Measurement of Inter-materials forces by Atomic Force Microscopy (AFM) .

两种固体之间的粘接接触在摩擦学和连接技术领域具有重要意义。这对原子力显微镜等表面力仪器的设计也很重要。在本研究中，我们提出了考虑原子力显微镜（AMF）悬臂梁等测量系统刚度的修正MYD理论。总能量设为e_total =E_elastic+E_interface+E_surface+ e_刚度。其中$E_{\rm elastic} $为接触球（销子）的弹性能，$E_{\rm interface} $为接触区域内从表面到界面的能量变化项，E_surface为接触区域外表面之间的势能，e_刚度为测量系统刚度的贡献。在刚度无穷大的极限上，我们的方法符合原理论；在曲面间相互作用可以忽略的极限上，我们的方法符合作者先前的理论。在刚度无穷大、曲面间相互作用可以忽略的极限情况下，该方法符合JKR理论。本研究将原子力显微镜引入具有离子支撑系统的超高真空室。离子溅射后，测量了材料间的作用力。用上述理论对结果进行了讨论。除了材料间的电子交互作用外，测量系统的表面粗糙度和刚度也会影响测量结果。为了从材料科学的角度更好地理解粘附性，更明确的条件是必不可少的。

The adhesional contact between two solids is significant in the fields of tribology and the joining technology. It is also important for the design of surface force apparatuses such as atomic force microscopy (AMF) .In the present study, we propose the modified MYD theory taking account of the stiffness of the measurement system such as the cantilever of atomic force microscopy (AMF) .The total energy is assumed to beE_total=E_elastic+E_interface+E_surface+E_stiffness.where $E_{\rm elastic} $ is the elastic energy of contacting sphere (pin) , $E_{\rm interface} $ is the term for the energy change from surface to interface within the contact region, E_surface is the potential energy between surfaces outside of the contact region and E_stiffness is the contribution by the stiffness of the measurement system.Our approach conforms to the original one in the limit when the stiffness becomes infinite and conforms to the authors prior theory in the limit when the interaction between surfaces are negligible. Furthermore, the present approach conforms to the JKR theory in the limit when the stiffness becomes infinite and the interaction between surfaces are negligible.In the present study, we introduce the AFM to ultra high vacuum chamber which has ion supttering system. After the ion sputtering, the intermaterial forces are measured. The results are discussed with above thory. Not only intermaterial electronic interation, but also the surface roughness and the stiffness of the measurement system affact on the results. In order to understand the adhesion more in terms of material science, the more well defined condition is essential.