Early Attempts to Classify Elements

Döbereiner's triads and Newlands' law of octaves

Lesson 512 of 4,500 · The Periodic Table: Basics

Learning objectives

Introduction

Before the modern periodic table existed, several chemists spotted hints of order among the elements. Their ideas were incomplete, and some were laughed at, but each one moved chemistry closer to a working system. On this page we look at two important early attempts: Johann Döbereiner's triads and John Newlands' law of octaves . Both show how scientists use data to search for patterns — and how a pattern can be partly right yet still fail.

Core explanation

Döbereiner's triads (1817–1829). The German chemist Johann Döbereiner noticed that some elements came in sets of three with very similar chemical properties. He called each set a triad . The striking feature was that, when the three were arranged in order of atomic mass, the middle element had a mass close to the average of the other two. Its other properties, such as density and reactivity, also tended to lie between those of its partners.

Triad Relative atomic masses Average of first and last --- --- --- Lithium, sodium, potassium 6.9, 23.0, 39.1 23.0 Calcium, strontium, barium 40.1, 87.6, 137.3 88.7 Chlorine, bromine, iodine 35.5, 79.9, 126.9 81.2

In each case the middle mass is close to the average. Bromine, for instance, is a liquid whose colour and reactivity are in between those of chlorine (a gas) and iodine (a solid).

Limits of triads. Döbereiner and others could only find a handful of convincing triads. Many elements did not fit into any set of three, so the idea could not organise all the elements known at the time. It was a clue, not a complete system.

Newlands' law of octaves (1864–1865). The English chemist John Newlands arranged all the known elements in order of increasing atomic mass. He noticed that every eighth element seemed to resemble the first, like the eighth note in a musical scale repeating the first note an octave higher. Lithium resembled sodium, which came eight places later; sodium resembled potassium, eight places after that.

Where octaves worked and where they failed. The pattern worked well for the lighter elements, up to about calcium. Beyond that it broke down badly. To keep his rows complete, Newlands sometimes placed two elements in one position, and some clearly different elements ended up together — iron, a metal, was placed in the same line as oxygen and sulfur. He also left no gaps for elements not yet discovered, assuming the list was complete. Members of the Chemical Society in London were unimpressed; one reportedly asked whether he had tried arranging the elements alphabetically. His paper was not published by the Society.

Recognition later. Newlands was right about the key idea that properties repeat at intervals. After Mendeleev's success, the Royal Society awarded Newlands the Davy Medal in 1887 for his discovery of periodicity.

Step-by-step reasoning

To test whether three elements form a triad:

1. Check that they have similar chemical properties. 2. Arrange them in order of relative atomic mass. 3. Add the masses of the lightest and heaviest and divide by 2. 4. Compare this average with the middle element's mass. 5. If they are close, the three fit Döbereiner's pattern.

Visual explanation

Picture a piano keyboard with elements written on the white keys in order of mass: Li, Be, B, C, N, O, F, then Na on the next key. Na sits exactly one octave above Li, just as the note C repeats every eight white keys. Further up the keyboard, the matching begins to slip.

Real-world analogy

A triad is like three siblings whose heights are in order: the middle child is about halfway between the youngest and the eldest. It is an interesting family pattern, but it tells you nothing about the thousands of unrelated people in the town — just as triads said nothing about most elements.

Real-world example

Newlands' comparison with music is why we still speak of the "octet" of eight outer electrons in stable atoms. Although his rule for masses failed, the number eight really does appear in chemistry, because many elements react to gain an outer shell of eight electrons.

Why?

Why did octaves work only for light elements? Rows of eight match the short early rows of the modern table. From the fourth row onwards, the transition metals add ten extra elements to each row, so the repeat interval becomes 18, not 8, and Newlands' rigid pattern falls apart.

Common misconception

"Early scientists who got it wrong contributed nothing." Döbereiner and Newlands both identified genuine patterns. Science usually advances by improving partly correct ideas, and Mendeleev built on their observations.

Worked example

Question: Sulfur (32.1), selenium (79.0) and tellurium (127.6) have similar properties. Do they form a Döbereiner triad?

Reasoning: Average of first and last = (32.1 + 127.6) ÷ 2 = 159.7 ÷ 2 = 79.85, about 79.9. Selenium's mass is 79.0, very close to this.

Answer: Yes. The middle element's mass is close to the average, so they fit the triad pattern.

Quick check

1. In Newlands' law of octaves, which element in the list resembled the first? Answer: The eighth element, counting the first as number one.

Exam focus

Be able to state one strength and one weakness of each scheme. Triads: a real pattern, but only a few elements fitted. Octaves: all known elements were included and periodicity was recognised, but the pattern failed after calcium, no gaps were left and dissimilar elements were grouped together.

Advanced insight

The masses Newlands used were not always accurate, and several were revised soon afterwards. This matters: a classification based on measured data can only be as good as the measurements. Better atomic masses, obtained after the Karlsruhe Congress of 1860 agreed a consistent method, were essential to the success of later tables.

Summary

Döbereiner grouped some similar elements into triads, in which the middle element's atomic mass is about the average of the other two, but few elements fitted. Newlands arranged all known elements by atomic mass and saw that every eighth element was similar — the law of octaves. It worked up to calcium but then failed, left no gaps and grouped unlike elements together. Both ideas contained genuine insight into periodicity.

Practice questions

1. What is a Döbereiner triad? Answer: A set of three chemically similar elements in which the middle element's relative atomic mass is roughly the mean of the other two. 2. Calcium is 40.1 and barium is 137.3. Calculate the mass predicted for strontium by the triad rule. Answer: (40.1 + 137.3) ÷ 2 = 88.7, close to strontium's actual value of 87.6. 3. Give two reasons why Newlands' law of octaves was not accepted. Answer: It worked only up to calcium, and some very different elements (such as iron with oxygen and sulfur) were placed together; he also left no gaps for undiscovered elements. 4. Why was the triad idea unable to organise all the known elements? Answer: Only a small number of elements could be grouped into convincing triads; most elements did not belong to any triad.