both electron-rich and electron-poor AA residues from an electrostatic point of view. Also, the MEP value over the holes is similar for both metal clusters (+3.5 kcal mol−1 in Ag26 and +3.3 kcal mol−1 in Au26), while the lumps present in the Ag26 cluster exhibited a more negative potential (−4.8 kcal mol−1) compared to the Au26 cluster (−1.9 kcal mol−1). In general, although the positive and negative electrostatic potential values obtained for both metal surfaces are useful to understand the role of electrostatics, the slight differences observed in the MEP values are not sufficient to completely rationalize the interaction energy values obtained; therefore, an energy decomposition study was also performed to further understand these energetic results (see below).

Analysing the physical nature of AA⋯NP contacts using QTAIM and NCIplot techniques

We have also explored the AA⋯NP interactions from a charge density perspective by conducting the QTAIM and NCIplot analyses (see Fig. 4 and Table 2) of a series of representative complexes (see Table S1, ESI, for the data regarding the rest of the complexes).
Table 2 Values of the density at the bond critical points (ρ × 100, in a.u.) that characterize the NCIs present in complexes 4, 7, 10, 12, 14, 24, 27, 30, 32 and 34, along with the values of the Laplacian of ρ (∇2ρ × 100) and the potential (V × 100), kinetic (G × 100) and total energy densities (H × 100) as well as the −G/V ratio given in a.u.
Complexa ρ × 100 2ρ × 100 V × 100 G × 100 H × 100 G/V
a Only the bcps exhibiting the largest density values were considered.
4 0.61 2.32 −0.53 0.56 0.03 1.06
7 1.06 3.81 −0.72 0.84 0.12 1.17
10 2.85 11.25 −3.20 3.01 −0.19 0.94
12 0.80 3.04 −0.72 0.74 0.02 1.03
14 3.26 8.17 −2.77 2.40 0.13 0.87
24 1.15 2.94 −0.63 0.68 0.05 1.08
27 1.17 4.26 −0.83 0.95 0.08 1.14
30 3.68 13.19 −3.60 3.45 −0.15 0.96
32 1.16 3.48 −0.74 0.81 0.07 1.09
34 5.31 11.57 −4.69 3.79 −0.90 0.81


As shown in Fig. 4, for complexes 4 and 24 involving LEU, the interaction between the AA and the metallic layer is characterized by the presence of several bond critical points (bcps) and bond paths connecting the alkyl group of LEU to the Ag/Au layer, thus confirming the presence of CH–Rg (Rg = Ag and Au) contacts. For complexes 7 and 27 involving TYR, the bcps and bond paths mainly connect the C atoms from the aromatic ring with the Ag/Au atoms from the metallic layer, thus characterizing these complexes as Rg–π bonds. In addition, the O atom from the alcohol group also shows a bcp and a bond path that connects it to a metal atom, thus also contributing to the overall stabilization of these complexes through the formation of a O⋯Rg RgB.

For complexes 10, 12, 30 and 32 involving GLU and ARG residues, several bcps and bond paths denote the presence of (i) CH–Rg interactions, (ii) RgBs, with the electron donor moiety being the AA in the case of complexes 10 and 12, and (iii) Rg–π interactions in the case of complexes 30 and 32. The CH–Rg contacts are characterized by the presence of bcps and bond paths connecting the CH bonds and the metal atoms, while RgBs and Rg–π interactions are denoted by O⋯Rg and N⋯Rg bcps and bond paths that involve either the carboxylate group or the guanidinium group of the AA and the metal layer.

Lastly, for complexes 14 and 34 involving MET, very similar bcp and bond path distribution were observed, including the presence of CH–Rg bcps and bond paths as well as a S⋯Rg bcp and a bond path that characterizes the presence of a RgB.

On the other hand, regarding the NCIplot analyses, in all the complexes a greenish isosurface was found, located between the AA and the metallic layer, which denotes the presence of weak but attractive NCIs. Additionally, in the case of the O⋯Rg and S⋯Rg interactions present in complexes 10, 14, 30 and 34, a more bluish isosurface colour was observed, thus indicating the presence of a stronger interaction that likely dictates the molecular recognition event between both counterparts.

Table 2 presents the values of the Laplacian at the bcps that characterize the AA⋯NP interaction (∇2ρ × 100), resulting in positive values in all cases, as it is common in closed shell calculations. Furthermore, the values of the potential (V × 100) and kinetic (G × 100) energy densities lie within the same range in all the cases, leading to −G/V ratios around 1, which confirm the noncovalent nature of the AA⋯NP interactions.

An EDA study to reveal the energetic contributions responsible for the AA⋯NP recognition

As the final stage of our research, we have performed an EDA study on the supramolecular complexes shown above. Five representative examples involving AAs of different nature (charged, aromatic, aliphatic and neutral) are included in Fig. 5 (see Table S2 and Fig. S1, S2, ESI, for the rest of the complexes). The used energy partition scheme unveiled the contribution of electrostatics (Ele), exchange-repulsion (Ex-rep), orbital (Orb), dispersion (Disp), and electron correlation (Cor) terms.
image file: d5cp01106j-f5.tif
Fig. 5 Graphical representation of the Ele, Orb, Cor and Disp terms for complexes 4 and 24 (LEU), 7 and 27 (TYR), 10 and 30 (GLU), 12 and 32 (ARG) and 14 and 34 (MET).

As noted, in the case of the Ag26 layer, the dispersion term was the most noticeable contributor in the case of complexes involving ARG (12), TYR (7) and LEU (4), followed by correlation and orbital terms, which exhibited very similar values, and lastly electrostatics being the least favorable contributor to the stability of these supramolecular assemblies. This behavior was also observed for their Au26 analogues (complexes 32, 27 and 24). Additionally, in the case of complexes involving GLU (10) and MET (14), the orbital contribution was the most favorable one, followed by electrostatics and correlation, which exhibited very similar values in the case of complex 10 involving GLU.

In the case of complex 14, the dispersion term exhibited a close value to electrostatics and correlation, while for complex 10 it was the least favorable energy term. On the other hand, complex 30 involving GLU exhibited the same tendency as its Ag26 analogue (10), while in the case of complex 34 involving MET, electrostatics and dispersion terms inverted their behavior compared to complex 14, with the latter being the least favorable energy contributor.

Conclusions

In conclusion, we have evaluated the stability and structural features of a series of AA⋯Ag/AuNP complexes at the PBE0-D3/def2-TZVP level of theory. The interaction energies were favourable in all the cases, ranging between −18.7 and −3.8 kcal mol−1 in the case of the Ag-involving complexes and between −27.6 and −5.7 kcal mol−1 in the case of the Au-involving complexes. The QTAIM and NCIplot analyses revealed that several NCIs (e.g. CH–Rg, RgB and Rg–π) are responsible for the molecular recognition phenomena between the AA and the NP, which has not been previously described in the literature. Lastly, the EDA analyses highlighted dispersion and orbital terms as the most prominent contributions in the overall stabilization of the AAs onto the Ag and Au metallic surfaces. The results reported in this exploratory study will be useful to account for the presence and physical nature of these weak bonds that ultimately regulate the AA⋯Ag/AuNP recognition phenomena, a crucial molecular event related to the fields of bioinorganic chemistry, biotechnology and supramolecular chemistry.

Author contributions

C. N., S. B. and M. N. P. performed the theoretical calculations, and A. B. directed the study and wrote the article.

Data availability

Data for this article, including the cartesian coordinates of complexes 140, are available in GitHub at https://github.com/tonibr9/AA_NP.git. Additionally, the ESI contains Tables S1 and S2 and Fig. S1 and S2.

Conflicts of interest

There are no conflicts to declare.

Acknowledgements

All authors thank the MICIU/AEI for financial support (PID2020-115637GB-I00 FEDER funds) as well as CTI (UIB) for computational facilities.

References

  1. (a) D. F. Emerich and C. G. Thanos, Expert Opin. Biol. Ther., 2003, 3, 655 CrossRef CAS PubMed; (b) A. Haleem, M. Javaid, R. P. Singh, S. Rab and R. Suman, Glob. J. Health Sci., 2023, 7, 70 CrossRef; (c) S. Malik, K. Muhammad and Y. Waheed, Molecules, 2023, 28, 6624 CrossRef CAS PubMed.
  2. (a) M. Manoharan, Technol. Soc., 2008, 30, 401 CrossRef; (b) Y. Hu and C. M. Niemeyer, Adv. Mater., 2019, 31, 1806294 CrossRef PubMed; (c) S. Talebian, T. Rodrigues, J. das Neves, B. Sarmento, R. Langer and J. Conde, ACS Nano, 2021, 15, 15940 CrossRef CAS PubMed.
  3. (a) G. Perret, P. Ginet, M. C. Tarhan, A. Baccouche, T. Lacornerie, M. Kumemura, L. Jalabert, F. Cleri, E. F. Lartigau, B. J. Kim, S. L. Karsten, H. Fujita, Y. Rondelez, T. Fujii and D. Collard, Solid-State Electron., 2016, 115, 66 CrossRef CAS; (b) M. Sarikaya, C. Tamerler, A. K.-Y. Jen, K. Schulten and F. Baneyx, Nat. Mater., 2003, 2, 577 CrossRef CAS PubMed; (c) I. Y. Wong, S. N. Bhatia and M. Toner, Genes Dev., 2013, 27, 2397 CrossRef CAS PubMed.
  4. T. Shanmugasundaram, M. Radhakrishnan, V. Gopikrishnan, K. Kadirvelu and R. Balagurunathan, Nanoscale, 2017, 9, 16773 RSC.
  5. (a) P. Tan, H. Li, J. Wang and S. C. B. Gopinath, Biotechnol. Appl. Biochem., 2020, 68, 1236 Search PubMed; (b) N. Ibrahim, N. D. Jamaluddin, L. L. Tan and N. Y. Mohd Yusof, Sensors, 2021, 21, 5114 CrossRef CAS PubMed; (c) F. Zeng, D. Xu, C. Zhan, C. Liang, W. Zhao, J. Zhang, H. Feng and X. Ma, ACS Appl. Nano Mater., 2018, 1, 2748 CrossRef CAS; (d) P. Bollela, C. Schulz, G. Favero, F. Mazzei, R. Ludwig, L. Gorton and R. Antiochia, Electroanalysis, 2017, 29, 77 CrossRef.
  6. (a) S. Patra, S. Mukherjee, A. Kumar Barui, A. Ganguly, B. Sreedhar and C. R. Patra, Mater. Sci. Eng. C, 2015, 53, 298 CrossRef CAS PubMed; (b) M. Yamada, M. Foote and T. W. Prow, WIREs Nanomed. Nanobiotechnol., 2015, 7, 428 CrossRef CAS PubMed; (c) R. S. Devi, A. Girigoswami, M. Siddharth and K. Girigoswami, Appl. Biochem. Biotechnol., 2022, 194, 4187 CrossRef PubMed.
  7. (a) A. H. Pakiari and Z. Jamshidi, J. Phys. Chem. A, 2007, 111, 4391 CrossRef CAS PubMed; (b) N. S. AL-Thabaiti, M. A. Malik and Z. Khan, Int. J. Biol. Macromol., 2017, 95, 421 CrossRef CAS PubMed; (c) H. Poblete, A. Agarwal, S. S. Thomas, C. Bohne, R. Ravichandran, J. Phopase, J. Comer and E. I. Alarcon, Langmuir, 2016, 32, 265 CrossRef CAS PubMed.
  8. J. M. Slocik, M. O. Stone and R. R. Naik, Small, 2005, 1, 1048 CrossRef CAS PubMed.
  9. Q. Zeng, X. Jiang, A. Yu and G. M. Lu, Nanotechnology, 2007, 18, 035708 CrossRef PubMed.
  10. Y. Li, Z. Tang, P. N. Prasad, M. R. Knecht and M. T. Swihart, Nanoscale, 2014, 6, 3165 RSC.
  11. (a) A. A. Shemetov, I. Nabiev and A. Sukhanova, ACS Nano, 2012, 6, 4585 CrossRef CAS PubMed; (b) Y. N. Tan, J. Y. Lee and D. I. C. Wang, J. Am. Chem. Soc., 2010, 132, 5677 CrossRef CAS PubMed; (c) A. Vallee, V. Humblot and C.-M. Pradier, Acc. Chem. Res., 2010, 43, 1297 CrossRef CAS PubMed.
  12. (a) S. J. Park, Int. J. Nanomed., 2020, 5783 CrossRef CAS PubMed; (b) F. Pederzoli, G. Tosi, M. A. Vandelli, D. Belletti, F. Forni and B. Ruozi, WIREs Nanomed. Nanobiotechnol., 2017, 9, e1467 CrossRef PubMed.
  13. J. M. Galloway and S. S. Staniland, J. Mat. Chem., 2012, 22, 12423 RSC.
  14. (a) A. Kumar, X. Zhang and X.-J. Liang, Biotechnol. Adv., 2013, 31, 593 CrossRef CAS PubMed; (b) F.-Y. Kong, J.-W. Zhang, R.-F. Li, Z.-X. Wang, W.-J. Wang and W. Wang, Molecules, 2017, 22, 1445 CrossRef PubMed.
  15. (a) I. P. Muhka, A. M. Eremenko, N. P. Smirnova, A. I. Mikhienkova, G. I. Korchak, V. F. Gorchev and A. Y. Chunikhin, Appl. Biochem. Microbiol., 2013, 49, 199 CrossRef; (b) N. Durán, G. Nakazato and A. B. Seabra, Appl. Microbiol. Biotechnol., 2016, 100, 6555 CrossRef PubMed; (c) C. Vanlalveni, S. Lallianrawna, A. Biswas, M. Selvaraj, B. Changmai and S. L. Rokhum, RSC Adv., 2021, 11, 2804 RSC.
  16. Z. E. Hughes, L. B. Wright and T. R. Walsh, Langmuir, 2013, 29, 13217 CrossRef CAS PubMed.
  17. J. P. Palafox-Hernandez, Z. Tang, Z. E. Hughes, Y. Li, M. T. Swihart, P. N. Prasad, T. R. Walsh and M. R. Knecht, Chem. Mater., 2014, 26, 4960 CrossRef CAS.
  18. C. Adamo and V. Barone, J. Chem. Phys., 1999, 110, 6158 CrossRef CAS.
  19. M. Ernzerhof and G. E. Scuseria, J. Chem. Phys., 1999, 110, 5029 CrossRef CAS.
  20. S. Grimme, J. Antony, S. Ehrlich and H. Krieg, J. Chem. Phys., 2010, 132, 154104 CrossRef PubMed.
  21. A. Schäfer, H. Horn and R. Ahlrichs, J. Chem. Phys., 1992, 97, 2571 CrossRef.
  22. S. G. Balasubramani, G. P. Chen, S. Coriani, M. Diedenhofen, M. S. Frank, Y. J. Franzke, F. Furche, R. Grotjahn, M. E. Harding, C. Hättig, A. Hellweg, B. Helmich-Paris, C. Holzer, U. Huniar, M. Kaupp, A. M. Khah, S. K. Khani, T. Müller, F. Mack, B. D. Nguyen, S. M. Parker, E. Perlt, D. Rappoport, K. Reiter, S. Roy, M. Rückert, G. Schmitz, M. Sierka, E. Tapavicza, D. P. Tew, C. van Wüllen, V. K. Voora, F. Weigend, A. Wodyński and J. M. Yu, J. Chem. Phys., 2020, 152, 184107 CrossRef CAS PubMed.
  23. K. Sawabe and A. Satsuma, ACS Omega, 2022, 7, 4405 CrossRef CAS PubMed.
  24. A. Schäfer, A. Klamt, D. Sattel, J. C. W. Lohrenz and F. Eckert, Phys. Chem. Chem. Phys., 2000, 2, 2187 RSC.
  25. M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, G. Scalmani, V. Barone, G. A. Petersson, H. Nakatsuji, X. Li, M. Caricato, A. V. Marenich, J. Bloino, B. G. Janesko, R. Gomperts, B. Mennucci, H. P. Hratchian, J. V. Ortiz, A. F. Izmaylov, J. L. Sonnenberg, D. Williams-Young, F. Ding, F. Lipparini, F. Egidi, J. Goings, B. Peng, A. Petrone, T. Henderson, D. Ranasinghe, V. G. Zakrzewski, J. Gao, N. Rega, G. Zheng, W. Liang, M. Hada, M. Ehara, K. Toyota, R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, Y. Honda, O. Kitao, H. Nakai, T. Vreven, K. Throssell, J. A. MontgomeryJr., J. E. Peralta, F. Ogliaro, M. J. Bearpark, J. J. Heyd, E. N. Brothers, K. N. Kudin, V. N. Staroverov, T. A. Keith, R. Kobayashi, J. Normand, K. Raghavachari, A. P. Rendell, J. C. Burant, S. S. Iyengar, J. Tomasi, M. Cossi, J. M. Millam, M. Klene, C. Adamo, R. Cammi, J. W. Ochterski, R. L. Martin, K. Morokuma, O. Farkas, J. B. Foresman and D. J. Fox, Gaussian, Inc, Wallingford CT, 2016.
  26. R. Dennington, T. A. Keith and J. M. Millam, GaussView, Version 6, Semichem Inc, Shawnee Mission, KS, USA, 2016 Search PubMed.
  27. R. F. W. Bader, Chem. Rev., 1991, 91, 893 CrossRef CAS.
  28. AIMAll (Version 19.10.12), T. A. Keith, TK Gristmill Software, Overland Park KS, USA, 2019.
  29. L. Zhao and M. von Hopffgarten, WIREs Comp. Rev., 2018, 8, e1345 Search PubMed.
  30. K. Kitaura and K. Morokuma, Int. J. Quantum Chem., 1976, 10, 325 CrossRef CAS.
  31. J. Contreras-García, E. R. Johnson, S. Keinan, R. Chaudret, J.-P. Piquemal, D. N. Beratan and W. Yang, J. Chem. Theory Comput., 2011, 7, 625 CrossRef PubMed.
  32. W. Humphrey, A. Dalke and K. Schulten, J. Mol. Graphics, 1996, 14, 33 CrossRef CAS PubMed.
  33. M. N. Piña, J. Morey, A. Frontera and A. Bauzá, J. Mater. Chem. A, 2023, 11, 25865 RSC.
  34. J. H. Stenlid and T. Brinck, J. Am. Chem. Soc., 2017, 139, 11012 CrossRef CAS PubMed.
  35. J. H. Stenlid, A. J. Johansson and T. Brinck, Phys. Chem. Chem. Phys., 2018, 20, 2676 RSC.
  36. I. Alkorta, J. Elguero and A. Frontera, Crystals, 2020, 10, 180 CrossRef CAS.
  37. I. Alkorta, N. R. Walker and A. C. Legon, Inorganics, 2021, 9, 13 CrossRef CAS.
  38. G. Sánchez-Sanz, C. Trujillo, I. Alkorta and J. Elguero, Chem. Phys. Chem., 2019, 20, 1552 CrossRef.
  39. G. Sánchez-Sanz, C. Trujillo, I. Alkorta and J. Elguero, Chem. Phys. Chem., 2020, 21, 2557 CrossRef PubMed.
  40. A. Frontera and A. Bauzá, Chem. – Eur. J., 2018, 24, 7228 CrossRef CAS PubMed.

Footnote

Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d5cp01106j

This journal is © the Owner Societies 2025
Click here to see how this site uses Cookies. View our privacy policy here.