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͑ a ͒ Voltage profiles from ballistically deposited germanium and ͑ b ͒ evaporated germanium cycled at a rate of C/4. The arrows indicate the charge step of the first cycle. 

͑ a ͒ Voltage profiles from ballistically deposited germanium and ͑ b ͒ evaporated germanium cycled at a rate of C/4. The arrows indicate the charge step of the first cycle. 

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Germanium nanocrystals (12 nm mean diam) and amorphous thin films (60-250 nm thick) were prepared as anodes for lithium secondary cells. Amorphous thin film electrodes prepared on planar nickel substrates showed stable capacities of 1700 mAh/g over 60 cycles. Germanium nanocrystals showed reversible gravimetric capacities of up to 1400 mAh/g with 6...

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... peak positions from elemental germanium as well as a number of Li-Ge phases 15,18-20 are shown in Fig. 3c. A plot of the voltage profiles from a 236 ␮ g electrode of ballistically deposited nanocrystalline germanium and a 42 ␮ g electrode of an evaporated germanium nanofilm are shown in Fig. 4. The most salient feature is the high reversible capacity of the nanostructured electrodes. The evaporated germanium nanofilm accommodates approximately 4.5 lithium atoms per germanium atom, which is slightly higher than the theoretical limit for crystalline Li 22 Ge 5 . The film thickness is estimated to be 60 nm based upon the electrode mass and bulk material density. Thicker films of up to 250 nm ͑ 180 ␮ g ͒ were cycled at slower rates with similar results. The ballistically deposited material hosts up to 3.8 lithium atoms per germanium atom. Graphs of the differential capacity, d ͉ x ͉ /dE, are displayed in Fig. 5a and b, where x is the lithium concentration in Li x Ge and E is the cell potential. The peaks are indicative of lithium insertion into equipotential sites. The dual peaks exhibited in these plots suggest that at least two new phases are formed during lithiation. Upon lithium insertion/extraction these new phases are formed at 180/380 mV and 360/500 mV. The disparity in potentials between lithium insertion and extraction is due to the over potential resulting from the constant current, or nonequilibrium state. The actual phase tran- sition energy can be approximated by averaging the charge and discharge values, giving ϳ 280 and ϳ 430 mV at room temperature. Plots of the cycle life for bulk crystalline germanium ͑ grain size р 38 ␮ m ͒ and the two types of nanostructured germanium electrodes are displayed in Fig. 6. The nanostructured electrodes were cycled at a rate of approximately C/4 ͑ i.e. , 375 mA/g ͒ between 0 and 1.5 V, whereas the bulk electrode was cycled at a much slower rate ͑ϳ C/ 30 ͒ to maximize the specific capacity. Despite the gentle cycling conditions, bulk germanium exhibited a poor cycle life, with nearly complete capacity loss by the seventh cycle. The evaporated germanium nanofilm exhibits a large first-cycle irreversible capacity with a steady specific capacity of 1.7 Ah/g and no detectable capacity fade over 60 cycles. A similar first-cycle capacity loss is observed with the ballistically deposited germanium. Although the initial stable capacity is similar to that of the evaporated nanofilm 1.4 Ah/g , the ballistically deposited electrode exhibits a constant capacity fade of approximately 0.01 Ah/g per cycle. The rate capabilities of the nanostructured electrodes were also investigated. A 250 nm evaporated germanium film ͑ 180 ␮ g ͒ was cycled at a constant discharge rate of 0.5 C and a variable charge rate from 0.5 C to 1000 C. At 0.5 C the cell was cycled between 0 and 1.5 V and the upper limit of the potential was increased by 50-100 mV on each subsequent cycle to account for the over potential associated with the increased cycling rates. A ballistically deposited nanocrystalline film ͑ 314 ␮ g ͒ was cycled under similar conditions. Figure 7 shows a plot of the normalized capacity ( Q / Q 0 ) at various discharge rates. The vertical error bars reflect the ...
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... with the data acquisition system and are visible only when the charging times are short. Remarkably, only a moderate capacity loss is observed between 1 and 1000 C. A test of the cycle life at high rates was also performed on the amorphous thin film electrode. In this experiment the 250 nm germanium film was cycled at a discharge rate of 0.5 C and a charge rate of 1000 C. The cell was cycled between 0 and 3.0 V. Figure 8 displays a plot of the charge and discharge capacities over 30 cycles. This figure clearly illustrates the overlap between the high-rate charge step and low-rate discharge step. This indicates that all of the lithium inserted over a 4 h lithiation period is removed in less than 4 s upon delithiation. Li-Ge phases .—According to the Li-Ge phase diagram, a number of phase transitions are expected to occur during lithiation at room temperature. 15-20 Phase transitions are easily identified by plateaus in the voltage profile ͑ Fig. 4 ͒ . The Gibbs phase rule prohibits any variation in the chemical potential ͑ or cell voltage ͒ at fixed temperature when two simultaneous phases are present. In a two-phase re- gion, the potential is constant during changes in lithium concentration as one phase grows at the expense of the other. The voltage profiles of Fig. 4a and b exhibit a reasonably smooth slope on the charge and discharge cycles for both of the nanostructured electrodes. However, even subtle variations in the slope may be indicative of the formation of a new phase. The differential capacity plots of Fig. 5a and b were prepared to accentuate changes in the slope of the potential curves. Peaks in the differential capacity indicate re- gions of the potential where lithium ions are entering nearly equipotential sites. The presence of multiple peaks suggests that a number of different Li-Ge phases are formed during electrochemical lithiation in both the evaporated and ballistically-deposited electrodes. This is in contrast to silicon, which forms amorphous phases upon lithiation at room temperature. 21 The peaks in the Li-Ge diffraction patterns of Fig. 3a and b correspond to a number of crystallographic phases, suggesting that the material is heterogeneous in the lithiated state. The most obvious phases present are LiGe, 15 Li 7 Ge 2 , 18 and Li 15 Ge 4 . 19 Other phases that may be present in small quantities are Li 11 Ge 6 , 16 Li 9 Ge 4 , 17 and Li 22 Ge 5 . 20 In addition, the broad underlying peaks located at 2.2 and 4.5 Å suggest that there may be an amorphous phase present in the lithiated material. However, unlike the silicon system, germanium does not appear to become amorphous during electrochemical lithiation at room temperature. In fact, electrochemical lithiation appears to enhance the crystallinity of the material, which may be attributed to the rapid rate kinetics of lithium in germanium. Surface-electrode interphase .—The large irreversible capacity observed on the initial cycle is likely attributed to the formation of a surface-electrolyte interphase ͑ SEI ͒ . A reaction of lithium with the electrolyte accompanies the initial lithiation of the germanium electrode, forming a passivation layer. This reaction is beneficial when using a carbon electrode because it prevents solvent decomposition and cointercalation during lithiation. Although the lithium alloy electrodes are typically not affected by solvent cointercalation, the presence of a passivation layer may prevent spontaneous solvent decomposition. Despite the first cycle capacity loss, the growth of the SEI layer does not appear to be detrimental to the specific capacity or cycle life. The first cycle capacity loss is ϳ 70% of what was observed in nanostructured Li-Si materials. 11 The lower first- cycle irreversible capacity may be attributed to the lack of a native oxide on germanium, which might otherwise contribute to the SEI if it were reduced by lithium. Cycle life .—The high specific capacities of the nanostructured germanium electrodes were found to be stable for over 50 cycles ͑ Fig. 6 ͒ . Although the high capacities are expected from the high solubility of lithium in germanium, the complete lithiation of germanium has never been observed at room temperature on these time scales. Similarly, the slow kinetics of lithium in germanium are expected to create large stresses within the material, causing the decrepitation of the host. This is clearly observed in the attenuated cycle life of the bulk germanium electrode ͑ Fig. 6 ͒ . Remarkably, there is no capacity loss observed in the amorphous nanofilm over 62 cycles. Similarly, the nanocrystalline electrode exhibits only a slow loss of capacity over 50 cycles. These results indicate that the active germanium particles do not decrepitate significantly during electrochemical cycling. The constant capacity loss observed in the nanocrystalline system is attributed to the spallation of particles off the surface of the current collector resulting from changes in the sample volume by up to 230% during cycling. 22 The stability of the amorphous nanofilm during cycling is surprising. Although this electrode is thin, suggesting rapid lithium transport perpendicular to the film, the electrode is attached to a rigid substrate. The large volume expansion that occurs during lithiation is expected to create large strain gradients as the lithium front propagates in and out of the film. Such strains are more than sufficient to debond the film from the substrate. However, complete decohesion of the film does not occur during cycling; the film remains electrically intact. Despite the electrical continuity, it is ...

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... 15 Although Ge comes at a high cost, it is an abundant element, and its high price is merely a consequence of the current low demand. 16 The drawback of Ge as anode (like for P, Si, etc.) is a high volume expansion during cycling (greater than 200%); however, this problem might be overcome by microstructural modifications, such as coating with amorphous black carbon, using porous structures, or composite materials. [17][18][19] Thermodynamic stability and average voltages of intermediates during the charge-discharge process are important characteristics of anode materials. ...
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