The platinum films were deposited using the RF magnetron sputtering method. The X-ray diffraction patterns of these films at different annealing temperatures are shown in figure 2. The peak at 400 belongs to cubic Platinyum (111). The XRD data show consistency with the ICDD Data Card No:87-0640. Among these annealed samples, it was found that the samples annealed at 800 degrees were oriented along (111) with the best crystal structure. Orientation occurs more easily in thinner film structures (< 100 nm). The orientation (111) about 1 µm thickness was also shown in this study. The (111) orientation of metal thin film structures is necessary to minimize the surface energy[15, 16].
Annealing temperature dependency of the change in Grain size and micro-strain values are shown in figures 3 (a) and (b). Pt thin films annealed at 200 0C have lower grain size values. Low grain size caused "high density of grain-boundary" and "the density of grain boundary". For this reason, the resistivity was high at 200 0C. With the increase of annealing temperature, grain size increases and micro strain values decrease.
Figure 4 shows the relationship between XRD peaks and micro strain. There is no strain in the ideal crystal structure, so the reflective planes show uniform d0 spacing. In the presence of a uniform tensile strain, the spacing of the reflective planes becomes greater than d0 and the diffraction line shifts to lower angles. This situation is clearly observed in XRD measurement. These changes helped the Pt film structure to become more stable. As a result, it contributed to make the resistivity value more stable. Non-uniform / uniform strain causes the grain to grow. This bending is effective in increasing the grain size[17].
The variation of the lattice parameters (a0) with the annealing temperature is shown in figure 5. The lattice parameter decreased with the annealing temperature. The nature of the residual stress of most annealed Pt films examined was found to be tensile. This situation has been demonstrated in many studies[18–20]. This situation is directly related to the substrate; because the substrate thermal expansion coefficient is 7.6 x 10− 8 cm/°C [21] and the platinum thermal expansion coefficient is 2.26 x 10− 5 cm/°C [19]. As a result of this great mismatch between the expansion coefficients of the platinum film and the substrate is responsible for the variation of the tensile stress and the lattice parameter [22].
2.1 Properties and Smart Mask Design
The smart mask design designed for the production of temperature sensors is shown in figure 6. The calculation of the resistances of metal thin films is directly related to the length and thickness of the thin film. The following relation can be used for the calculation of the resistance [23].
(1)
where R, ρ, L and A are resistor resistance, platinum resistivity, is the length and is the platinum layer thickness, respectively. The thickness of the platinum layer is very important in the production of temperature sensors. When a platinum layer is deposited on a 6-inch subsrate, the thickness of the platinum layer one produce will vary everywhere. The thickness in the middle part of the temperature sensors produced on the same substrate is thicker than the edge parts. This situation directly affects the resistance values of RTDs. The platinum thickness of these sensors in the edge is 1 and 1.05 µm in the middle part. The platinum layer thickness difference between these sensors is only 0.05 µm. The total resistance values resulting from this thickness difference will be discussed in the next sections.
The sheet resistance and resistivity variation depending on different annealing temperatures are shown in figure 7 (a) and (b). The samples were annealed under nitrogen gas for 150 minutes. After annealing, each sample was slowly cooled. Sheet resistances were measured at 23 degrees. Resistivity was calculated using sheet resistance and platinum film thickness from the equation 2.
Rs is the sheet resistance t is the thickness of the platinyum layer. As shown in figure 7 (b), as the annealing temperature increased, the resistivity decreased and became more stable between 600 and 800 degrees. The dramatic decrease in sheet resistance after the first annealing temperature is due to the correction of defects in the structure by annealing. The possible reason for the annealing temperature decrease of sheet resistance is due to grain size growth and vacancy coalescence. In addition, micro-strain effects should not be ignored.
There are 2 different resistance adjustments on this mask design and they are named S and K on the mask design as seen in Fig. 6. Temperature sensors should have a certain value according to their usage areas. The resistances of the most used temperature sensors are Pt100, Pt500 and Pt 1000. Due to the thickness of the platinum layer, all of the thousands of sensors produced have different resistances. In order to produce all sensors at the same resistance value, one can adjust the resistance value by making some cuts in the S and K parts.
S part
As seen in Fig. 8, some cuts change the resistance value. The path that the current follows is getting longer. Cutting perpendicular to the current flow in the resistor is known to increase the resistance rapidly to a value close to the target value. A cut parallel to the current flow slows the rate of resistance increase to reach the target resistance. In this section, one can apply thousands of different resistance corrections. Phillip Sandborn and Peter A. Sandborn have examined this issue in detail in their studies [5]. We could not examine this part because we could not make smooth and linear cuts in the S part.
K part
Figure 9 clearly shows that there are two paths that the current can follow. The paths followed by the current were shown in different colors. The red line represents the resistor 1 (R1) and the black line the represents (R2) and the path of the current is shown in the figure 9. Due to the parallel connection of R1 and R2, the equivalent resistance given by Rt [24].
(3)
It is well known that the equivalent resistance value of resistors connected in parallel is lower than each resistance of each resistor. The values of R1 and R2 are 8.47Ω and 2.97Ω respectively for a temperature sensor with a thickness of approximately 1.05 um. Uniformity is very critical for microelectronics. This is especially important for temperature sensors. We have previously stated that the total resistor resistance is directly related to the thickness of the platinum film. In the case of parallel connection R1and R2, its contribution to the total resistor resistance is 2.19 Ω. When a cut is made on the R2 resistor, the path is completely blocked, the total resistance value will increase to approximately 6.27 Ω. It should be noted that the contribution from connecting R1 and R2 in parallel is 2.19 Ω. There are 9 resistance adjustment points to adjust the resistance value. The theoretical calculation of the resistance change and the experimental results in case of cutting the 9 point, taking into account the thickness difference, are shown in Fig. 10. The real image of the temperature resistance detector under the optical microscope is also given in figure 11.
The linewidth of the temperature sensor is 10 µm. The total uncut length of the trimming points is 45150 µm. The total resistance of the sensor with a 1.05 µm meter thick platinum layer is 473 Ω. Therefore, the thickness is very important when fabrication an industrial scale. When the platinum thickness is 1 µm, the total resistance of the sensor is 497 Ω. So, The total resistance of the sensors with a thickness difference of 0.05 µm varies about 24 Ω. In the previous section, it was stated how important the uniformity on a 6-inch substrate is when depositing the platinum layer. For industrial applications, this is of critical importance. Thanks to this smart mask design, it can complete the resistance of each sensor about 500 Ω. But if the resistance of the produced sensors exceeds 500 Ω, It is not possible to reduce the resistance value. Since the platinum material is very expensive[25], it offers the opportunity to prevent production errors thanks to these trimming points.
When the trimming points of the fabricated sensors are cut, the total resistance change is given in Fig. 12. When temperature sensor is produced on a 6 inch substrate, the initial resistance of the sensors is between 4.73 Ω and 4.97 Ω. The desired resistance value in this study is 500 ohms. Therefore, the platinum layer thickness is about 1 µm. Crystallization level of the platinum layer, structural defects, voids may be found in the layer. While making resistance correction with trimming points, the resistance values may deviate slightly from the target resistance value. By using trimming points for the temperature sensors of two different thicknesses, the resistance values were adjusted to approximately 500 Ω. It is understood from figure 13 that the temperature resistance gradients of the two sensors are different from each other. One of the reasons for this is the small differences that occur when adjusting the initial resistor value. Another reason is that the TCR values are different.
The temperature dependent resistance and TCR values of two different thickness sensors are shown in Figure 13 (a) and (b). By increasing temperature, the change in resistance per temperature of the sensor with a platinum thickness of 1 micrometer increases more. There are two reasons. The first is the resistivity and the second is the temperature coefficient of resistance (TCR). The resistivity value was calculated from equation 2. Here, it is clearly seen that the RS value is a function of the thickness. Therefore, the temperature showed its effect on the resistance curve at high temperatures. Naturally, the Rs value is also responsible for the change in the TCR value. The temperature coefficient of resistance can be defined as the rate of change of resistance per degree change in the temperature from a substance’s original temperature. However, the TCR value is affected by many variables. Pattern quality, sputter condition, annealing conditions, resistivity can be given as examples of these variables. TCR values were found to be around 3.84x103 at 0 0C. This value is very close to the standard TCR value (3.85x103 ) [26] used for industrial applications [27]. As a result, the variation of the temperature sensor with temperature for both sensors is quite linear. Therefore, both sensors can be used for industrial applications.