An isotope is a variant of a chemical element that differs in the number of neutrons in its nucleus. Elements are defined by the number of protons in their atomic nucleus, which determines their chemical properties and atomic number. Isotopes of an element have the same number of protons but different numbers of neutrons.

Here are some key points about isotopes:

1. Atomic Number: The atomic number of an element is equal to the number of protons in its nucleus. This number uniquely identifies the element. For example, all carbon atoms have six protons, so the atomic number of carbon is 6.

2. Neutrons: Neutrons are neutral particles found in the nucleus of an atom alongside protons. Isotopes of the same element have the same number of protons but different numbers of neutrons. For example, carbon-12 (12C) has six neutrons, while carbon-14 (14C) has eight neutrons.

3. Mass Number: The mass number of an isotope is the sum of its protons and neutrons. It is denoted by the symbol “A.” For example, carbon-12 has a mass number of 12 (6 protons + 6 neutrons), and carbon-14 has a mass number of 14 (6 protons + 8 neutrons).

4. Stable and Unstable Isotopes: Some isotopes are stable, meaning they do not undergo radioactive decay over time. Examples include carbon-12 and carbon-13. Other isotopes are unstable or radioactive, meaning they undergo spontaneous decay, emitting particles or radiation until they reach a stable configuration. An example is carbon-14, which decays into nitrogen-14.

5. Radioactive Decay: Radioactive isotopes decay at a constant rate, characterized by their half-life—the time it takes for half of the radioactive nuclei in a sample to decay. Different isotopes have different half-lives, ranging from fractions of a second to billions of years.

6. Applications: Isotopes have various applications in science, medicine, industry, and environmental studies. For example, radioactive isotopes are used in medical imaging, carbon dating, and tracing the movement of substances in biological and environmental systems. Stable isotopes are used in isotopic labeling, environmental monitoring, and geological dating.

7. Isotopic Abundance: Isotopes of an element occur naturally in different proportions. The isotopic abundance of an element refers to the relative abundance of its isotopes in a given sample. Isotopic abundance data are important for various scientific and analytical purposes.

Overall, isotopes play a crucial role in understanding the behavior of elements, tracing processes in nature, and solving practical problems in diverse fields of science and technology.