JOVANA
Library Glossary Getting Started Three Levels Fields How it works Mission
Join the mission
Back to the library
Physics 1913

The High-Frequency Spectra of the Elements

Henry Moseley

Each element shouts its own X-ray note — and the notes climb in whole-number steps that fix the true order of the elements.

Choose your version
In depth · the introduction

By photographing the X-rays that elements give off, a 27-year-old found the hidden number that puts the periodic table in its true order — and counted the elements no one had found yet.

The big idea

Mendeleev had lined the elements up by their atomic weight, and it mostly worked — but not always. A few neighbours sat in an order their weights said was wrong, and nobody knew how many elements still waited to be discovered, or exactly where. The table was a brilliant guess that lacked a ruler.

Moseley found the ruler. He blasted each element with electrons so it glowed in X-rays, then measured the pitch — the frequency — of its brightest X-ray. When he lined the elements up and looked at the square root of that frequency, it climbed in perfectly even steps, one step per element. The step counter was a whole number — the atomic number — and it turned out to be the amount of positive charge in the atom's core. The true order of the elements is the order of nuclear charge: 1, 2, 3, 4… with no gaps and no fudging.

How it came about

Henry Moseley was a young physicist in Ernest Rutherford's Manchester laboratory — the lab that had just discovered the atomic nucleus. In 1913 a father-and-son team, the Braggs, had invented a way to measure X-rays precisely using a crystal. Moseley seized the new tool and, at extraordinary speed, ran element after element through it.

His timing was perfect. That same year Niels Bohr published his model of the atom, and a little-known Dutchman, Antonius van den Broek, had guessed that an element's place-number equals the charge on its nucleus. Moseley's straight line proved it. He published in 1913 and 1914 — and then the war came. He volunteered, and in August 1915 he was shot dead at Gallipoli, aged 27. It is one of science's great might-have-beens.

Why it mattered

Moseley gave chemistry its backbone. 'Atomic number' — the number you see above every symbol on the wall chart — is his. It explained why a few elements sit 'out of order' by weight (they are in order by charge), and, most strikingly, it worked as a census: it showed there were exactly four elements still missing between aluminium and gold, and gave their numbers. Chemists now knew precisely how many elements existed and which holes to fill. All four were eventually found.

A way to picture it

Imagine houses along a long street, numbered 1, 2, 3… You could try to order them by how heavy each house is — but a heavy house might sit next to a lighter one, and you could never be sure a house was missing. Moseley found the street numbers. Each element 'calls out' its house number in X-ray light, and the numbers run in a perfect sequence. When the count skips from 42 to 44, you know for certain that house 43 exists but hasn't been built yet — a missing element. Slide along the elements below and watch the number climb one even step at a time.

An interactive Moseley plot: a slider walks through the elements by atomic number Z; the square root of each one's brightest X-ray (Kα) frequency falls on a straight line that rises in equal steps. Four positions are shown as hollow markers — the elements not yet discovered when Moseley wrote.

Where it sits

Moseley stands between Mendeleev and the modern atom. Mendeleev (1869) had arranged the elements by weight and chemical family; Rutherford (1911) had found the nucleus; Bohr (1913) had just explained spectra with quantum jumps. Moseley fused them: he showed that the integer in the periodic table is Bohr's nuclear charge, read off in X-ray light. After him the table was reorganised by atomic number — the form you learn today — and his X-ray method grew into the elemental-fingerprint scanners now used everywhere from museums to Mars rovers.

The original document
Original source text
H. G. J. Moseley · Philosophical Magazine, Series 6 · Part I: vol. 26, pp. 1024–1034 (Dec 1913) · Part II: vol. 27, pp. 703–713 (April 1914)
Part I — the high-frequency spectra
Moseley made each element in turn the target in an X-ray tube and photographed its characteristic X-rays, dispersing them with a crystal by the Braggs' brand-new method. Every element showed the same pattern — a strong K doublet (the Kα and Kβ lines) — whose frequency rose steadily and steeply as he stepped from one element to the next.
When he plotted the square root of the Kα frequency against an integer that simply numbers the elements in order, the points fell on a straight line. From that line he drew his conclusion:
We have here a proof that there is in the atom a fundamental quantity, which increases by regular steps as we pass from one element to the next. This quantity can only be the charge on the central positive nucleus, of the existence of which we already have definite proof.
Part II — from aluminium to gold
The 1914 sequel extended the measurements across some forty elements, from aluminium (13) to gold (79), assigning each its atomic number N and showing that ordering the elements by N — rather than by atomic weight — removes the periodic table's standing anomalies and leaves visible gaps wherever an element is still undiscovered.
The straight line is unforgiving: an element put out of order, or a vacant place miscounted, would break it. From the unbroken line Moseley read off that the elements at N = 43, 61, 72 and 75 had not yet been found.
[ … ]
The full papers tabulate the measured wavelengths and the constants of the K and L lines element by element; the complete public-domain text is available at the source below.
Manchester & Oxford · 1913–1914