Research Article | Open Access
A. Díaz Compañy, G. Brizuela, S. Simonetti, "Study of Materials for Drugs Delivery: cis-[PtCl2(NH3)2] Hydrolysis on Functionalized SiO2(100) Surfaces", Journal of Solid State Physics, vol. 2013, Article ID 363209, 10 pages, 2013. https://doi.org/10.1155/2013/363209
Study of Materials for Drugs Delivery: cis-[PtCl2(NH3)2] Hydrolysis on Functionalized SiO2(100) Surfaces
The hydrolysis of the cis-platin drug on a SiO2(100) hydrated surface was investigated by computational modeling. The cisplatin molecule presents weak interactions with the neighbouring OH groups of the hydrated surface. The cisplatin hydrolysis is not favourable on the SiO2(100) surface. Consequently, the adsorption properties of SiO2(100) are improved considering the surface's modification with K, Mg, or NH2 functional species. In general, the system is more stable and the molecule-surface distance is reduced when cisplatin is adsorbed on the promoted surfaces. The hydrolysis is a favourable process on the SiO2(100) functionalized surfaces. The cisplatin hydrolysis is most favoured when the surface is functionalized with the NH2 specie. The electron density exchange plays a main role in the adsorption process. cis-[PtCl2(NH3)2] and cis-[PtCl(NH3)2]+ are adsorbed on the functionalized surface via Cl–N and Cl–Si interactions, while the cis-[Pt(NH3)2]2+ complex is adsorbed through Pt–O, Pt–Si, and Pt–H interactions. After adsorption, the strength of the N–Si, Si–O, and N–H superficial bonds of the functionalized SiO2(100) changes favouring the interaction between the molecule and their complexes with the surface.
Silica (SiO2) is a very important material in both industrial application and material science. Various problems related to silica surface characteristics are encountered in different areas of science and technology: physics, chemistry and physical chemistry, agriculture, soil science, biology and medicine, electrical energetic, the oil processing industry, the metallurgical and mining industries, some fields of geology, and so forth. In the past, many reviews and significant articles have appeared on the subject of surface chemistry of silica [1–10].
Different types of silica are widely used as efficient adsorbents, selective absorbents, and active phase carriers in catalysis. Chemical modification of the surface of silica receives interest because this process allows researchers to regulate and change adsorption properties and technological characteristics; for example, the alkylation techniques have served as the starting point for bonding more interesting and complicated molecules to the surface  such as polymers , saccharides , and amines [14, 15]. At the crystal surface, Si atoms are no longer protected by the bulk material from chemical reactions with the environment, and molecular species can be absorbed into or bond with surface atoms. These new molecular species can alter the electronic structure and bonding of the SiO2 at the surface.
Studies have shown that silica matrixes could improve drug delivery systems [16, 17]. Our group have previously studied the adsorption of cis-platin on a SiO2(111) surface. cis-platin (cis-[PtCl2(NH3)2]) is a coordination compound, used in the treatment of several solid tumors [18, 19]. cis-platin and its hydrolysis products (cis-[PtCl(NH3)2]+ and cis-[Pt(NH3)2]2+) exhibit a grand pharmacological effect [20–24], but they have adverse secondary effects [25, 26]. However, the optimization of the dosing and delivery schedule can possibility minimise unfavourable effects while maintaining effectiveness [27, 28]. We have studied the adsorption of cis-platin and its complexes on a SiO2(111) hydrated surface by tight binding calculation . We have reproduced the main characteristics of the adsorption process showing a possible way for the molecule/complexes adsorption. We have also analyzed the nature of the drug-carrier bonding and the changes observed in the electronic structure upon adsorption. Except those molecular orbitals lying much lower in energy, the rest are modified showing the molecule-surface interaction. The new interactions are formed at expenses of the OH bonds. One of the major findings is the Cl–H interaction that takes place during cis-[PtCl2(NH3)2] and cis-[PtCl(NH3)2]+ adsorptions and the Pt–O interaction developed during the cis-[Pt(NH3)2]2+ adsorption. The adsorption of cis-platin on a SH functionalized SiO2(111) surface has also been studied . The molecule/complexes-SH electrondonating effect plays an important role in the catalytic reaction. The more important drug-carrier interactions occur through the Cl–H, Pt–S, and Pt–H interactions. When the new interactions are formed, the functionalized carrier maintains its matrix properties while the molecule is the most affected after adsorption. The Pt atomic orbitals present the most important changes during adsorption. We have also evaluated the adsorption effects of CN-functionalized SiO2(111) surface as cis-platin drug’s host . The CN-silica carrier showed good catalytic properties. The molecule-surface interactions are strengthening due to the incorporation of the CN silane group. The remarkable properties of the functionalized carrier may be attributed to the smaller changes in the CN groups caused by the interaction with neighbouring cis-platin molecules and the enhancement in Pt-bonding interactions due to the surface incorporation of CN silane groups.
In the present study, we analyze the adsorption of cis-platin and its products on a dominant surface of the hydrated silica, a SiO2(100) plane, and the surface functionalization with K, Mg, CH3, or NH2 chemical species in order to improve the catalytic process. The minimum energy geometry of cis-platin and its complexes is calculated, and the changes in the electronic structure and the chemical bonding are addressed by Yet Another Extended Hückel Molecular Orbital Package (YAeHMOP) .
2. The Drug-Carrier System
It is known that hydroxyl (silanol) groups, Si–OH, should be present on the surface of silicates and silicas. We have simulated completely hydrated silica by considering it comparable to the (100) surface of -cristobalite, in which each surface Si atom is connected to a single silanol group . The crystal structure of -cristobalite is based on networks of corner-connected SiO4 tetrahedra, with noncollinear Si–O–Si bonds forming bond angles of approximately 147°. Si superficial atoms tend to have a complete tetrahedral configuration and, in an aqueous medium, their free bonds become saturated with hydroxyl groups forming silanol groups (=Si–OH).
We have used a supercell of 469 atoms: 113 Si, 274 O atoms, and 82 H atoms, distributed in six layers. Every Si atom completes its tetrahedron with O atoms. As a starting geometry for the surface, we used the following distances: Si–Si, 5.07 Å; Si–O (surface), 1.5 Å; O–O (bulk), 2.53 Å; O–H, 0.96 Å, and H–H, 5.07 Å. In order to reproduce the surface, this cell is extended in two dimensions parallel to the surface. All dangling bonds were saturated with additional H atoms. On the other hand, the starting point for the calculation was the cis-platin structure (see Figure 1) taken from experimental data [34, 35]. Initial optimization of cis-platin agreed with the findings of several theoretical studies  giving a C2v minimum with a distorted square-planar coordination. The in-plane N–H groups are aligned toward Cl, resulting in (N–H)- - - -Cl distances and angles of 2.41 Å and 113°. The electrostatic potential shows a highly polar molecule more positive on the amino group and negative on the chlorine atoms. The Pt is close to neutral.
3. The Computational Method
Our calculations were performed using the Atom Superposition and Electron Delocalization method [37–39]. This method is a modification of the Extended Hückel Molecular Orbital Method implemented with the YAeHMOP program (Yet Another Extended Hückel Molecular Orbital Package) . The Extended Hückel (EH) based methods supply useful information about different aspects of the electronic structure and the chemical reactivity. The theory is based on a physical model of molecular and solid electronic charge density distribution functions [40, 41]. The EH method has been successfully employed for experimental information analysis and its correlation with atomic data. It is a methodology that reveals the basic interactions that are responsible for the chemical bonding and it makes possible the relationship between systems with similar geometrical and compositional distributions. An other advantage of the method is that it allows working with systems that include hundred transition metals per unit cell. The literature shows a lot of references about the application of this method in catalysis and adsorption phenomena on surfaces [42–45]. Our group has recently used this methodology in studies of industrial interest [46, 47].
We have computed the adiabatic energy of the system absorbing the drug cis-platin on the SiO2(100) hydrated surface (carrier). During the calculations, the structures of both molecule and substrate were optimized at steps of 0.02 Å and convergence in energy of 0.01 eV. We have obtained the energy curves, initially for the cis-platin molecule and then considered the removal of one and the two chloroatoms of the molecule, in order to study the hydrolysis phenomenon. In a second stage, we have modified the SiO2(100) surface by adding a functional specie (K, Mg, CH3, or NH2), in order to analyze the changes in the surface adsorption properties.
The adiabatic total energy values were computed as the difference between the electronic energy () of the system when the drug is at finite distance on the surface (carrier) and the same energy when that drug is far away from the surface:
To understand the drug-carrier interactions we used the concept of density of states (DOS) and crystal orbital overlap population (COOP) curves. The DOS curve is a plot of the number of orbitals per unit volume per unit energy. The COOP curve is a plot of the overlap population weighted DOS versus energy. The integration of the COOP curve up to the Fermi level gives the total overlap population of the bond specified and it is a measure of the bond strength.
4. Results and Discussion
The adsorption energies for cis-platin and its complexes are shown in Figure 2. The cis-[PtCl2(NH3)2] molecule adopt it minimum energy location at the OH–Cl distance of 2.4 Å. When we computed the cis-platin complexes adsorption energies, the [PtCl(NH3)2]+ and cis-[Pt(NH3)2]2+ adsorptions are not favourable because the energy is always positive (repulsive interaction). We can conclude that the hydrolysis process is not favourable on the SiO2(100) hydrated surface. For cis-[PtCl2(NH3)2]-silica configuration of minimum energy, each Cl atom of cis-platin presents weak interactions with neighbour OH groups of the hydrated surface. The existence of these bonds is confirmed by the bond population; the Cl–H and Cl–O overlap populations (OP) are 0.011 and 0.013, respectively. The COOP curves can be seen in Figures 3(a) and 3(b). These curves present bonding and antibonding peaks below the Fermi Energy level and their integration up to the gives the cited small total OPs. After adsorption, the silica surface almost maintains its matrix properties. The O–H and O–Si superficial bonds only decrease 1.21% and 0.38%, respectively (see Table 1); the orbital population changes are smaller than 2%. The major changes occur in cis-platin’s molecule; the Cl–Pt OP decreases 22%. The Cl and Cl populations decrease 5% and 47%, respectively, while the Pt , Pt , and Pt orbital populations change 37%, 35%, and 90%, respectively. A complete data about the orbital populations and net charges can be seen in Table 2.
Bare silica or isolated cisplatin.
Bare silica or isolated cisplatin.
In a second stage, in order to improve the adsorption properties of the SiO2(100) surface, we have considered the surface’s modification with different functional species: K, Mg, CH3, or NH2. Figure 4 shows the energy curves for these systems. When the surface is functionalized by CH3, the adsorption process is not favourable (the energy of this system is always positive) and it could occur because the interaction between the CH3 functional group and cis-platin molecule is not favoured by the electron excharge; while the other systems (promoted by K, Mg, or NH2) are more stable than the surface without functionalization, in general the surface modification acts on reducing the adsorption energy. The curves corresponding to the systems promoted by K, Mg, and NH2 do not present an absolute minimum energy position for the cis-platin molecule. In general, the more favorable molecule-surface distances are in the range between 0.3 and 4.0 Å. We can conclude that the surface functionalization improves the adsorbate-substrate contact by diminishing the molecule-surface distance and reducing the adsorption energy.
The system functionalized with NH2 group presents the best cis-platin adsorption energies compared to the other studied systems (see Figure 4). We have calculated the adsorption of cis-platin and its products, [PtCl(NH3)2]+ and cis-[Pt(NH3)2]2+, on the silica-NH2 matrix; Figure 5 shows the corresponding adiabatic curves. We can observe that cis-platin and [PtCl(NH3)2]+ adsorptions are favourable on the surface (at positive distances), while [Pt(NH3)2]2+ adsorption is more stable inside the surface (at negative distances). A schematic view of the adsorption geometry can be seen in Figure 6 (see selected level). We can see in Figure 5 that the adsorption of [Pt(NH3)2]2+ complex on the silica-NH2 matrix is the most favoured; the minimum adsorption energy is obtained when the complex is located at −1.4 Å from the surface. In order to analyze the complexes-surface interactions, we have studied in detail the electronic structure and bonding characteristics of the cis-platin/SiO2(100)-NH2 system.
The DOS curve corresponding to the isolated SiO2(100)-NH2 system can be seen in Figure 7(a). When the molecule is adsorbed, the changes are lightly perceived (see Figure 7(b)). For a major view of these states, the partial DOS of the cis-platin, arranged in the same geometry as the molecules take on the surface, is shown in Figure 7(c). The horizontal sticks display the energy of the molecular orbitals in the isolated cis-platin molecule. After adsorption, a portion of its DOS is pushed above the Fermi level. The Fermi level is modified and this implies an energetic stabilization of the molecule after adsorption. The lowest s and p orbitals of the molecule substantially interact with surface orbitals; the corresponding bands are spread out after adsorption.
For cis-[PtCl2(NH3)2]-silica-NH2 study, we have selected the complex located at 2.0 Å from the surface. For this configuration, the Cl atoms present interactions with neighbouring N and Si atoms of the surface. The Cl–N and Cl–Si overlap populations are 0.8105 and 0.5785, respectively; the COOP curves can be seen in Figures 8(a) and 8(b). No other important interactions were observed. For cis-[PtCl(NH3)2]+-silica-NH2 system we have considered for studying the geometry corresponding to the complex positioned at 2.0 Å from the surface (at its minimum energy location). When the cis-platin molecule loses the first chloro atom, the most favourable interactions take place between the remaining Cl atom and the neighbouring N and Si atoms of the surface. The Cl–N and Cl–Si OP values are 0.7402 and 0.4235 respectively; Figures 8(c) and 8(d) show the corresponding COOPs curves. For cis-[PtCl(NH3)2]+-silica-NH2 system, we have selected for studying the geometry corresponding to the complex positioned at −1.4 Å from the surface (at its minimum energy location). When the molecule loses both the chloro atoms, the most favourable interactions occur between the Pt atom and neighbouring O and Si atoms of the surface. The Pt–O OP value is 0.7269, while the Pt–Si OP values are 0.1092 (Si superficial) and 0.0285 (Si bulk). A very small Pt–H interaction is detected (OP = 0.002). Figure 9 shows the corresponding COOPs curves.
During adsorption, an electronic densities relocation is produced between the surface and cis-platin atomic orbitals. The major changes are summarized in Table 3. For cis-[PtCl2(NH3)2]-silica-NH2 system, the and orbital populations of the N atoms neighbouring to cis-platin decrease 1–7% and increase 39–46%, respectively. The and populations of neighbouring Si (superficial) atoms decrease 9–11% and increase 2–9% respectively, while Si (bulk) atom population decreases less than 1%. The and orbital populations of the O atoms neighbouring to cis-platin increase to about 1% and 4–13%, respectively. Then, the major population changes occur in N , Si (superficial) , and O orbitals. The biggest percent changes in the cis-platin orbital populations are observed. The Cl and Cl populations decrease 15–22%, and 40–51% respectively, while Pt , Pt , and Pt populations decrease 38%, 31%, and 77%, respectively. For cis-[PtCl(NH3)2]+-silica-NH2 system, the and orbital populations of the N atoms neighbouring to cis-platin modified 1–8% and 59–87%, respectively. The and populations of neighbouring Si(superficial) atoms are modified 1–9% and increase 4–6%, respectively, while Si (bulk) population decreases less than 1%. The and orbital populations of the O atoms neighbouring to cis-platin increase to about 1% and 3–14%, respectively. Then, the major population changes occur in N , Si (superficial) , and O orbitals. Noticeable changes can be observed in cis-platin orbitals. The Cl and Cl populations decrease 17% and 35%, respectively, while Pt , Pt and Pt populations decrease 33%, 33%, and 85%, respectively. For cis-[PtCl(NH3)2]+-silica-NH2 system, the and orbital populations of the N atoms neighbouring to cis-platin decrease to about 5% and increase 58%, respectively. The and populations of neighbouring Si (superficial) atoms are modified by 1–8% and 2–6%, respectively, while Si (bulk) population changes 1–4%. The and orbital populations of the O atoms neighbouring to cis-platin is modified to about 2% and 6–9% respectively. Then, the major population changes occur in N orbitals. Big changes take place in Pt atomic orbitals of cis-platin molecule. The Pt , Pt , and Pt populations decrease 64%, 45%, and 83%, respectively.
|cis-[PtCl2(NH3)2]/silica-NH2 system, cis-[PtCl(NH3)2]+/silica-NH2 system.|
cis-[Pt(NH3)2]2+/silica-NH2 system, isolated silica-NH2, or isolated cisplatin.
The new interactions are formed at the expenses of the original bonds (see Table 4). When Cl–N and Cl–Si interactions are formed during cis-[PtCl2(NH3)2] and cis-[PtCl(NH3)2]+ adsorption, the N–Si and Si–O (superficial) bond strengths are reduced between 47–55% and 8–24%, respectively, while the Si–O (bulk) interaction increases to about 2 %, compared with the same bonds in the isolated surface. On the other hand, when Pt–O, Pt–Si, and Pt–H interactions are formed during cis-[Pt(NH3)2]2+ adsorption, the N–Si, Si–O (superficial), and N–H bond strengths are modified to about 5–29%, 5–20%, and 4–17%, respectively, after adsorption. At the same time, the Pt–Cl bond of both cis-[PtCl2(NH3)2] molecule and the cis-[PtCl(NH3)2]+ complex are strengthed 11% and 46%, respectively, after adsorption.
|cis-[PtCl2(NH3)2]/silica-NH2 system, cis-[PtCl(NH3)2]+/silica-NH2 system.|
cis-[Pt(NH3)2]2+/silica-NH2 system, isolated silica-NH2, or isolated cisplatin.
The adsorption of cis-platin drug on a SiO2(100) hydrated surface was investigated by computational calculation. During adsorption, the silica surface maintains its matrix properties and the major changes occur in cis-platin’s molecule. The cis-platin molecule presents weak interactions with neighbouring OH groups of the hydrated surface and the hydrolysis process is not favourable on the SiO2(100) surface.
The SiO2(100) adsorption properties are improved considering the surface’s modification with K, Mg, or NH2 chemical species. In general, the stability of the system is increased and the molecule-surface distance is reduced. The hydrolysis is a favourable process on the SiO2(100) functionalized surface. The adsorption of cis-platin molecule and its complexes is strengthened. The electron density exchange between the functional specie and the molecule/complexes plays a main role in the adsorption process. The cis-platin hydrolysis is most favoured when the surface is functionalized with the NH2 specie. cis-[PtCl2(NH3)2] and cis-[PtCl(NH3)2]+ are adsorbed on the surface via Cl–N and Cl–Si interactions, while the cis-[Pt(NH3)2]2+ complex is adsorbed through Pt–O, Pt–Si, and Pt–H interactions. After adsorption, the strength of N–Si, Si–O and N–H superficial bond of the functionalized SiO2(100) changes favoring the interaction between the molecule and its complexes with the surface.
This work was supported by SGCyT UNS, PIP-CONICET, and PICT. G. Brizuela and S. Simonetti are members of CONICET. A. Díaz Compañy is a fellow of Comisión de Investigaciones Científicas (CIC) de la provincia de Buenos Aires.
- V. P. Zhdanov, Elementary Physical-Chemical Processes on Surface, Nauka, Novosibirsk, Russia, 1988.
- M. Jaroniec and R. Madey, Physical Adsorption on Heterogeneous Solids, Elsevier, Amsterdam, The Netherlands, 1988.
- F. Joachim, A. Vidal, and E. Papirer, in Chemically Modified Oxide Surfaces, E. Leyden and W. T. Collins, Eds., p. 361, Gordon and Breach, New York, NY, USA, 1990.
- V. M. Ogenko, V. M. Rosenbaum, and A. A. Chuiko, The Theory of Vibrations and Reorientations of Surface Atomic Groups, Naukova Dumka, Kiev, Ukraine, 1991.
- A. A. Chuiko and Y. I. Gorlov, Surface Chemistry of Silica: Surface Structure, Active Sites, Sorption Mechanisms, Naukova Dumka, Kiev, Ukraine, 1992.
- A. A. Chuiko, Ed., Silicas in Medicine and Biology, Institute of Surface Chemistry, National Academy of Science of Ukraine, Kiev, Ukraine, 1993.
- G. A. Somarjai, Introduction to Surface Chemistry and Catalysis, John Wiley & Sons, New York, NY, USA, 1994.
- E. F. Vansant, P. van der Voort, and K. C. Vrancken, Characterization and Chemical Modification of the Silica Surface, Elsevier, Amsterdam, The Netherlands, 1995.
- A. Dabrowski and V. A. Tertykh, Eds., Adsorption on New and Modified Inorganic Sorbents, Elsevier, Amsterdam, The Netherlands, 1996.
- A. P. Legrand, Ed., The Surface Properties of Silicas, John Wiley & Sons, London, UK, 1998.
- M. R. Linford and C. E. D. Chidsey, “Surface functionalization of alkyl monolayers by free-radical activation: gas-phase photochlorination with Cl2,” Langmuir, vol. 18, no. 16, pp. 6217–6221, 2002.
- A. Juang, O. A. Scherman, R. H. Grubbs, and N. S. Lewis, “Formation of covalently attached polymer overlayers on Si(111) surfaces using ring-opening metathesis polymerization methods,” Langmuir, vol. 17, no. 5, pp. 1321–1323, 2001.
- L. C. P. M. de Smet, G. A. Stork, G. H. F. Hurenkamp et al., “Covalently attached saccharides on silicon surfaces,” Journal of the American Chemical Society, vol. 125, no. 46, pp. 13916–13917, 2003.
- T. Böcking, M. James, H. G. L. Coster, T. C. Chilcott, and K. D. Barrow, “Structural characterization of organic multilayers on silicon (111) formed by immobilization of molecular films on functionalized Si–C linked monolayers,” Langmuir, vol. 20, no. 21, pp. 9227–9235, 2004.
- J. T. C. Wojtyk, K. A. Morin, R. Boukherroub, and D. D. M. Wayner, “Modification of porous silicon surfaces with activated ester monolayers,” Langmuir, vol. 18, no. 16, pp. 6081–6087, 2002.
- M. Vallet-Regi, A. Rámila, R. P. Del Real, and J. Pérez-Pariente, “A new property of MCM-41: drug delivery system,” Chemistry of Materials, vol. 13, no. 2, pp. 308–311, 2001.
- J. Zhao, F. Gao, Y. Fu, W. Jin, P. Yang, and D. Zhao, “Biomolecule separation using large pore mesoporous SBA-15 as a substrate in high performance liquid chromatography,” Chemical Communications, no. 7, pp. 752–753, 2002.
- P. J. O'Dwyer and J. P. Stevenson, “Clinical status of cisplatin, carboplatin, and other platinum-based antitumor drugs,” in Cisplatin, B. Lippert, Ed., pp. 31–72, Wiley-VCH, Weinheim, Germany, 1999.
- Y. R. Rodríguez and C. H. Castro, “Avances recientes en la determinación analítica del cisplatino y sus productos de hidrólisis,” Revista CENIC. Ciencias Químicas, vol. 40, no. 1, 2009.
- J. P. Reedijk, “New clues for platinum antitumor chemistry: kinetically controlled metal binding to DNA,” Proceedings of the National Academy of Sciences of the United States of America, vol. 100, no. 7, pp. 3611–3616, 2003.
- M. A. Jakupec, M. Galanski, and B. K. Keppler, “Tumour-inhibiting platinum complexes-state of the art and future perspectives,” Reviews of Physiology, Biochemistry and Pharmacology, vol. 146, pp. 1–53, 2003.
- A. Sigel and H. Sigel, Eds., Metal Ions in Biological Systems, vol. 42, Marcel Dekker, New York, NY, USA, 2004.
- D. Wang and S. J. Lippard, “Cellular processing of platinum anticancer drugs,” Nature Reviews Drug Discovery, vol. 4, no. 4, pp. 307–320, 2005.
- J. V. Burda, M. Zeizinger, and J. Leszczynski, “Hydration process as an activation of trans- and cisplatin complexes in anticancer treatment. DFT and Ab initio computational study of thermodynamic and kinetic parameters,” Journal of Computational Chemistry, vol. 26, no. 9, pp. 907–914, 2005.
- V. Troger, J. L. Fischel, P. Formento, J. Gioanni, and G. Milano, “Effects of prolonged exposure to cisplatin on cytotoxicity and intracellular drug concentration,” European Journal of Cancer, vol. 28, no. 1, pp. 82–86, 1992.
- R. B. Weiss and M. C. Christian, “New cisplatin analogues in development: a review,” Drugs, vol. 46, no. 3, pp. 360–377, 1993.
- A. Uchida, Y. Shinto, N. Araki, and K. Ono, “Slow release of anticancer drugs from porous calcium hydroxyapatite ceramic,” Journal of Orthopaedic Research, vol. 10, no. 3, pp. 440–445, 1992.
- K. Ajima, T. Murakami, Y. Mizoguchi et al., “Enhancement of in vivo anticancer effects of cisplatin by incorporation inside single-wall carbon nanohorns,” ACS Nano, vol. 2, no. 10, pp. 2057–2064, 2008.
- S. Simonetti, A. D. Compañy, G. Brizuela, and A. Juan, “Theoretical study of cisplatin adsorption on silica,” Applied Surface Science, vol. 258, no. 3, pp. 1052–1057, 2011.
- A. D. Compañy, A. Juan, G. Brizuela, and S. Simonetti, “Effect of thiol-functionalised silica on cisplatin adsorption,” Molecular Simulation, vol. 38, no. 13, pp. 1055–1060, 2012.
- S. Simonetti, A. D. Compañy, G. Brizuela, and A. Juan, “Modeling of CN-functionalized silica as vehicle for delivery of the chemotherapeutic agent: cisplatin,” Applied Physics A, vol. 109, no. 1, pp. 63–68, 2012.
- G. Landrum and W. Glassey, Yet Another Extended Hückel Molecular Orbital Package (YAeHMOP), Cornell University, Ithaca, NY, USA, 2004.
- J. H. de Boer, The Structure and Properties of Porous Materials, edited by D. H. Everett and F. S. Stone, Butterworth, London, UK, 1958.
- G. H. Milburn and M. R. Truter, “The crystal structures of cis- and trans-dichlorodiammineplatinum(II),” Journal of the Chemical Society A, pp. 1609–1616, 1966.
- R. Shandles, E. O. Schlemper, and R. K. Murmann, “The crystal and molecular structure of tetraammineplatinum(II) μ-oxo-bis[oxotetracyanorhenium(V)],” Inorganic Chemistry, vol. 10, no. 12, pp. 2785–2789, 1971.
- A. Robertazzi and J. A. Platts, “Hydrogen bonding, solvation, and hydrolysis of cisplatin: a theoretical study,” Journal of Computational Chemistry, vol. 25, no. 8, pp. 1060–1067, 2004.
- R. Hoffmann and W. N. Lipscom, “Theory of polyhedral molecules. I. Physical factorizations of the secular equation,” Journal of Chemical Physics, vol. 36, no. 8, pp. 2179–2195, 1962.
- R. Hoffmann, “An extended Hückel theory. I. Hydrocarbons,” Journal of Chemical Physics, vol. 39, no. 6, pp. 1397–1412, 1963.
- M. Whangbo and R. Hoffmann, “The band structure of the tetracyanoplatinate chain,” Journal of the American Chemical Society, vol. 100, no. 19, pp. 6093–6098, 1978.
- A. Anderson, “Derivation of the extended Hückel method with corrections: one electron molecular orbital theory for energy level and structure determinations,” Journal of Chemical Physics, vol. 62, no. 3, pp. 1187–1188, 1975.
- A. Anderson and R. Hoffmann, “Description of diatomic molecules using one electron configuration energies with two-body interactions,” Journal of Chemical Physics, vol. 60, no. 11, pp. 4271–4273, 1974.
- K. Sun, M. Kohyama, S. Tanaka, and S. Takeda, “Theoretical study of atomic oxygen on gold surface by Hückel theory and DFT calculations,” Journal of Physical Chemistry A, vol. 116, no. 38, pp. 9568–9573, 2012.
- K. Sun, M. Kohyama, S. Tanaka, and S. Takeda, “A theoretical study of CO adsorption on gold by Hückel theory and density functional theory calculations,” Journal of Computational Chemistry, vol. 32, no. 15, pp. 3276–3282, 2011.
- M. Oana, R. Homann, H. Abruña, and F. DiSalvo, “Adsorption of CO on PtBi2 and PtBi surfaces,” Surface Science, vol. 574, no. 1, pp. 1–16, 2005.
- M. B. Fernández, G. M. Tonetto, G. H. Crapiste, M. L. Ferreira, and D. E. Damiani, “Hydrogenation of edible oil over Pd catalysts: a combined theoretical and experimental study,” Journal of Molecular Catalysis A, vol. 237, no. 1-2, pp. 67–79, 2005.
- S. Simonetti, C. Lanz, and G. Brizuela, “Hydrogen embrittlement of a Fe–Cr–Ni alloy: analysis of the physical and chemical processes in the early stage of stress corrosion cracking initiation,” Solid State Sciences, vol. 15, pp. 137–141, 2013.
- S. Simonetti, S. Ulacco, G. Brizuela, and A. Juan, “Computational study of cis-oleic acid adsorption on Ni(111) surface,” Applied Surface Science, vol. 258, no. 15, pp. 5903–5908, 2012.
Copyright © 2013 A. Díaz Compañy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.