Ma Y, Gustavsson J S, Haglund A, Gustavsson M, Gustafsson S E
Hot Disk AB, Chalmers Science Park, SE-41288 Gothenburg, Sweden.
Photonics Laboratory, Department of Microtechnology and Nanoscience, Chalmers University of Technology, SE-41296, Gothenburg, Sweden.
Rev Sci Instrum. 2014 Apr;85(4):044903. doi: 10.1063/1.4871589.
A new method based on the adaptation of the Pulse Transient Hot Strip technique to slab sample geometry has been developed for studying thermal conductivity and thermal diffusivity of anisotropic thin film materials (<50 μm) with thermal conductivity in the 0.01-100 W/mK range, deposited on thin substrates (i.e., wafers). Strength of this technique is that it provides a well-controlled thermal probing depth, making it possible to probe a predetermined depth of the sample layer and thereby avoiding the influence from material(s) deeper down in the sample. To verify the technique a series of measurements were conducted on a y-cut single crystal quartz wafer. A Hot Strip sensor (32-μm wide, 3.2-mm long) was deposited along two orthogonal crystallographic (x- and z-) directions and two independent pulse transients were recorded. Thereafter, the data was fitted to our theoretical model, and the anisotropic thermal transport properties were determined. Using a thermal probing depth of only 30 μm, we obtained a thermal conductivity along the perpendicular (parallel) direction to the z-, i.e., optic axis of 6.48 (11.4) W/mK, and a thermal diffusivity of 3.62 (6.52) mm(2)/s. This yields a volumetric specific heat of 1.79 MJ/mK. These values agree well with tabulated data on bulk crystalline quartz supporting the accuracy of the technique, and the obtained standard deviation of less than 2.7% demonstrates the precision of this new measurement technique.
一种基于将脉冲瞬态热条技术应用于平板样品几何形状的新方法已被开发出来,用于研究沉积在薄基板(即晶圆)上的各向异性薄膜材料(<50μm)的热导率和热扩散率,这些材料的热导率在0.01-100W/mK范围内。该技术的优势在于它能提供良好控制的热探测深度,从而有可能探测样品层的预定深度,进而避免样品中更深层材料的影响。为了验证该技术,在一个y切割的单晶石英晶圆上进行了一系列测量。一个热条传感器(宽32μm,长3.2mm)沿着两个正交的晶体学(x和z)方向沉积,并记录了两个独立的脉冲瞬变。此后,将数据拟合到我们的理论模型中,并确定了各向异性的热传输特性。使用仅30μm的热探测深度,我们获得了沿垂直(平行)于z轴(即光轴)方向的热导率为6.48(11.4)W/mK,热扩散率为3.62(6.52)mm²/s。由此得出的体积比热容为1.79MJ/mK。这些值与块状晶体石英的表格数据非常吻合,支持了该技术的准确性,并且获得的小于2.7%的标准偏差证明了这种新测量技术的精度。