superweirdo said:
What causes an atom to decay? To tell you the truth, it doesn't even have to be an atom, it can be a proton, a neutron, an electron.
Let's look at what's typically involved in the process of "alpha-decay" of a heavy nucleus.
We have a "mother" nucleus (A) which decays into a "daughter" nucleus (B) and an "emitted" alpha-particle (α):
A → B + α .
A simple (approximate) way to treat this kind of problem is to think of A as though it already consists of B and α. So, we put B at the
center of our space, and we put α at a
distance r away from B. Then we consider the potential energy V, of α in the vicinity of B, as a function of r (the distance between them); we write this function as V(r).
Here is a sketch (https://www.physicsforums.com/attachment.php?attachmentid=7386&stc=1&d=1153772558) of what is typically found. The potential-energy function V(r) has the form of a very deep "well" (the region r < r
o), with a peak value equal to V
o at the edge (r = r
o) of the "well". Outside of the "well" (r > r
o), the potential energy V(r) gradually falls off.
In the sketch, the energy E
o represents the typical
total energy of the α-particle. As you can see, when the α-particle is situated
inside the "well" (r < r
o), it does
not have enough energy to
escape. On this basis, then, we would expect to find that – in an 'ideal' environment – the "mother" nucleus A
is stable. As you wrote:
superweirdo said:
Then why can't an atom live forever? Ok, if it is being provided a theoretically perfect environment which would ensure that nothing damages it, then would it life forever?
Your suspicion would be correct if the system in question behaved according to "classical" mechanics, the mechanics of
Newton. In that case, a "theoretically perfect environment" (in which the α-particle
never gets a "kick" hard enough to raise its total energy high above its typical value E
o and up over the "peak" V
o of the "well") would result in a perfectly
stable "mother" nucleus A.
But, as it turns out, the system in question behaves according to "quantum" mechanics. In that case – even
when there is a "theoretically perfect environment" (so that the α-particle
always has a total energy equal to E
o) – the α-particle can
still make its way to the
outside of the "well". This phenomenon is referred to as
quantum mechanical "tunneling" or "barrier penetration".
Quantum mechanically, then, an α-particle situated
inside the "well" will have a certain
probability (per unit time) to be found
outside of the "well". And this gives rise to the familiar (exponential) law of decay.