What are the ‘magic numbers’ in nuclear physics, and why are they so powerful?

What are the ‘magic numbers’ in nuclear physics, and why are they so powerful?

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An abstract illustration of a radioactive atom losing particles. In nature, some atoms are naturally more steady than others, thanks to specific “magic numbers” of nuclear particles.
(Image credit: aire images by means of Getty Images )

Some atoms are steady, while others appear to break down. Lead-208 will most likely last permanently, while the artificial isotope technetium-99 exists for simply hours. The distinction depends on the structure of the atom’s nucleus, with specific “magic numbers” of nuclear particles making some isotopes particularly resistant to radioactive decay.

What are these magic numbers, and why are they so unique?

This stability appears partially linked to the mass of the atom, with much heavier components showing less steady. In the 1940s and ’50s, researchers observed that numerous of the lighter aspects likewise had radioactive isotopes; both carbon-14 and potassium-40 go through radioactive decay gradually and are accountable for much of the world’s background radiation.

Intriguingly, these researchers saw that extremely specific varieties of protons and neutrons appeared to lead to abnormally steady nuclei, and these worths ended up being referred to as magic numbers.

“The magic numbers are 2, 8, 20, 28, 50, 82 and 126,” stated David Jenkinsa nuclear physicist at the University of York in the U.K. “If you take the lightest one — two protons and two neutrons — that’s the nucleus of the helium atom, and we know that’s a very stable combination of protons and neutrons.”

Related: Why isn’t an atom’s nucleus round?

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Shell video gameHelium nuclei, likewise referred to as alpha particles, are spontaneously produced from much heavier, unsteady atoms as they go through nuclear decay.

“If you think about it, that’s very weird,” Jenkins stated. “If an atom is going to decay, why doesn’t it lose protons or neutrons one at a time? The reason is that the alpha particle is very very stable, and that’s related to this idea of magic numbers.”

Other magic nuclei consist of oxygen-16 (8 protons and 8 neutrons), calcium-40 (20 protons and 20 neutrons) and lead-208 (82 protons and 126 neutrons), the heaviest steady component understood.

To comprehend these strange observations, physicists proposed the “nuclear shell model,” which draws parallels with the electronic shells utilized to discuss the chemical habits of atoms.

“The idea was that protons and neutrons sit in shells, a bit like the electrons in an atom, and nuclear excitations would involve protons and neutrons jumping up and down between those shells,” Jenkins discussed.

Like their electron analogues, these nuclear shells have actually repaired energy worths called quantized states, and the system is most steady when these shells are entirely filled. The specific thinking behind this is a complicated mix of quantum mechanical aspects, however it’s believed that the strong force — the basic interaction that holds the protons and neutrons together in the nucleus– is greater than anticipated per particle in finished shells.

Magic numbers are for that reason merely the varieties of particles needed to fill each of these nuclear shells, with different levels for protons and neutrons. Private isotopes can likewise be singly magic, with a magic number of either protons or neutrons (for instance, the primitive isotope iron-56), or two times as magic, with magic numbers of both protons and neutrons (like oxygen-16 and lead-208).

These two times as magic systems are scarce, however they have some appealing quantum residential or commercial properties, Jenkins stated.

“The doubly magic systems have a spherical distribution of matter and charge” — a totally round nucleus, he stated. “Most nuclei are deformed and rotate. They have a very different structure.”

Nobody understands how far this design will extend. Tin-100– the heaviest two times as magic nucleus, with 50 protons and 50 neutrons– has a half-life of simply 1.2 secondswhile unbihexium, the next magic aspect after lead, has actually never ever been manufactured. Whether this magic stability increase will be enough to enable researchers to include a 8th row to the regular table stays an open concern.

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Victoria Atkinson is a freelance science reporter, concentrating on chemistry and its user interface with the natural and human-made worlds. Presently based in York (UK), she previously worked as a science material designer at the University of Oxford, and later on as a member of the Chemistry World editorial group. Considering that ending up being a freelancer, Victoria has actually broadened her focus to check out subjects from throughout the sciences and has actually likewise dealt with Chemistry Review, Neon Squid Publishing and the Open University, among others. She has a DPhil in natural chemistry from the University of Oxford.

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