The Formula
In the following formulae, let A be the total number of nucleons, Z the number of protons, and N the number of neutrons.
The mass of an atomic nucleus is given by
where and are the rest mass of a proton and a neutron, respectively, and is the binding energy of the nucleus. The semi-empirical mass formula states that the binding energy will take the following form:
Each of the terms in this formula has a theoretical basis, as will be explained below.
Read more about this topic: Semi-empirical Mass Formula
Famous quotes containing the word formula:
“Its hard enough to adjust [to the lack of control] in the beginning, says a corporate vice president and single mother. But then you realize that everything keeps changing, so you never regain control. I was just learning to take care of the belly-button stump, when it fell off. I had just learned to make formula really efficiently, when Sarah stopped using it.”
—Anne C. Weisberg (20th century)
“Given for one instant an intelligence which could comprehend all the forces by which nature is animated and the respective positions of the beings which compose it, if moreover this intelligence were vast enough to submit these data to analysis, it would embrace in the same formula both the movements of the largest bodies in the universe and those of the lightest atom; to it nothing would be uncertain, and the future as the past would be present to its eyes.”
—Pierre Simon De Laplace (17491827)