Introduction

Ge is a relatively rare element, brittle, transparent in the infrared spectrum and a semiconductor. It has been increasingly used for numerous applications such as infrared night vision systems, jewels (Ag-Ge alloys), and stainless steel production. Ge is not found in the elemental state, it is extracted from various raw materials including ore concentrates, by-products of Zn extraction process and fly ash at coal-burning power plants. It is usually produced from GeO2, which is an intermediate product obtained by the processing of raw materials. Ge can be recovered from GeO2-containing scraps such as those of wide-angle camera lenses, optical fibers, and catalysts.1

GeO2 is commonly reduced to the metal by H2 and solid C. The C reduction of GeO2 takes place via the following carbothermal reaction:

$$ {\text{GeO}}_{2} \;({\text{s}}) + \, 2{\text{C}}\;({\text{s}}) \to {\text{ Ge}}\;({\text{s}}) \, + \, 2{\text{CO}}\;({\text{g}}) $$
(1)

This reaction requires high temperatures (> 1473 K) and prolonged times owing to sluggish reaction kinetics between the solid reactants.2 Furthermore, high-purity carbon is required to minimize contamination in Ge for electronic applications. Gas–solid reactions may reduce temperature and time owing to the direct contact between the reactants. For example, the H2 reduction of GeO2 typically takes place at low temperatures, for instance at 800 K,3 via the overall reaction:

$$ {\text{GeO}}_{2} \;({\text{s}}) \, + \, 2\;{\text{H}}_{2} \;({\text{g}}) \, \to {\text{ Ge}}\;({\text{s}}) + \, 2{\text{H}}_{2} {\text{O}}\;({\text{g}}) $$
(2)

The reduced product is purified by zone refinement techniques for use in electronic devices.1

CH4, a main component of natural gas, may be considered as an alternative reducing agent for GeO2 because it is relatively cheap and contains H2. CH4 has been used to reduce metal oxides such as Fe2O3,4 NiO.5 Little is known about the reaction of CH4 with GeO2. Here, attempts were made to shed light on the following issues: (1) is the reduction of GeO2 possible in a stream of CH4; (2) what are the optimal parameters (the temperature and time) to obtain Ge without free C; and (3) what is the reaction pathway leading to Ge from GeO2 in CH4 flow? Furthermore, understanding these issues may have practical implications for producing single-phase Ge from GeO2-containing scraps under CH4 atmosphere. Accordingly, this study was undertaken to investigate the CH4 reduction of GeO2.

Thermodynamic Considerations

Prior to the experimental runs, a chemical equilibrium analysis of the Ge-O-C-H system was carried out to explore the possibility of the reduction of GeO2 by CH4, and to assist in understanding the process chemistry. The computational approach was based on Gibbs’ free energy minimization method,6 which does not require knowledge of specific reactions involved in a system. The equilibrium calculation gives a combination of the species, which satisfy the material balance and minimum free energy requirements at constant temperature and input reactant composition.

All possible species that may be present in a system and their thermodynamic data are needed at the temperatures studied. CO, CO2, CH4, H2, H2CO, C2H4, H2O, GeH4, GeO, and Ge were among the 62 gaseous species considered for the Ge-O-C-H system. Solid equilibrium phases were assumed to be pure GeO2, Ge, and C. Gibbs’ free energy of formations of the constituents were obtained from the thermochemical tables.7,8 Equilibrium compositions of gas and solid phases were computed as a function of temperature (1000–1300 K), and input CH4 mole fraction (\( X_{{{\text{CH}}_{4} }} \approx 0{-}1 \)) at 1 atm using SOLGAS MIX software. \( X_{{{\text{CH}}_{4} }} \) is defined as \( n_{{{\text{CH}}_{4} }}^{ \circ } /\left( {n_{{{\text{CH}}_{4} }}^{ \circ } + n_{{{\text{GeO}}_{2} }}^{ \circ } } \right) \), where n° is the initial mole of the reactants.

Figure 1a shows the domains for the formation of the solid phases predicted as a function of temperature and \( X_{{{\text{CH}}_{4} }} \). It can be seen that the GeO2 + Ge, Ge, and Ge + C phase fields appear successively as \( X_{{{\text{CH}}_{4} }} \) increases from near zero to near unity. Single-phase Ge forms at intermediate CH4 mole fractions, and its formation range increases with increasing temperature (for example, from 0.42–0.65 at 1100 K to 0.27–0.66 at 1300 K). At \( X_{{{\text{CH}}_{4} }} \) values higher than the upper limits, free C forms along with Ge. Figure 1b shows variation of the partial pressures of the gaseous species with \( X_{{{\text{CH}}_{4} }} \) at 1100 K. The relevant knowledge deduced from the figure may be summarized as follows. The main constituents of the gas phase are predicted to be CO2, CO, H2, H2O, CH4, and GeO. Minor species such as H2CO, C2H4, and GeH4 with partial pressures less than 10−6 atm are also present in the system. The partial pressures of H2O and CO2 are higher than those of H2 and CO, respectively, in the GeO2 + Ge phase field (\( X_{{{\text{CH}}_{4} }} < 0.4 \)). In the Ge phase field (\( X_{{{\text{CH}}_{4} }} \) = 0.42–0.65), H2, CO and CH4 partial pressures increase while those of H2O and CO2 decrease with increasing \( X_{{{\text{CH}}_{4} }} \). Similar trends were determined at the other temperatures studied (for instance, at 1300 K; refer to online supplementary material Fig. S-1). It is also noticed from the figures that a significant amount of GeO species forms in the gas phase. The equilibrium analysis suggests that it is possible to reduce GeO2 to Ge by CH4. The overall reduction reactions may be expressed as

$$ 2{\text{GeO}}_{2} \;({\text{s}}) \, + {\text{ CH}}_{4} \;({\text{g}}) \to 2{\text{Ge}}\;({\text{s}}) + {\text{CO}}_{2} \;({\text{g}}) + \, 2{\text{H}}_{2} {\text{O}}\;({\text{g}}) $$
(3)
$$ {\text{GeO}}_{2} \;({\text{s}}) \, + \, 2{\text{CH}}_{4} \;({\text{g}}) \to {\text{Ge}}\;({\text{s}}) + \, 2{\text{CO}}\;({\text{g}}) + \, 4{\text{H}}_{2} \;({\text{g}}) $$
(4)
Fig. 1
figure 1

(a) Equilibrium diagram showing the solid phases predicted as a function of temperature and \( X_{{{\text{CH}}_{4} }}. \) (b) Variation of partial pressure of the species with \( X_{{{\text{CH}}_{4} }} \) in equilibrium with the solid phases at 1100 K

Experimental Procedures

The experimental runs were carried out in a horizontal furnace equipped with a quartz tube (500 mm in length, 20 mm in diameter), SiC heating elements, and gas flow meters. Crystalline white GeO2 powder (99.998%) supplied by Aldrich was used as delivered. Thermogravimetric analysis in Ar revealed that the oxide exhibited a slight mass loss (2.1 wt.%) owing to the moisture removal (refer to online supplementary material Fig. S-2).

The oxide powder (~ 0.05 g) in an alumina boat was inserted into the hot zone (~ 80 mm in length) of the quartz tube and heated to the reaction temperatures (885–1075 K) at a ramp rate of 15 K/min in Ar (99.999%). When the desired temperature was reached, undiluted CH4 was allowed to flow (13.4 standard cubic centimeter per min, sccm) through the tube for various isothermal reaction times. After the reaction, Ar was flowed (42.5 sccm) again during cooling to room temperature. Mass measurements before and after the runs were carried out at room temperature by using a calibrated electronic balance with a sensitivity of ± 0.1 mg (Sartorius BP110S) to follow the extent of the reaction between the reactants. X-ray diffraction (XRD) analysis was carried in the 2θ range of 15°–90° using a diffractometer (Rigaku D/Max 2200) with a Cu radiation tube (λ = 0.154056 nm). A scanning electron microscopy (SEM; FEI Quanta FEG 250) with an energy dispersive x-ray spectrometer (EDX) was used for the morphology studies.

Results and Discussion

Effects of Temperature and Time

The oxide mass at 885 K essentially did not change within 60 min, indicating that the reaction of CH4 with the oxide was negligible owing to the high CH4 stability. The reactivity, however, increased with temperature, as revealed by Fig. 2, displaying the variations of the sample mass with the reaction times at 1025 K and 1075 K in CH4 flow. The horizontal dashed line at 69.4 wt.% represents the theoretical mass for the complete conversion of GeO2 to Ge. At 1025 K, the mass decreases to 63 wt.%, which is below the theoretical line as the reaction time is increased to 120 min. At 1075 K, the mass loss occurs at a faster rate. The mass is close to the theoretical value for the full reduction within 30 min. After 120 min reaction, it is 7.6 wt.% of the starting mass. It was noted that the mass loss was not accompanied by a change in color; the color of the residues was white.

Fig. 2
figure 2

Variation of the oxide mass (GeO2) with reaction time in CH4 flow at 1025 K and 1075 K

Figure 3a shows the morphology of the GeO2 powder as delivered. It consists of agglomerates with a size ranging from 5 μm to 22 μm. The higher magnification image (Fig. 3b) reveals that the agglomerates contain fine grains with a size of 0.1–0.4 μm. After the reaction of the oxide with CH4 at 1075 K for 120 min, the morphology of the residue shows porous and whiskery features with etch pits (Fig. 3c). EDX analysis reveals O Kα, Ge Lα,β, Ge Kα, and Ge Kβ x-ray peaks at the energy levels of 0.50 keV, 1.20 keV, 9.85 keV, and 10.90 keV, respectively, suggesting that the residue in the boat is GeO2.

Fig. 3
figure 3

SEM images of GeO2 powder used (a) at low magnification, and (b) at high magnification. (c) SEM image of the product remained in the alumina boat after the reaction of GeO2 powder with CH4 for 120 min at 1075 K. (d) EDX spectra of the residue

The Powdery Deposit by Downstream Side

It was noticed that the experimental runs at 1075 K resulted in a powdery black product deposited on the internal surface of the reaction tube by the downstream side. To facilitate morphology and phase analysis, the product was also allowed to deposit on a flat silicon 〈100〉 substrate placed arbitrarily at 1050 K by the downstream side. Figure 4a shows the product formed on the Si substrate during the reaction between the GeO2 powder and CH4 for 120 min. As seen from the SEM image at low magnification, the deposit consists of fine particles and large platelets. The EDX analysis on this product (Fig. 4b) reveals Ge Lα,β, Ge Kα, and Si Kα,β x-ray peaks, but no peaks from oxygen and carbon are seen, suggesting that the deposit is metallic Ge. Furthermore, multifaceted grains with a size of the order of 1 μm are observed as revealed by the side view of the deposit at a higher magnification (Fig. 4c). Rarely, whiskers with round particles at their tips or roots are also seen (Fig. 4d). EDX analysis (not shown) indicated that the whiskers contain only Ge.

Fig. 4
figure 4

(a) Surface view of the product deposited on a silicon 〈100〉 substrate arbitrarily located at 1050 K in the downstream side of the reaction tube during the reaction of the oxide powder with CH4 at 1075 K for 120 min. (b) EDX spectrum obtained from image (a). (c) Side view of the product deposited on the Si substrate. (d) Surface view of the deposit

XRD Phase Analyses of the Residue and the Deposit

Figure 5a and b shows x-ray diffraction patterns of the residue obtained at 1075 K after 120 min reaction, and the product simultaneously deposited on the Si substrate at 1050 K by the downstream side of the quartz tube, respectively. The diffraction data (interplanar spacings and peak intensities) determined from the XRD pattern of the residue matched those of hexagonal and tetragonal GeO2 phases. No trace of the metallic Ge was observed in the pattern.

Fig. 5
figure 5

(a) XRD pattern of the residue in the alumina boat obtained after the reaction of GeO2 with CH4 at 1075 K for 120 min. (b) The product simultaneously deposited on the Si substrate at 1050 K by the downstream side of the reaction tube

The diffraction peaks from the deposit (Fig. 5b) were assigned to the (111), (220), (311), (400), (331), and (422) crystallographic planes with interplanar spacings (d) of 0.3220 nm, 0.1984 nm, 0.1695 nm, 0.1408 nm, 0.1293 nm, and 0.1152 nm, respectively. These values are in agreement with the standard data (0.3260 nm, 0.2002 nm, 0.1706 nm, 0.1414 nm, 0.1298 nm, and 0.1155 nm) for Ge with diamond cubic crystal structure (PDF no. 89-3833), indicating that the deposit is metallic Ge. The intensity of the (111) peak is the strongest, as in the standard data, but the intensities of the other peaks are lower. For example, the integrated intensity of the (220) peak is measured to be 7, whereas the standard value is 61.2. This discrepancy is attributed to the preferential growth of Ge (111) grains. It is noted that the peak located at 2θ = 69.68° (d = 0.1348 nm) belongs to the (400) crystal plane (d = 0.1358 nm) of the Si substrate with an orientation of 〈100〉.

Reaction Pathways to Ge

The reaction pathways leading to the Ge formation from GeO2 in CH4 flow may be explained as follows (refer to online supplementary material Fig. S-3). It is postulated that methane cracks into the reducing species of H2, CxHy in the gas phase, prior to the reaction with GeO2. These species diffuse into the powder bed and are adsorbed on the GeO2 particles. The reactions between the oxide particles and the species result in the mass loss. The partial pressure of gaseous GeO species in the Ge-O-C-H system is computed to be relatively high (e.g., ~ 10−2 atm at 1100 K for \( X_{{{\text{CH}}_{4} }} < 0.4 \)) compared to those of GeH4 and Ge (< 10−6 atm). It was also reported2,3 that GeO2 sublimates via GeO in H2 atmosphere. Therefore, it is plausible to propose that the mass loss observed in the present study is attributed to the oxide sublimation in the form of GeO. GeO may be produced by the following reactions:

$$ {\text{GeO}}_{2} \;({\text{s}}) \, + {\text{ H}}_{2} \;({\text{g}}) \to {\text{GeO}}\;({\text{g}}) + {\text{ H}}_{2} {\text{O}}\;({\text{g}}) $$
(5)
$$ {\text{GeO}}_{2} \;({\text{s}}) \, + \, 1/x{\text{ C}}_{x} {\text{H}}_{y} \;({\text{g}}) \to {\text{GeO}}\;({\text{g}}) + {\text{ CO}}\;({\text{g}}) + \, y/2x{\text{ H}}_{2} \;({\text{g}}) $$
(6)
$$ {\text{GeO}}_{2} \;({\text{s}}) \, + {\text{ CO}}\;({\text{g}}) \to {\text{GeO}}\;({\text{g}}) \, + {\text{CO}}_{2} \;({\text{g}}) $$
(7)

It is also possible that Ge forms on the oxide particle surfaces. The element may then react with GeO2 to produce volatile GeO species9 by the following reaction:

$$ {\text{Ge}}\;({\text{s}}) \, + {\text{GeO}}_{2} \;({\text{g}}) \to 2\;{\text{GeO}}\;({\text{g}}) $$
(8)

This reaction may not be significant in the formation of GeO owing to sluggish solid–solid reaction. The product GeO diffuses into the main gas stream, and is swept away by the gas flow. This diminishes its proportion above the powder bed leading to the high GeO concentration gradient, which, in turn, increases the oxide sublimation rate. In the downstream section of the tube, the reducing conditions appear to be still present. The gaseous GeO is reduced to Ge by the CH4 decomposition by-products (e.g., H2, CO and CxHy) via the reactions analogous to Eqs. 57. For this, the following reaction may be given as an example:

$$ {\text{GeO}}\;({\text{g}}) \, + {\text{H}}_{2} \;({\text{g}}) \to {\text{Ge}}\;({\text{s}}) + {\text{H}}_{2} {\text{O}}\;({\text{g}}) $$
(9)

In the reduction of GeO2 and GeO, H2 may be considered as the dominant species as it has low mass and small size (high diffusivity), and the highest concentration in the gas phase amongst the reducing species.

The thermodynamics predicts that free C co-exists with Ge. However, C was not detected in the products by XRD and SEM–EDS. It is reported that CH4 decomposes slightly at temperatures below 1200 K.10 Hence, no significant C is formed due to sluggish CH4 decomposition at the temperatures studied (885–1075 K). The white color of the residue at 1075 K may be indicative of the absence of free C. However, small amounts of C may be present as solute and free C in the Ge products because the analytical techniques used are not sensitive. Solubility of C in Ge is reported to be very small (< 0.1 at.%).11 Zone refinement technique may be used to reduce the contaminant in the product. The technique is also applied to the H2-reduced Ge to produce electronic grade Ge.1 It is proposed that free C can be physically separated from Ge, as they are immiscible when the mixture is heated above the melting of Ge (1210 K). Because liquid Ge does not wet carbon surfaces, graphite-lined tubes have been used for zone refinement of Ge. This indicates that C contamination from graphite is not significant. Even though the quality of the product obtained in the present study may be unsuitable for optical or electronic devices, it can be used as an alloying element in steels and in Argentium™ Sterling Silver.

It should be mentioned that this study might be extended to the recycling of GeO2-containing scraps such as ground SiO2-GeO2 glass (optical fiber). SiO2 is essentially stable in CH4 flow at the temperatures studied,10 suggesting that GeO2 in glass may selectively sublimate and be reduced to Ge in a stream of CH4.

Conclusion

The reactivity between GeO2 and CH4 at 885 K and 1025 K is relatively poor owing to the high stability of CH4. The CH4 decomposition at 1075 K suffices for the reduction of GeO2. The substantial mass loss observed at this temperature is attributed to the oxide sublimation in the form of GeO. Metallic Ge forms from the sublimed oxide transported by the gas flow to the downstream side of the reactor tube. It is proposed that the reduction reactions take place between the oxides and by-products of CH4 decomposition. This study demonstrates that Ge can be obtained from GeO2 in CH4 flow.