Musa Ahmed1, Ibnelwaleed A Hussein1, Abdulmujeeb T Onawole1, Mohammed A Saad2. 1. Gas Processing Center, College of Engineering, Qatar University, P.O. Box 2713, Doha, Qatar. 2. Chemical Engineering Department, College of Engineering, Qatar University, P.O. Box 2713, Doha, Qatar.
Abstract
In the oil and gas industry, pyrite forms one of the most hardened scales in reservoirs, which hinders the flow of fluids. Consequently, this leads to blockage of the downhole tubular, formation damage, and complete shutdown of production and operational processes. Herein, a new green formulation based on borax (K2B4O7) is proposed for pyrite scale removal. The temperature effect, disk rotational speed, and borax concentration have been investigated using a rotating disk apparatus. Also, XPS and SEM-EDX analyses were conducted on the pyrite disk surface before and after the treatment with the green formulation. The new formulation showed the potential ability to dissolve pyrite without generating the toxic hydrogen sulfide (H2S). The dissolution rate of the scale in the new formulation is increased by 16% compared to that in a previous green formulation composed of 20 wt %DTPA+9 wt % K2CO3. Molecular modeling technique using DFT was used to study the solvation energies of Fe2+ and Fe3+. The latter had a higher solvation energy than the former, which confirmed that upon using the borax-based formulation to oxidize Fe2+ to Fe3+. It will aid the dissolution of pyrite scales. The new formulation achieved a corrosion rate that is 25 times lower than that of 15 wt % HCl, which is commercially used in treating scales. Finally, the proposed new formulation does not require the use of corrosion inhibitors; hence, it is expected to result in a more economical scale treatment method.
In the oil and gas industry, pyrite forms one of the most hardened scales in reservoirs, which hinders the flow of fluids. Consequently, this leads to blockage of the downhole tubular, formation damage, and complete shutdown of production and operational processes. Herein, a new green formulation based on borax (K2B4O7) is proposed for pyrite scale removal. The temperature effect, disk rotational speed, and borax concentration have been investigated using a rotating disk apparatus. Also, XPS and SEM-EDX analyses were conducted on the pyrite disk surface before and after the treatment with the green formulation. The new formulation showed the potential ability to dissolve pyrite without generating the toxic hydrogen sulfide (H2S). The dissolution rate of the scale in the new formulation is increased by 16% compared to that in a previous green formulation composed of 20 wt %DTPA+9 wt % K2CO3. Molecular modeling technique using DFT was used to study the solvation energies of Fe2+ and Fe3+. The latter had a higher solvation energy than the former, which confirmed that upon using the borax-based formulation to oxidize Fe2+ to Fe3+. It will aid the dissolution of pyrite scales. The new formulation achieved a corrosion rate that is 25 times lower than that of 15 wt % HCl, which is commercially used in treating scales. Finally, the proposed new formulation does not require the use of corrosion inhibitors; hence, it is expected to result in a more economical scale treatment method.
A persistent challenge
faced by the upstream sector of the oil
and gas industry is iron sulfide scales. This is especially true in
sour gas wells, which operate at high pressure and high temperature.[1,2] Iron sulfide scales hinder the assurance of flow by being deposited
in the near-wellbore area of the reservoir. This brings about formation
damage, blockage of the downhole tubular, and ultimately leads to
disrupting the production and operational processes. There are different
forms of iron sulfide scales, some of which include pyrrhotite (Fe7S8), troilite (FeS), greigite (Fe3S4), and pyrite (FeS2). The latter is one of the
most challenging due to the high sulfur to iron ratio (2:1);[3] a higher sulfur to iron ratio, corresponds to
greater acidification.[4] Iron sulfide scales
are formed when hydrogen sulfide formed from the metabolic activities
of sulfate-reducing bacteria (SRB) reacts with ferrous iron produced
from the corrosion of steel pipes in the production system.[5] The presence of hydrogen sulfide has negative
effects on both humans and industrial processes. Hence, the importance
on preventing its formation and promoting its removal.[6,7]Mechanical and chemical methods are the two popular methods
for
removing iron sulfide scales. The former includes the use of mechanical
mills and jet blasters. However, these methods are costly, time-consuming,
often enhance pitting corrosion, and more importantly, they cannot
remove the scales deposited in the near-wellbore.[1,8] As
for the chemical methods, they are more popular as they are simple
to use compared to the mechanical method and they can clean the scales
deposited in the near-wellbore. Nevertheless, some chemicals such
as hydrochloric acid lead to hydrogen sulfide generation, while others
such as chelating agents are often slow in reaction and dissolution
of the iron sulfide scales.[9,10] In our preceding works,[11−18] both experimental and computational methods have been implemented
to investigate iron sulfide scale removal by using green materials
such as chelating agents. However, there are still many challenges
particularly concerning pyrite, which is quite difficult to remove.
Hence, there is a need to develop a green formulation with effective
performance for removing iron sulfide scales from oil and gas wells.Besides chelating agents, oxidizers can convert pyrite into oxides
of iron (FeO and Fe2O3), which are easier to
remove than pyrite. This method of using the oxidizing agent has been
used earlier in removing iron sulfide sludge in the water-flood injection
system in which chlorine dioxide (ClO2) was used as the
oxidizer.[19] However, it was observed that
this reaction involves the formation of elemental sulfur, which aggravates
the situation by enhancing corrosion.In this work, the effectiveness
of potassium tetraborate tetrahydrate
(borax) in oxidizing and dissolving pyrite scales is investigated
under high pressure and high temperature (HPHT) conditions with the
aid of a rotating disk apparatus (RDA). Borax is an environmentally
friendly chemical. It has been used in liquid laundry and dishwashing
product industry for several years, it has low acute toxicity and
do not have any genotoxic or carcinogenic potential.[20,21] It was reported[20] to pose no hazard to
human health under conditions of usual handling and usage. Pyrite
oxidative dissolution is the primary cause of acid mine drainage (AMD)
formation, which has a major effect on the quality of water in mining
regions around the world. Numerous studies were conducted to clarify
the chemistry of pyrite dissolution[22−32] to boost the capability of identifying and forecasting AMD generation.Borax has been applied in the oilfield industry as a cross-linker
for gelled pigs in cleaning pipes.[33] It
has also been used in conjunction with xanthan gum in hydraulic fracturing.[33,34] Moreover, it is used as a safe and more effective material in gold
extraction compared to mercury;[35] hence,
borax is chosen for this study. The RDA has been used extensively
in the oil and gas industry for studying reaction kinetics[3,36] including pyrite.[37] Different parameters,
including temperature and composition, were varied to determine the
optimal conditions for the application of the oxidizing agent in pyrite
scale removal. Furthermore, theoretical calculations[38,39] using density functional theory (DFT) were performed to support
the experimental work and provide fundamental understanding on the
correlation between the oxidation state of iron and its solvation.
Results and Discussions
Fe2+/Fe3+ Solvation
Computational studies using DFT calculations
were carried out to
provide insights into the change in the oxidation state of iron in
pyrite after undergoing oxidation from the new formulation using borax.
Experimental results showed that the dissolution rate has improved
after Fe2+ has been oxidized to Fe3+. Our earlier
work,[38] which used molecular dynamics had
shown that the interaction between the potassium and sulfur atom was
the predominant factor in pyrite dissolution. Herein, we use another
computational technique, DFT, to understand pyrite dissolution by
studying the solvation of Fe2+and Fe3+ ions.Both Fe2+and Fe3+ form a perfect octahedral
geometry after being optimized with six water ligand molecules (Figure ) forming six bonds
made up of four equatorial and two axial bonds. The binding affinity
of each ion to the ligands was calculated using eq .
Figure 1
Optimized structures
(in solvent) for (A) Fe2+(H2O)6 and
(B) Fe3+(H2O)6 and their corresponding
electrostatic potential map of (C)
Fe2+(H2O)6 and (D) Fe3+(H2O)6. ax = axial, eq = equatorial.
Optimized structures
(in solvent) for (A) Fe2+(H2O)6 and
(B) Fe3+(H2O)6 and their corresponding
electrostatic potential map of (C)
Fe2+(H2O)6 and (D) Fe3+(H2O)6. ax = axial, eq = equatorial.Fe2+ had a binding affinity of 56.747
while Fe3+ had a binding affinity of −4.532 kcal
mol–1. Fe3+ had a much strong binding
affinity to water molecules
as a negative value denotes good binding while a positive value corresponds
to poor binding affinity. This implies that upon oxidation of Fe2+ to Fe3+, iron would easily bond to water molecules,
which would improve solvation. Shorter bond lengths (Table ) with oxygen atoms of the water
ligand were observed in Fe3+(H2O)6 compared to Fe2+(H2O)6, which demonstrates
the strong binding affinity observed in Fe3+. The shortest
bond lengths observed in the axial bonds (2.016 Å) of Fe3+(H2O)6, while for Fe2+(H2O)6, it occurred in two of the equatorial bonds
(2.129 Å) and the longest bond (2.152 Å) is observed in
the alternating bonds, hence vitiating one another. On the other hand,
there is no significant difference between the axial and equatorial
bond lengths in Fe3+(H2O)6.
Table 1
Selected Bond Lengths of the Optimized
Structures (in Solvent) for Fe2+ (H2O)6 and Fe3+ (H2O) 6
bond length (Å)
Fe2+
Fe3+
Fe–O2
2.129
2.017
Fe–O5
2.152
2.018
Fe–O8
2.129
2.017
Fe–O11
2.153
2.018
Fe–O14
2.146
2.016
Fe–O17
2.146
2.016
The solvation energy (ΔGsolv)
was calculated using eq (40)A high negative value for the ΔGsolv of solution corresponds to an ion that
is likely to solvate, while
a high positive value means that solvation will not occur. Fe2+(H2O)6 and Fe3+(H2O)6 both had ΔGsolv values
of −176.362 and −405.745 kcal/mol, respectively. The
latter had a higher negative value, which further validated the earlier
observations in both binding affinity and bond length that Fe3+ is more soluble than Fe2+. Hence, the computational
investigation provided an insight that oxidation of Fe2+ to Fe3+ would aid in pyrite dissolution, as the latter
would be remain solvated than the former. The electrostatic potential
(ESP) map (Figure ) of both compounds further attest to this as the ESP of Fe3+(H2O)6 has a deeper blue color than Fe2+(H2O)6. The acidity of an ion is dependent
on its ability to pull electrons toward itself. Fe3+ pulls
the electrons more strongly toward itself than Fe2+.[42] The electrons in the O–H bonds from water
molecules are pulled away from the hydrogens and closer to the oxygen
in Fe3+(H2O)6 than Fe2+(H2O)6. This implies that the hydrogen atoms
in the ligand water molecules in Fe3+(H2O)6 have a greater positive charge and hence are more attracted
to water molecules in the solution than Fe2+(H2O)6. This attraction makes them be readily donated to
the surrounding water molecules to form a hydroxonium ion (H3O+) and hence they are more acidic than Fe2+(H2O)6.[41−43] This further explained the reason
why Fe3+ ions are more acidic than Fe2+.
Effect of Borax Concentration on Pyrite Dissolution
Three dissolution experiments using an RDA were performed to study
the effect of potassium tetraborate (borax) concentration on pyrite
dissolution. All experiments were carried out at 1000 psi, 150 °C
for 30 min. Samples were taken regularly every 5 min. After that analyzed
for iron concentration using inductively coupled plasma optical emission
spectrometry (ICP-OES) and the results are shown in Figure . The iron dissolution rate
increased with the increase in concentration up to 14 wt %. However,
a decrease in the rate occurred at a concentration of 20 wt % (Figure ). The optimum concentration
of borax that yields maximum pyrite dissolution was determined as
14 wt %. Then, the optimum concentration of potassium tetraborate
was then used in the subsequent experiments to study the influence
of temperature, disk rotational speed, and corrosion rate. As seen
in Figure , the obtained
dissolution rate at the studied concentration is reported in (mol
cm–2 s–1). The dissolution rate
of pyrite using the new borax formulation outperformed its dissolution
in formulation of DTPA/K2CO3 reported in ref (3) at the same conditions
by 16.6%. The dissolution rates achieved by borax formulation and
DTPA/K2CO3 is 7.77 × 10–9 and 6.48 × 10–9 (mol cm–2 s–1), respectively.
Figure 2
Effect of Borax concentration
on pyrite dissolution (P = 1000 psi;
T = 150 °C; rpm = 1200).
Figure 3
Effect
of borax concentration on the dissolution rate of pyrite.
Effect of Borax concentration
on pyrite dissolution (P = 1000 psi;
T = 150 °C; rpm = 1200).Effect
of borax concentration on the dissolution rate of pyrite.
Effect of Temperature on Pyrite Dissolution
The effect of temperature on the iron dissolution rate in the new
formulation has been assessed. Two experiments were conducted at 100
and 150 °C to represent both shallow and deep hydrocarbon wells,
respectively. All experiments were performed at 1200 rpm, 1000 psi
for 30 min. About 3 mL of the sample was collected through an auto
sampler every 5 min then analyzed for iron concentration using ICP-OES.
From the plot of iron concentration versus time (Figure ), the dissolution rate was
calculated (Figure ). Iron concentration after 30 min has almost doubled when the temperature
was increased to 150 °C. The dissolution rate of pyrite increased
by four folds when the temperature was raised from 100 to 150 °C.
The activation energy for the dissolution was calculated from the
expression −rA = ke–. The ratio
of the two dissolution rates is used to calculate activation energy as
3.41 × 104 J/mol.
Figure 4
Concentration of iron versus time at different
temperatures in
borax.
Figure 5
Effect of temperature on the dissolution rate
of pyrite in borax
solution.
Concentration of iron versus time at different
temperatures in
borax.Effect of temperature on the dissolution rate
of pyrite in borax
solution.
Effect
Disk Rotational Speed on Pyrite Dissolution
The effect of
the speed of the rotating disk on the dissolution
rate of pyrite was also investigated. The RDA experiments were conducted
at two different speeds 600 and 1200 rpm. In studying the rpm effect,
other conditions such as pressure, temperature, and time were held
constant while the rpm was varied. All tests were conducted at 1000
psi, 150 °C for 30 min. Effluent samples of 3 mL were taken every
5 min then analyzed for iron concentration using ICP-OES. The results
showed that the dissolution rate of pyrite in the new formulation
is significantly affected by the rpm. Figure shows that the dissolution rate of pyrite
increased with an increase in the rotational disk speed, implying
that the dissolution is mass transfer limited. The dissolution rate
at 600 and 1200 rpm was determined to be 2.12E-09 and 7.77E-09 (mole/cm2/s), respectively.
Figure 6
Effect of rpm on the dissolution rate of pyrite
in borax solution.
Effect of rpm on the dissolution rate of pyrite
in borax solution.
XPS Results
XPS is a renowned tool
for characterizing solid surfaces to determine the binding energies
of the elements on the surface of a material. The binding energies
of the elemental sulfur in its various forms are expected to be found
within a range of 160–178 eV.[3]Figure depicts the XPS
spectra both before (red line) and after (blue line) treatment with
borax. Sulfide occurs within 160 to 163 eV and this peak was observed
in both spectra. However, the intensity of the peak is reduced after
treatment of the material with borax. This confirms the dissolution
of pyrite in borax solution since the sulfide peak has reduced intensity.
Furthermore, another peak was observed around 164 eV in the blue spectrum,
which represents elemental sulfur and was not observed in the red
spectrum (untreated sample). This further substantiates the hypothesis
that pyrite (FeS2) has dissolves in the borax solution
and oxidizes sulfide to elemental sulfur. The proposed reactions that
yield elemental sulfur are shown below.
Figure 7
XPS spectra for pyrite
before (red line) and after (blue line)
treatment with borax.
XPS spectra for pyrite
before (red line) and after (blue line)
treatment with borax.
Corrosion
Test Results
To evaluate
the corrosivity of the new formulation, two corrosion experiments
were conducted using the RDA. The first involved the new formulation
of borax while the second experiment was done with 15 wt % HCl with
a 1000 ppm corrosion inhibitor (CI). The commercial CI used is melamine,
which is commonly used in the oil industry.[44] The tests were conducted at high temperature that represents deep
sour gas wells. Both corrosion tests were performed at 150 °C,
1000 psi for 6 h and under static conditions. The results obtained
from the corrosion test showed that the new formulation has a corrosion
rate of 0.021 mm/y while that of 15 wt % HCl with a CI has a rate
of 0.511 mm/y, which is 25 times lower than the commercial formulation
(Figure ). Also, Figure illustrates the
coupons of mild steed (MS) before and after treatment with both the
new formulation and 15 wt % HCl with the CI. Interestingly, the MS
coupon was dissolved after the treatment with HCl formulation, despite
the use of a corrosion inhibitor, while in the case of borax formulation
MS remained undissolved. It worth mentioning that MS has higher corrosion
tendency than high carbon steel (CS), which is usually used in the
tubular system in the sour gas wells. Hence, the use of MS here is
for comparison purposes only. Therefore, the actual corrosion rate
for the new formulation for CS is expected to be lower than the observed
values for MS.
Figure 8
Corrosion rate results for both borax and HCl + 1000 ppm
CI formulations.
Corrosion rate results for both borax and HCl + 1000 ppm
CI formulations.
Comparison
Analysis
The new formulation
of 14 wt % borax (14 wt % of borax powder and 84 wt % of DI water)achieved pyrite dissolution that surpassed our previous formulation
of a chelating agent and a converter.[3,13,45] The reaction rate of the borax formulation has shown
an improvement of 16% compared to the DTPA/K2CO3 formulation. The incremental dissolution of pyrite with the use
of the borax formulation is depicted in Figure and a comparison of its dissolution in different
green formulations is shown in Figure . The results show that the new borax formulation
is superior in performance in comparison with other available green
formulations.
Figure 9
Comparison of iron concentration versus time for borax
and DTPA/K2CO3 formulations.
Figure 10
Comparison of the dissolution rate of pyrite using different green
formulations.
Comparison of iron concentration versus time for borax
and DTPA/K2CO3 formulations.Comparison of the dissolution rate of pyrite using different green
formulations.
Conclusions
In this study, a new green formulation is developed for the removal
of pyrite, FeS2, scales from oil and gas tubings. Both
theoretical analysis using DFT computational analysis and experimental
work based on dissolution kinetics are performed under typical reservoir
conditions. Corrosion tests are conducted to evaluate the impact of
the different formulations on the oil and gas tubular system. Also,
XPS analysis was used to provide an insight into the chemistry of
the reactions on the pyrite surface. Here are the main conclusions
of this investigation:A new
green formulation for pyrite scale removal is
presented in this study. It is composed of potassium tetraborate tetrahydrate
with 14 wt % concentration.The effect
of temperature, rotating disk speed, and
borax concentration on the dissolution rate of pyrite using the new
borax formulation was studied using a rotating disk apparatus.The rotating disk apparatus experiments
have shown an
increase of 16% in the pyrite dissolution rate using the borax formulation
in comparison to the DTPA+K2CO3 formulation.[3,12]The borax formulation is more cost
effective than 20
wt % DTPA+ 9 wt % K2CO3 formulation since it
contains no chelating agent.In addition
to the dissolution experiments, corrosion
experiments were conducted on mild steel to compare the corrosion
rate of the borax formulation with HCl formulation, which is used
commercially for scale removal. The borax formulation achieved a corrosion
rate that is 25 times lower than the commercial formulation.DFT studies confirmed that upon oxidation
of pyrite
from +2 to +3 state, the binding affinity of iron to water molecules
has significantly increased, thereby aiding dissolution.The new green borax formulation has good solubility
and a very low corrosion rate for its application in the oil and gas
industry.
Materials
and Methodology
Experimental Details
Materials
Advanced Technology &
Industrial Co., Ltd. Hong Kong, supplied the chemical potassium tetraborate
tetrahydrate (K2B4O7 4H2O-borax) with 99.5% purity. Pyrite rock samples were purchased from
Geology Superstore Company, Britain. Cores of 1 inch diameter were
drilled from the sample. Finally, a 0.5 inch thickness and 1 inch
diameter disks were prepared with one surface highly polished and
smoothed. Pyrite samples were manually polished using lubricant-loaded
napless polishing cloths and 15, 6, and 1 μm diamond paste.
This polished disk surface was the only surface that was subjected
to the chemical formulation while all other sample surfaces were isolated
using harsh environment Teflon tubes. These tubes shrink with temperature
and insulate surfaces as shown in Figure . The specific surface area of the disk
was calculated using the formula reported in[46], where the A0 is the initial surface area of the pyrite disk (cm2), AC is the cross-sectional area (cm2), and Ø is the disk porosity.
Figure 11
Pyrite disk with all surfaces covered
with Teflon tubing except
the surface subjected to the reaction.
Pyrite disk with all surfaces covered
with Teflon tubing except
the surface subjected to the reaction.
Material Characterization
The purity
of the pyrite rock samples was determined using X-ray diffraction
(XRD) spectroscopy. Also, X-ray photoelectron spectroscopy (XPS) analysis
was used to explain the chemical changes on the pyrite surface both
before and after being treated with borax.
Reaction
Rate Measurement Using a Rotating
Disk Apparatus (RDA)
The pyrite disk sample was soaked into
0.1 N HCl for 30 min then rinsed used deionized water to ensure the
reproducibility of the results by dissolution of fine particles at
the surface as recommended in the literature.[47] The schematic of the RDA used in this study is illustrated in Figure . The main components
of the equipment are a reactor, reservoir fluid tank, poster pump,
vacuum pump, pressure vessel, automatic sampling system, network of
connecting valves, computer with monitoring, and control system. The
reaction between the solid surface and the chemical formulation takes
place in the reactor.
Figure 12
Rotating disk apparatus (a) equipment and (b) schematic
flowchart.
a-labels:1-Manual valve; 2-Pneumatic valve; 3-Vent; 4-Stirrer; 5-Pressure
vessel; 6-Pump booster; 7-Vacuum pump; 8-Auto sampler; 9-Reactor;
and 10-Reservoir(Formulation tank).
Rotating disk apparatus (a) equipment and (b) schematic
flowchart.
a-labels:1-Manual valve; 2-Pneumatic valve; 3-Vent; 4-Stirrer; 5-Pressure
vessel; 6-Pump booster; 7-Vacuum pump; 8-Auto sampler; 9-Reactor;
and 10-Reservoir(Formulation tank).
Steel Corrosion Test
Two corrosion
tests were conducted using borax and HCl formulations. Borax (14 wt
%) was used as it is the optimal concentration that yielded the maximum
solubility of the pyrite sample. HCl was used in this work for comparison
as a standard. The former is widely used in the oil and gas industry
for the removal of iron sulfide scales. The corrosion experiments
were performed using coupons from mild steel. It is worth mentioning
that MS has higher corrosion tendency than high carbon steel (CS),
which is usually used in the tubular system in the sour gas well.
Hence, the use of MS here is for comparison purposes only. Therefore,
the actual corrosion rate for the new formulation for CS is expected
to be lower than the observed values for MS. The composition of mild
steel coupons is depicted in Table .[48] The tests were carried
out using an RDA as illustrated in Figure . The experiments were performed at 150 °C
and 1000 psi, which is the typical temperature and pressure in deep
sour gas wells. In these experiments, 14 wt. % K2B4O7-4H2O and 15 wt. % HCl, containing
1000 ppm of a corrosion inhibitor (CI), were employed. Both corrosion
experiments were carried out for 6 h.
Table 2
Elemental
Composition of MS
element
wt %
C
0.128
Si
0.25
Mn
0.7
S
0.03
P
0.04
Cu
0.15
Fe
bal.
The corrosion rate was calculated
from the weight loss method using eq .[49,50]whereCrate = corrosion
rate (millimeter
per year); W = weight loss (milligrams), D = density of metal (g /cm3), A = sample surface area in (cm2), and T = exposure time of the metal sample (h).
Computational Details
To get a better
understanding of the oxidation of Fe2+ to Fe 3+ and why the latter has a better dissolution, solvation studies of
both ions were carried out with the aid of density functional theory
(DFT). DFT is a renowned and useful tool,[51−53] which helps
to provide atomistic insight into understanding chemical processes
and has been used earlier for studying pyrite scale removal by chelating
agents.[11,12,15,16] All calculations were done using Gaussian 09[54] at the B3LYP (Becke-3 Lee, Yang and Parr) and
def-2-TZVP (default-2 triple-zeta valence polarization) level of theory
and basis set, respectively. The former is well known for optimizing
geometries[55] and predicting energetics
of molecules at a reasonable time with respect to the computational
cost,[56] while the latter known as the Ahlrich’s
basis set and ensures that only the valence orbitals are split and
polarization functions are included to ensure accuracy.[57] Both Fe2+ and Fe3+ were
bonded to six water ligands in the octahedral geometry to form hexa-aqua-iron
complexes. That is, each of the six water molecules are attached to
the central metal ion through a coordinate bond. This coordinate bond
is from one of the lone pairs on the oxygen in each water molecule.
Hence, the name hexa (six) and aqua (water) iron complex. The calculations
were carried out in both vacuum and solvent phases to enable the calculation
of the solvation energies. The latter was done using the polarizable
continuum model-self-consistent reaction field (PCM-SCRF) model.[58] The quintet and sextet states were used for
Fe2+ and Fe3+ ions as they are the most stable
spin states for the two ions, respectively.[59] All calculations had no imaginary frequencies for the vibrational
analysis, which confirmed that a true global minimum had been reached
and the thermodynamic results are reliable. The solvation and binding
energies were calculated from the optimized structures of the calculations.
Authors: Michael Bühl; Christoph Reimann; Dimitrios A Pantazis; Thomas Bredow; Frank Neese Journal: J Chem Theory Comput Date: 2008-09-09 Impact factor: 6.006
Authors: Abdulmujeeb T Onawole; Saheed A Popoola; Tawfik A Saleh; Abdulaziz A Al-Saadi Journal: Spectrochim Acta A Mol Biomol Spectrosc Date: 2018-05-07 Impact factor: 4.098
Authors: Muhsen A M El-Haddad; A Bahgat Radwan; Mostafa H Sliem; Walid M I Hassan; Aboubakr M Abdullah Journal: Sci Rep Date: 2019-03-06 Impact factor: 4.379
Authors: Wim Buijs; Ibnelwaleed A Hussein; Mohamed Mahmoud; Abdulmujeeb T Onawole; Mohammed A Saad; Golibjon R Berdiyorov Journal: Ind Eng Chem Res Date: 2018-07-05 Impact factor: 3.720
Authors: Musa Ahmed; Ibnelwaleed A Hussein; Abdulmujeeb T Onawole; Mohammed A Saad; Mazen Khaled Journal: Sci Rep Date: 2021-02-26 Impact factor: 4.379
Authors: Abdulmujeeb T Onawole; Ibnelwaleed A Hussein; Mohammed A Saad; Nadhem Ismail; Ali Alshami; Mustafa S Nasser Journal: Polymers (Basel) Date: 2022-06-09 Impact factor: 4.967