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		<id>https://en.formulasearchengine.com/w/index.php?title=Minimum_detectable_signal&amp;diff=24422</id>
		<title>Minimum detectable signal</title>
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		<summary type="html">&lt;p&gt;128.174.190.99: /* Equation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;Radioanalytical chemistry&#039;&#039;&#039; focuses on the analysis of sample for their [[radionuclide]] content.  Various methods are employed to purify and identify the [[radioelement]]  of interest through chemical methods and sample measurement techniques.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
&lt;br /&gt;
The field of radioanalytical chemistry was originally developed by [[Marie Curie]] with contributions by [[Ernest Rutherford]] and [[Frederick Soddy]].  They developed chemical separation and radiation measurement techniques on terrestrial radioactive substances.  During the twenty years that followed 1897 the concepts of radionuclides was born.&amp;lt;ref&amp;gt;Ehmann, W.D., Vance, D. E. &#039;&#039;Radiochemistry and Nuclear Methods of Analysis&#039;&#039;, 1991, 1-20&amp;lt;/ref&amp;gt;  Since Curie&#039;s time, applications of radioanalytical chemistry have proliferated.  Modern advances in nuclear and radiochemistry research have allowed practitioners to apply chemistry and nuclear procedures to elucidate nuclear properties and reactions, used radioactive substances as [[Radioactive tracer|tracers]], and measure radionuclides in many different types of samples.&amp;lt;ref&amp;gt;Krane, K.S. &#039;&#039;Introductory Nuclear Physics&#039;&#039;, 1988, John Wiley &amp;amp; Sons, 3-4.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The importance of radioanalytical chemistry spans many fields including [[chemistry]], [[physics]], [[medicine]], [[pharmacology]], [[biology]], [[ecology]], [[hydrology]], [[geology]], [[forensics]], [[atmospheric sciences]], health protection, [[archeology]], and [[engineering]].  Applications include: forming and characterizing new elements, determining the age of materials, and creating radioactive reagents for specific tracer use in tissues and organs.  The ongoing goal of radioanalytical researchers is to develop more radionuclides and lower concentrations in people and the environment.&lt;br /&gt;
&lt;br /&gt;
== Radiation decay modes ==&lt;br /&gt;
&lt;br /&gt;
=== Alpha-particle decay ===&lt;br /&gt;
&lt;br /&gt;
[[Alpha decay]] is characterized by the emission of an alpha particle, a &amp;lt;sup&amp;gt;4&amp;lt;/sup&amp;gt;He nucleus.  The mode of this decay causes the parent nucleus to decrease by two protons and two neutrons.  This type of decay follows the relation:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{}_Z^A\!X\to {}_{Z-2}^{A-4}\!Y+ {}_4^2\alpha&amp;lt;/math&amp;gt; &amp;lt;ref&amp;gt;http://library.thinkquest.org/27954/dequ.htm&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Beta-particle decay ===&lt;br /&gt;
&lt;br /&gt;
[[Beta decay]] is characterized by the emission of a [[neutrino]] and a negatron which is equivalent to an [[electron]].  This process occurs when a nucleus has an excess of neutrons with respect to protons, as compared to the stable [[isobar (nuclide)|isobar]].  This type of transition converts a neutron into a proton; similarly, a [[positron]] is released when a proton is converted into a neutron.  These decays follows the relation:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{}_Z^A\!X\to {}_{Z+1}^A\!Y+ \bar{\nu} + \beta^-&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;{}_Z^A\!X\to {}_{Z-1}^A\!Y+ \nu + \beta^+&amp;lt;/math&amp;gt; &amp;lt;ref&amp;gt;http://chemteam.info/Radioactivity/Writing-Alpha-Beta.html&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Gamma-ray decay ===&lt;br /&gt;
&lt;br /&gt;
[[Gamma ray]] emission is follows the previously discussed modes of decay when the decay leaves a daughter nucleus in an excited state.  This nucleus is capable of further de-excitation to a lower energy state by the release of a photon.  This decay follows the relation:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{}^A\!X^* \to {}^A\!Y + \gamma &amp;lt;/math&amp;gt; &amp;lt;ref&amp;gt;Loveland, W., Morrissey, D. J., Seaborg, G. T., &#039;&#039;Modern Nuclear Chemistry&#039;&#039;, 2006, John Wiley &amp;amp; Sons, 221.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Radiation detection principles ==&lt;br /&gt;
&lt;br /&gt;
=== Gas ionization detectors ===&lt;br /&gt;
[[Image:gas det.JPG|thumb|320px|Schematic of an ionization detector]]&lt;br /&gt;
[[Gaseous ionization detectors]] collect and record the electrons freed from gaseous atoms and molecules by the interaction of radiation released by the source.  A voltage [[potential]] is applied between two electrodes within a sealed system.  Since the gaseous atoms are ionized after they interact with radiation they are attracted to the anode which produces a signal.  It is important to vary the applied voltage such that the response falls within a critical proportional range.&lt;br /&gt;
&lt;br /&gt;
=== Solid-state detectors ===&lt;br /&gt;
&lt;br /&gt;
[[Image:Solid det.JPG|thumb|450px|Schematic of a solid-state detector]]&lt;br /&gt;
The operating principle of [[Semiconductor detector]]s is similar to gas ionization detectors expect instead of ionization gas atoms, free electrons and holes are produced which create a signal at the electrodes.  The advantage of solid state detectors is the greater resolution of the resultant energy spectrum.  Usually NaI(Tl) detectors are used; for more precise applications Ge(Li) and Si(Li) detectors have been developed.  For extra sensitive measurements high-pure germanium detectors are used under a liquid nitrogen environment.&amp;lt;ref&amp;gt;Ehmann, W.D., Vance, D. E. &#039;&#039;Radiochemistry and Nuclear Methods of Analysis&#039;&#039;, 1991, 220-236.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Scintillation detectors ===&lt;br /&gt;
&lt;br /&gt;
[[Scintillation (physics)|Scintillation]] detectors uses a photo luminescent source (such as ZnS) which interacts with radiation.  When a radioactive particle decays and strikes the photo luminescent material a photon is released.  This photon is multiplied in a [[photomultiplier tube]] which converts light into an electrical signal.  This signal is then processed and converted into a channel.  By comparing the number of counts to the energy level (typically in keV or MeV) the type of decay can be determined.&lt;br /&gt;
&lt;br /&gt;
== Chemical separation techniques ==&lt;br /&gt;
&lt;br /&gt;
Due to [[radioactive]] nucleotides have similar properties to their stable, inactive, counterparts similar [[analytical chemistry]] separation techniques can be used.  These separation methods include [[Precipitation (chemistry)|precipitation]], [[Ion Exchange]], [[Liquid Liquid]] extraction, [[Solid]] Phase extraction, [[Distillation]], and [[Electrophoretic deposition|Electrodeposition]].&lt;br /&gt;
&lt;br /&gt;
== Radioanalytical chemistry principles ==&lt;br /&gt;
&lt;br /&gt;
=== Sample loss by radiocolloidal behaviour ===&lt;br /&gt;
&lt;br /&gt;
Samples with very low [[concentrations]] are difficult to measure accurately due to the radioactive atoms unexpectedly depositing on surfaces.  Sample loss at trace levels may be due to adhesion to container walls and filter surface sites by [[ion]]ic or [[electrostatic]] adsorption, as well as metal foils and glass slides.  Sample loss is an ever present concern, especially at the beginning of the analysis path where sequential steps may compound these losses.  &lt;br /&gt;
&lt;br /&gt;
Various solutions are known to circumvent these losses which include adding an inactive [[Catalyst|carrier]] or adding a tracer.  Research has also shown that that pretreatment of glassware and plastic surfaces can reduce radionuclide sorption by saturating the sites.&amp;lt;ref&amp;gt;Theirs, R. E., &#039;&#039;Separation, Concentration, and Contamination in Trace Analysis&#039;&#039;, 1957, John Wiley, 637-666.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Carrier or tracer addition ===&lt;br /&gt;
&lt;br /&gt;
Due to the inherent nature of radionuclides yielding low concentrations a common technique to improve yields is the addition of carrier ions or tracers.  Isotope dilution involves the addition of a known amount of radionuclide tracer to the sample that contains a known stable element.  This is done at the start of the analysis procedure so once the final measurements are taken, sample loss is considered.  This procedure avoids the need for any quantitative recovery which greatly simplifies the analytical process. &lt;br /&gt;
&lt;br /&gt;
Carrier addition is the reverse technique of tracer addition.  Instead of isotope dilution, a known mass of stable carrier ion is added to radionuclide sample solution.  The carrier reagent must be calibrated prior to addition to the sample.  To verify the resultant measurements, the expected 100% yield is compared to the actual yield.  Any loss in yield is analogous to any losses in the radioactive sample.  Typically the amount of carrier added is conventionally selected for the ease of weighing such that the accuracy of the resultant weight is within 1%.  For alpha particles, special techniques must be applied to obtain the required thin sample sources.&lt;br /&gt;
&lt;br /&gt;
== Typical radionuclides of interest ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Commonly measured long lived cosmogenic isotopes&lt;br /&gt;
! [[chemical element|element]] !! [[atomic mass|mass]] !! [[half-life]] (years) !! typical source&lt;br /&gt;
|-&lt;br /&gt;
| [[helium]] || 3 || - stable - || air, water, and [[biota (ecology)|biota]] samples for [[bioassays]]&lt;br /&gt;
|-&lt;br /&gt;
| [[carbon]] || 14 || 5,730 || [[Radiocarbon dating|dating]] of organic matter, water&lt;br /&gt;
|-&lt;br /&gt;
| [[iron]]   || 55 || 2.7   || produced in iron and steel casings, vessels, or supports for nuclear weapons and reactors&lt;br /&gt;
|-&lt;br /&gt;
| [[Strontium]] || 90 || 28.8 || common fission product&lt;br /&gt;
|-&lt;br /&gt;
| [[Technetium]] || 99 || 214,000 || another common fission product&lt;br /&gt;
|-  &lt;br /&gt;
| [[iodine]] || 129 || 15.7 million || groundwater tracer&lt;br /&gt;
|-&lt;br /&gt;
| [[Cesium]] || 137 || 30.2 || nuclear weapons and nuclear reactors (accidents)&lt;br /&gt;
|-&lt;br /&gt;
|| [[Promethium]] || 147 || 2.62 || naturally occurring fission product&lt;br /&gt;
|- &lt;br /&gt;
| [[Radon]] || 226 ||  1,600 || rain and groundwater, atmosphere&lt;br /&gt;
|-&lt;br /&gt;
| [[Uranium]] || 232, 233, 234, 235, 236, 238 || Varies || terrestrial element&lt;br /&gt;
|-&lt;br /&gt;
|| [[Plutonium]] || 238, 239, 240, 241, 242 || Varies || nuclear weapons and reactors&lt;br /&gt;
|-&lt;br /&gt;
| [[Americium]] || 241 || 433 || result of neutron interactions with uranium and plutonium&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Quality assurance ==&lt;br /&gt;
&lt;br /&gt;
As this is an [[analytical chemistry]] technique [[quality control]] is an important factor to maintain.  A [[laboratory]] must produce trustworthy results.  This can be accomplished by a laboratories continual effort to maintain [[Scientific instrument|instrument]] [[calibration]], measurement reproducibility, and applicability of analytical methods.&amp;lt;ref&amp;gt;Khan, B. &#039;&#039;Radioanalytical Chemistry&#039;&#039;, 2007, Springer, 220-243.&amp;lt;/ref&amp;gt;  In all laboratories there must be a quality assurance plan.  This plan describes the quality system and procedures in place to obtain consistent results.  Such results must be authentic, appropriately documented, and technically defensible.&amp;quot; &amp;lt;ref&amp;gt;EPA. &#039;&#039;US Environmental Protection Agency Report 402-R-97-016&#039;&#039;, 2000, QA/G-4&amp;lt;/ref&amp;gt;  Such elements of quality assurance include organization, personnel training, laboratory operating procedures, procurement documents, chain of custody records, standard certificates, analytical records, standard procedures, QC sample analysis program and results, instrument testing and maintenance records, results of performance demonstration projects, results of data assessment, audit reports, and record retention policies.  &lt;br /&gt;
&lt;br /&gt;
The cost of quality assurance is continually on the rise but the benefits far outweigh this cost.  The average quality assurance workload was risen from 10% to a modern load of 20-30%. This heightened focus on quality assurance ensures that quality measurements that are reliable are achieved.  The cost of failure far outweighs the cost of prevention and appraisal.  Finally, results must be scientifically defensible by adhering to stringent regulations in the event of a lawsuit.&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Further reading==&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Chemical Analysis by Nuclear Methods&#039;&#039;&#039;, by Z.B. Alfassi&lt;br /&gt;
*&#039;&#039;&#039;Radioanalytical chemistry&#039;&#039;&#039; by J. Tölgyessy, &amp;amp; M. Kyrš.&lt;br /&gt;
*&#039;&#039;&#039;Nuclear analytical chemistry&#039;&#039;&#039; by J. Tölgyessy, Š. Varga and V. Kriváň. English translation: P. Tkáč.&lt;br /&gt;
&lt;br /&gt;
{{Analytical chemistry}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Chemistry]]&lt;br /&gt;
[[Category:Analytical chemistry]]&lt;br /&gt;
[[Category:Radiometric dating]]&lt;br /&gt;
[[Category:Environmental isotopes]]&lt;br /&gt;
[[Category:Radioactivity]]&lt;br /&gt;
[[Category:Nuclear technology]]&lt;br /&gt;
[[Category:Nuclear chemistry]]&lt;br /&gt;
[[Category:Quaternary]]&lt;br /&gt;
[[Category:Radiobiology]]&lt;/div&gt;</summary>
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