AP Syllabus focus: 'Alpha decay occurs when a nucleus ejects an alpha particle, which is a helium nucleus with two protons and two neutrons.'
Alpha decay is a nuclear change in which a heavy nucleus releases a compact particle made of four nucleons, producing a new nucleus with lower mass number and lower atomic number.
What Alpha Decay Is
Alpha decay is a type of nuclear change in which an unstable nucleus emits a small, tightly bound particle. This emitted particle removes part of the nucleus itself, so the original nucleus becomes a different nucleus after the decay. Because the particle that leaves contains both protons and neutrons, alpha decay changes the identity of the atom’s nucleus, not just its energy.
The emitted particle is an alpha particle.

This diagram depicts alpha decay as a compact cluster of two protons (red) and two neutrons (blue) separating from a larger parent nucleus. It visually emphasizes that the emitted particle is itself a small nucleus (not an atom), and that the remaining daughter nucleus has fewer nucleons than the parent. Source
Alpha particle: A helium nucleus containing two protons and two neutrons.

This schematic shows the alpha particle as a helium-4 nucleus composed of two protons and two neutrons. The diagram supports conservation reasoning in alpha-decay equations by making the “2 protons + 2 neutrons” bookkeeping visually concrete. Source
An alpha particle is a nucleus, not a complete helium atom. A neutral helium atom would also include two electrons, but those electrons are not part of the alpha particle. In alpha decay, the particle leaving the nucleus contains only the four nucleons: two protons and two neutrons. This makes the alpha particle relatively massive compared with many other particles encountered in atomic and nuclear physics.
What Changes During Alpha Decay
Changes in the Nucleus
Because the alpha particle carries away two protons and two neutrons, the remaining nucleus must have fewer nucleons than it had before the decay. That means two key nuclear numbers change:
The mass number decreases by 4 because the nucleus loses four nucleons total.
The atomic number decreases by 2 because the nucleus loses two protons.
The daughter nucleus is therefore a different element from the parent nucleus.
These changes are the central idea behind alpha decay. If a nucleus begins with a certain number of protons and neutrons, then after emitting an alpha particle, the nucleus must be re-labeled to match its new composition. In nuclear notation, this is shown by changing both the upper number and the lower number of the nuclide symbol.
General Nuclear Equation
A convenient way to represent alpha decay is with a general nuclear equation.
= mass number of the parent nucleus
= atomic number of the parent nucleus
= symbol of the parent element
= symbol of the daughter element
This notation shows that the parent nucleus loses four nucleons overall and two protons specifically. Some books also write the emitted alpha particle as , but makes its composition especially clear. When reading or writing alpha-decay equations, always check that the numbers on both sides match the physical meaning of the decay.
How to Interpret the Equation
In the symbol , the upper number gives the total number of nucleons in the nucleus, and the lower number gives the number of protons. During alpha decay, both numbers decrease in a predictable way. This makes alpha decay one of the easiest nuclear processes to track algebraically.
If you are asked to identify the daughter nucleus after alpha decay, the steps are straightforward:
Subtract 4 from the original mass number.
Subtract 2 from the original atomic number.
Use the new atomic number to determine the new element symbol.
This process is not optional or approximate. It follows directly from the fact that the alpha particle itself contains two protons and two neutrons. In other words, the daughter nucleus is whatever remains after those four nucleons are removed from the parent nucleus.
Parent Nucleus and Daughter Nucleus

This figure illustrates alpha decay by showing a parent nucleus transforming into a daughter nucleus plus an emitted alpha particle. It highlights the parent/daughter terminology and reinforces the central counting rule: the daughter has two fewer protons and two fewer neutrons than the parent. Source
The parent nucleus is the nucleus before the decay happens. The daughter nucleus is the nucleus left behind after the alpha particle is emitted. In alpha decay:
the parent nucleus starts with more protons and neutrons,
the alpha particle takes away two protons and two neutrons,
the daughter nucleus ends with reduced mass number and reduced atomic number.
Because the proton number changes, the daughter nucleus belongs to a different element on the periodic table.
Why the Element Changes
An element is defined by its number of protons. Since alpha decay removes two protons from the nucleus, the proton number changes, so the element must change as well. This is why alpha decay is not just a rearrangement inside one nucleus; it is a genuine nuclear transformation from one element into another.
That point is important in AP Physics 2 Algebra: alpha decay is identified by the ejection of a helium nucleus, and the nuclear notation must reflect the loss of exactly two protons and two neutrons.
Common Points of Confusion
A few ideas are often mixed up when students first study alpha decay:
An alpha particle is not a neutral helium atom. It has no electrons attached.
The daughter nucleus is not the same element as the parent nucleus. Losing two protons changes the element.
The mass number does not decrease by 2. It decreases by 4, because both protons and neutrons are counted in mass number.
The atomic number does not decrease by 4. It decreases only by 2, because atomic number counts protons only.
Alpha decay comes from the nucleus. It is a nuclear process, not a process involving electrons outside the nucleus.
Keeping these distinctions clear makes it much easier to recognize alpha decay, write correct nuclear equations, and interpret what has happened to the parent nucleus.
FAQ
Very heavy nuclei contain many protons, so the electric repulsion inside the nucleus is large. That can make the nucleus less stable.
Emitting an alpha particle reduces the number of protons and total nucleons at the same time. Since the alpha particle is also a very stable cluster of two protons and two neutrons, it is a natural piece for the nucleus to eject.
Classically, it seems like the alpha particle should be trapped inside the nucleus. In modern physics, the process is explained using quantum tunneling.
The alpha particle can pass through the energy barrier around the nucleus even when it does not have enough energy to climb over it classically. This is one of the key quantum ideas behind alpha decay.
Alpha particles are relatively massive and carry positive charge. Because of that, they interact strongly with matter as they move through it.
They lose energy quickly, so they travel only a short distance in air and can be stopped by very thin materials such as paper or the outer dead layer of skin. Their low penetration is a defining feature of alpha radiation.
Outside the body, alpha particles usually cannot penetrate far enough to reach sensitive internal tissue. That makes external exposure less dangerous in many situations.
Inside the body, the situation changes. If an alpha-emitting substance is inhaled, swallowed, or enters through a wound, the alpha particles deposit energy over a very short distance in nearby tissue, which can cause significant biological damage.
Alpha particles can be detected because they produce strong ionization in matter. Several instruments use that effect.
Common methods include:
Cloud chambers, where alpha tracks appear short and thick
Scintillation detectors, which flash when alpha particles strike
Semiconductor detectors, which measure the energy deposited by the particle
Their short range and strong ionization help distinguish them from other kinds of nuclear radiation.
Practice Questions
An unstable nucleus undergoes alpha decay. State the composition of the emitted alpha particle and describe how the nucleus changes.
[2 marks]
1 mark for stating that the alpha particle contains two protons and two neutrons.
1 mark for stating that the nucleus loses 2 protons and 2 neutrons, so its atomic number decreases by 2 and its mass number decreases by 4.
The nucleus undergoes alpha decay.
(a) Write the complete nuclear equation for the decay. (b) Identify the daughter nucleus. (c) State the change in the number of protons and the number of neutrons in the nucleus.
[5 marks]
1 mark for a correct decay format: parent nucleus daughter nucleus alpha particle.
1 mark for the correct daughter mass number: .
1 mark for the correct daughter atomic number: .
1 mark for correctly writing the alpha particle as or .
1 mark for stating that the nucleus loses 2 protons and 2 neutrons.
A fully correct equation is:
