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.)
I read from various sources that Non-baryonic matter (primarily WIMPs) is the best candidate to explain a number of cosmological phenomena.
Why would the phenomenon of radioactive decay not be attributed to these abundant (over 1/4 of the mass-energy of the universe) particles? I'm not trying to...
1. Create and solve differential equations for the number of different amounts of isotopes, which change through time in the decay chain X -> Y -> Z, where X and Y are radioactive atoms, and Z is a stable atom.
2. Make a mathematical analysis of how the different amounts of isotopes from 1 mg...
Hello,
I am a Mechanical Engineering student but I am a TA for an electricity and magnetism course, and I had a student ask a question that's a little bit outside my understanding. The question was related to the equation for a radiating electric field from an accelerating charged particle...
Homework Statement
Two species of radioactive atoms are mixed in equal numbers. The disintegration constant of first species is ##\lambda## and that of second species is ##\frac \lambda {3}##. After a long time, the mixture will behave as a species with mean life ________.
Homework Equations...
Hi, thanks to a different thread/question on this forum I've come to appreciate time dilation ..somewhat. And from that I wondered if, given the range of locally measured times aboard any and all particles in the universe, given their different trajectories and histories since the big bang...
Homework Statement
Analyzing a rock sample, it is found that it contains 1.58 mg of 238U and 0.342 mg of 206Pb, which is the stable final product of the disintegration of 238U. Assume that all 206Pb found comes from the disintegration of 238U originally contained in sample. How old is this...
Alright, a very simple question here. I am reading about nuclear decay of Carbon 14 into Nitrogen 14. I understand how one electron is released and subsequently one neutron turns into a proton, but I am curious about how many electrons are left with the Nitrogen atom. I want to believe five, as...
Last year in a Intro to Radiation Oncology lecture I was sitting in on, a physics professor at my school said that all a terrorist (or otherwise bad guy) would need to do to kill or at least harm a bunch of people is take a small amount of radioactive material and hide it somewhere in a desk. He...
I viewed the answers to the non repliable post https://www.physicsforums.com/threads/is-radioactive-decay-reversible-in-time.673735/, but I have doubts. In particular, the last claim by nugatory: "the overall decay of the sample is as irreversible as the transfer of heat from a hotter body to a...
Homework Statement
Archeologists removed some charcoal from a Native American
campfire, burned it in O2, and bubbled the CO2 formed into
Ca(OH)2 solution (limewater). The CaCO3 that precipitated was
filtered and dried. If 4.58 g of the CaCO3 had a radioactivity of
3.2 d/min, how long ago was...
Hello! I'm a high school science teacher who was recently switched to teaching physics for the first time mid-year.
I remember doing an electroplating demonstration in my gradeschool days for a science fair. It was fascinating and now I want to give my students a chance to do some hands-on...
Small radioactive sources are often used for laboratory experiments. They are enclosed in a metal container with a small window. A gamma source might be covered by a stainless steel window. What would you expect the window of an alpha source to be like, and why? (I know the answer has to do with...
Hello All,
Is it possible to analyze signals/photons/pulses from a 57Co source (strength 2 microCi) using a ADC (multihit readout) with 5 GS/sec? Just to look at pulse height spectrum..also I am interested to make a coincidence counting between 122 adn 14.4 keV levels! I heared that these ADCs...
I'm stuck on this idea. How are initial radioactive isotope quantities assumed in radiometric dating? There are current abundances for all isotopes, but wouldn't these abundances have been different in the past (much higher)? I honestly can't grasp how radioactive isotopes with short half lives...
If I was to throw together I variety of radioactive materials into a pot, what would be the interaction between the different materials? If I threw together Barium and Polonium, what would happen? What if I added Cesium, Europium, and Strontium to the mix? What about throwing in Uranium? Will...
How would one go about determining the amount of heat generated by the decay of a radioactive particle, such as Cesium 137, Polonium 210, or Strontium 90? How would you determine how much of the radioactive material would be needed to heat, say, a cup of water to a certain temperature, taking...
I was researching on radioactive elements and found out that polonium is the most radioactive element and the most radioactive isotope of polonium (out of 33!) is polonium 210. So I was wondering why it isn't used in nuclear plants and bombs. I know that if a slow neutron was to hit uranium 235...
Is there a way or process to neutralize the radioactive properties of a material (i.e. Make a radioactive substance stop ionizing it's surroundings?)
Alternatively, since the gamma radiation penetrates through materials the most, is there a way of "slowing down" the frequency (lowering the...
Homework Statement
The potassium isotope 4219K has a half-life of 12 hr, and disintegrates with the emission of a γ-ray to form the calcium isotope 4220Ca. What other radiation besides γ-rays must be emitted? How many electrons, protons, and neutrons are there in an atom of the calcium isotope...
When reading about radioactive decay, I see two types of decay constants: λ and "k".
From what I have interpreted, k = ln (.5) / half-life
whereas λ = ln (2) / half-life.
Have I defined these correctly?
If this is so, the difference between the two is slight.
When putting these into equations...
Hi,
ok another strange question:
how does this work:
<link to video deleted>
or what exactly is the science behind it? I saw it on BBC and they told
something like "the low density of the gas is a result of the radioactive decay"
i don´t get it. maybe someone could explain.
Radioactive decay is known to be a pure quantum effect, the particle from the nucleus is in a superposition until we measure it (according to collapse interpretations). In the Sch. cat experiment the radioactive particle gets entangled with a macroscopic object (Geiger counter) and so the...
Hi all!
I have a certain quantity of a radioactive material (e.g. 1 kg) in the open space. How can I calculate the temperature of this material as a function of time?
If it is useful, we can consider a beta decay material.
Thanks a lot.
Homework Statement
About a day after the Chernobyl disaster the radioactive fallout landed in Sweden. The relative activity of ##^{133}I (t_{1/2} = 20.8h )## and ##^{131}I (t_{1/2} = 8.02 d)## were measured at 28/4 17:00 at ##270## mBq and ##1000## mBq respectively.
Determine the time of the...
Hello, I wish to ask, if a kind of nuclear attack would happen, what radiation would it be, how far and for how long? How can we know how the radioation amount would change with time? Many thanks!
You can model the probability for radioactive decay as a Poisson distribution. This is the probability for radioactive decay within a specific time interval. (I probably got some of it wrong here).
P(k,μ)=λ^k⋅exp(-μ)/k!
Is there a way to use this formula to derive the other formula for...
Consider an ensemble of identically prepared pencils balanced on its tip. If a pencil is precisely vertical, ##x=0##, and precisely at rest, ##p=0##, then it will never fall. But some pencils in the ensemble would fall, because according to the uncertainty principle, the standard deviation...
Is the rate of radioactive decay fixed or does the environment have any impact eg would the rate of decay be the same in a low or very high gravitational field (in both cases measured from the viewpoint of the radioactive material)?
It seems odd to me that there would be a radioactive atom so far up the periodic table. What is it about this atom's atomic nucleus that makes it so unstable?
Basic high-school homework. I mostly just want feedback on my answers and advice :)
The experiment was to:
Drop pins into a box. Pick out the one's upside down and count them and these are the ones that underwent decay.
Get the ones that weren't upside down and throw them into the box again...
Really wishing I had paid more attention in high school. I assumed that reactive meant that the element either needed to gain or lose electrons causing it to "want" to grab onto another or be grabbed. Sodium being an example. If I am correct with that part, this next part is where I am picking...
Hello,
Are there any anthropologists, archaeologists, or geologists around on this board for help? I am trying to teach myself about radioactive decay via beta emission whereby a neutron spontaneously transmutes into a proton, releasing an electron. But, I do not understand the practical side...
Hi everyone this is my first time posting here,
First of all, excuse my english because here in Mtl we speak French mostly.
My team and I are working on an university project in Montreal (Qc) Canada (Polytechnique) regarding the recycling of radioactive material waste. We are working on the...
Homework Statement
The masses of the following atoms are:
238 U → 238.050786(2)
234 Th→ 234.043598(5)
4 He → 4.002603
a) Calculate the energy available in the decay of 238U.
b) Calculate the decay rate of 238U
238U half time = 4.468*10^9yrs
c) If a block of uranium produces 1mW of power...
Homework Statement
A radioactive material decays by simultaneous emission of two particles with respective half lives 1620 and 810 years. The time, in years, after which one-fourth of the material remains is:
Homework EquationsThe Attempt at a Solution
I'm confused whether the half lives...
Homework Statement
Two isotopes N1, N2. You are given the value of the proportions N1(t1)/N2(t1) and N1(t2)/N2(t2). From this calculate Δt.
Homework Equations
dN/dt = -λN
The Attempt at a Solution
Solve dN1/N = -λdt and dN2/N = -λdt
obtain: N1(t2) = N1(t1)exp(-λ1(t2-t1)) (1)
and N2(t2) =...
When electrons of high energy fall on metal X rays are produced.What about the metals having large atomic number and showing natural radio activity?Will there be a collision between the electrons and alpha and beta particle? I can not understand this. So please help me.
Among the radioactive products emitted in the 1986 Chernobyl reactor accident were 131I ( t1/2 = 8.0 d) and 137Cs (t1/2 = 30 y). There are about five times as many 137Cs atoms as 131I atoms produced in fission. (a) Which isotope contributes the greater activity to the radiation cloud? Assume the...
Homework Statement
Charred wood remains were found in Conimbriga, probably with Roman origin. When measured at 14C activity in these remnants, it afforded 10.8 disintegrations per second per gram. The half-processing 14C is 5730 ± 30 years and the activity of this isotope in the atmosphere and...
I was wondering if anyone could give me some insight as to what I found at my work the other day. We have old chemicals (some REALLY old) that turn up in random cabinets from time to time, and this time I was a bottle with a mostly-decayed label where the only thing that could be read was...
Hi guys, in my plot I have an unstable isotope of an alien element and I was wondering wouldn't it be nice if most of the particles generated from the decaying are entangled, how do you think, does it sound silly and totally impossible? If it is a good idea, then how such a property can be used...
Homework Statement
If a radioactive sample of 59Fe (t1/2= 44.496 d) has an activity of 1000 disintegrations per minute, what weight of 59Fe is present?
Homework Equations
Homework Statement
Are the number of electrons on both sides of the radioactive decay balanced?
Homework Equations
For example, consider an alpha decay.
ZPA → Z-2DA-4 + 2He4
For P,
Number of Neutrons = A - Z
Number of Protons = Z
Number of Electrons = Z
For D,
Number of Neutrons = [A - 4] - [Z...
Also, How do we know the radioactive decay is constant? I know that carbon dating cannot be 100% accurate because the rate of production fluctuates based on cosmic rays hitting our upper atmosphere. Why isn't this true with Earth metal isotopes?
Is time truly constant? It seems like a lot...
Homework Statement
If a radioactive isotope ends with 55.5 g, and has a half-life of 2.5 days, how much was
there 8.3 days ago?
Homework Equations
mf=mi(1/2^t/h)
The Attempt at a Solution
the answer i got was 554 g, is it correct?