Abstract
Here we show that we are able to consider a large value for the gravitational constant, G, at the vicinity of matter (r<1Å). Today physics and chemistry extremely need to this choice. By considering a large value for G, at the vicinity of matter, the stability of atom and atomic and molecular bonds can be explained by a different method. In this article, we prove that the value of vacuum permittivity, at the vicinity of a charged particle (r<1Å), is larger than its present value. Moreover, we obtain a new equation (not a new value) for a very important constant, namely the fine-structure constant, with the presence of the gravitational constant, G.