What Is the Change in Atomic Number in Beta Decay?

Atoms, the fundamental building blocks of all matter, are generally stable, but some possess an unstable configuration within their core. These unstable atoms seek a more stable state by undergoing radioactive decay. During this transformation, they release energy and particles from their nucleus, leading to changes in their composition.

Atomic Fundamentals

At the core of every atom lies the nucleus, a dense region containing positively charged particles called protons and neutral particles known as neutrons. Orbiting this nucleus are negatively charged electrons. The identity of a chemical element is uniquely determined by its atomic number, symbolized by ‘Z’, which represents the precise count of protons in its nucleus. For instance, an atom with six protons is carbon, while one with 92 protons is uranium.

The mass number, denoted by ‘A’, provides the total count of both protons and neutrons within an atom’s nucleus. This number reflects the atom’s approximate mass. While the atomic number defines the element, the mass number can vary among atoms of the same element, leading to different isotopes.

Defining Beta Particles

A beta particle is a high-energy, high-speed electron or positron emitted directly from an atomic nucleus during radioactive decay. There are two main forms: a negatively charged electron, referred to as a beta-minus (β⁻) particle, and its antimatter counterpart, a positively charged positron, known as a beta-plus (β⁺) particle. These particles originate from transformations occurring within the nucleus itself, distinct from the electrons that orbit the nucleus in electron shells.

Beta particles possess very small mass and can be ejected at speeds approaching that of light. Their emission is a fundamental aspect of beta decay. Beta particles are much lighter than alpha particles and have different penetrating powers.

The Process of Beta Decay

Beta decay is a type of radioactive decay where an atomic nucleus emits a beta particle, leading to a transformation within the nucleus. This process involves the conversion of a proton into a neutron or vice versa, directly impacting the atomic number of the element. Neither the beta particle nor its associated neutrino or antineutrino exist within the nucleus before the decay; instead, they are created during the decay event itself.

In beta-minus (β⁻) decay, a neutron within an unstable nucleus transforms into a proton, increasing the number of protons by one. To conserve charge and other fundamental properties, this transformation is accompanied by the emission of an electron (the beta-minus particle) and an antineutrino. For example, carbon-14 (6 protons, 8 neutrons) undergoes beta-minus decay to become nitrogen-14 (7 protons, 7 neutrons), while its mass number (14) remains unchanged.

Conversely, beta-plus (β⁺) decay occurs when a proton in an unstable nucleus converts into a neutron. This process decreases the number of protons by one. Along with the neutron, a positron (the beta-plus particle) and a neutrino are emitted to maintain conservation laws. For instance, potassium-40 can undergo beta-plus decay, transforming into argon-40. In both types of beta decay, the mass number (A) of the atom remains constant because the total number of nucleons does not change.

Elemental Transformation

The change in the number of protons during beta decay has a significant consequence: it leads to the formation of a new element. Because the atomic number (Z) uniquely identifies an element, any alteration to this number means the original atom has transmuted into a different chemical species. This fundamental change is a hallmark of radioactive decay, distinguishing it from chemical reactions that only rearrange atoms.

Beta decay is a mechanism of elemental transmutation, where an atom of one element becomes an atom of another. For example, the beta-minus decay of carbon-14 yields nitrogen-14, a different element with distinct chemical properties.