# When a 226/88Ra nucleus decays by emitting an alpha particle, what is the atomic number?

Oct 31, 2015

The alpha decay of radium-226 ""_88^226 Ra results in radon-222 ""_86^222 Rn.

#### Explanation:

Radioactivity is one of the most sinister phenomena studied by chemists and physicists. It occurs in the atomic level; in fact, in the nucleus of an atom.

Essentially, radioactive decay happens when an unstable atom wants to lose energy and become stable again. It does that by emitting something out of its nucleus, which transforms into a different nucleus or into a nucleus in a different state.

There are many different types of radioactive decay. One of the most common types is alpha decay: the nucleus emits an alpha particle, which is simply a helium nucleus with no electrons, and transforms into a nucleus with atomic number reduced by two units and mass number reduced by four units.

Generally speaking,

${\text{_Z^AX -> ""_text(Z - 2)^("A - 4")Y + }}_{2}^{4} \alpha$

where Z is the atomic number and A is the mass number, given by the sum of the number of protons and of neutrons. So when you add up the A's and Z's on both sides of the equation, you get the same values.

Now, we've got a radium-226 atom. That 226 means that its mass number is equal to 226; elements occur, in nature or in lab, in many different forms, with of course the same atomic number but varying amounts of neutrons, resulting in varying mass numbers. These different 'versions' of an element are known as isotopes .

Radium is a highly radioactive element in all forms, and radium-226 is its most stable (or, at least, longest-lived) isotope.

So this radium-226 atom wants to lose energy. The way it's going to do that is by emitting an alpha particle and reducing its quantities of protons and neutrons. We know that an alpha particle has two protons and two neutrons.

What happens then is:

${\text{_88^226 Ra -> ""_86^222 Rn + }}_{2}^{4} \alpha$

So, in the end, we've got an atom with 86 protons and 136 neutrons. If we look at the periodic table of the elements, we'll find out which element that is: radon!

Radioactivity can be exploited in a variety of ways, both good and evil. And if you think about it, it's kind of wicked that, after thoroughly disproving and mocking alchemy and its principles, we've found that it really is possible to turn an element into another. What else could we be totally wrong about?

I'll leave you with that spooky thought!
Happy Hallowe'en!