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Avogadro constant

physical science Maturity 5-7 Next article →

In chemistry, scientists must bridge the gap between the tiny world of atoms and the large world we can see. The Avogadro constant is the fundamental tool used for this purpose. It serves as a conversion ratio between an amount of substance and the number of particles it contains. These particles can be atoms, molecules, ions, or ion pairs.

Amadeo Avogadro
Amadeo Avogadro

By using this constant, scientists can define the amount of a substance in terms of its elementary entities. This allows us to move from counting individual pieces to measuring mass and volume in a laboratory.

The constant functions as a proportionality factor in several ways. First, it relates the amount of substance to the number of particles in a sample. Second, it converts the average mass of a single particle into the molar mass. Molar mass is the mass of one mole of a substance.

Mole carbon-12 diagram
Mole carbon-12 diagram

For example, the average mass of one water molecule is about 18.0153 daltons. Because of the Avogadro constant, one mole of water has a macroscopic mass of about 18.0153 grams. The constant also links molar volume to the volume of a single particle. In water, the volume of one molecule is roughly 0.03 cubic nanometres.

There are distinct ways to view this value. The Avogadro constant itself is a defining constant with the dimension of reciprocal moles. The numerical value of this constant when expressed in terms of the mole is called the Avogadro number. Historically, the Avogadro number was a physical constant that scientists had to determine through experiments. Before 2019, it was tied to the mass of carbon-12. Now, the Avogadro number is an exact, fixed value. This change makes the mole a more stable unit for all scientific measurements.

The history of this concept spans many decades and different scientists. It is named after Amedeo Avogadro, an Italian physicist and chemist. In 1811, he proposed that gas volume is proportional to the number of particles.

Amadeo Avogadro
Amadeo Avogadro

Later, Josef Loschmidt obtained an indirect measurement of this value in 1865.

Johann Josef Loschmidt portrait plaque
Johann Josef Loschmidt portrait plaque

He estimated the number of particles in a volume of gas, creating the Loschmidt constant. In 1909, Jean Perrin coined the name "Avogadro's number."

Jean Perrin 1926
Jean Perrin 1926

Perrin used various experimental methods to find the value and won the Nobel Prize in Physics in 1926.

Significant changes occurred in how the world defines these measurements. In 1971, the International Bureau of Weights and Measures redefined the mole. They defined one mole as the amount of substance containing as many entities as there are atoms in 12 grams of carbon-12. This meant the Avogadro number was a physical constant that required experimental determination. However, on May 20, 2019, the system was revised again. The Avogadro constant was given an exact numerical value. This redefinition means the mass of one mole of carbon-12 is no longer exactly 0.012 kg, though the difference is tiny.

There are many surprising facts regarding the scale of this constant. The Avogadro number is approximately the number of nucleons, or protons and neutrons, found in one gram of ordinary matter. Scientists have even used X-ray crystallography to study it. This technique uses X-rays to measure the distances between layers in a crystal lattice. The Avogadro Project used this method on extremely pure spheres of silicon-28. They wanted to create a more accurate silicon-based definition of the constant. This shows how much precision is required to understand the atomic scale.

Finally, the Avogadro constant connects to many other important scientific values. It relates the molar gas constant to the Boltzmann constant. It also links the Faraday constant, which involves electric charge, to the elementary charge of a single electron.

Jean Perrin 1926
Jean Perrin 1926

By connecting these different fields, the Avogadro constant acts as a central pillar of modern physics and chemistry. It ensures that measurements of mass, charge, and volume all work together in a single, unified system.

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🖼️ Images & Media (4)
File:Amadeo Avogadro.png
Amadeo Avogadro.png
File:Mole carbon-12 diagram.svg
Mole carbon-12 diagram.svg
File:Jean Perrin 1926.jpg
Jean Perrin 1926.jpg
File:Johann Josef Loschmidt portrait plaque.jpg
Johann Josef Loschmidt portrait plaque.jpg
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