Yanhe Nie1,2, Lei Yang1, Qiang Wang1,2, Changliang Shi1,2, Xiaobo Zhu1,2, Jianghao Chen1. 1. College of Chemistry and Chemical Engineering, Henan Polytechnic University, Jiaozuo 454003, China. 2. Provincial and Ministerial Collaborative Innovation Center for Safe Production and Clean and Efficient Utilization of Coal, Jiaozuo 454003, China.
Abstract
To study the effect of copper on gold thiosulfate leaching, the gold dissolution of three different sample powders (gold, gold/copper, and gold/copper oxide) in a solution of 5 mM Cu2+, 0.4 M ammonia, and 0.1 M thiosulfate was studied. Scanning electron microscopy analysis showed no sulfur passivation on the gold surface, and there were more prominent corrosion pits on the gold surfaces of samples that were ground with copper or copper oxide. The Evans diagrams showed that copper and copper oxide can promote both the anode and cathode processes of gold dissolution. Based on first principle simulations, copper and copper oxide exhibited the ability to disrupt the stability of gold surface atoms and cause different degrees of relaxation. Both copper and copper oxide reduce the d-band center of the gold surface atoms and the adsorption between gold and thiosulfate. In addition, the bond length of the S-S bond of thiosulfate adsorbed onto the gold surface was longer when copper or copper oxide were not present. According to the change in the potential surface energy, the energy barriers for gold atom dissolution from gold, gold/copper, and gold/copper oxide surfaces were 1.79, 0.72, and 1.01 eV, respectively.
To study the effect of copper on gold thiosulfate leaching, the gold dissolution of three different sample powders (gold, gold/copper, and gold/copper oxide) in a solution of 5 mM Cu2+, 0.4 M ammonia, and 0.1 M thiosulfate was studied. Scanning electron microscopy analysis showed no sulfur passivation on the gold surface, and there were more prominent corrosion pits on the gold surfaces of samples that were ground with copper or copper oxide. The Evans diagrams showed that copper and copper oxide can promote both the anode and cathode processes of gold dissolution. Based on first principle simulations, copper and copper oxide exhibited the ability to disrupt the stability of gold surface atoms and cause different degrees of relaxation. Both copper and copper oxide reduce the d-band center of the gold surface atoms and the adsorption between gold and thiosulfate. In addition, the bond length of the S-S bond of thiosulfate adsorbed onto the gold surface was longer when copper or copper oxide were not present. According to the change in the potential surface energy, the energy barriers for gold atom dissolution from gold, gold/copper, and gold/copper oxide surfaces were 1.79, 0.72, and 1.01 eV, respectively.
As the oxidation catalyst
of the gold thiosulfate leaching process,
Cu2+ is very important for the dissolution process of gold.
Copper ions are a very effective oxidant for the dissolution of gold,
regardless of whether in the traditional ammonia system[1−5] or in the new ethylenediamine[6,7] and citric acid systems.[8]The dissolution of gold in copper ammonium
thiosulfate solution
is an electrochemical process. The oxidation of gold occurs in the
anode area, as shown in eq , and the reduction of copper ions occurs in the cathode area,
as shown in eq . The
resulting Cu(S2O3)35– reacts with dissolved oxygen to form Cu(NH3)42+, as shown in eq . Thus, the copper ion can catalyze the dissolution of gold.
In addition to copper ions, cobalt and nickel ions can also be used
as catalysts for gold leaching in thiosulfate solution.[3−5]Copper ion not only acts as an oxidant
but also affects the anodic
dissolution of gold. Numerous scholars have studied the effect of
Cu2+ on the dissolution of gold from various perspectives.
Smith et al.[9] and Nicol et al.[10] found that Cu2+ is beneficial to
removal of sulfur-containing adsorbates on gold surfaces, thus increasing
gold dissolution. In another study, Zhang and Nicol[11] found that copper ions can promote gold dissolution in
alkaline sodium thiosulfate solutions using electrochemical technology.
When the electrode potential is maintained at 0.3 V, the addition
of copper ions can improve the gold dissolution rate. It is suggested
that the formation of a Cu–S2O32––O2 intermediate, which is easier to reduce than
oxygen, or a mixed complex of (Au, Cu) (S2O3)23– may promote the cathodic process
of gold dissolution. It has been shown that copper can promote the
dissolution of gold when gold powder is milled with copper (the ion,
metal, or oxide form) during leaching. By calculating formation equilibrium
constants, Senanayake[12] discovered low-concentration
copper complexes, such as Cu(S2O3), Cu(S2O3)22–,and Cu(OH)3– in the solution. According to Gibbs free
energy calculations, these complexes can react with gold to form Au(S2O3)23–, which can
promote gold dissolution. Furthermore, Breuer and Jeffery[13] tested different oxidants (oxygen, cobalt ions,
and copper ions) in a solution of sodium thiosulfate and ammonia.
The mixed potential remained constant, and the copper ions proved
to be the most effective oxidant. Even in a system with only thiosulfate
in solution, the addition of a small amount of copper ions can still
promote the dissolution of gold.[11,14]The
dissolution process is a chemical reaction at the solid–liquid
interface; therefore, the structural change of the solid surface often
affects the whole reaction.[15,16] CeO2 rods
with (1 0 0)/(1 1 0) exposed surfaces have stronger Pt nanocrystal
capture ability and catalytic performance for methanol oxidation than
CeO2 plates and CeO2 cubes with (1 1 1) and
(1 0 0) faces.[17,18] Zhuang and co-workers[19] observed that the interaction between oxygen
and the Ni surface after 3d metal modification was significantly weakened.
For example, the desorption temperature of oxygen on the surface of
a Ni–Cr catalyst decreased by 130 °C, which was not observed
with pure Ni. This entire reaction was affected by changes in the
electronic orbit on the solid surface, whether it was changes to the
crystal structure of the solid or modifications of other elements
on the solid surface.[20−23] This causes the adsorbed molecules to decompose or atoms to dissociate
from the bulk solid surface.[24,25]The aforementioned
studies about gold leaching have investigated
the effects of copper ions on the dissolution of gold with respect
to changes in the copper ion complex or the passivation of the gold
surface. However, the micromechanism behind copper promoting gold
atom dissolution has not been reported, especially when changes to
the electronic structure of the gold surface were caused by copper
powder or copper oxide powder. In this paper, the electronic structure
of the gold and the energy changes in the different intermediates
during the gold dissolution were analyzed by first principle simulations.
The results of this work elucidated the micromechanism behind the
promotion of gold dissolution in thiosulfate solution by copper.
Results and Discussion
Dissolution Study
Gold Leaching and Changes in the Copper
and Thiosulfate Ion Concentrations
Figure illustrates the gold leaching percentage
in the copper, ammonia, and thiosulfate solution. The leaching percentage
reached 68% within 6 h for the experiments using 10 mg of gold powder.
When the gold powder was ground with copper or copper oxide, leaching
rates of 88 and 82%, respectively, were obtained. These results show
that the presence of copper or copper oxide increases gold dissolution
during thiosulfate leaching and are consistent with results reported
by Zhang and Nicol.[11]Here,
Φ was calculated using Φ0[Cu+/Cu]-0.0591
log[βCu(I)] and
ΔG was calculated using the values reported
by Liu et al. under the condition 298 K and 1 atm.[26]
Figure 1
Gold leaching percentages in a solution of 5 mM Cu2+, 0.4 M NH3, and 0.1 M thiosulfate.
Gold leaching percentages in a solution of 5 mM Cu2+, 0.4 M NH3, and 0.1 M thiosulfate.Using eq , the redox
potential of Cu(NH3)2+/Cu was determined
to be −0.12 V, while that of Cu(NH3)42+/Cu(S2O3)35– in the leaching system was 0.24 V.[27] These
values confirm that copper powder can be dissolved in the leaching
solution. Although the Gibbs free energy of eq is positive, there are cases of ammonia leaching
of copper oxide in actual production;[28] therefore, copper oxide may also be dissolved in solution. The effects
that copper and copper oxide have on the changes in the copper ion
concentrations are shown in Figure . The results show that the copper ion concentration
in the three groups of experiments was approximately the same. This
is because, only small amounts of copper powder and copper oxide were
added. Because of the reaction between copper ion and thiosulfate,
as shown in eq , the
concentration of copper ions will decrease with the prolonged leaching
time.[4,29] In addition, the thiosulfate concentrations
for the three reaction systems were very similar.
Figure 2
Changes in copper and
thiosulfate concentrations during the dissolution
of gold in a solution of 5 mM Cu2+, 0.4 M NH3, and 0.1 M thiosulfate.
Changes in copper and
thiosulfate concentrations during the dissolution
of gold in a solution of 5 mM Cu2+, 0.4 M NH3, and 0.1 M thiosulfate.
Scanning Electron Microscopy Characterization
of Gold Powders after Leaching
The microscopic appearance
of gold powder after leaching is presented in Figure . Numerous corrosion pits were observed on
the gold surface, and while the surface primarily consisted of gold,
small amounts of oxygen were also present. However, sulfur signals
were not detected in the element distribution mapping of the sample.
More noticeable corrosion edges and larger corrosion pits were observed
on the gold surface of the gold/copper powder (Figure b) than on the surface of the fresh gold
powder sample. Furthermore, the weight percentage of oxygen was higher
on the surface of the gold/copper sample than on the surface of the
fresh gold powder. Additionally, there were no copper signals observed
on the gold surface, indicating that the copper powder in the sample
had dissolved in the leaching solution. The amount of copper powder
added was only 2 mg, with a corresponding molarity of only 0.03 mmol,
so the copper ion concentrations of different experiments presented
in Figure are very
similar.
Figure 3
Scanning electron micrographs of gold powder and element distribution
mapping: (a) gold powder sample before leaching; (b) gold powder sample
after leaching; (c) gold/copper powder sample after leaching; (d)
gold/copper oxide sample after leaching.
Scanning electron micrographs of gold powder and element distribution
mapping: (a) gold powder sample before leaching; (b) gold powder sample
after leaching; (c) gold/copper powder sample after leaching; (d)
gold/copper oxide sample after leaching.Element distribution mapping of the gold/copper oxide sample was
recorded, and 24.71% copper was observed. Furthermore, large corrosion
pits and obvious corrosion edges on the sample surface were also seen
(Figure c). It seems
that the corrosion process proceeds along the edge of the copper-covered
area. According to the scanning electron microscopy (SEM) characterization
results, there was no passivation material containing sulfur on the
surface of the gold. After leaching, more obvious corrosion pits were
seen on the gold surfaces of the gold/copper and gold/copper oxide
samples than on those of the pure gold sample.
Electrochemical Study
According to
the Tafel curve, the open circuit potential of different systems can
be easily obtained.[30,31]Figure illustrates that the open circuit potential
of the gold powder is 0.15 V. This potential changes to −0.1
and 0.1 V, respectively, when the copper powder and copper oxide are
present. These results show that the dissolution process of gold is
promoted with the addition of copper or copper oxide, which strengthen
the anode reaction process.[32]
Figure 4
Tafel representation
of the linear sweep voltammetry of different
electrodes at a positive scanning rate of 10 mV/s in a solution of
5 mM Cu2+, 0.4 M NH3, and 0.1 M thiosulfate.
Tafel representation
of the linear sweep voltammetry of different
electrodes at a positive scanning rate of 10 mV/s in a solution of
5 mM Cu2+, 0.4 M NH3, and 0.1 M thiosulfate.Copper can dissolve in leaching solutions, and
Drissi-Daoudi et
al.[33] found that the potential of copper
oxidation to univalent copper ions was −0.32 V (relative to
saturated calomel electrode), which is close to the −0.1 V
(relative to standard hydrogen electrode) value. Therefore, the enhancement
effect of the anode process of Au–Cu electrodes may be partly
due to the dissolution of copper. To eliminate the interference of
copper oxidation in the anode process, we tested the anode and cathode
processes of gold dissolution and determined the open circuit potentials
and current densities of gold dissolution on different electrodes
using Evans diagrams (Figure ).[13,34]
Figure 5
Evans diagrams of different work electrodes.
Anode sweep curves
had a positive scanning rate of 10 mV/s in a 0.1 M thiosulfate solution,
cathode sweep curves had a negative scanning rate of 10 mV/s in a
5 mM Cu2+ and 0.4 M NH3 solution; (a) gold electrode;
(b) gold/copper electrode; (c) gold/copper oxide electrode.
Evans diagrams of different work electrodes.
Anode sweep curves
had a positive scanning rate of 10 mV/s in a 0.1 M thiosulfate solution,
cathode sweep curves had a negative scanning rate of 10 mV/s in a
5 mM Cu2+ and 0.4 M NH3 solution; (a) gold electrode;
(b) gold/copper electrode; (c) gold/copper oxide electrode.It can be seen from Figure that the presence of copper powder or copper
oxide strengthens
the anode and cathode processes of gold leaching. The open circuit
potential at the gold electrode was 0.18 V, which is slightly higher
than that of the actual leaching system (0.15 V, Figure ). This lower value of the
actual system is because of the presence of copper ions, while the
anode process measured in Figure includes only the oxidation process of gold in the
thiosulfate solution. Because copper ions are removed from the solution,
the open circuit potential obtained by the Evans diagram is higher
than that measured in the actual system.[13] This result confirms that copper ions can promote the anodic process
of gold leaching.[11] As shown in Figure b, the open circuit
potential of the Au–Cu electrode is −0.05 V. Compared
with the potential of the actual leaching system (−0.1 V),
the open circuit potential of the Au–Cu electrode is shifted
positive, indicating that the oxidation of copper interferes with
the measurements recorded in Figure . The open circuit potential of the Au–CuO electrode
obtained by the Evans diagram is relatively the same as the measured
value of the actual leaching system (approximately 0.1 V). The effects
of copper and copper oxide on the open circuit potentials and leaching
currents of gold dissolution are summarized in Table . Copper and copper oxide cause the open
circuit potential of gold leaching to decrease by 0.23 and 0.08 V,
respectively. Moreover, they cause the leaching current of gold to
increase from 0.08 to 0.45 and 0.12 mA cm–2, respectively.
Table 1
Effects of Copper and Copper Oxide
on the Open Circuit Potentials and Leaching Currents of Gold Dissolution
work electrodes
open circuit potential/V
leaching current/mA cm–2
gold
0.18
0.08
gold/copper
–0.05
0.45
gold/copper oxide
0.10
0.12
To study the effect of copper and
copper oxide on the gold dissolution
process, the apparent activation energy of the gold dissolution reaction
was also investigated. Linear sweep voltammetry curves were measured
at different temperatures (Figure ). The current density of 0.18 V was chosen to represent
the rate of gold dissolution of the gold electrode, while a current
density at −0.05 V was chosen for the gold/copper electrode;
0.10 V was chosen for the gold/copper oxide electrode. Equations and 7 were used to calculate the apparent activation energy (Ea) for the gold dissolution reaction.where j is the current density
value, F is the Faraday constant (96,845.3 C/mol), k is the reaction constant, α is the reactant activity, R is the gas constant (8.314 J/mol K), and T is the thermodynamic temperature.
Figure 6
Linear sweep voltammetry curves of different
working electrodes
at a positive scanning rate of 10 mV/s in 0.1 M thiosulfate solution
at different temperatures.
Linear sweep voltammetry curves of different
working electrodes
at a positive scanning rate of 10 mV/s in 0.1 M thiosulfate solution
at different temperatures.Figure shows that
temperature has an obvious effect on the anodic process of gold dissolution,
and there is a current peak at −0.05 V on the gold/copper electrode.
The relationship between the j of the gold dissolution process and
temperature under different electrode systems is shown in Figure . According to the
fitting results, the δ log(j)/δ log(1/T) values are −2.81, −2.12, and −2.43
for the gold, gold/copper, and gold/copper oxide electrodes, respectively.
Additionally, Ea values of the gold dissolution
process can be calculated using eq for each of the electrodes, giving values of 53.8,
40.6, and 46.5 kJ/mol, for the gold, gold/copper, and gold/copper
oxide electrodes, respectively. Based on these results, we concluded
that the appearance of copper or copper oxide can reduce the Ea of gold dissolution.
Figure 7
Fitting relationship
between gold leaching current density and
temperature of different electrodes.
Fitting relationship
between gold leaching current density and
temperature of different electrodes.
Micromechanism Study
The dissolution
of gold reflects the adsorption effect at the solid–liquid
interface. During adsorption, bonding between the solid surface and
the adsorbate molecules occurs, which destroys the stability of the
adsorbed molecules and the solid surface structure.[15,35] However, limited studies have been conducted on thiosulfate adsorbed
onto different gold surfaces and the influence that this adsorption
effect has on the thiosulfate molecular and gold surface structure.We have established the calculation model as shown in Figure to study changes
in the d-band density of the first-layer atoms on the surface of gold. Figure shows the change
of the gold surface after structural optimization. Copper alters the
relaxation state of gold atoms in the first layer, and when copper
oxide is present, this relaxation phenomenon becomes more apparent.
In addition, the second layer of gold atoms demonstrates an external
diffusion trend, as shown in Figure c. The density of d-band states of the first-layer
surface atoms is shown in Figure . With copper or copper oxide present, the width of
the d-band increases, the delocalization improves, and the density
of the states at the Fermi level decreases. The d-band center of the
first-layer atoms on Au(111) is −3.01 eV, but when copper and
copper oxide are present, this value becomes −3.30 and −3.20
eV, respectively. Copper and copper oxide decrease the d-band centers
of atoms on the surface of gold, which is consistent with other related
scholars[36] and indicates that the reactivity
of the gold surface may be decreased.
Figure 8
Geometry optimization of different gold
surfaces: (a) Au(111) surface;
(b) Au(111) surface modified with copper; (c)Au(111) surface modified
with copper oxide.
Figure 9
d-Band density of states
of the first layer atom on the Au(111)
surface.
Geometry optimization of different gold
surfaces: (a) Au(111) surface;
(b) Au(111) surface modified with copper; (c)Au(111) surface modified
with copper oxide.d-Band density of states
of the first layer atom on the Au(111)
surface.The effect that these changes
in the d band densities have on thiosulfate
adsorption to the gold surfaces was also studied. During the process
of gold leaching, we had hoped that the adsorption effect between
the gold surface and thiosulfate could destroy the bonding between
gold atoms on the surface, while the thiosulfate molecules remained
stable. Figure shows
the adsorption geometry of thiosulfate on different gold surfaces.
Because of its high d-band center, the gold atoms on the surface have
high reactivity (Figure a). The relaxation degree of the gold atoms on the surface
is the most prominent after adsorption. In addition, the effect of
adsorption on the structure of thiosulfate is also very significant
and the S–S bond length becomes 3.489 Å. When copper atoms
are present on the gold surface the S–S bond length becomes
3.080 Å, and in the presence of copper oxide, the S–S
bond length decreases even further to 1.904 Å, which is close
to the S–S bond length of thiosulfate by itself (1.881 Å).[37] This indicates that the adsorption effect is
weakest on the structure of thiosulfate and predominantly affects
the bonding of gold atoms on the surface, as shown in Figure .
Figure 10
Adsorption geometry
of thiosulfate on different surfaces: (a) gold
surface; (b) gold surface with copper; (c) gold surface with copper
oxide.
Adsorption geometry
of thiosulfate on different surfaces: (a) gold
surface; (b) gold surface with copper; (c) gold surface with copper
oxide.The aforementioned results demonstrate
that although the high d-band
center and reaction activity of gold atoms on the surface can strengthen
the adsorption effect on thiosulfate, the dissolution of gold is not
accelerated. This could be ascribed to the damage degree of the S–S
bond being greater than in the absence of copper or copper oxide on
the gold surface (Figure ). The destruction of thiosulfate stability caused by strong
adsorption may be the reason for the passivation of gold surfaces.
Some scholars have found that the addition of copper ions can negate
this passivation phenomenon on the surface of gold,[9] which may be related to the reduced d-band center and reaction
activity of gold surface atoms. In addition, the higher reaction activity
of gold surfaces not only affects the stability of thiosulfate but
also affects the stability of polythionates in gold leaching solutions,
which promotes their decomposition. It has been reported that polythionates
decompose on the surface of gold, generate different sulfur species,
and inhibit the dissolution of gold.[38,39]The
dissolution process of gold proceeds as follows: thiosulfate
first adsorbs onto the gold surface, followed by the combination of
thiosulfate and gold atoms that subsequently forms free radicals,
and finally, the separation of these radicals from the gold surface
and their combination with thiosulfate in solution results in stable
complex ions (eqs –10).[40,41] Therefore, not only do we pay
attention to the process of thiosulfate adsorption on gold surfaces
but also study the dissociation process of gold atoms from the surface
(Figure ).
Figure 11
Reaction path of gold dissolution from
the gold surface.
Reaction path of gold dissolution from
the gold surface.We have studied the
energy changes of two intermediate states that
exist during the process of gold dissolution. The reaction path is
shown in Figure . According to the trend of energy changes, the energy barrier of
gold dissolution can be obtained.[42] TS1
represents the structure of thiosulfate adsorbed on the gold surface,
and TS2 corresponds to the structure of gold atoms dissociated from
the surface. The reaction paths of gold dissolution when copper or
copper oxide exist on the surface are shown in the Figures and 13. As demonstrated in Figure , it is necessary for the reaction to overcome the energy
barrier of 1.79 eV from the initial state of the gold surface to the
departure of the intermediate through thiosulfate adsorption. In the
presence of copper and copper oxide, the energy barrier becomes 0.72
and 1.01 eV, respectively. Copper and copper oxide decrease the energy
barrier of gold dissolution and promote gold leaching.
Figure 12
Reaction
path of gold dissolution from the gold surface with copper
present.
Figure 13
Reaction path of gold dissolution from
the gold surface with copper
oxide present.
Reaction
path of gold dissolution from the gold surface with copper
present.Reaction path of gold dissolution from
the gold surface with copper
oxide present.
Conclusions
The micromechanism of copper and copper oxide on the dissolution
of gold in a copper, ammonia, and thiosulfate solution was studied.
When grinding 10 mg of gold powder with either 2 mg of copper or copper
oxide, the gold leaching percentages increased by 20 and 14%, respectively,
over 6 h. The concentrations of the copper and thiosulfate ions in
the leaching solution exhibited negligible changes among the different
experimental groups. After leaching, SEM characterization showed that
there were more apparent corrosion pits on the gold surface being
ground with copper or copper oxide. Furthermore, when copper and copper
oxide were present the open circuit potential was shifted from 0.18
to −0.05 and 0.1 V, respectively, and the leaching current
was increased from 0.08 to 0.45 and 0.12 mA cm–2, respectively.The presence of copper or copper oxide increased
the relaxation
of atoms on the surface of gold but reduced the central energy level
of the d-band from −3.01 to −3.30 and −3.20 eV,
respectively. On the gold surface, the S–S bond length in thiosulfate
was 3.489 Å, but when copper and copper oxide were present on
the gold surface, this bond length became 3.080 and 1.881 Å,
respectively. This indicates that copper and copper oxide can reduce
the damage that the adsorption effect has on the stability of thiosulfate.
When the atoms on the surface of gold dissolved in the thiosulfate
solution, the energy barrier that the reaction had to overcome is
1.79 eV, and when copper and copper oxide were present, this energy
barrier decreased to 0.72 and 1.01 eV, respectively.
Experimental Section
The gold powder (44–74 μm),
copper powder (<44
μm), and copper oxide (<44 μm) used in this study are
all 99.99% pure. The sodium thiosulfate, copper sulfate pentahydrate,
ammonia (25%), hydrogen peroxide, nitric acid, and hydrochloric acid
are analytically pure. Deionized water was used to prepare the solutions.
A mixture of copper (2 mg) and gold (10 mg) powders were ground in
an agate mortar for 5 min to acquire the gold/copper sample. A mixture
of copper oxide (2 mg) and gold (10 mg) powder were ground in an agate
mortar for 5 min to acquire gold/copper oxide samples. To avoid the
interference caused by changes in the gold particle size during the
grinding process, fresh gold powder (10 mg) was also ground for 5
min for the leaching experiments.Hydrogen peroxide and hydrochloric
acid were added to the solution
samples in sequence, and then, the solutions were each boiled for
5 min. Atomic absorption spectroscopy was then used to determine the
concentration of gold in each sample. The concentration of thiosulfate
ions was determined using the iodometric method,[43] and the absorbance of the Cu(NH3)42+ complex was measured at 605 nm using a UV–vis
spectrophotometer. All measured values were corrected for the background
absorbance of the other reagents. The morphology and elemental composition
of the gold power were examined using a Phenom ProX (FEI Co.) SEM
instrument with an integrated energy-dispersive X-ray spectroscopy
detector.A CHI660E electrochemical workstation with graphite
and saturated
calomel (Hg/HgCl, saturated KCl) electrodes as the working and reference
electrodes, respectively, was used to conduct the electrochemical
measurements. To prepare the working electrodes for each of the samples,
the corresponding sample was pressed into a 3 mm diameter flake with
a tablet-pressing machine and was then bonded to a metal rod with
a Teflon sleeve by a conductive adhesive (Figure ).
Figure 14
Image of the working electrodes. (Photograph
courtesy of Yanhe
Nie. Copyright 2020.)
Image of the working electrodes. (Photograph
courtesy of Yanhe
Nie. Copyright 2020.)Quantum chemical calculations
were performed using the Materials
Studio program CASTEP,[31,37,44,45] which is a software program theoretically
based on density functional theory. Within the generalized-gradient
approximation, the Perdew–Burke–Ernzerhof function is
adopted as the exchange–correlation function. The interaction
between valence electrons and the ion core is described by an ultrasoft
pseudopotential. The convergence tolerances for geometry optimization
calculations were as follows: 0.002 Å for the maximum displacement,
0.05 eV/Å for the maximum force, 2.0 × 10–5 eV/atom for the energy, 2.0 × 10–6 eV/atom
for the self-consistent field, and 351.0 eV for the plane-wave cut-off.
Three layers of (1 1 1) crystal surfaces were used to simulate an
actual gold surface. The Cartesian coordinates of the gold atoms in
the bottom surface were fixed as a constant during the geometry optimization.
For the Au (1 1 1) surface, a 2 × 4 × 1 supercell with periodic
boundary conditions on the x- and y-axes was used to model the infinite sheet. The vacuum thickness
in the direction perpendicular to the (1 1 1) surface was 15 Å.The leaching of gold was carried out in a 250 mL conical flask,
and the solution consisted of 200 mL of 5 mM Cu2+, 0.4
M NH3, and 0.1 M thiosulfate. A magnetic stirrer was used
to maintain the rotation speed at 300 rpm, and the reaction temperature
was 23 ± 1 °C.