Luhman D R, Hallock R B
Laboratory of Low Temperature Physics, Department of Physics, University of Massachusetts, Amherst, MA 01003, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Nov;70(5 Pt 1):051606. doi: 10.1103/PhysRevE.70.051606. Epub 2004 Nov 19.
Thermal deposition of CaF2 onto a glass substrate creates a nanoscale rough surface. A series of samples with differing nominal CaF2 film thicknesses have been fabricated, and the topography has been investigated using atomic force microscopy. Measured values for the statistical characterization of the samples are presented including the exponents describing the scaling behavior of the surfaces. We find that the roughness exponent alpha=0.88+/-0.03 , the growth exponent beta=0.75+/-0.03 , and the dynamical exponent z=alpha/beta=1.17+/-0.06 . We also measure the multifractal spectra and nearest neighbor height difference probability distribution. The results are consistent with noise dominated by a power-law distribution with exponent mu+1 approximately equal to 4.6. Profilometer measurements were used to determine the porosity phi of the deposited films, which we find to be constant for all film thicknesses with phi approximately 0.46 .
在玻璃基板上热沉积CaF₂会形成纳米级粗糙表面。已制备了一系列具有不同标称CaF₂膜厚度的样品,并使用原子力显微镜对其形貌进行了研究。给出了样品统计表征的测量值,包括描述表面标度行为的指数。我们发现粗糙度指数α = 0.88±0.03,生长指数β = 0.75±0.03,动力学指数z = α/β = 1.17±0.06。我们还测量了多重分形谱和最近邻高度差概率分布。结果与指数μ + 1约等于4.6的幂律分布主导的噪声一致。使用轮廓仪测量来确定沉积膜的孔隙率φ,我们发现所有膜厚度的孔隙率φ均恒定,约为0.46。