# The Effect of Thickness of Aluminium Films on Optical Reflectance

Authors: Robert Lugolole; Sam Kinyera Obwoya
Journal: Journal of Ceramics
 (2015)

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## Abstract

In Uganda and Africa at large, up to 90% of the total energy used for food preparation and water pasteurization is from fossil fuels particularly firewood and kerosene which pollute the environment, yet there is abundant solar energy throughout the year, which could also be used. Uganda is abundantly rich in clay minerals such as ball clay, kaolin, feldspar, and quartz from which ceramic substrates were developed. Aluminium films of different thicknesses were deposited on different substrates in the diffusion pump microprocessor vacuum coater (Edwards AUTO 306). The optical reflectance of the aluminium films was obtained using a spectrophotometer (SolidSpec-3700/DUV-UV-VIS-NIR) at various wave lengths. The analysis of the results of the study revealed that the optical reflectance of the aluminium films was above 50% and increased with increasing film thickness and wavelength. Thus, this method can be used to produce reflector systems in the technology of solar cooking and other appliances which use solar energy.


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## Body

## 1. Introduction

The need for reflectance of light energy and heat energy is continually increasing due to the global rapid growing population, industrial development, and domestic needs. The reflectance of solar energy can reduce use of nonrenewable energy sources such as fossil fuels, petroleum fuels, and fissionable minerals. According to Intergovernmental Panel on Climate Change Plenary xxxvii [1], such energy sources lead to the emission of greenhouse gases like water vapour, carbon dioxide, methane, nitrous oxide, ozone, particulate matter, nitrogen oxide, sulphur dioxide, and arsenic and fluorinated compounds, which have increased in the atmosphere since the start of the industrial era in 1750 leading to atmospheric air pollution. Due to prolonged emission of greenhouse gases, greenhouse effect has brought about thinning of the ozone layer in the stratosphere. The global average temperature has increased by 0.6°C since the mid-20th century due to anthropogenic activity [2–4]. Reflectance of solar energy is used in solar thermal devices such as solar cookers, for cooking, water heating, space heating, space cooling, and heat generation process. Solar cookers are easy to build, are smoke free, nonpollutant [5] and can conserve the environment by using heat-reflecting mirrors [6]. The mean daily illumination intensity of the sun in the equatorial zone is in the range of 5–7 kWh/m2 and has more than 275 sunny days in the year. This can make solar cooker use possible in Uganda because it is in the equatorial zone. The use of solar cookers will save women and children walking long distances looking for wood and significantly reduce the amount of time women spent tending open fires each day for other developmental works [7]. Wood and charcoal supply over 90% of Uganda’s cooking energy requirements; thus, the use of solar cookers will also reduce deforestation, which currently is at an alarming rate. This paper therefore investigated the effectiveness of solar cookers made by depositing thin aluminium films on ceramic substrates for domestic purposes.


## 2. Experimental Procedures

### 2.1. Material Processing

Aluminium films were deposited on to ceramic substrates that were developed from predetermined minerals from Uganda. The minerals that were used include ball clay, kaolin, quartz, and feldspar. Ball clay was obtained from Ntawo deposit in Mukono district. The site has clay of finite particle sizes that form readily mouldable sticky mass when mixed with water [8]. It becomes hard and brittle, retains its shape when heated [9], and is no longer susceptible to the action of water. Kaolin and feldspar were collected from Mutaka deposit in Bushenyi district because it has high content of alumina while quartz was collected from Dimu deposit in Masaka district because the site has relatively pure fine quartz particle sizes [10]. The mineral particle sizes of 32 μm for ball clay, 45 μm for kaolin, 53 μm for feldspar, and finally 32 μm for quartz were chosen to minimise porosity and increase densification of the samples prepared. This is because small particle sizes increase particle content per unit volume which decreases the average interparticle distance of the clay matrix resulting in close packing of particles of the ceramic [11]. In the study, the thicknesses of aluminium films that were deposited on the ceramic substrates and the wave lengths of the radiation were the independent variables, while the dependent quantity was the optical reflectance of the aluminium films.The ball clay slip was sieved mechanically and carefully through 80μm, 53 μm, and 32 μm sieves in order to get the required fine clay mineral size that could form smooth hard ceramic bodies. The slurry finally obtained after sieving was poured on the plaster of Paris mould where excess water was removed, thus, forming a semidry cast. The semidry cast was again left to continue drying in air at room temperature for seven days [12] to get rid of some of the remaining water in the cast. A drying oven was later used to completely dry the clay samples at a temperature of 105°C for five hours in order to be certain of driving away all the water in the pores of the clay mass. The required dry body was removed from the oven after cooling. It was crushed and then ground in a ball mill to obtain fine powders, by Kingery et al. [13], which were pressed into rectangular samples and then fired to yield mechanically strong ceramic bases.Kaolin, feldspar, and quartz were dry milled for three days in a ball mill to reduce their particle sizes to ease sieving. The fine powder of kaolin was sieved mechanically through standard sieves of particle sizes 150μm, 80 μm, and 45 μm, while that of feldspar was similarly sieved through 150 μm, 80 μm, and 53 μm sieve meshes, and finally that for quartz was sieved through the 150 μm, 80 μm, 53 μm, and 32 μm sieve meshes.The 32μm, 45 μm, 53 μm, and 32 μm of the fine powders were weighed separately in the proportions of 30% ball clay, 25% kaolin, 30% feldspar, and 15% quartz, respectively, and then mixed thoroughly to form a blended mixture. Each ceramic substrate was made from a mass of 2.03 × 10−2 kg drawn from the mixture formed. In addition to the ball clay, bentonite organic binder amounting to 3% of 2.03 × 10−2 kg mass was added to each sample as an auxiliary material to form a colloidal mixture, in order to increase bonding of the particles. Each colloidal mixture was thoroughly mixed using a clean automated mortar for fifteen minutes to obtain uniform particle distribution, which greatly improves the forming process of ceramic materials [13]. The colloidal samples were dried under the sun for seven days and then crushed into finer powder using a roller on a clean flat metallic surface. Each sample, as shown in Figure 2, was slowly compacted in a die mould as shown in Figure 1, at a pressure of 152 MPa by use of a hydraulic press (PW-40). A total of twenty four rectangular slides of length 7.70 × 10−2 m, width 2.87 × 10−2 m, and thickness 5.34 × 10−3 m were made. The green slides were carefully removed from the mould and air-dried for four days to drive out some remaining water and to become hard before firing.Figure 1
Compaction mould and die.Figure 2
Green body.The dry samples were fired in an electrical furnace at a rate of 6°C per minute under controlled temperatures and varying pressures. The furnace temperature was held in stages, at a temperature of 110°C for two hours to drive out the ordinary water and at 450°C to get rid of the hydroxyl ions. According to Ryan [14], some crystalline changes take place at the α-β quartz inversion due to quartz expansion, so the rate of temperature rise was slow near the inversion temperature of 573°C to avoid cracking of the body. The temperature was then raised to 1250°C and then held there for two hours for the body to mature. Finally, the samples were air-cooled in the furnace and then removed carefully in order to avoid scratches before aluminium was deposited on them as shown in Figure 3. The slides which got out of the kiln were of length 6.92 × 10−2 m, width 2.54 × 10−2 m, thickness 4.19 × 10−3 m, and mass 1.627 × 10−2 kg.Figure 3
Ceramic substrate after firing.Aluminium was used to form the thin film reflecting surfaces on ceramic substrates to concentrate light and heat because it is ductile, has a low density of 2.70 × 103 kgm−3 with an acoustic impedance of 8.17 × 106 kgm−2s−1, and is resistant to oxidation. Similarly, aluminium was used because it is widely available primarily as ore bauxite that makes 8% of the earth’s solid surface [15]. It is cheap and nonmagnetic, does not easily ignite, is silvery white, and has a melting point of 660.4°C and evaporation temperature of 1390°C which make it a good reflector of both visible light and heat. Aluminium films used as metallization contacts have low specific resistivity, good thermal stability, high uniformity across the flat substrate, low particle contamination, and good adherence to substrate. These properties have led aluminium to be irreplaceable and its demand is on increase in many areas of today’s rapidly developing technology especially optical industries [16]. Highly specular aluminium films made in an ultrahigh vacuum deposition process have a solar reflectance of 92%. The problem is that the optical reflectance of aluminium deteriorates upon exposure to the outdoor environment at a time scale of less than one year. Aluminium foil which is currently used as the reflecting surface on solar cookers is quite easy to damage and is also known to darken when exposed to moisture. This creates wear of aluminium foil leading to the formation of small pinholes in it when it comes in contact with different metals or food that is highly salted or acidic [17].Vulnerable aluminium surface must, therefore, be protected by some kind of nonabsorbing coating from degradation. Several techniques have been applied; anodic oxidation coating [18], lacquering with PVF2, PVF, and PMMA [19, 20], vacuum deposited thin dielectric films [21], and sol-gel deposition of thin dielectric films. Aluminium surface can also be protected by vacuum deposition of the metal onto PMMA [22, 23] whereas, to obtain its long-term stability, a second surface mirror is deposited and thereafter sealed. Other surface treatments that can be designed in order to improve the surface properties of aluminium films such as wear resistance, corrosion resistance, and reflectivity are such as electrochemical brightening, electropolishing, annealing, and glazing [24]. Silicon dioxide overcoating protects aluminium and enables careful cleaning to take place [25]. This is fortunate because most materials, including aluminum, have better adherence if they are evaporated onto heated substrates [26].


### 2.2. Deposition of Aluminium Films

Aluminium adheres well to both silicon and silicon dioxide and can be easily vacuum deposited since it has a low boiling point and has high conductivity [27]. Aluminium films of specific different thicknesses were deposited on different ceramic slide substrates in the diffusion pump microprocessor vacuum coater (Edwards AUTO 306) as shown in Figure 4. The power was regulated at a value of 1.30 kW to heat, melt, and vaporize aluminium at a temperature of 660°C. The aluminium film thicknesses, T, deposited on the slides A, B, C, D, E, and F are shown in Table 1.Table 1
Thicknesses of aluminium films deposited on the slides.
Slides
A
B
C
D
E
F
T/nm
12.3
100
136
396
480
750Figure 4
Aluminium coated ceramic substrate.


### 2.3. Measurement of Optical Reflectance

The optical reflectance of specific thicknesses,T, of aluminium films deposited on the ceramic slides was measured and recorded over a range of wavelength, λ, 500 nm to 2500 nm using a SolidSpec-3700/DUV-UV-VIS-NIR. Four samples were considered to obtain the average optical reflectance as shown in Table 2. The data in Table 2 was inserted into Matlab software to generate graphs of optical reflectance against wave length as shown in Figure 5.Table 2
Optical reflectance of aluminium films deposited on ceramic surfaces.
λ/nm
500
700
900
1100
1300
1500
1700
1900
2100
2300
2500
T/nm
Percentage of optical reflectance of aluminium films
A
21.435
26.895
26.416
26.139
27.961
28.890
29.866
31.191
32.421
33.560
34.341
B
53.707
61.015
63.591
67.753
70.279
71.767
74.008
73.628
75.914
75.934
77.342
C
69.174
71.416
70.952
73.876
75.257
75.984
76.442
76.896
78.898
78.617
79.799
D
76.330
76.215
72.713
78.480
78.008
80.082
79.009
79.631
81.514
81.699
82.657
E
81.634
79.898
76.222
79.444
80.294
80.664
81.071
81.297
83.137
82.717
83.807
F
93.074
91.827
93.410
93.950
94.221
94.321
94.687
95.505
95.253
95.851
95.953Figure 5
Optical reflectance of samples A, B, C, D, E, and F.


## 2.1. Material Processing

Aluminium films were deposited on to ceramic substrates that were developed from predetermined minerals from Uganda. The minerals that were used include ball clay, kaolin, quartz, and feldspar. Ball clay was obtained from Ntawo deposit in Mukono district. The site has clay of finite particle sizes that form readily mouldable sticky mass when mixed with water [8]. It becomes hard and brittle, retains its shape when heated [9], and is no longer susceptible to the action of water. Kaolin and feldspar were collected from Mutaka deposit in Bushenyi district because it has high content of alumina while quartz was collected from Dimu deposit in Masaka district because the site has relatively pure fine quartz particle sizes [10]. The mineral particle sizes of 32 μm for ball clay, 45 μm for kaolin, 53 μm for feldspar, and finally 32 μm for quartz were chosen to minimise porosity and increase densification of the samples prepared. This is because small particle sizes increase particle content per unit volume which decreases the average interparticle distance of the clay matrix resulting in close packing of particles of the ceramic [11]. In the study, the thicknesses of aluminium films that were deposited on the ceramic substrates and the wave lengths of the radiation were the independent variables, while the dependent quantity was the optical reflectance of the aluminium films.The ball clay slip was sieved mechanically and carefully through 80μm, 53 μm, and 32 μm sieves in order to get the required fine clay mineral size that could form smooth hard ceramic bodies. The slurry finally obtained after sieving was poured on the plaster of Paris mould where excess water was removed, thus, forming a semidry cast. The semidry cast was again left to continue drying in air at room temperature for seven days [12] to get rid of some of the remaining water in the cast. A drying oven was later used to completely dry the clay samples at a temperature of 105°C for five hours in order to be certain of driving away all the water in the pores of the clay mass. The required dry body was removed from the oven after cooling. It was crushed and then ground in a ball mill to obtain fine powders, by Kingery et al. [13], which were pressed into rectangular samples and then fired to yield mechanically strong ceramic bases.Kaolin, feldspar, and quartz were dry milled for three days in a ball mill to reduce their particle sizes to ease sieving. The fine powder of kaolin was sieved mechanically through standard sieves of particle sizes 150μm, 80 μm, and 45 μm, while that of feldspar was similarly sieved through 150 μm, 80 μm, and 53 μm sieve meshes, and finally that for quartz was sieved through the 150 μm, 80 μm, 53 μm, and 32 μm sieve meshes.The 32μm, 45 μm, 53 μm, and 32 μm of the fine powders were weighed separately in the proportions of 30% ball clay, 25% kaolin, 30% feldspar, and 15% quartz, respectively, and then mixed thoroughly to form a blended mixture. Each ceramic substrate was made from a mass of 2.03 × 10−2 kg drawn from the mixture formed. In addition to the ball clay, bentonite organic binder amounting to 3% of 2.03 × 10−2 kg mass was added to each sample as an auxiliary material to form a colloidal mixture, in order to increase bonding of the particles. Each colloidal mixture was thoroughly mixed using a clean automated mortar for fifteen minutes to obtain uniform particle distribution, which greatly improves the forming process of ceramic materials [13]. The colloidal samples were dried under the sun for seven days and then crushed into finer powder using a roller on a clean flat metallic surface. Each sample, as shown in Figure 2, was slowly compacted in a die mould as shown in Figure 1, at a pressure of 152 MPa by use of a hydraulic press (PW-40). A total of twenty four rectangular slides of length 7.70 × 10−2 m, width 2.87 × 10−2 m, and thickness 5.34 × 10−3 m were made. The green slides were carefully removed from the mould and air-dried for four days to drive out some remaining water and to become hard before firing.Figure 1
Compaction mould and die.Figure 2
Green body.The dry samples were fired in an electrical furnace at a rate of 6°C per minute under controlled temperatures and varying pressures. The furnace temperature was held in stages, at a temperature of 110°C for two hours to drive out the ordinary water and at 450°C to get rid of the hydroxyl ions. According to Ryan [14], some crystalline changes take place at the α-β quartz inversion due to quartz expansion, so the rate of temperature rise was slow near the inversion temperature of 573°C to avoid cracking of the body. The temperature was then raised to 1250°C and then held there for two hours for the body to mature. Finally, the samples were air-cooled in the furnace and then removed carefully in order to avoid scratches before aluminium was deposited on them as shown in Figure 3. The slides which got out of the kiln were of length 6.92 × 10−2 m, width 2.54 × 10−2 m, thickness 4.19 × 10−3 m, and mass 1.627 × 10−2 kg.Figure 3
Ceramic substrate after firing.Aluminium was used to form the thin film reflecting surfaces on ceramic substrates to concentrate light and heat because it is ductile, has a low density of 2.70 × 103 kgm−3 with an acoustic impedance of 8.17 × 106 kgm−2s−1, and is resistant to oxidation. Similarly, aluminium was used because it is widely available primarily as ore bauxite that makes 8% of the earth’s solid surface [15]. It is cheap and nonmagnetic, does not easily ignite, is silvery white, and has a melting point of 660.4°C and evaporation temperature of 1390°C which make it a good reflector of both visible light and heat. Aluminium films used as metallization contacts have low specific resistivity, good thermal stability, high uniformity across the flat substrate, low particle contamination, and good adherence to substrate. These properties have led aluminium to be irreplaceable and its demand is on increase in many areas of today’s rapidly developing technology especially optical industries [16]. Highly specular aluminium films made in an ultrahigh vacuum deposition process have a solar reflectance of 92%. The problem is that the optical reflectance of aluminium deteriorates upon exposure to the outdoor environment at a time scale of less than one year. Aluminium foil which is currently used as the reflecting surface on solar cookers is quite easy to damage and is also known to darken when exposed to moisture. This creates wear of aluminium foil leading to the formation of small pinholes in it when it comes in contact with different metals or food that is highly salted or acidic [17].Vulnerable aluminium surface must, therefore, be protected by some kind of nonabsorbing coating from degradation. Several techniques have been applied; anodic oxidation coating [18], lacquering with PVF2, PVF, and PMMA [19, 20], vacuum deposited thin dielectric films [21], and sol-gel deposition of thin dielectric films. Aluminium surface can also be protected by vacuum deposition of the metal onto PMMA [22, 23] whereas, to obtain its long-term stability, a second surface mirror is deposited and thereafter sealed. Other surface treatments that can be designed in order to improve the surface properties of aluminium films such as wear resistance, corrosion resistance, and reflectivity are such as electrochemical brightening, electropolishing, annealing, and glazing [24]. Silicon dioxide overcoating protects aluminium and enables careful cleaning to take place [25]. This is fortunate because most materials, including aluminum, have better adherence if they are evaporated onto heated substrates [26].


## 2.2. Deposition of Aluminium Films

Aluminium adheres well to both silicon and silicon dioxide and can be easily vacuum deposited since it has a low boiling point and has high conductivity [27]. Aluminium films of specific different thicknesses were deposited on different ceramic slide substrates in the diffusion pump microprocessor vacuum coater (Edwards AUTO 306) as shown in Figure 4. The power was regulated at a value of 1.30 kW to heat, melt, and vaporize aluminium at a temperature of 660°C. The aluminium film thicknesses, T, deposited on the slides A, B, C, D, E, and F are shown in Table 1.Table 1
Thicknesses of aluminium films deposited on the slides.
Slides
A
B
C
D
E
F
T/nm
12.3
100
136
396
480
750Figure 4
Aluminium coated ceramic substrate.


## 2.3. Measurement of Optical Reflectance

The optical reflectance of specific thicknesses,T, of aluminium films deposited on the ceramic slides was measured and recorded over a range of wavelength, λ, 500 nm to 2500 nm using a SolidSpec-3700/DUV-UV-VIS-NIR. Four samples were considered to obtain the average optical reflectance as shown in Table 2. The data in Table 2 was inserted into Matlab software to generate graphs of optical reflectance against wave length as shown in Figure 5.Table 2
Optical reflectance of aluminium films deposited on ceramic surfaces.
λ/nm
500
700
900
1100
1300
1500
1700
1900
2100
2300
2500
T/nm
Percentage of optical reflectance of aluminium films
A
21.435
26.895
26.416
26.139
27.961
28.890
29.866
31.191
32.421
33.560
34.341
B
53.707
61.015
63.591
67.753
70.279
71.767
74.008
73.628
75.914
75.934
77.342
C
69.174
71.416
70.952
73.876
75.257
75.984
76.442
76.896
78.898
78.617
79.799
D
76.330
76.215
72.713
78.480
78.008
80.082
79.009
79.631
81.514
81.699
82.657
E
81.634
79.898
76.222
79.444
80.294
80.664
81.071
81.297
83.137
82.717
83.807
F
93.074
91.827
93.410
93.950
94.221
94.321
94.687
95.505
95.253
95.851
95.953Figure 5
Optical reflectance of samples A, B, C, D, E, and F.


## 3. Experimental Results

### 3.1. Optical Reflectance of Aluminium Films

The percentage of optical reflectance of aluminium films deposited on ceramic substrates at various wave lengths is shown in Table2.


## 3.1. Optical Reflectance of Aluminium Films

The percentage of optical reflectance of aluminium films deposited on ceramic substrates at various wave lengths is shown in Table2.


## 4. Discussion and Conclusions of Results

### 4.1. Discussion of Results

#### 4.1.1. Aluminium Films on Ceramic Bases

The various thicknesses of aluminium films deposited on the ceramic bases were 12.3 nm, 100 nm, 136 nm, 396 nm, 480 nm, and finally 750 nm. This range was chosen because when the films deposited were less than 5 nm, the reflectance was mainly due to the base after absorbing more of the energy. When the films built were above 1μm, their adhesion to the ceramic substrate could no longer balance the stress when deposited by evaporation. Such films led to the clouding effect which limited their use in the infrared range. The deposition of films on the substrates was at a pressure of 9 × 10−7 MB because aluminium films strongly adhere on the substrates when deposition is carried out at a pressure less than 10−7 of atmospheric pressure, to avoid oxidation, and is used to prepare thin films with controlled chemical composition [28]. The vacuum deposition process was selected for the deposition of thin films over other processes such as electrochemical deposition and flame spraying. This is because it gave balanced homogeneous films onto the ceramic bases particularly determined by the smoothness and cleaning level of the substrates, the deposition temperature of 660°C, and the chamber pressure of 6 × 10−7 MB. This prevented aluminium from being removed by acids or alkali solutions because it was chemically inert due to the aluminium modulus of elasticity of 7.1 × 1010 Pa, kaolin, which has alumina that was useful in reinforcing the films, and aluminium would balance the mechanical stress which is the principal factor for limiting the thickness of films when deposited by evaporation on substrates. It is the reason why aluminium films deposited on the fabricated ceramic bases had no effect even after five months of study. It is also because physical vapour deposition produces reflective enhancing oxide layers which avoid further oxidation and corrosion.


#### 4.1.2. Optical Reflectance

In this particular study, over 50% of the incident radiation falling onto the films deposited on the ceramics was reflected as compared to the total light absorbed and transmitted except for sample A. This so far is much better than aluminium foil which on its own reflects about 55% of visible light that even lowers to about 35% when creased and exposed to harsh atmospheric conditions [29]. The graphs of optical reflectance against wave length are shown in Figure 5. The best fit used for the graphs at a 95% level of confidence from a smoothing parameter was a smoothing spline function f(x) in contrast to Gaussian, interpolant, power, linear functions and so forth. The polynomial f(x) for each graph had a high R-square value between 0.9000 and 1.0000 to give a working standard square error (SSE) and root mean square error (RMSE) which produced smooth curves with goodness of fit due to reduced kinks. Some kinks arose because of change of the spectrophotometer detectors especially when the photomultiplier changed to indium gallium arsenide between 700 nm and 1000 nm and to lead selenide between 1500 nm and 1800 nm, respectively.The reflectance of aluminium generally increased with increase in thickness of the aluminium films and with increase in the radiation wave length as per Figure5. This is because aluminium exhibits free electron behaviour at various solar wavelengths over the entire solar wavelength interval [30], due to its small interband transitions. At a 95% level of confidence, the standard deviation obtained for the experimental study on samples A to F was lowest at 1.009 for sample D at a wave length of 2100 nm and highest at 8.885 for sample A at a wave length of 2100 nm which shows the consistency of the results of all samples.The reflectance of sample A at all wave lengths was the lowest below 35% because much of the light was transmitted by the film and absorbed by the base. The low reflectance of A was also attributed to the nonlinearity and nonsmoothness of the surface. Between 700 nm and 900 nm, the reflectance of all the samples decreased slightly apart from A and B. This is because aluminium maintains high reflectance over the entire solar wavelength interval with the smallest value around 0.82μm [31, 32]. The inconsistency in the reflectance for all samples below 600 nm wave length was because of the absence of the nitrogen pumping accessory which was not integrated in the spectrophotometer used during the study. Reflectance became stable between 1000 nm and 2500 nm for all samples due to increasing wavelength of the radiation into the infrared band. Maximum steady reflectance of above 90% was achieved by sample F which showed a markedly higher jump in reflectance than other samples for all wave lengths between 800 nm and 2500 nm due to minimal absorption of the radiation by the base because it had 750 nm aluminium film thickness. It is also an attribute of the radiation of high wave length being less penetrative than for the short wave length band. The 750 nm aluminium film thickness offers a smooth surface with reduced transmission and absorption of light by the aluminium film and its base. Any radiation lost in sample F was due to tolerable multiple internal reflections and absorption of light and heat by the film itself and the impurities therein contained such as iron, nickel, chromium, and manganese rather than the support base.


## 4.1. Discussion of Results

### 4.1.1. Aluminium Films on Ceramic Bases

The various thicknesses of aluminium films deposited on the ceramic bases were 12.3 nm, 100 nm, 136 nm, 396 nm, 480 nm, and finally 750 nm. This range was chosen because when the films deposited were less than 5 nm, the reflectance was mainly due to the base after absorbing more of the energy. When the films built were above 1μm, their adhesion to the ceramic substrate could no longer balance the stress when deposited by evaporation. Such films led to the clouding effect which limited their use in the infrared range. The deposition of films on the substrates was at a pressure of 9 × 10−7 MB because aluminium films strongly adhere on the substrates when deposition is carried out at a pressure less than 10−7 of atmospheric pressure, to avoid oxidation, and is used to prepare thin films with controlled chemical composition [28]. The vacuum deposition process was selected for the deposition of thin films over other processes such as electrochemical deposition and flame spraying. This is because it gave balanced homogeneous films onto the ceramic bases particularly determined by the smoothness and cleaning level of the substrates, the deposition temperature of 660°C, and the chamber pressure of 6 × 10−7 MB. This prevented aluminium from being removed by acids or alkali solutions because it was chemically inert due to the aluminium modulus of elasticity of 7.1 × 1010 Pa, kaolin, which has alumina that was useful in reinforcing the films, and aluminium would balance the mechanical stress which is the principal factor for limiting the thickness of films when deposited by evaporation on substrates. It is the reason why aluminium films deposited on the fabricated ceramic bases had no effect even after five months of study. It is also because physical vapour deposition produces reflective enhancing oxide layers which avoid further oxidation and corrosion.


### 4.1.2. Optical Reflectance

In this particular study, over 50% of the incident radiation falling onto the films deposited on the ceramics was reflected as compared to the total light absorbed and transmitted except for sample A. This so far is much better than aluminium foil which on its own reflects about 55% of visible light that even lowers to about 35% when creased and exposed to harsh atmospheric conditions [29]. The graphs of optical reflectance against wave length are shown in Figure 5. The best fit used for the graphs at a 95% level of confidence from a smoothing parameter was a smoothing spline function f(x) in contrast to Gaussian, interpolant, power, linear functions and so forth. The polynomial f(x) for each graph had a high R-square value between 0.9000 and 1.0000 to give a working standard square error (SSE) and root mean square error (RMSE) which produced smooth curves with goodness of fit due to reduced kinks. Some kinks arose because of change of the spectrophotometer detectors especially when the photomultiplier changed to indium gallium arsenide between 700 nm and 1000 nm and to lead selenide between 1500 nm and 1800 nm, respectively.The reflectance of aluminium generally increased with increase in thickness of the aluminium films and with increase in the radiation wave length as per Figure5. This is because aluminium exhibits free electron behaviour at various solar wavelengths over the entire solar wavelength interval [30], due to its small interband transitions. At a 95% level of confidence, the standard deviation obtained for the experimental study on samples A to F was lowest at 1.009 for sample D at a wave length of 2100 nm and highest at 8.885 for sample A at a wave length of 2100 nm which shows the consistency of the results of all samples.The reflectance of sample A at all wave lengths was the lowest below 35% because much of the light was transmitted by the film and absorbed by the base. The low reflectance of A was also attributed to the nonlinearity and nonsmoothness of the surface. Between 700 nm and 900 nm, the reflectance of all the samples decreased slightly apart from A and B. This is because aluminium maintains high reflectance over the entire solar wavelength interval with the smallest value around 0.82μm [31, 32]. The inconsistency in the reflectance for all samples below 600 nm wave length was because of the absence of the nitrogen pumping accessory which was not integrated in the spectrophotometer used during the study. Reflectance became stable between 1000 nm and 2500 nm for all samples due to increasing wavelength of the radiation into the infrared band. Maximum steady reflectance of above 90% was achieved by sample F which showed a markedly higher jump in reflectance than other samples for all wave lengths between 800 nm and 2500 nm due to minimal absorption of the radiation by the base because it had 750 nm aluminium film thickness. It is also an attribute of the radiation of high wave length being less penetrative than for the short wave length band. The 750 nm aluminium film thickness offers a smooth surface with reduced transmission and absorption of light by the aluminium film and its base. Any radiation lost in sample F was due to tolerable multiple internal reflections and absorption of light and heat by the film itself and the impurities therein contained such as iron, nickel, chromium, and manganese rather than the support base.


## 4.1.1. Aluminium Films on Ceramic Bases

The various thicknesses of aluminium films deposited on the ceramic bases were 12.3 nm, 100 nm, 136 nm, 396 nm, 480 nm, and finally 750 nm. This range was chosen because when the films deposited were less than 5 nm, the reflectance was mainly due to the base after absorbing more of the energy. When the films built were above 1μm, their adhesion to the ceramic substrate could no longer balance the stress when deposited by evaporation. Such films led to the clouding effect which limited their use in the infrared range. The deposition of films on the substrates was at a pressure of 9 × 10−7 MB because aluminium films strongly adhere on the substrates when deposition is carried out at a pressure less than 10−7 of atmospheric pressure, to avoid oxidation, and is used to prepare thin films with controlled chemical composition [28]. The vacuum deposition process was selected for the deposition of thin films over other processes such as electrochemical deposition and flame spraying. This is because it gave balanced homogeneous films onto the ceramic bases particularly determined by the smoothness and cleaning level of the substrates, the deposition temperature of 660°C, and the chamber pressure of 6 × 10−7 MB. This prevented aluminium from being removed by acids or alkali solutions because it was chemically inert due to the aluminium modulus of elasticity of 7.1 × 1010 Pa, kaolin, which has alumina that was useful in reinforcing the films, and aluminium would balance the mechanical stress which is the principal factor for limiting the thickness of films when deposited by evaporation on substrates. It is the reason why aluminium films deposited on the fabricated ceramic bases had no effect even after five months of study. It is also because physical vapour deposition produces reflective enhancing oxide layers which avoid further oxidation and corrosion.


## 4.1.2. Optical Reflectance

In this particular study, over 50% of the incident radiation falling onto the films deposited on the ceramics was reflected as compared to the total light absorbed and transmitted except for sample A. This so far is much better than aluminium foil which on its own reflects about 55% of visible light that even lowers to about 35% when creased and exposed to harsh atmospheric conditions [29]. The graphs of optical reflectance against wave length are shown in Figure 5. The best fit used for the graphs at a 95% level of confidence from a smoothing parameter was a smoothing spline function f(x) in contrast to Gaussian, interpolant, power, linear functions and so forth. The polynomial f(x) for each graph had a high R-square value between 0.9000 and 1.0000 to give a working standard square error (SSE) and root mean square error (RMSE) which produced smooth curves with goodness of fit due to reduced kinks. Some kinks arose because of change of the spectrophotometer detectors especially when the photomultiplier changed to indium gallium arsenide between 700 nm and 1000 nm and to lead selenide between 1500 nm and 1800 nm, respectively.The reflectance of aluminium generally increased with increase in thickness of the aluminium films and with increase in the radiation wave length as per Figure5. This is because aluminium exhibits free electron behaviour at various solar wavelengths over the entire solar wavelength interval [30], due to its small interband transitions. At a 95% level of confidence, the standard deviation obtained for the experimental study on samples A to F was lowest at 1.009 for sample D at a wave length of 2100 nm and highest at 8.885 for sample A at a wave length of 2100 nm which shows the consistency of the results of all samples.The reflectance of sample A at all wave lengths was the lowest below 35% because much of the light was transmitted by the film and absorbed by the base. The low reflectance of A was also attributed to the nonlinearity and nonsmoothness of the surface. Between 700 nm and 900 nm, the reflectance of all the samples decreased slightly apart from A and B. This is because aluminium maintains high reflectance over the entire solar wavelength interval with the smallest value around 0.82μm [31, 32]. The inconsistency in the reflectance for all samples below 600 nm wave length was because of the absence of the nitrogen pumping accessory which was not integrated in the spectrophotometer used during the study. Reflectance became stable between 1000 nm and 2500 nm for all samples due to increasing wavelength of the radiation into the infrared band. Maximum steady reflectance of above 90% was achieved by sample F which showed a markedly higher jump in reflectance than other samples for all wave lengths between 800 nm and 2500 nm due to minimal absorption of the radiation by the base because it had 750 nm aluminium film thickness. It is also an attribute of the radiation of high wave length being less penetrative than for the short wave length band. The 750 nm aluminium film thickness offers a smooth surface with reduced transmission and absorption of light by the aluminium film and its base. Any radiation lost in sample F was due to tolerable multiple internal reflections and absorption of light and heat by the film itself and the impurities therein contained such as iron, nickel, chromium, and manganese rather than the support base.


## 5. Conclusions

The results of the study showed that aluminium films deposited on the ceramic bases in a vacuum coater have high optical reflectance. However, the various thicknesses of aluminium films directly affected the optical reflectance at different wavelengths. Thus, from the overall experimental analysis carried out, salient conclusions arising from this work are summarized as follows.(1)
The optical reflectance of aluminium increased with increase in film thickness.(2)
The optical reflectance of aluminium increased with increase in the radiation wavelength.(3)
Suitable solar cookers and other appliances using solar energy can be developed by vacuum deposition of aluminium films on the ceramic bases fabricated from ball clay, kaolin, quartz, and feldspar. This may alleviate the problem of lack of fuel for food preparation, pollution by fossil fuels, and emission of greenhouse gasses leading to global warming.



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*Source: 213635-2015-02-09.xml*