Radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration or nuclear disintegration) is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha decay (𝛼-decay), beta decay (𝛽-decay), and gamma decay (𝛾-decay), all of which involve emitting one or more particles or photons. The weak force is the mechanism that is responsible for beta decay, while the other two are governed by the usual electromagnetic and strong forces.Radioactive decay is a stochastic (i.e. random) process at the level of single atoms. According to quantum theory, it is impossible to predict when a particular atom will decay, regardless of how long the atom has existed. However, for a significant number of identical atoms, the overall decay rate can be expressed as a decay constant or as half-life. The half-lives of radioactive atoms have a huge range; from nearly instantaneous to far longer than the age of the universe.
The decaying nucleus is called the parent radionuclide (or parent radioisotope), and the process produces at least one daughter nuclide. Except for gamma decay or internal conversion from a nuclear excited state, the decay is a nuclear transmutation resulting in a daughter containing a different number of protons or neutrons (or both). When the number of protons changes, an atom of a different chemical element is created.
Alpha decay occurs when the nucleus ejects an alpha particle (helium nucleus).
Beta decay occurs in two ways;
(i) beta-minus decay, when the nucleus emits an electron and an antineutrino in a process that changes a neutron to a proton.
(ii) beta-plus decay, when the nucleus emits a positron and a neutrino in a process that changes a proton to a neutron, also known as positron emission.
In gamma decay a radioactive nucleus first decays by the emission of an alpha or beta particle. The daughter nucleus that results is usually left in an excited state and it can decay to a lower energy state by emitting a gamma ray photon.
In neutron emission, extremely neutron-rich nuclei, formed due to other types of decay or after many successive neutron captures, occasionally lose energy by way of neutron emission, resulting in a change from one isotope to another of the same element.
In electron capture, the nucleus may capture an orbiting electron, causing a proton to convert into a neutron in a process called electron capture. A neutrino and a gamma ray are subsequently emitted.
In cluster decay and nuclear fission, a nucleus heavier than an alpha particle is emitted.By contrast, there are radioactive decay processes that do not result in a nuclear transmutation. The energy of an excited nucleus may be emitted as a gamma ray in a process called gamma decay, or that energy may be lost when the nucleus interacts with an orbital electron causing its ejection from the atom, in a process called internal conversion. Another type of radioactive decay results in products that vary, appearing as two or more "fragments" of the original nucleus with a range of possible masses. This decay, called spontaneous fission, happens when a large unstable nucleus spontaneously splits into two (or occasionally three) smaller daughter nuclei, and generally leads to the emission of gamma rays, neutrons, or other particles from those products.
In contrast, decay products from a nucleus with spin may be distributed non-isotropically with respect to that spin direction. Either because of an external influence such as an electromagnetic field, or because the nucleus was produced in a dynamic process that constrained the direction of its spin, the anisotropy may be detectable. Such a parent process could be a previous decay, or a nuclear reaction.For a summary table showing the number of stable and radioactive nuclides in each category, see radionuclide. There are 28 naturally occurring chemical elements on Earth that are radioactive, consisting of 34 radionuclides (6 elements have 2 different radionuclides) that date before the time of formation of the Solar System. These 34 are known as primordial nuclides. Well-known examples are uranium and thorium, but also included are naturally occurring long-lived radioisotopes, such as potassium-40.
Another 50 or so shorter-lived radionuclides, such as radium-226 and radon-222, found on Earth, are the products of decay chains that began with the primordial nuclides, or are the product of ongoing cosmogenic processes, such as the production of carbon-14 from nitrogen-14 in the atmosphere by cosmic rays. Radionuclides may also be produced artificially in particle accelerators or nuclear reactors, resulting in 650 of these with half-lives of over an hour, and several thousand more with even shorter half-lives. (See List of nuclides for a list of these sorted by half-life.)
Since it is deterministic, the deBroglie-Bohm theory needs a model, mechanism or story whereby complete information of the pilot wave, particle trajectories and other hidden variables will allow calculation of the decay time of a particular unstable atom. What progress has been made on this...
Homework Statement
Ra (mass number 226 atomic number 88) undergoes alpha decay to form radon. If the mass of a radium nucleus is 3.753152x10-25kg, the mass of the radon nucleus is 3.686602x10-25kg and the mass of the alpha particle is 6.646322x10-27kg, find the energy released in the alpha...
So I heard a little rumor that Beta decays in certain isotopes release an electron at "ultrarelativistic" speeds. I also heard a rumor that Z bosons can be created temporarily by a positron annihilating an electron when the two collide.
My question is, can one place two highly...
I've been working with this problem for almost two weeks trying to find a good equation for the decay of Bismuth to no avail.
Can someone give me insightful comments:
Here's the problem:
Homework Statement
In the radioactive decay series of Uranium (238, 92), isotopes of lead...
If isotope A decays to isotope B.
Does it mean that if within 1 hour we have 10 mg of A that decays, do we get exactly 10 mg of B after one hour?
thanks
Homework Statement
{}^{241}_{95}Am produces \alpha particles, which interact with {}_{4}^{9} Be to produce neutrons.
The Am sample emits \alpha particles at a rate of 70.0s^{-1} on June 16, 1996.
What was the activity on June 16, 2004?
Homework Equations
The half life for...
Homework Statement
A radioactive sample contains 3.25 1018 atoms of a nuclide that decays at a rate of 3.4 1013 disintegrations per 26 min.
(a) What percentage of the nuclide will have decayed after 159 d?
%
(b) How many atoms of the nuclide will remain in the sample?
atoms
(c) What is...
I just read the following article, from 2007:
I find that pretty worrying, but oddly enough, there is hardly any other information to be found on this subject. The only other articles I can find link back to this one, so I wonder, is this just sensationalist reporting or is there some truth...
Question
The α-emitter 210, 84 Po is used in a nuclear battery. The kinetic energy of the emitted alpha particles can be worked out from energy and momentum conservation. It is converted into electrical energy at 5.0% efficiency.
(a) Determine the initial power output (in W) of the battery...
Hello;
Just needed to clarify something. When anti-particles undergo gamma radioactive decay, is a gamma ray produced, or an anti-gamma ray? Or something completely different?
Thanks.
Hello;
I remember being taught long ago that radioactive decay is random, but, no one ever explained to me why. Surely there has to be a reason for it? Or is it simply the case of it not being random? (particles in gases don't move randomly, it is dependent on various factors)
Thanks.
Homework Statement
Consider a radiactive decay problem involving two types of nuclei, A and B, with populations Na(t) and Nb(t). Suppose that type A nuclei decay to form type B nuclei, which then also decay, according to differential equations:Homework Equations
dNa/dt = - Na/Ta
dNb/dt =...
Homework Statement
This is an equation relating radioactivity of lead in marine core sediments in comparison with the depth of the sediment.
The equation is AL=A0exponential - λL/s
Where AL = activity at depth L (Bqkg-1)
Where A0 = activity at depth 0 cm (Bqkg-1)
λ = decay constant...
Would "finely dispersed radioactive aerosols" be correct to say?
I am translating a piece and I need some help.
The piece contains information about air filters that capture airborne radiation, namely ultrafine particles of radioactive matter (or so I understood). My question is, would...
I am confused about the half life and radioactive decay and how to figure out the problems.
here is one from my book:
A zircon sample contains 4000 atoms of the radioactive element 235U. Given that 235U has a half life of 700 million years, how long would it take to decay to 125 atoms?
Homework Statement
A radioactive source emits electrons. The number of electrons emitted per second
N(t) decreases with time according to the equation:
dN/dt = −1.8 × 10−5N(t) ,
where t is expressed in seconds. If N = 12 electrons/sec at t = 0, after what time t
has N fallen to the value...
Can anyone explain to me why actually are some elements radioactive? I have the explanation in my textbook but i want to know the main reason why these elements are not stable...
Hi!
I am looking for a sensor that can sense radioactive particle. It will alert when the amount of the radioactive particle in air is high. I found many radioactive detector, but I need is the sensor in the detector.
Can someone suggests for me this kind of sensor (as small as possible)...
Homework Statement
in fortran 90 write a program to using the euler scheme to solve the differential equation for decay of a radioactive substance
dx/dt = -j*x
solving the equation we get
x = e^(-j*t)
following info is given
2. Homework Equations and values
t0 = 0.0
tF =...
Hi,
If we calculate the flux at a certain distance from a source of radiation by first neglecting the effect of attenuation in air, how does one factor in the effect of air attenuation?
I do not know how to apply that theory. I'm am trying to understand what the difference is at sea level...
Homework Statement
Suppose that a given radioactive element A decomposes into a second radioactive element B, and that B in turn decomposes into a third element C. The amount of A present is initially a0. The amounts of A and B present at a later time t are a and b respectively. If k1 and k2...
Hi guys I am currently doing some homework for physics and I am having a little bit of difficulty understanding the topic. We are currently studying half life and radioactive decay. We completed a practical involving the rolling of X number of dice and removed all dice that rolled the number 2...
~Radioactive decay simulation
Homework Statement
i have modeled a simulation of radioactive decay and am using an exponential model of y = Ae^kx
and I am asking to analyse my model and justify my choice of model.
and points I can discuss are relating the solution to the problem and...
Hello everyone,
Having recently been engaged in a laboratory class involving the measurement of the activity of various sealed radioactive samples, I am curious to know how durable these 'sealed' disks are...
My question is, how long does it take for its 'sealed' state to become...
Can anyone tell me what makes an atom unstable, and more prone to radioactive decay? From what I've read in books and on http://en.wikipedia.org/wiki/Nuclear_decay" , it's caused by flucutations in the quantum vacuum which disturb the nucleus. But why are some atoms more prone to be bothered...
Homework Statement
I'm looking at a problem from MIT's Open Courseware on radioactive chain decay, i.e. one element decays into another decays into another, finding the quantity at time t.Homework Equations
The standard linear differential equation governing exponential decay.The Attempt at a...
The problem states:
I know it's beta decay, but there are two types of beta decay and I'm not sure how to tell which one would happen. If anyone is more familiar with these kinds of questions than I am, I'd be really thankful for any help.
Thanks ahead of time!
Homework Statement
A Uranium mine extracts sandstone in which the Uranium ore grade is 0.25%. Consideration is given to extracting Radium from the tailings. Estimate the concentration of Radium in the tailings and, using the data provided, determine if the proposal is financially viable...
Dear all,
When I was a nipper, my favourite TV show was 'Space 1999' - anyone remember that? Anyway, I think the main reason why I liked it (aside from Barbara Bain and Catherine Schell) was because a lot of the technology portrayed had a sense of realism to it, which in the 70's didn't seem...
Homework Statement
A laboratory rat is exposed to an alpha-radiation source whose activity is 11.3 mCi. What is the activity of the radiation in disintegrations per second? in becquerels? The rat has a mass
of 315 grams and is exposed to the radiation for 12.3 seconds, absorbing 39% of...
I have an essay on radioactive decay, here is the title 'Explore the nature of radioactive decay and Discuss it's applications'
Does anyone know any good reference material for this kind of thing?
Equivilence of mass and energy
Alpha, Beta, Gamma
Nuclear power
Med Physics
Carbon...
I was doing some research on Technetium and I found out that it occurs naturally in uraninite from the spontaneous fission of U-238. But on the decay chain of U-238 I can't find Tc any where... So what's the difference between spontaneous fission and radioactive decay?
Does the half life of a particular radioactive decay change if the sample is accelerated close to the speed of light ?
Didn't Hawking answer that question in the 1980's ?
Shouldn't the half life itself change over time ? (since the normal pdf is the one with the most entropy of information and...
This problem has always bugged me, and the only answers I've been given were on the lines of "meh". What I don't understand is that if we are given 1 gram of a radioactive substance with a half life of n years, why is it that after n years, the substance is reduced to 0.5 grams of radioactive...
how the decay depends on total mass of the radioactive element?
is it necessary that all the atoms of the element keep contact among them, for the above case?
Homework Statement
A radioactive needle contains 222 Rn (t1/2=3.83 d) in secular equilibrium with 226 Ra(t1/2=1600 a). How long does is it required for 222 Rn to decay to half of its original activity?Homework Equations
A(t) = -\frac{dN(t)}{dt} = \lambda N(t)
The Attempt at a Solution...
Hello my smart fellows, I was wondering why scientists say that when an ancient civilization constructs a structure, they can tell the date that the structure was built with radioactive dating methods? Surely the materials used to make the structure already HAD an age, so how would they be able...
Homework Statement
Analysis of the material shows that it contains both Gallium-64 (atomic mass = 63.936838u) and Zinc-64 (atomic mass = 63.929147u). Which nuclide is the parent nuclide and which is the daughter nuclide?Homework Equations
N/AThe Attempt at a Solution
The answer is supposed to...
Homework Statement
Plutonium-238 with a half-life of 90 years, emits and alpha particle of energy 5.10 MeV. 180mg of this radioisotope is used to power a pacemaker. Calculate the initial power in mW, supplied by Plutonium-238, assuming a 100% efficiency for the conversion of decay energy into...
Homework Statement
This particular exercise has no "problem statement" but I'll explain it in detail using all the information provided to me.
The class was presented with a table of data containing values for time (in days) and activity (in cts/sec) for a radioactive isotope Iodine-131...
After asking my own question on half-lives and radioactive decay despite having read the library article on Radioactive Decay, I felt that I should post a less formal, more in-depth explanation of how to actually solve the equations.
There are two primary equations that I use when dealing...
[Hey I have also been asked this question, A mouse dropping was found in a house in Ireland and had a 14C:12C ratio that was 57% of a modern day standard. Use this value to estimate the aprox date when the mouse visited the house? The half life of 14C is 5715 year
I used the following...
If nucleus A decays to nucleus B in rate a, and B decays to C in rate b, and C is decaying at the rate c. To setup a model for that process, we start from A
\frac{dA}{dt} = - a A(t)
and for B, part for B is dying out from it's own decaying process but some amount of A will decay into...
thanx for help in advance,
we know that radioactive iodine is given to people to minimize their thyroid growth or plain thyroid activity. This certain iodine 131-53 I, has a half life of 7.56 days. so why would the radiation in the human body decrease at a faster rate than at the calculated...
thanx for help in advance,
we know that radioactive iodine is given to people to minimize their thyroid growth or plain thyroid activity. This certain iodine 131-53 I, has a half life of 7.56 days. so why would the radiation in the human body decrease at a faster rate than at the calculated...
Hi folks
I was wondering if someone could please help me with the following:
Is the explanation for radioactive decay (if it is not "induced") the increase in entropy, and
is it true that an activation energy must be overcome (if so, does that mean that it is not possible for an unstable...