Abstract
A new sintering equation is derived on the basis that the neck growth during sintering is caused by the transfer of atoms on the neck surface of material unlike a conventional idea which is the transfer of the inner part of material.
The atomic flow on the surface is expressed as J=NC (f1-f2), where J is the flow of atoms in a unit area and a unit time in the surface, N is a number of atoms per unit surface area, C is the concentrationof the vacancy in the surface, fl is the jumping frequency from the surface to the space, and f2 is the jumping frequency from the surface to the bulk. From the above equation, it is clear that the fifth power of the neck radius x is proportional to the sintering time t in the equation of the neck growth which is composed of the physical constants of solid surface, and it can be estimated that the neck growth changes even in sintering in various atmospheric gases.
The new equation substituting the physical constants of the material explains well the experimental data after Kuczynski numerically.
