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ORIGINAL ARTICLE
12 (
8
); 2959-2972
doi:
10.1016/j.arabjc.2015.06.030

Effect of the side chain on the properties from cidofovir to brincidofovir, an experimental antiviral drug against to Ebola virus disease

SST, Servicio sanitario della Toscana, Azienda USL 9 di Grosseto, Via Cimabue, 109, 58100 Grosseto, Italy
Cátedra de Química General, Instituto de Química Inorgánica, Facultad de Bioquímica, Química y Farmacia, Universidad Nacional de Tucumán, Ayacucho 471, 4000 San Miguel de Tucumán, Tucumán, Argentina

⁎Corresponding author. Tel.: +54 381 4247752; fax: +54 381 4248169. sbrandan@fbqf.unt.edu.ar (Silvia Antonia Brandán)

Disclaimer:
This article was originally published by Elsevier and was migrated to Scientific Scholar after the change of Publisher.

Peer review under responsibility of King Saud University.

Abstract

In the present work, the structural, topological and vibrational properties of five members of the series C8H13N3O5PO—R (R⚌H, —(CH2)3—O—CH2—CH3, —(CH2)3—O—(CH2)7—CH3, —(CH2)3—O—(CH2)13—CH3 and —(CH2)3—O—(CH2)15—CH3), where the first and the latter members are the two potential antiviral agents, cidofovir and brincidofovir, respectively, were studied by using density functional theory (DFT), natural bond orbital (NBO), atoms in molecules theory (AIM), frontier orbitals and molecular electrostatic potential (MEP) calculations and the hybrid B3LYP/6-31G method. Here, the changes in the properties were followed modifying the side chain from cidofovir to brincidofovir. This study reveals clearly the differences in the properties when they change the longitude of the side chain. The high dipole moment value of brincidofovir together with the large side chain could explain the ability of brincidofovir to traverse biological membranes more rapidly than cidofovir while the low bond order that presents the PO—R bond in brincidofovir probably supports the quick removal of its side chain inside the cell. The frontier orbitals predicted a high reactivity and a higher electrophilicity index for brincidofovir, as compared with cidofovir. The complete assignment of the 90 vibration modes of cidofovir was proposed.

Keywords

Brincidofovir
Vibrational spectra
Molecular structure
Force field
DFT calculations
1

1 Introduction

At the moment, our investigation group has centered the interest in the physicochemical, structural and vibrational studies of compounds with pharmacological and/or medicinal applications such as, potential antiviral, antimicrobial, anticancer and antihypertensive drugs (Romano et al., 2013a, 2013b, 2014; Raschi et al., 2014; Márquez and Brandán, 2014; Márquez et al., 2015; Checa et al., 2014) because a technique that results easy and quick to identify and quantify different systems by using the infrared and Raman spectra is the vibrational spectroscopy, as reported broadly in the literature (Pulay et al., 1979; Keresztury et al., 2002). Besides, in the case of molecules with unknown structures, the computational simulation is of great aid to find the most stable structure in order to perform the complete assignment of the vibrational spectra (Márquez and Brandán, 2014; Romano et al., 2014; Márquez et al., 2015; Checa et al., 2014). When the structural studies are combined with the scaled quantum mechanical (SQM) methodology (Rauhut and Pulay, 1995) by means of the normal internal coordinates together with an adequate program (Sundius, 2002) it is possible to carry out a complete and reliable assignment of all the vibration normal modes of a molecule. This task is not easy in especial when the molecule in study has 90 atoms, as in the case of brincidofovir and, therefore, 264 vibration normal modes are expected for this molecule. In this work, we have studied two antiviral agents, brincidofovir and cidofovir because both have a common skeleton but brincidofovir is different from cidofovir by the large side chain: —(CH2)3—O—(CH2)15—CH3. Structurally, brincidofovir is the [(2S)-1-(4-amino-2-oxopyrimidin-1-yl)-3-hydroxypropan-2-yl]oxymethyl-(3-hexadecoxypropoxy)phosphinic acid while chemically is named hexadecyloxypropyl cidofovir (HDP-CDV) with a molecular formula of C27H52N3O7P. On the other hand, cidofovir (CDV) is the [(2S)-1-(4-amino-2-oxopyrimidin-1-yl)-3-hydroxypropan-2-yl]oxymethylphosphonic acid which has a simpler molecular formula, C8H14N3O6P. Many authors have recently reported that the addition of that large side chain in HDP-CDV, in reference to CDV, improves their activity in vitro and in vivo against certain virus types (Hostetler, 2009, 2010; Quenelle et al., 2010; Beadle and Aldern, 2002; Keith et al., 2004; Kern, 2003; Kern et al., 2004). Obviously, the incorporation of that large side chain to CDV has produced changes in the chemical properties of HDP-CDV and, so far, many of them are ignored. At the present time there are great quantities of works related to the cidofovir and brincidofovir activities against DNA viruses (Erice, 1999; Andrei and Snoeck, 2010; Abdulkarim et al., 2003; Lanier et al., 2013; Florescu and Keck, 2014; Olson et al., 2014) but, few studies were found related to their structures and/or properties (Kumar et al., 2014; Atabey and sari, 2014), for these reasons, only some of those works were here considered. In this context, it is interesting to know the structural, electronic, topological and vibrational properties of both forms HDP-CDV and CDV to understand the relation that exists between their structures and properties in connection with the biological activities of both compounds. Hostetler (Hostetler, 2009) studying the effect of alkyl chain length has reported that alkoxyalkyl esters with shorter chains (12–16 atoms) or long chains (24 atoms) exhibit less antiviral activity. The purpose of this work is to follow the changes that experiment some of their properties going from cidofovir to brincidofovir because the side chain changes from zero up to 19 C atoms. In this sense, we studied the properties of five different systems increasing the number of C atoms from zero (cidofovir) to 5, 11, 17 up to 19 C atoms, whose final structure corresponds to brincidofovir. Here, the available experimental infrared of cidofovir (Sonvico et al., 2009) was used in combination with the theoretical DFT calculations in gas phase in order to produce the complete assignment of the bands observed to the corresponding vibration normal modes. The hybrid B3LYP/6-31G method was used to optimize the different structures proposed (Becke, 1993; Lee et al., 1988). Besides, NBO (Reed et al., 1988; Glendening et al., 1996), AIM (Bader, 1990; Biegler-Köning et al., 2001), HOMO–LUMO orbitals (Parr and Pearson, 1983) and MEP calculations (Besler et al., 1990) were computed to investigate atomic charges, stabilization energies, bond orders, topological properties, electrophilic and nucleophilic reaction sites in the different structures. In addition, a series of descriptors (Márquez and Brandán, 2014; Checa et al., 2014; Parr and Pearson, 1983) were also calculated in order to predict the reactivities and behaviors of all the systems considered. All the properties of these series of systems were compared and analyzed and eventually the changes performed in the properties with the longitude of the side chain were graphically presented. The studied properties in this work partly justify the higher ability of brincidofovir to traverse biological membranes more rapidly than cidofovir and, also provide a new insight to study molecules containing large side chains.

2

2 Computational details

The structures of all the systems studied containing different quantity of C atoms together with the corresponding names and R groups belonging to the side chain can be seen in Table 1 while Fig. S1 shows the PO—R bond that was modified in the initial structure of cidofovir. Taking into account that cytosine forms part of the structure of cidofovir and, that according to the reported data in the literature their structures present three tautomers, amino-oxo, imino-oxo and imino-hydroxy (Sambrano et al., 2001; Brandán et al., 2008), as shown in Fig. S1, these three structures were also here considered. For the amino-oxo structure, the potential energy surface curves were studied modifying the N12—C1—C3—O22, N12—C1—C3—C5, C1—C3—O22—C23, C1—C3—C5—C16 and C3—O22—C23—P26 dihedral angles. Thus, Fig. 1 shows the most stable amino oxo structure of cidofovir which represents the common structure in all the systems proposed. Note that the final structure with 19 C atoms corresponds to the structure of brincidofovir. All these structures were modeled with the GaussView program (Nielsen and Holder, 2008) and, later, they were optimized at the B3LYP/6-31G level of theory (Becke, 1993; Lee et al., 1988) with the Gaussian 09 program (Frisch et al., 2009). Here, we have considered only the amino-oxo tautomer with bigger population analysis (97.85%), as indicated in Table 2. It is important to clarify that the structures proposed from II up to V were optimized as sodium salts because brincidofovir is available commercially as that salt. For all the structures, two charge types were analyzed, they are the natural population atomic (NPA) and the charges derived from Merz-Kollman (Besler et al., 1990). Later for all the systems, the bond orders and the stabilization energies were also computed with the NBO 3.1 program (Glendening et al., 1996) while the AIM2000 software (Biegler-Köning et al., 2001) was used to calculate their topological properties. On the other hand, the harmonic force fields for the systems I and II were evaluated using the same level of theory and the SQMFF methodology (Rauhut and Pulay, 1995) with the Molvib program (Sundius, 2002). The definitions of the natural internal coordinates for cidofovir (I) and the II compound are similar to those reported in the literature (Romano et al., 2013a, 2013b; Márquez and Brandán, 2014; Romano et al., 2014; Checa et al., 2014) and, for this reason, only for cidofovir are listed in Table S1. In this way, the complete assignments for those two compounds were performed from the resulting force fields taking into account the potential energy distribution components (PED) ⩾ 10%. The properties observed for all the series of molecules studied were graphically compared in function of the number of C atoms of the side chain.

Table 1 Structures of the studied systems with the quantity of C atoms in the side chain.
Molecular structures Name R group side chain C atoms side chain
C8H13N3O5P—O—Ra Ia H 0
NaC8H13N3O5P—O—Rc II —(CH2)3—O—CH2—CH3 5
NaC8H13N3O5P—O—Rc III —(CH2)3—O—(CH2)7—CH3 11
NaC8H13N3O5P—O—Rc IV —(CH2)3—O—(CH2)13—CH3 17
NaC8H13N3O5P—O—Rb,c Vb —(CH2)3—O—(CH2)15—CH3 19
Cidofovir.
brincidofovir.
Sodium salt.
Theoretical structure of cidofovir together with the atoms numbering.
Figure 1
Theoretical structure of cidofovir together with the atoms numbering.
Table 2 Comparison of the total (E) energies, dipole moment values (μ) and volumes for all the systems studied in gas phase.
Molecules E (Hartrees) μ (D) V3)
B3LYP/6-31G methodc
Ia −1270.2852 5.19 264.1
II −1703.8213 10.50 410.8
III −1939.7034 10.58 524.0
IV −2175.5857 10.61 636.6
Vb −2254.2132 10.64 677.5
Tautomers E (Hartrees) μ (D) V3) ΔE (kJ/mol) % population
Cidofovir
Amino-oxo −1270.2852 5.19 264.1 0.00 97.85
Imino-oxo −1270.2816 4.96 262.9 9.44 2.15
Imino-hydroxy −1270.2435 6.64 262.5 109.38 0.00
Cidofovir.
brincidofovir.
This work.

3

3 Results and discussion

3.1

3.1 Geometrical parameters

Table 3 shows a comparison of the calculated geometrical parameters for the different species studied at the B3LYP/6-31G* level of theory with those experimental reported by Borodi (Borodi et al., 2001) for hydrated sodium cytidine-5′-monophosphate and, with the calculated values for the aminoethyl phosphonic acid (Roldán et al., 2013) because so far, the structures of cidofovir and brincidofovir were not experimentally reported. The root-mean-square deviation (RMSD) values were also included in Table 3. Obviously, slightly variations are observed in the bond length and angles values, as it was expected because the theoretical and experimental structures are different among them but, when cidofovir is compared with the values reported by Kumar (Kumar et al., 2014) by using the B3LYP/6-311++G* method a very well concordance is observed. Analyzing the graphics of bond lengths and angles in function of the number of C atoms (Figs. 2 and 3) we observed that the P26—O28 and P26—O29 bonds and the O22—P26—O27, C23—P26—O27, C23—P26—O28 and C23—P26—O29 angles present the higher variations, as it is expected because these parameters are related to the PO—R bonds that are modified, as shown in Fig. S1. Fig. 3 shows that the dihedral angles practically remain constant with the increase in the number of C atoms in side chain. A comparison of the total energy, dipole moment and volume values for all the systems studied in gas phase can be seen in Table 2 while the variations of both properties in function of the C atoms are shown in Fig. 4. The volumes for all the structures were calculated by using the Moldraw program (Ugliengo, 1998). Note that the volume variation with the longitude of the side chain is practically lineal, with a very good coefficient correlation (0.9912) while the dipole moment values increase quickly up to a side chain of five C atoms and, then, remain almost constant when increasing the C atoms up to 19. Hence, the lengthening of the side chain generates clearly an increase in the dipole moment value from cidofovir to brincidofovir of practically twice their value. These results suggest that brincidofovir could penetrate more deeply into the bilayer interior, as reported by Sachs and Woolf (2003) that larger anions penetrate more deeply into a more heterogeneous and hydrophobic molecular region.

Table 3 Comparison of the calculated geometrical parameters for the different studied compounds.
B3LYP/6-31Ga Exp.b,c
Compounds
Parameters 0 5 11 17 19
Bond lengths (Å)
C1—N12 1.464 1.466 1.466 1.466 1.466 1.457b
C3—O22 1.440 1.436 1.436 1.436 1.436
C5—O16 1.427 1.427 1.427 1.427 1.427
C6—O14 1.226 1.227 1.227 1.227 1.227 1.242b
C7—N18 1.367 1.370 1.370 1.370 1.370 1.299b
C7—N13 1.320 1.320 1.320 1.320 1.320 1.346b
C23—P26 1.839 1.854 1.854 1.854 1.854 1.826c
P26—O27 1.490 1.500 1.500 1.500 1.500 1.479c
P26—O28 1.632 1.721 1.721 1.721 1.721 1.638c
P26—O29 1.839 1.528 1.528 1.528 1.528 1.604c
RMSD 0.087 0.050 0.050 0.050 0.050
Bond angles (°)
C3—C5—O16 106.9 107.3 107.3 107.3 107.3
C3—O22—C23 114.7 114.7 114.8 114.6 114.6
O22—C23—P26 110.0 113.2 113.3 113.2 113.2
C23—P26—O27 116.5 112.1 112.1 112.1 112.1 117.2c
C23—P26—O28 106.5 102.0 102.1 102.1 102.1 100.1c
C23—P26—O29 99.9 108.3 108.3 108.3 108.3 104.4c
RMSD 4.5 3.9 3.9 3.9 3.9
Dihedral angle (°)
N12—C1—C3—O22 −160.7 −159.3 −159.3 −159.3 −159.2
C3—O22—C23—P26 −82.7 −81.4 −81.3 −81.2 −81.2
C1—C3—C5—O16 −171.7 −171.0 −170.7 −171.0 −171.0
O22—C23—P26—O27 43.1 39.3 39.7 39.1 39.0
O22—C23—P26—O28 −82.8 −77.1 −76.6 −77.3 −77.4
O22—C23—P26—O29 170.9 178.8 179.2 178.5 178.5
This work.
From reference Borodi et al. (2001).
From reference Roldán et al. (2013).
Variation of the bond lengths (upper) and angles (bottom) in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G∗ level of theory.
Figure 2
Variation of the bond lengths (upper) and angles (bottom) in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G level of theory.
Variation of the dihedral angles in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G∗ level of theory.
Figure 3
Variation of the dihedral angles in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G level of theory.
Variation of the dipole moment (upper) and volume (bottom) in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G∗ level of theory.
Figure 4
Variation of the dipole moment (upper) and volume (bottom) in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G level of theory.

3.2

3.2 Atomic charges, molecular electrostatic potentials, bond orders

Here, the MK and NPA charge studied for all the systems are summarized in Tables S2 and S3, respectively while the corresponding values for the C, O and N atoms in function of the C atoms are represented in Figs. 5 and 6, respectively. Analyzing the MK charges on the C atoms we observed that the charges on the C1 atoms present the higher variations with the increase of C atoms in the side chain while on the O22, O28 and O29 atoms, an increase was observed quickly up to a side chain of five C atoms and, later the values remain almost constant up to a side chain of 19 C atoms. In relation to the N atoms, note that the MK charges on the N12 atoms have the least negative values and present the highest modifications with the side chain. Obviously, this observation is justified because the N12 atom is directly linked to the side chain that changes. In contrast, when we considered the NPA charges of Fig. 6 we observed that the charges on the O16 present the highest changes with the side chain while the charges on the N atoms remain practically constant with the increase in the number of C atoms and, also the NPA charges on the N12 atoms have the least negative values, in accordance with the MK charges. The exhaustive analysis of the molecular electrostatic potential (MEP) values presented in Table S4 and Fig. 7 shows clearly that the MEP values on the O29 atoms present the highest changes with an increase in the number of C atoms, as it was expected because the PO—R bond is the bond modified by the increment of different groups in the side chain. Thus, the MEP values decrease quickly up to a side chain of five C atoms and, later the values remain almost constant up to a side chain of 19 C, as observed in Fig. 7. The MEP surface mapped for cidofovir (I structure with R⚌H) seen in Fig. S2, shows a strong red color on the O14, N13 and O27 atoms indicating the nucleophilic sites because these regions are acceptor sites of H bonds while on the H atoms belonging to the NH2 and O28—H32 groups, strong blue colors are observed indicating electrophilic sites due to the fact that they are donor sites of H bonds. The mapped MEP surface for brincidofovir presents a green color (inert or inactive site) on practically all the surface of the large side chain and only a strong blue color is observed on the sodium atom indicating that this site is strongly donor, for this reason, the graphic is not presented here. The study of the bond orders, by using the Wiberg indexes can be seen in Table S5 and Fig. S3. The figures show clearly that the C23 atoms have the lowest values while the O29 atoms present the highest modifications in the bond order values because they are linked to the different R groups of the side chain. On the other hand, the values of the O28 atoms increase with the number of C atoms while the values of O29 decrease quickly up to a side chain of five C atoms and, later the values remain almost constant up to a side chain of 19 C. In relation to the N atoms, the low bond order values are observed in the N12 atoms because these atoms are directly linked to the side chain. The graphics reveal clearly that from cidofovir up to a side chain of 5 C, atoms increase the MK charges on the O28 and O29 atoms belonging to the PO3 groups and also increase the MEP on the O29 atoms and, as a consequence a decrease in the bond order for the O29 atoms is observed. This study shows that the hydrophobic side chains from 11 up to 19 C atoms together with the nucleophilic and electrophilic sites determine the chemical and biological behaviors, as reported by Immel (1995).

Variation of the MK charges on the C (upper), O (medium) and N (bottom) atoms in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G∗ level of theory.
Figure 5
Variation of the MK charges on the C (upper), O (medium) and N (bottom) atoms in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G level of theory.
Variation of the NPA charges on the C, O (upper)and N (bottom) atoms in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G∗ level of theory.
Figure 6
Variation of the NPA charges on the C, O (upper)and N (bottom) atoms in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G level of theory.
Variation of the MEP values on the C (upper), O (medium) and N (bottom) atoms in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G∗ level of theory.
Figure 7
Variation of the MEP values on the C (upper), O (medium) and N (bottom) atoms in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G level of theory.

3.3

3.3 NBO and AIM studies

The stabilities of all the structures proposed were analyzed by NBO (Reed et al., 1988; Glendening et al., 1996) and AIM calculations (Bader, 1990; Biegler-Köning et al., 2001). In this way, Table S6 shows the main delocalization energies for the five structures in gas phase by using 6-31G basis set while Fig. S4 shows the graphics of these delocalizations in function of the number of C atoms. Note that the LP(2)O29 → C23P26 delocalization is only observed in the structures different from cidofovir (I) because only this species has a PO—H bond instead of the PO—R bond that has the remaining structures. Besides, the total energy slightly increases with the increase of C atoms of the side chain. Thus, taking into account the total energy, the stability increases slightly from I up to V, it is from cidofovir up to brincidofovir. The structure with 11 C atoms in the side chain has the highest stability (2687.14 kJ/mol), as observed in Table S6.

The AIM calculations were used to study the different interactions of all the species proposed by means of their topological properties. Thus, the parameters in the bond critical points (BCPs) and ring critical points (RCPs) such as, the electron density distribution, ρ(r), the Laplacian, ∇2ρ(r), the eigenvalues (λ1, λ2, λ3) of the Hessian matrix and, the λ13 ratio values are observed in Table S7. The latter ratio allows the description of the character of interaction between atoms (Bushmarinov et al., 2009). Hence, when λ13 > 1 and ∇2ρ(r) < 0 the interaction is typical of covalent bonds (called shared interaction) with high values of ρ(r) and ∇2ρ(r) while when λ13 < 1 and ∇2ρ(r) > 0 the interaction is called closed-shell interaction and it is typical of ionic, highly polar covalent and hydrogen bonds as well as of the van-der-Waals and specific intermolecular interactions. Table S7 shows the analysis of BCPs and RCPs for all the structures while Fig. 8 shows the variations of ρ(r) in the H bond interactions observed for all the molecules in function of the longitude of the side chain. Note that the O25- - -H16 interaction is only observed in cidofovir (I) while the O22- - -H33 interaction is observed in the remaining compounds. The graphic clearly shows that the densities in the O27- - -H2 and O27- - -H11 interactions present the highest variations with the number of C atoms, increasing quickly their densities from (I) up to a side chain of five C atoms and, later all the values remain almost constant up to a side chain of 19 C. The proximities between the atoms involved in those two interactions justify the increase in their density values, as it can be seen in Table S7. Fig. S5 shows the molecular graphic of cidofovir in gas phase at B3LYP/6-31G level of calculation. This study shows clearly that the high density values of the O27- - -H2 and O27- - -H11 interactions and the existence of seven BCPs for brincidofovir (V) support their highest stability, in relation to cidofovir (I) which presents only five BCPs.

Variation of the density values (in a.u.) of the H bond interactions in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G∗ level of theory.
Figure 8
Variation of the density values (in a.u.) of the H bond interactions in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G level of theory.

3.4

3.4 Frontier orbitals and descriptors analyses

The reactivities and behaviors of all the species proposed were predicted by using the gap energy values and some important descriptors reported in the literature (Márquez and Brandán, 2014; Checa et al., 2014; Parr and Pearson, 1983). Thus, Table S8 shows the calculated HOMO and LUMO orbitals, energy band gap, chemical potential (μ), electronegativity (χ), global hardness (η), global softness (S) and global electrophilicity index (ω) for all the species at B3LYP/6-31G level of theory. Fig. S6 shows the variation of the frontier orbital and gap energy values in function of the numbers of C atoms of the different series of molecules proposed while in Fig. 9 the variations of those descriptors can be seen in function of the number of C atoms of the side chain. Fig. S6 shows that the increment in the number of C atoms generates a notable reduction in the gap values and, as a consequence the reactivity increases from cidofovir up to brincidofovir. Here, as observed in some properties above, the reactivity from cidofovir increases quickly up to a side chain of five C atoms and, later the values remain approximately constant up to a side chain of 19 C. On the other hand, Fig. 9 shows clearly that the electrophilicity index is higher in brincidofovir than cidofovir, then, the increase in the activity of HDP-CDV in reference to CDV is probably related to this index. The highest electrophilicity index and the lowest gap energy observed for a side chain of 5 C atoms probably predicted that the compound II could act as a drug with better properties than brincidofovir. On the other hand, comparing brincidofovir with thymidine, the first compound has lower gap value (−3.7715 eV) and higher electrophilicity index (3.5474 eV) than thymidine whose values are −5.4748 and 2.0728 eV, respectively.

Variation of the descriptor values in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G∗ level of theory.
Figure 9
Variation of the descriptor values in function of the numbers of C atoms of the different structures proposed in gas phase at the B3LYP/6-31G level of theory.

4

4 Vibrational analysis

The optimized molecule’s series have C1 symmetries. Cidofovir has 90 vibration normal modes while the II structure has a total of 138 vibration normal modes where all the vibration modes are infrared and Raman active. Fig. S7 shows a comparison between the available experimental infrared spectra of cidofovir taken from Sonvico (Sonvico et al., 2009) and those predicted at B3LYP/6-31G level of theory for the structures with 11, 17 and 19 C atoms in the side chains. The observed and calculated wavenumbers and assignments for cidofovir and the (II) compound in gas phase are observed in Table 4 while in Table S9 the experimental and predicted wavenumbers are compared for the most important vibration modes of cidofovir with those calculated for all the molecules of the series. The assignment of the experimental bands to the normal modes of vibration was performed by using the SQMFF methodology (Rauhut and Pulay, 1995) at the B3LYP/6-31G level of theory and taking into account the Potential Energy Distribution (PED) calculated with the Molvib program (Sundius, 2002). Table S10 summarizes the PED contributions and assignments for cidofovir in gas phase. The exhaustive comparisons of the IR spectra show that, in general, in the 3047–2800 cm−1 region the intensities of the bands predicted evident clear modifications with the increment of CH2 groups in the side chains especially in those regions attributed to the CH2 stretching modes, as was observed by us in a series of seven N-benzylamides (Chain et al. submitted to Spectrochim. Acta, 2015). Fig. S8 shows the variation of the intensities corresponding to the antisymmetrical and symmetrical CH2 and to the C3—H4 stretching modes of the five species studied in function of the numbers of C atoms. Note that the highest intensities are observed for the CH2 antisymmetrical modes belonging to the C23 atom that increase quickly from cidofovir up to a side chain of 11 C atoms and, later slightly decrease up to 19 C atoms. On the other hand, the intensities corresponding to the symmetrical modes present an oscillatory behavior, as observed in Fig. S8. The analysis of the Raman spectra (Figs. S9 and S10) for all the species was presented in the Supporting material. Evidently, these vibrational studies reveal that the CH2 groups linked to the PO3 groups undergo the highest modifications as a consequence of the lengthening of the side chain in one of the PO—H bonds. Moreover, Table 4 shows that when the side chain increases in five C atoms slight changes, principally in the vibration modes assigned to the PO3 groups, are observed. The calculated harmonic force fields for cidofovir and the II compound can be obtained upon request. Below, a brief discussion of the assignment of the main vibration modes of cidofovir is presented.

Table 4 Observed and calculated wavenumbers (cm−1) and assignments for cidofovir in gas phase.
Modes IRb Cidofovir (I)a (II)a
Calc.c Int IRd Rae SQMf Assignmenta SQMf Assignmenta
1 3753 vw 3764 20.2 170.2 3608 νO16—H17 3606 νO16—H17
2 3522 s 3757 91.5 65.7 3601 νO28—H31
3 3395 sh 3742 91.1 185.1 3587 νO29—H32
4 3339 s 3708 31.3 82.1 3554 νaNH2 3550 νaNH2
5 3267 s 3587 68.7 207.2 3438 νsNH2 3434 νsNH2
6 3100 s 3234 4.8 111.5 3100 νC8—H9 3097 νC8—H9
7 3209 14.9 86.0 3076 νC10—H11 3065 νC10—H11
8 3048 sh 3172 1.9 33.4 3040 νaCH2(C1) 3047 νaCH2(C1)
3005 νaCH3
9 3131 4.8 84.2 3002 νaCH2(C23) 3002 νaCH3
2992 νsCH2(C1)
10 3111 25.2 77.8 2982 νsCH2(C1) 2980 νaCH2(C23)
2978 νaCH2(C31)
11 3085 33.6 73.8 2957 νaCH2(C5) 2954 νaCH2(C5)
12 2949 sh 3074 22.8 74.0 2947 νsCH2(C23) 2948 νaCH2(C34)
2943 νC3—H4
13 2933 m 3066 3.1 35.8 2939 νC3—H4 2933 νsCH3
2929 νsCH2(C31)
2927 νsCH2(C23)
2910 νsCH2(C34)
14 2857 w 3027 27.7 97.2 2901 νsCH2(C5) 2893 νsCH2(C5)
2878 νaCH2(C41)
2873 νaCH2(C37)
2858 νsCH2(C41)
2845 νsCH2(C37)
15 1695 vs 1775 548.3 14.8 1712 νC6⚌O14 1709 νC6⚌O14
16 1647 sh 1704 503.6 7.3 1646 νC8⚌C10 1647 νC8⚌C10
17 1544 w 1658 76.9 9.5 1585 δNH2 1595 δNH2
18 1520 sh 1575 183.3 27.3 1523 νC7—N13 1524 νC7—N13
1505 δCH2(C41)
1490 δCH2(C31)
19 1476 sh 1534 70.9 7.2 1483 νC7—N18 1480 βC10—H11
1478 δCH2(C37)
1466 δCH2(C5)
20 1460 w 1528 17.0 4.9 1463 δCH2(C5) 1465 δaCH3
1459 δCH2(C34)
21 1500 16.0 20.9 1450 wagCH2(C5) 1450 wagCH2(C5)
1450 δaCH3
1446 wagCH2(C37)
22 1432 sh 1497 29.9 12.4 1437 δCH2(C23) 1436 δCH2(C23)
23 1483 1.5 4.1 1429 δCH2(C1) 1431 δCH2(C1)
1415 wagCH2(C31)
24 1397 sh 1439 34.3 6.2 1407 ρC3—H4 1407 ρC3—H4
1395 wagCH2(C41)
25 1380 sh 1420 115.1 1.5 1381 νN12—C10 1382 νN12—C10
1368 δsCH3
26 1361 w 1389 99.8 14.5 1353 wagCH2(C1) 1356 wagCH2(C1)
27 1345 sh 1379 21.0 2.4 1346 βC10—H11 1344 νC7—N18
28 1328 sh 1361 2.1 3.6 1331 wagCH2(C23) 1326 wagCH2(C23)
1313 ρ′C3—H4
29 1301 sh 1345 12.4 2.7 1315 ρ′C3—H4 1290 wagCH2(C34)
1288 ρCH2(C37)
1281 ρCH2(C31)
1277 ρCH2(C41)
30 1270 w 1310 14.1 3.0 1272 ρCH2(C1) 1273 ρCH2(C1)
31 1245 sh 1287 186.3 8.4 1243 ρCH2(C23) 1241 ρCH2(C23)
32 1230 sh 1274 28.3 34.0 1234 ρCH2(C5) 1232 ρCH2(C5)
33 1214 m 1266 31.3 9.5 1214 νC6—N13 1213 νaPO2
34 1214 m 1260 134.5 4.0 1211 νP26⚌O27 1211 νC6—N13
35 1185 sh 1230 39.5 3.3 1190 νC1—N12, βC8—H9 1189 ρCH2(C34)
1188 νC1—N12
36 1166 m 1216 34.7 32.3 1175 δO16—H17 1175 δO16—H17
1146 νC41—O40
1119 νC37—O40
1118 τwCH2(C41)
37 1146 s 1150 64.1 4.6 1104 νC23—O22 1103 βC8—H9
38 1106 sh 1135 109.4 2.4 1093 νC3—O22 1089 νC3—O22
39 1126 12.8 7.4 1081 νC1—C3 1080 νC1—C3
1071 ρNH2
40 1062 sh 1098 47.3 2.5 1068 ρNH2 1069 νC34—C37
1063 τwCH2(C31)
41 1046 s 1084 1.7 3.1 1034 τwCH2(C5) 1038 νC31—C34
1036 νC5—O16
42 1030 s 1074 49.2 3.6 1028 νC5—O16 1031 τwCH2(C5)
1023 νC31—O28
1021 γC10—H11
43 1006 sh 1055 62.6 3.2 1000 γC10—H11, νC3—O22 1007 νsPO2
44 986 sh 1047 65.6 0.8 996 γC10—H11
45 986 sh 1040 77.6 5.2 995 δO28—H31 997 νC23—O22
46 960 sh 1007 4.4 0.9 984 δO29—H32 988 νC41—C44
47 943 sh 973 14.5 6.0 943 νC7—C8 948 νC7—C8
48 871 sh 945 81.8 2.8 879 τwCH2(C23) 874 ρCH
49 835 w 892 90.1 3.2 838 νaPO2 838 τwCH2(C23)
830 τwCH2(C37)
50 876 132.1 4.1 823 τwCH2(C1) 823 τwCH2(C1)
51 811 sh 850 159.0 8.9 811 νsPO2
52 839 85.5 0.7 802 βR1(A6) 803 βR1(A6)
53 812 6.4 2.8 783 νC3—C5 786 νC3—C5
776 ρ′CH3
54 760 sh 782 9.6 0.4 770 γC6⚌O14 773 γC6⚌O14
55 732 sh 768 55.1 2.8 758 γC8—H9 759 γC8—H9
56 720 m 759 5.7 32.3 733 νC6—N12 736 νC6—N12
57 720 m 727 2.0 2.4 712 γC7—N18 721 νP26—C23
714 γC7—N18
713 τwCH2(C34)
58 683 sh 703 2.6 20.1 680 νP26—C23 675 νP26—O28
δO28C31C34
59 616 sh 611 2.2 3.8 604 βR2(A6) 605 βR2(A6)
60 600 w 585 2.9 2.8 578 βR3 (A6), βC6⚌O14 579 βC6⚌O14
61 576 sh 556 12.6 2.6 547 δC3C1N12 548 δO22C23P26
δC3C5O16
62 541 sh 552 15.7 1.6 541 δC3O22C23 545 δC3C1N12
δC3C5O16
529 βR3(A6)
63 521 w 534 77.4 3.0 513 δC5C3O22 510 wagPO2
64 518 37.0 1.3 490 τNH2 487 δC34C37O40
479 τNH2
468 δPO2
65 448 61.6 3.8 440 wagPO2, δC5C3O22 445 δC37O40C41
66 431 17.4 2.0 416 τR3(A6), γC1—N12
67 425 42.4 0.5 408 δPO2 418 τR3(A6), γC1—N12
68 400 3.4 1.6 394 βC1—N12 412 δC44C41O40
69 396 70.6 2.7 370 τwPO2 395 βC1—N12
70 374 4.3 0.7 367 βC7—N18 366 δC3O22C23
δC5C3O22
71 350 247.1 2.5 337 γNH2 353 νO29—Na48
72 334 33.2 1.1 325 γNH2, τNH2 338 βC7—N18
73 322 14.0 1.8 310 wagPO2 323 γNH2
303 νO29—Na48
300 δO22C23P26
74 296 10.4 2.6 291 δO22C23P26 284 δC23P26O28
75 277 2.8 0.8 271 δC1C3O22 277 δC1C3O22
76 271 49.0 1.5 261 τO28—H32
77 250 117.8 3.3 232 τO16—H17 246 δC1C3C5
78 239 30.4 2.4 216 τO16H17 234 τwCH3
τO28H32
233 δP26O29Na48
79 204 1.9 0.6 198 τR1(A6) 208 τO16—H17
198 τR1(A6)
80 190 27.3 0.6 183 δC1C3C5 189 τwPO2
177 ρPO2
81 155 9.6 0.4 149 δC23P26O27 153 τwCCO
82 147 28.3 2.6 139 τO28—H32 143 τC5—C3, τC34—C31
132 τC37—C34
83 121 21.8 1.8 115 ρPO2 129 δC31O28P26
84 112 7.8 0.2 104 τC5—C3 113 τO40—C37
103 τC5—C3
93 τC41—O40
85 88 4.7 0.7 78 τC23—O22 84 τC23—O22
86 67 8.8 2.0 61 τwC1—N12 71 τwC1—N12
62 δC31C34C37
87 55 0.8 1.7 51 τwCCO 53 τR2(A6)
48 τC34—C31
88 42 2.7 2.1 39 τR2(A6) 46 τO29—Na48
89 40 0.3 1.3 36 τwPO3 43 τO20—C21
34 τwCCO, τC37—C34
90 30 2.6 1.6 27 τC1—C3 32 τC1—C3
17 τwPO3
11 τC31—O28

ν, stretching; δ, scissoring; γ, wagging or out-of-plane deformation; ρ, rocking; τ, torsion; τw, twisting; a, antisymmetric; s, symmetric; R, ring; pyrimidine ring, (A6).

This work.
From reference Sonvico et al. (2009).
B3LYP/6-31G method.
Units in kmmol−1.
Raman activities in Å4 (amu)−1.
From scaled quantum mechanics force field.

4.1

4.1 Assignments

4.1.1

4.1.1 NH2 modes

According to the calculations, the two strong IR bands at 3339 and 3267 cm−1 region can be easily assigned to the NH2 stretching modes, as reported for similar compounds (Romano et al., 2013b; Brandán et al., 2008, 2011; Ladetto et al., 2014) while the IR bands at 1544 cm−1 can be assigned to the deformation mode. The shoulder at 1476 cm−1 is assigned to the C7—N18 stretching mode, as predicted by the calculations. The rocking mode was assigned to the shoulder at 1062 cm−1 while the twisting and wagging were predicted by the SQM calculations at 490 and 337 cm−1, respectively for which both modes could not be assigned.

4.1.2

4.1.2 OH modes

The IR bands and shoulder between 3753 and 3395 cm−1 are assigned to the OH stretching modes of cidofovir, in accordance with the assignments of compounds containing OH groups (Raschi et al., 2014; Márquez and Brandán, 2014; Roldán et al., 2013) while the three expected OH in-plane deformations are associated with the band at 1166 cm−1 and the shoulder at 986 cm−1, as observed in Table 4. The three corresponding out-of-plane deformation modes or torsion modes are predicted by the SQM calculations between 261 and 139 cm−1 and, for these reasons, these modes could not be assigned.

4.1.3

4.1.3 CH2 modes

In cidofovir six CH2 are expected stretching modes and only three deformation, rocking and torsion modes. All these modes were predicted by the calculations in the expected regions, as observed in Table 4 and as reported for similar molecules (Raschi et al., 2014; Romano et al., 2014; Roldán et al., 2013) and, accordingly, they were assigned in these regions.

4.1.4

4.1.4 PO3 groups

This group was analyzed taking into account the symmetry C2v with a tetrahedral environment, thus, a same number of vibrations are expected for this group. The band of medium intensity at 1214 cm−1 was assigned to the P26⚌O27 stretching mode because it is clearly predicted by the SQM calculation at 1211 cm−1 while the antisymmetrical and symmetrical P—O are predicted at 838 and 811 cm−1, hence, they were assigned to the band and shoulder at 835 and 811 cm−1, respectively. The scissoring or deformation, wagging, rocking and twisting modes were identified but they could not be assigned because all these modes were predicted in the region between 500 and 115 cm−1, as indicated in Table 4.

4.1.5

4.1.5 Skeletal modes

The C6⚌O14 and C8⚌C10 stretching modes for cidofovir are predicted by the SQM calculations with 68 and 33% PED contributions, respectively as observed in Table S10, thus they were assigned to the intense and broad band and shoulder at 1695 and 1647 cm−1, respectively. On the other hand, the C7—N13 and C7—N18 stretching modes are calculated with 23% and 12% PED contribution, respectively as observed in Table S10. Thus, they were assigned in the predicted region and according to similar compounds (Márquez and Brandán, 2014; Márquez et al., 2015; Brandán et al., 2008), as indicated in Table 4. Finally, the remaining modes are identified and only some of them could be assigned, as observed in Table 4.

5

5 Force constants

The force fields for cidofovir and the II compound were calculated from the corresponding force fields at B3LYP/6-31G level of theory by using the SQM methodology (Rauhut and Pulay, 1995) and the Molvib program (Sundius, 2002). The values can be seen in Table 5 compared with those reported for compounds containing similar groups (Romano et al., 2013b; Márquez and Brandán, 2014; Checa et al., 2014; Brandán et al., 2011). Note that the f(νN—H) force constant values for cidofovir and the II species present similar values to the conformers of other antiviral agent zalcitabine but, higher values than the corresponding to the three conformers of thymidine are observed because the latter compound has a N—H group in its structure instead of a NH2 group. However, when the values are compared with other molecules that contain NH2 groups such as, acetazolamide (6.45 mdyn Å−1) (Brandán et al., 2011) or 5-difluoromethyl-1,3,4-thiadiazole-2-amino (6.64 mdyn Å−1) (Romano et al., 2013b) the values of these constants are slightly different, too. These differences can be explained by the bond angles because in cidofovir the H—N—H angle has a value of 117.0°, similar to zalcitabine and in II a value of 116.6°, in azetazolamide the value is 111.5° and in the thiadiazole derivative is of 113.3°. The differences among these values are directly related to the geometry of the molecules because the NH2 group in azetazolamide is linked to a SO2 group tetrahedral while in the thiadiazole derivative, that group is linked to a five member ring and, in our case and in zalcitabine the group is linked to a six member ring. Evidently, the value of the constant related to the NH2 group is strongly dependent of the group or ring to which it is linked. In general, the values calculated for cidofovir are higher than those calculated for the II compound, with the exception of the f(νC—C)A6 and f(νC—O—H) constants whose high values are justified by the increase of C atoms in the side chain. Besides, we observed that the increment in the quantity of C atoms generates a slightly increase in the C—C stretching of the pyrimidine ring and, for this reason, a strong increase in the corresponding force constant is observed. In general, the constant force values are in agreement with those reported in the literature (Romano et al., 2013b; Márquez and Brandán, 2014; Checa et al., 2014; Brandán et al., 2011).

Table 5 Scaled force constants for cidofovir and the structure II proposed in gas phase by using the B3LYP/6-31G method.
Force constant Cidofovira IIa Zalcitabineb Refc Refd Thymidinee
C1 C2 C1 C2 C3
f(νO—H) 7.25 7.27 7.15 7.17 7.24 7.23 7.25
f(νN—H) 6.79 6.78 6.79 6.82 6.45 6.64 6.62 6.62 6.62
f(νC—H)A6 5.22 5.19 5.30 3.48 5.23 5.26 5.22
f(νCH2) 4.87 4.73 4.80 4.65 4.85 4.80 4.83
f(νC⚌C) 7.86 7.81 7.83 7.97 8.17 8.17 8.17
f(νC⚌O) 11.24 11.19 11.30 11.45 11.62 11.62 11.63
f(νC—O)SC 4.89 4.85 4.36 4.47 4.47 4.47 4.48
f(νC—O)OH 4.91 4.91 5.18 5.09 4.91 4.98 4.88
f(νC—N) 6.29 6.14 5.99 6.01 5.38 5.39 5.38
f(νC—C)A6 5.57 5.62 5.57 5.55 4.88 4.87 4.88
f(δH—N—H) 0.70 0.69 0.76 0.54 0.76 0.55
f(δH—C—H) 0.79 0.81 0.78 0.77 0.77
f(δC—O—H) 0.70 0.70 0.83 0.82 0.71 0.71 0.70

ν, stretching; δ, angle deformation; SC, side chain.

Units in mdyn Å−1 for stretching and mdyn Å rad−2 for angle deformations.

This work.
From reference Checa et al. (2014) for conformers of zalcitabine.
From reference Brandán et al. (2011) for acetazolamide.
From reference Romano et al. (2013b) for 5-difluoromethyl-1,3,4-thiadiazole-2-amino.
From reference Márquez and Brandán (2014) for conformers of thymidine.

Due to the extension of this work and to the quantity of information to present, the studies in solution will be presented in a next paper.

6

6 Conclusions

In the present work, the theoretical molecular structures of five members of the series C8H13N3O5PO—R (R⚌H, —(CH2)3—O—CH2—CH3, —(CH2)3—O—(CH2)7—CH3, —(CH2)3—O—(CH2)13—CH3 and —(CH2)3—O—(CH2)15—CH3) were determined by using the hybrid B3LYP/6-31G method in gas phase. Their structural, electronic, topological and vibrational properties were graphically studied in function of the quantity of C atoms in the side chains by using NBO, AIM, HOMO–LUMO, MEP calculations at B3LYP/6-31G level and the available IR spectrum of cidofovir. This study reveals clearly that the large side chain modifies the structures of the PO3 groups. Thus, the most negative MK charges on the O atoms and the positive charges on the P atoms belonging to the PO3 groups are observed for brincidofovir together with the higher MEP on the O29 atoms of those groups. The volume variation with the longitude of the side chain is practically lineal while the dipole moment value of brincidofovir is twice the value of cidofovir. This high polarity in brincidofovir together with the large side chain could support the ability of brincidofovir to traverse biological membranes more rapidly than cidofovir and, on the other hand, the low bond order that presents the O29—R bond suggests that the lipid side chain is removed inside the cell releasing high levels of cidofovir, as reported in the literature, where finally cidofovir is phosphorylated to the active antiviral cidofovir diphosphate. The NBO study shows a slightly increase in the stability from I up to V in gas phase while the AIM study suggests a higher stability of brincidofovir in relation to a cidofovir (I) in the same medium. Brincidofovir presents a higher electrophilicity index and a higher reactivity than cidofovir. The complete assignment of the 90 vibration modes of cidofovir was proposed for the first time by using the available experimental infrared spectrum and the SQM methodology. The theoretical assignment for the 138 vibration modes of the II compound was reported together with the corresponding force fields of these two structures. Finally, the main force constant of those two structures is reported here.

Acknowledgments

This work was supported with grants from CIUNT (Consejo de Investigaciones, Universidad Nacional de Tucumán). The authors would like to thank Prof. Tom Sundius for his permission to use MOLVIB.

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Appendix A

Supplementary material

Supplementary data associated with this article can be found, in the online version, at http://dx.doi.org/10.1016/j.arabjc.2015.06.030.

Appendix A

Supplementary material

Supplementary data 1

Supplementary data 1

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