4.1 Thermodynamic calculations of copper oxides
The high-temperature oxidation of Cu mainly involves the following four reactions Eqs. 1–4 It can be seen from their Gibbs free-energy-variation curves (Fig. 10), the largest tendency is the formation of Cu2O from the reaction of Cu with O2. Although the most thermodynamically stable product of copper is Cu2O, the Cu+ in Cu2O is in an intermediate valence state in terms of chemical activity and would be continuously oxidized by oxygen to a stable highest valence state. These two steady states are distinct and can be affected by temperature and oxygen partial pressure [15]. As shown in Fig. 11, Cu can react with an oxidizing composition to form Cu2O when the partial pressure of ambient oxygen is greater than the oxygen partial pressure of Cu2O formation at some temperature. The oxygen partial pressures required for the formation of CuO within the temperature range of 0-1000 ℃ as shown in Fig. 12 and Fig. 13 .
The equivalent partial pressures of oxygen are all in the range of 2.4×10− 9-1.4×10− 6 atm when the oxidizing composition is CO2, H2O and CO2 + H2O (Table 1).The maximum value of them is only larger than that of the partial pressure of oxygen formed by the reaction of Cu and O2 to generate Cu2O. Therefore, only Cu2O can be formed but CuO cannot under the above three atmospheres, which is consistent with the macroscopic (Figs. 3) and microscopic (Figs. 7) morphology of residual oxides on copper surface under these conditions. The equivalent partial pressure of oxygen are all about 4.41×10− 3 atm when the oxidizing composition is O2, O2 + CO2, O2 + H2O and O2 + CO2 + H2O (Table 1), which is greater than the partial pressure of oxygen formed by the reaction of Cu and O2 to generate Cu2O and CuO. Therefore, both Cu2O and CuO are generated on copper surface, which is consistent with the results in Fig. 3. However, when the temperature is greater than 850 ℃, the reaction of Cu2O with O2 to form CuO will not occur because its partial pressure of oxygen formed for this reaction (Fig. 13) has exceeded the equivalent partial pressure of oxygen for the heated atmosphere (4.41×10− 3 atm). As can be seen from Fig. 2, the heating stage from room temperature to 850 ℃ only accounts for about 20% in the whole heating stage. Therefore, the large-scale external oxide (CuO) on copper surface is mainly generated by the reaction between Cu and O2 when the heating temperature is greater than 850 ℃.
In addition to the above oxidation reactions, when the oxidizing composition is H2O, O2 + H2O and O2 + CO2 + H2O,, H2 decomposed from H2O is also able to undergo a reduction reaction with copper oxides at temperature exceeding 784°C because it’s higher than the critical temperature for water vapor decomposition [16]. From the Gibbs free energy changes for each reaction (Table 2), it is clear that the reduction of CuO to Cu2O is the easiest and the reduction of Cu2O to Cu is the most difficult. When the oxidizing composition is CO2, O2 + CO2 and O2 + CO2 + H2O, the decomposition of CO2 in these atmospheres is more difficult than the decomposition of H2O mentioned above. It has been documented that CO2 decomposes by only 1.8% at 2000°C[17]. It can also be obtained from Table 1 that the equivalent partial pressure of oxygen in the oxidizing composition of H2O at 940°C is slightly larger than that in CO2. While the grain sizes of the oxides on copper surface formed in H2O are much larger than those formed in CO2 [Fig. 7(b), (c)]. This further indicates that the amount of CO2 decomposition is extremely small than that of H2O at same temperature. Although CO2 is difficult to decompose, it can undergo adsorption-desorption reactions with copper oxides (Table 3). The thermodynamic values show that CO2 adsorbs on the CuO surface and reacts with it to form CuCO3, which in turn decomposes rapidly into CuO and CO2. However,CO2 is very difficult to react with Cu2O.
Table 2 Gibbs free energy of the reduction reaction between H2 and copper oxide at 940℃
Reaction
|
ΔG/(J/mol)
|
(5)
|
2CuO(s)+H2(g)=Cu2O(s)+H2O(g)
|
-1.64×105
|
(6)
|
CuO(s)+H2(g)=Cu(s)+H2O(g)
|
-1.32×105
|
(7)
|
Cu2O(s)+H2(g)=2Cu(s)+H2O(g)
|
-1.01×105
|
Table 3 Thermodynamics of adsorption-desorption reactions involving CO2 at various temperature
Reaction
|
ΔH/(kJ mol-1)
|
ΔS/ (J mol-1K-1)
|
ΔG/(kJ mol-1)
|
T/(K)
|
Reaction possibility
|
(8)
|
Cu2O(s)+CO2(g)→2CuO(s)+CO(g) (adsorption)
|
+141.0
|
-23.0
|
+147.9
|
298.0
|
Not favourable
|
(9)
|
CuO(s)+CO2(g)→CuCO3(s) (adsorption)
|
-45.5
|
-169
|
+4.9
|
298.0
|
Favourable
|
(10)
|
CuCO3(s) →CuO(s)+CO2(g)(desorption)
|
+45.5
|
+169
|
-4.9
|
298.0
|
Favourable (very low temperature)
|
(11)
|
2CuCO3(s)→Cu2O(s) + 2CO2(g) + 1/2O2(g) (desorption)
|
+233.0
|
+447.6
|
-4.2
|
530.0
|
Favourable (high temperature)
|
4.2 Formation process of exfoliated and residual oxides
When the oxidizing composition is O2 + CO2 + H2O, O2, O2 + CO2 and O2 + H2O, it can be seen from the previous analysis that the main physical phases of the exfoliated oxide layer and the residual nodular oxide are all CuO. In the macroscopic morphology, there is dark-red Cu2O on the copper billet surface after the external oxide layer is peeled off (Fig. 3), while there is no Cu2O at the interface between the residual nodular oxide and the substrate (Fig. 4). In terms of microscopic morphology, the external oxide layer is more prone to spalling when there is a greater amount of Cu2O at the interface with the substrate (Fig. 7). EPMA results in Fig. 6 confirm that the position where nodular oxide partially peels off is copper substrate rather than the Cu2O. The exfoliated oxide layer is characterized by the presence of continuous large-sized pores at the exfoliation interface (Fig. 8), whereas small discontinuous pores are present at the nodular oxide-matrix interface (Fig. 9). Based on the above phenomena, it is speculated that the cause of the nodular oxide is: (1) CuO is formed directly on the copper surface without Cu2O between them. (2) Small discontinuous pores are present at the CuO-matrix interface. On the contrary, an easily exfoliated external oxide layer is formed when loose and porous Cu2O exists at the CuO-matrix interface; meanwhile, continuous pores are formed at the exfoliated interface when the Cu2O particles are small in size and large in number.
Synthesizing the previous analyses and experimental results, and combining them with the current studies on the kinetics of copper oxidation[3–5,18−19], the high-temperature oxidation of copper in the oxidizing compositions of O2, O2 + H2O and O2 + CO2 could be crudely speculated, which is schematically shown in Fig. 14.
The formation of oxide layer on copper surface is shown in Fig. 14(a) When the oxidizing composition is O2. Firstly, O2 is adsorbed on the copper substrate (stage ①). Then Cu react with O2 to form Cu2O and CuO respectively. Since the partial pressure of oxygen for the Cu2O formation is much lower, Cu2O is generated in most of the zone on the copper surface and CuO in the remaining zone (stage ②). Because both Cu2O and CuO are P-type semiconductor oxides, copper ions have to migrate continuously to the oxide/heating atmosphere interface, which leads to the formation of metal vacancies at the oxide-matrix interface, resulting in a large number of pores. It takes two copper ions to produce one Cu2O, while it takes only one copper ion to produce a CuO. Therefore, the metal vacancies underneath the Cu2O are more than those underneath the CuO. This is also observed by Fig. 7, the CuO grain size is larger and the oxide layer in CuO zone is dense, meanwhile the Cu2O grain size is smaller and the number of pores in this region is significantly higher. As the heating temperature increases (< 850 ℃), Cu2O would react with O2 to form CuO resulting in the thickness of oxide layer increases (stage ③). It takes one Cu2O to produce two CuO, therefore the growth pores also appear at the Cu2O-CuO interface. When the heating temperature is greater than 850 ℃ to 940 ℃ insulation stage, Cu2O no longer reacts with O2 to generate CuO. Then the copper ions that continue to migrate to the oxide layer-heating atmosphere interface react with the adsorbed oxygen to form CuO, resulting in the thickness of oxide layer continues to increase (stage ④). The rapidly growing CuO also grows laterally to form a "mushroom-shaped" oxide layer, which in turn forms pores inside the CuO layer parallel to the oxide-copper interface[20]. In addition, the oxide layer releases growth stresses through plastic deformation as it thickens, resulting in the pores appear within it as well. During the cooling of copper sample (stage ⑤), since the more porosity at the Cu2O-Cu interface and the greater difference in the thermal expansion coefficients of Cu2O-Cu (> CuO-Cu2O and CuO-Cu), the Cu2O-Cu interface is more susceptible to cracking[21], which cause the external oxide layer to spall off. Compared with the above, the fewer pores exists at CuO-Cu interface, so that the binding force is stronger. This makes it difficult for external oxide layer to peel off and form " nodular" oxides on the copper substrate. Due to the formation of the above mentioned "parallel pores" during the growth of CuO, part of the "nodular" oxide may also fracture at the "parallel" pore position. Ultimately only part of the nodular oxides remains on the substrate.
When the oxidizing composition is O2 + H2O [Fig. 14(b)], O2 and H2O are first adsorbed on the substrate (Stage ①). Then Cu reacts with O2 to form Cu2O and CuO, respectively (Stage ②), which likewise forms pores at the oxide-substrate interface and inside the oxide layer. As the heating temperature increases (< 850 ℃), Cu2O reacts with O2 to form CuO. Meanwhile, the CuO is reduced to Cu2O by a small amount of H2 that is decomposed by H2O (stage ③). At this point, the small-sized H2 which is incorporated into the oxide layer increases the mobility of dislocations and the plasticity of oxide layer. Therefore, the sufficient plastic flow effectively eliminates the vacancies generated by the outward migration of metal ions[22]. When the heating temperature is greater than 850 ℃ to 940 ℃ insulation stage, the thickness of oxide layer continues to increase. Meanwhile H2O decomposes more H2 at the same time to reduce the CuO at CuO- Cu2O interface to Cu2O (stage ④). At this point, the pores in the oxide layer are also annihilated due to strong plasticity. During the cooling of copper (stage ⑤), almost all zones at the CuO-matrix interface are interspersed with loose and porous Cu2O, which results in a complete exfoliation of the external oxide layer, with virtually no "nodular" oxides remaining.
When the oxidizing composition is O2 + CO2 [Fig. 14(c)], less Cu2O and CuO may generate on the substrate due to the large-sized CO2 occupies part of O2 (Stage ①). After CuO is generated, CO2 is adsorbed on its surface and reacts to form CuCO3. Then CuCO3 is rapidly decomposed into CuO and CO2, and a small portion of CO2 is left inside the oxide layer which causes pores (Stage ②,③,④).Thus the oxidation process when the oxidizing composition is O2 + CO2 is generally similar to that in the oxidizing composition O2. It is just that the size of CO2 decomposed by CuCO3 is so large, which cannot be fully incorporated into the oxide layer to increase the plasticity and eliminate the pores, but instead exacerbates the pores in the oxide layer[23] .