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Isotopes are different forms of an element that have the same number of protons (same atomic number) but different numbers of neutrons (resulting in different atomic weights). In other words, isotopes of an element have the same number of electrons and protons, which determines the element's chemical properties, but they differ in the number of neutrons.

For example, carbon has three naturally occurring isotopes: carbon-12 (with 6 neutrons), carbon-13 (with 7 neutrons), and carbon-14 (with 8 neutrons). These isotopes of carbon have the same number of protons (6) and electrons, giving them the same chemical behavior. However, they have different atomic weights due to the varying number of neutrons.

To determine which isotope you are studying, you need information about its atomic weight or the number of neutrons, protons, and electrons. The atomic weight of an element is typically listed on the periodic table, and it represents the weighted average of the masses of its naturally occurring isotopes. The atomic weight takes into account the relative abundance of each isotope in nature.

Experimental techniques such as mass spectrometry or spectroscopy can be used to determine the isotopic composition of a sample. Mass spectrometry measures the mass-to-charge ratio of ions, allowing scientists to determine the mass of an atom or molecule. Spectroscopy involves studying the interaction of light with matter, which provides information about the energy levels and transitions in atoms or molecules. By analyzing the patterns and frequencies of spectral lines, the isotopic composition can be determined.

Additionally, radioactive isotopes have characteristic decay properties, which can be used to identify and study them. Radioactive decay processes have specific half-lives and emit certain types of radiation, allowing scientists to identify and track isotopes that undergo radioactive decay.

In summary, the difference between isotopes lies in the number of neutrons in the nucleus of an atom. Determining which isotope you are studying typically requires knowledge of the atomic weight or the number of neutrons, protons, and electrons. Experimental techniques such as mass spectrometry, spectroscopy, and knowledge of radioactive decay properties can help in identifying and studying specific isotopes.

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