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What are the rules of Dobereiner?

Published in Periodic Table History 2 mins read

Dobereiner's rules, also known as the Law of Triads, describe a pattern he observed among certain groups of three elements. The core rule is based on the atomic masses of these elements.

The Law of Triads Explained

The key idea of Dobereiner's Law of Triads is that within a group of three similar elements (a triad), the atomic mass of the middle element is approximately the average of the atomic masses of the first and third elements.

  • Atomic Mass Relationship: The reference states that "the arithmetic mean of the atomic masses of the first and third element in a triad would be approximately equal to the atomic mass of the second element in that triad".

How the Law Works in Practice

Dobereiner identified several triads where this pattern holds true. Let's visualize this using a table:

Triad Element 1 Atomic Mass (approx.) Element 2 Atomic Mass (approx.) Element 3 Atomic Mass (approx.) Calculated Average (E1 & E3)
Lithium Lithium 7 Sodium 23 Potassium 39 23
Calcium Calcium 40 Strontium 88 Barium 137 88.5
Chlorine Chlorine 35.5 Bromine 80 Iodine 127 81.25
Sulfur Sulfur 32 Selenium 79 Tellurium 128 80
  • Calculated Average: As you can see in the table, the atomic mass of the middle element (Element 2) is close to the average of the atomic masses of the first (Element 1) and third (Element 3) elements.

Limitations of Dobereiner's Law

While significant for its time, Dobereiner's Law of Triads had limitations:

  • Not Universal: It didn't apply to all known elements. Many elements did not fit into the triad model.
  • Limited Groups: Only a few groups of elements were found to follow this rule.
  • Inconsistencies: The averaging wasn't perfect; there were often slight discrepancies in the calculated average compared to actual atomic mass of the middle element.

Conclusion

Dobereiner's Law of Triads, although limited in its scope, was an important early attempt to categorize elements and identify patterns in their properties. It laid the groundwork for later, more comprehensive organization of the elements, such as the periodic table. The rule states that within a triad, the arithmetic mean of the atomic masses of the first and third elements is approximately equal to the atomic mass of the middle element.