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Mass number

physical science Maturity 11-13 Next article →

The mass number is a fundamental value used in nuclear physics. It is represented by the symbol A. This number represents the total count of nucleons in an atomic nucleus. Nucleons are the particles known as protons and neutrons. Because protons and neutrons are both baryons, the mass number A is identical to the baryon number B of the nucleus. This value is an integer, meaning it is always a whole number. It provides a way to identify specific isotopes of a chemical element.

Calculating the mass number involves a simple relationship between different subatomic parts. To find the mass number, you add the number of protons to the number of neutrons. The number of protons is also known as the atomic number, or Z. If you know the mass number and the atomic number, you can find the number of neutrons (N) using subtraction. The formula is N = A - Z. For example, the most common isotope of carbon is carbon-12. This atom has 6 protons and 6 neutrons, which results in a mass number of 12.

Mass numbers can change when an atom undergoes radioactive decay. This process follows the radioactive displacement law of Fajans and Soddy. One type of change is alpha decay. In this process, the nucleus loses an alpha particle containing two protons and two neutrons. This causes the atomic number to decrease by 2 and the mass number to decrease by 4. An example is uranium-238, which decays into thorium-234. During this change, the mass number drops from 238 to 234.

Other decay processes do not change the mass number at all. In beta decay, a neutron is transmuted into a proton. This process also emits an electron and an antineutrino. Because one neutron becomes one proton, the total number of nucleons stays the same. The atomic number increases by 1, but the mass number remains constant. For instance, carbon-14 undergoes beta decay to become nitrogen-14. Another way the mass number stays the same is through gamma ray emission. This occurs when a nuclear isomer, or a metastable excited state, releases energy. Since no protons or neutrons leave the nucleus, the mass number does not change.

The mass number is an estimate of the isotopic mass, which is measured in daltons (Da). For carbon-12, the isotopic mass is exactly 12. This is because the dalton is defined as 1/12 of the mass of a carbon-12 atom. For other isotopes, the mass is usually within 1 Da of the mass number. The difference between the actual isotopic mass and the mass number is called the mass excess. For example, chlorine-35 has a mass number of 35, but its isotopic mass is 34.966. This results in a mass excess of -0.034.

There are two main reasons why the mass number and isotopic mass differ. First, a neutron's mass is slightly greater than a proton's mass. The dalton unit assumes equal proportions of each, which causes accuracy to shift as the balance of protons and neutrons changes. Second, nuclear binding energy affects the total mass. According to Einstein's mass-energy equivalence, a nucleus with higher binding energy has a lower total mass. The dalton assumes a specific binding energy level. If the actual energy is higher, the measured mass drops.

It is important to distinguish the mass number from the standard atomic weight. The mass number is a count of particles in a single nucleus. In contrast, the standard atomic weight is a weighted average of all isotopes of an element. This average is based on the abundance of each isotope in a sample. For example, chlorine has two main isotopes: chlorine-35 and chlorine-37. About 75% of chlorine atoms are chlorine-35, while 25% are chlorine-37. This creates a relative atomic mass of approximately 35.5.

This weighted average can sometimes result in a number that does not match any single isotope. Consider the element bromine. It has two stable isotopes, 79Br and 81Br, which exist in nearly equal amounts. This leads to a standard atomic mass close to 80. However, the isotope 80Br is actually unstable. This demonstrates how the atomic weight represents a statistical average of a group of atoms rather than the mass of one specific nucleus. Understanding these differences is essential for chemistry and physics.

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