The material porosity was 63% and was verified by using the well-known three-weight measurement method. The average pore diameter was 6 nm (mesoporous material). The steady-state direct current (dc) method, described in detail in [18] and [21], was used to determine porous Si thermal conductivity. This method is based on the measurement of the temperature difference across a Pt resistor lying on the porous Si layer in response to an applied
heating power. A similar resistor on bulk crystalline Si served as a temperature reference. Figure 1 shows schematically the locally formed porous Si layer with the Pt resistor on top, while the second resistor on bulk Si is also depicted. Scanning electron microscopy buy Volasertib (SEM) images of Selleck CBL-0137 the specific porous Si material are also depicted in the same figure. The SEM image in the inset was obtained after a slight plasma etching of the porous Si surface in order to better reveal the porous Si structure. Figure 1 Schematic representation of the test structure.
The figure shows a schematic representation of the locally formed porous Si layer on the p-type wafer and SEM images of the porous Si surface. The SEM image in the inset of the principal one was obtained after a slight plasma etching of the porous Si surface in order to better reveal the porous structure. Two resistors, one on porous Si and one on bulk Si, are also depicted in the schematic of the test structure. Results and discussion For the extraction of the substrate thermal conductivity, a combination of experimental results and finite selleck kinase inhibitor element method (FEM) analysis was
used. The obtained results in the temperature range 5 to 20 K are depicted by full black circles in Figure 2 and in the inset of this figure. Plateau-like temperature dependence at a mean value of approximately 0.04 W/m.K was obtained. These results are the first in the literature in the 5 to 20 K temperature range. For the sake of completeness, our previous results for temperatures between 20 and 350 K are also presented in the same Amino acid figure by open rectangles. A monotonic increase of the thermal conductivity as a function of temperature is obtained for temperatures above 20 K and up to 350 K, without any maximum as that obtained, in the case of bulk crystalline Si. Figure 2 Temperature dependence of porous Si thermal conductivity. The graph shows experimental results of thermal conductivity of porous Si for temperatures between 5 and 20 K (present results, full points in the main figure and in the inset) and for temperatures in the range 20 to 350 K (open rectangles; previous results by the authors [18]). The plateau-like behavior for the 5 to 20 K temperature range is illustrated, with a mean value of 0.04 W/m.K.