Retracted: Structural and Optical Properties of Germanium Thin Films Prepared by the Vacuum Evaporation Technique

The paper titled “Structural and Optical Properties of Germanium Thin Films Prepared by the Vacuum Evaporation Technique” [1], published in Physics Research International, has been retracted as it is essentially identical in content; the paper contains identical figures from a previously published paper titled “Nanocrystalline formation and optical properties of germanium thin films prepared by physical vapor deposition,” by A. A. Akl andH. Howar, which was published in Journal of Physics and Chemistry of Solids, Volume 70, Issue 10, October 2009, Pages 1337–1343.


Introduction
Germanium is an indirect semiconductor and it has a face centered cubic crystal lattice structure of diamond type with a lattice constant of  = 5.657 >.Germanium is a typical semiconductor carrying a specific resistance of 500 cm at room temperature.Germanium-based materials are in use for light emitting devices [1], infrared sensors [2], and solar cells [3].Due to the possibility of obtaining different values for the conductivity, germanium has a broad area of usage of the semiconductors such as current resistors, photovoltaic cells, and other electronic devices and appliances.The related indirect electron transitions are with higher probability responsible for absorption and emission of light.For this case, the width of the energy gap is given by 0.6 ≤  gi ≤ 0.8 eV.It can be observed another bottom of the conduction band, which is directly above the maximum of the valence band, and the related direct energy gap is given by  gd ≥ 0.8 eV [4][5][6][7].The width of the band gap becomes smaller with increasing temperature.Due to the thermal expansion, the lattice constant changes which causes a change in the band structure which is small [6].For example at a variation of the temperature to 291 ∘ K   varies by (0.6 eV-0.75 eV) [6,7].
Therefore, in germanium, light absorption can occur in the beginning at energy of 0.6 eV due to indirect transitions and at 0.8 eV due to direct transitions.The value of the extinction coefficient for germanium is given by around 10 2 cm −1 in the first region, 10 −4 cm −1 in the second region, and increases up to 10 6 cm −1 if the photon energy becomes larger than 3.0 eV [6].Germanium films deposited at the room temperature are in the amorphous phase.In principle germanium begins to crystallize at higher temperatures [8], which occur above a substrate temperature of   > 300 ∘ C. When the substrate temperature reaches 800 ∘ C, the germanium film is expected to be single crystalline with a reflection corresponding to the one of single crystalline bulk germanium.On the other hand, the reflection coefficient of germanium films exceeds the value corresponding to bulk germanium [9].It is possible to transform amorphous deposited films into crystalline structure by annealing the 2 Physics Research International specimens in vacuum at 300 ∘ C [10].This multiplicity of properties makes such films suitable for broad usage in manufacturing a number of electronic devices such as light detectors, heterojunctions, and sensors for temperature and magnetic field.In the research for cheap substrates for electronic devices, thin films of germanium deposited on glass appear to be an excellent candidate, if one succeeds in obtaining a grain-like structure [11].Succeeded in growing amorphous films of 2000 > on glass and in improving the structure and obtaining crystals by annealing at temperatures around 500 and 600 ∘ C. Similarly it was possible to crystallize layers of amorphous germanium deposited on a film of gold, where the crystallization depended on the continuity of the gold layer and on the thickness of the amorphous germanium layer [12].The goal of this paper is to study the effect of annealing temperature on structural phase of germanium thin films and there optical properties.

Experimental Details
Germanium thin films of purity 99.99% were deposited on clean glass plates (2 cm × 4 cm) using an evaporation device (furnace) of model Edwards Auto 306 thermal evaporation in vacuum at pressure 10 −6 mbar.The distance between the germanium evaporation source (boutique min Tungsten W) and the rotating disk was 14.0 cm.The velocity of the deposition was greater than 0.3 nm/s for all samples.For the transition from the amorphous to the crystalline phase, the initially amorphous films were annealed using a furnace of type CARBOLITE CWF-1200 that allows fixing the temperature electronically to the annealing temperature desired in the experiment.The annealing procedure was performed in separate steps, where each step had a definite temperature and annealing duration.The temperature ranged from initially 100 ∘ C up to 575 ∘ C, and the time interval from 10 min until 60 min.The X-ray spectrum was carried out using X-Ray diffractometer (model PW generator 1830) to investigate the structure of the deposited films.The scanning range of 2 was restricted to the range 20-80 ∘ .The thickness of the thin films was measured using a VEECO DEKTAK3 profilometer.The surface morphology of the films was analyzed using a scanning electron microscope (SEM).Using a spectrophotometer of type JASCO-570, we scanned the transmittance () and reflectance () spectra in the spectral region of  > 400 nm to obtain an optical characterization of the films.

Results and Discussion
X-Ray diffraction of germanium thin films is shown in Figure 1 as a typical spectrum for the films, which were deposited on glass substrates at room temperature.The spectra showed that all samples have an amorphous structure.Figure 2 shows the XRD spectra of the germanium thin films that were annelid to up to 450 ∘ C for duration of 30 min have amorphous phase, since there are no peaks pointing out the crystalline structure, whereas shows clearly the onset of crystallization after annealing to a temperature of 500 ∘ C.Here it is noticed that the relative strength of the peaks is highest at 525 ∘ C, while the strength decreases at 550 ∘ C, and the peaks disappear completely at 600 ∘ C. The origin of this might be that the annealing procedure as explained in Figure 2 is suitable up to 550 ∘ C and above that the germanium film transforms itself into a soft substance, a part of which sticks to the surface of the glass which is placed above the film, and as a consequence there is not enough material in the remainder such that granules can build up in the film.The average values of the lattice parameters were calculated for the crystallized films from the diffractograms and it was found that germanium thin films has average lattice parameter ( = 4.69 Å) that agree well with other references [4,13].Comparison of the spectra of the specimens crystallized in the previously mentioned annealing procedure with reference spectra of crystalline germanium from a data bank gave evidence that our specimens were polycrystalline with a cubic face centered crystal structure as detailed in Table 1.  Figure 4 shows some examples for SEM images of films with an amorphous film Figure 4(a) and films with crystalline structure Figures 4(b) and 4(c).
The images showed that the verification change of the structural of the germanium was from the amorphous phase to the crystalline phase.the amorphous film is larger than that for the crystallized film.The amorphous film shows a number of bottoms and peaks which may correspond to a larger number of electronic transitions as expected due to the more complicated band structure.
Figure 6 shows the transmittance () spectrum Figure 6(a) and the reflectance Figure 6(b) spectrum for some crystallized films as a function for thickness.It can be seen that the transmittance for most spectral range decreases with increasing thickness, where a larger quantity of light is scattered in the material.The reflectance is larger for the thinner film, this agrees with the result of author [10].There appears to be edges near the expected energy values of the band gaps, corresponding to the indirect (∼0.6 eV) and the direct (∼0.8 eV) electronic transitions.If light is incident on a germanium film the light is transmited into the film and begins to interact with the electronic structure of the germanium.Hence, electronic transitions occur from the valence region to the conducting region, which cause absorption in the near infrared.In particular, there are two types of transitions: indirect (≈0.6 eV) and direct (≈0.8 eV) and we will verify their existence in the absorption spectrum of the obtained films.Absorption can be determined experimentally in semiconductors starting from Lambert's law, equation, which takes into account reflection effects [14]: where  is the thickness of the film and   and   the intensities of the irradiated and the transmitted light, respectively. is the absorption coefficient which is given by the following equation: Given values for , , and , we can determine the absorption coefficient of the amorphous and the crystallized films.Figure 7(a), shows the absorption coefficient for crystalline and amorphous germanium films, where indirect and direct absorption effects are visible.Figure 7(b) shows the variation of the absorption spectrum of crystallized germanium films as a function for thickness.For the description of the dependence of the absorption behavior of amorphous and likewise crystallized materials on the energy of the photon, theoretical models were invented, most important of which are the models of Taue and Davis-Mott [14,15]: where  is a material specific constant.To a certain degree, this can be understood as an experimental relation, which can be used to determine a good agreement with the direct or indirect transition energy  opt .The power  takes several values depending on the nature of the optical transition [15].For direct allowed transitions,  = 1/2, for the direct forbidden transitions,  = 3/2, while  = 2 and  = 3 correspond to indirect allowed and forbidden transitions.The curves of the absorption coefficient (Figure 7) are showed that the different regions of absorption related to direct and indirect electron transitions.
For the calculation of the size of the corresponding energy gaps we divided the absorption spectrum of the germanium into regions corresponding to the two kinds of transitions mentioned above and calculated the band gap from the relation: for indirect transitions and from the relation: for direct transitions.Using (4) we plotted (ℎ]) 1/2 as a function of the photon energy ℎ] for the crystallized and amorphous films as shown in Figure 8(a) and determined  gi from the intersection of the curve with the ℎ] axis.In the same way, by plotting (ℎ]) 2 as function of the photon energy ℎ] and using (5), we determined  gd for the crystallized and amorphous films as shown in Figure 8(b).In Table 2, the values of the band gaps for the indirect and the direct transitions are given for the amorphous and the crystallized specimens.These results are in agreement with various authors [4][5][6][7].cubic structure of diamond type (FCC) with a latticespacing with an average value of ( ≈ 5.649 > ) under annealing of films in temperature higher than 450 ∘ C.

Conclusions
(2) The most suitable annealing temperature for appearance of a crystal structure was 525 ∘ C for a value of the film thickness around (500-1000 nm).
(3) The absorption coefficient exhibits absorption edges corresponding to direct and indirect electron transitions, for both the amorphous and crystallized germanium films.
(4) The average value of   for the indirect electronic transitions was 0.62 eV while the direct electronic transitions is 0.85 eV.

Figure 1 :Figure 2 :
Figure 1: Example for the XRD spectrum of germanium films deposited at room temperature.

Figures 3 (
Figures 3(a), 3(b), and 3(c) show an example for a comparison of XRD spectra of germanium films that annelid to various temperatures (500 ∘ C, 525 ∘ C, and 550 ∘ C).In this way, it was shown that the temperature adequate for the transformation from the amorphous to the crystalline phase was 525 ∘ C, for films of moderate thickness (500-1000 nm).Here it is noticed that the relative strength of the peaks is highest at 525 ∘ C, while the strength decreases at 550 ∘ C, and the peaks disappear completely at 600 ∘ C. The origin of this might be that the annealing procedure as explained in Figure2is suitable up to 550 ∘ C and above that the germanium film transforms itself into a soft substance, a part of which sticks to the surface of the glass which is placed above the film, and as a consequence there is not enough material in the remainder such that granules can build up in the film.The average values of the lattice parameters were calculated for the crystallized films from the diffractograms and it was found that germanium thin films has average lattice parameter ( = 4.69 Å) that agree well with other references[4,13].Comparison of the spectra of the specimens crystallized in the previously mentioned annealing procedure with reference spectra of crystalline germanium from a data bank gave evidence that our specimens were polycrystalline with a cubic face centered crystal structure as detailed in Table1.

Figure 3 :
Figure 3: Example of the XRD spectra for films as a function for annealing temperatures (a) 500 ∘ C, (b) 525 ∘ C, and (c) 550 ∘ C.

Figure 5 Figure 4 :Figure 5 :
Figure 5 shows transmittance () spectra Figure 5(a) and reflectance () spectra Figure 5(b) of amorphous films and a polycrystalline film which annealed at 525 ∘ C for duration of 30 min.From this figure we can noticed that the transmittance region for the crystallized film is larger than that for amorphous film, where the reflectance region of

Figure 6 :
Figure 6: (a) Transmittance spectra and (b) reflectance spectra for crystallized films with varying thickness.

Figure 7 :Figure 8 :
Figure 7: Absorption spectrum of (a) amorphous and crystallized germanium films and (b) variation of the absorption spectrum of crystallized germanium films with varying thickness.

Table 1 :
Comparison of the specifications of the investigated Germanium films with the specifications of the previous Germanium films (data bank).

Table 2 :
Average values of direct and indirect band gaps for the amorphous and crystallized films.