Determine whether or not each nuclide is likely to be stable. State your reasons. d. Te-124

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insert step 1> Determine the number of protons and neutrons in the nuclide. Tellurium (Te) has an atomic number of 52, which means it has 52 protons. The mass number of Te-124 is 124, so the number of neutrons is 124 - 52 = 72.

insert step 2> Check the neutron-to-proton (N/Z) ratio. For stability, lighter elements (Z < 20) typically have an N/Z ratio close to 1, while heavier elements have a ratio slightly greater than 1. Calculate the N/Z ratio for Te-124: N/Z = 72/52.

insert step 3> Compare the N/Z ratio to the expected range for stability. For elements with atomic numbers around 52, a stable N/Z ratio is typically between 1.2 and 1.5.

insert step 4> Consider the magic numbers. Magic numbers are specific numbers of nucleons (either protons or neutrons) that result in more stable configurations. Check if 52 (protons) or 72 (neutrons) is a magic number.

insert step 5> Evaluate the overall stability based on the N/Z ratio and magic numbers. If the N/Z ratio is within the stable range and/or if the nuclide has a magic number of protons or neutrons, it is more likely to be stable.

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Nuclear Stability

Nuclear stability refers to the ability of a nucleus to remain intact without undergoing radioactive decay. Stable nuclides have a balanced ratio of protons to neutrons, which helps to minimize repulsive forces between protons and provides sufficient strong nuclear force to hold the nucleus together.

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Band of Stability: Nuclear Fission

Isotopes and Nuclides

Isotopes are variants of a chemical element that have the same number of protons but different numbers of neutrons. Each isotope is referred to as a nuclide, and the stability of a nuclide can vary significantly based on its neutron-to-proton ratio, influencing its likelihood of being stable or radioactive.

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Isotopes

Magic Numbers

Magic numbers are specific numbers of protons or neutrons in a nucleus that result in enhanced stability. These numbers (2, 8, 20, 28, 50, 82, and 126) correspond to completely filled nuclear shells, leading to a lower probability of decay. Understanding these can help predict the stability of isotopes like Te-124.

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