Isotopes are variations of an element that have the same number of protons but different numbers of neutrons. For example, carbon has three naturally occurring isotopes: carbon-12, carbon-13, and carbon-14. These isotopes all have six protons, but they differ in the number of neutrons they have: carbon-12 has six neutrons, carbon-13 has seven neutrons, and carbon-14 has eight neutrons.

Isotopes of the same element have the same chemical properties, but they can have different physical properties. For example, carbon-12 and carbon-13 are both stable isotopes, while carbon-14 is a radioactive isotope. This means that carbon-14 decays into other elements over time.

Isotopes are important in a variety of fields, including chemistry, physics, and geology. They are used in a variety of applications, including dating objects, tracing the movement of elements in the environment, and developing nuclear power.

Here are some additional details about isotopes:

* The number of protons in an atom determines what element it is.

* The number of neutrons in an atom determines the isotope of that element.

* Isotopes of the same element have the same number of electrons.

* Isotopes of the same element have the same chemical properties.

* Isotopes of the same element can have different physical properties.

* Isotopes are used in a variety of fields, including chemistry, physics, and geology.