Coulomb wave function - Revision history

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en>Mark viking: /* Coulomb wave equation */ Added wl

2013-09-06T22:46:09Z

Coulomb wave equation: Added wl

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We basically ɦappen to bе~~ in ~~a consumable timе in which yoս want [http://kennelclassifieds~~.~~com/author/gehargis/ vigrx plus yahoo reviews] a ɡreater portіon of everythіng that is accessible to us and also this includes items that are poor~~. ~~Mɑintain your diet regime healthy and try and get a good night's rest~~.~~<br><br>Consider acquirіng a good friend to deteгmine along with you~~. ~~Good friends might help stimulate and give you support~~, ~~geneгating is simpler to attain your objeсtiѵes~~.<br><br>To be able to conserve ɑ hеaltɦful system, it's crucial that you have reliable nutrition. Oսt of your feet to your head, уou need to get thesе vitamins and minerals and ɑlso hardwearing . system in excellent operating order. Take advantage of the earlier mentioned idеas to make sure you are receiving all the nutrients and vitamins you will neеd.		In [[nuclear physics]], '''transient equilibrium''' is a situation in which equilibrium is reached by a parent-daughter [[radioactive]] [[isotope]] pair where the half-life of the daughter is shorter than the half-life of the parent. Contrary to [[secular equilibrium]], the half-life of the daughter is not negligible compared to parent's half-life. An example of this is a molybdenum-99 generator producing technetium-99 for [[nuclear medicine]] diagnostic procedures. Such a generator is sometimes called a '' cow '' because the daughter product, in this case technetium-99, is milked at regular intervals.<ref>[http://web.ead.anl.gov/marssim/acrogloss/dsp_wordpopup.cfm?word_id=504 transient equilibrium<!-- Bot generated title -->] {{dead link\|date=June 2013}}</ref> Transient equilibrium occurs after four half-lives, on average.

			==Activity in transient equilibrium==
			The activity of the daughter is given by the Bateman equation:

			:<math>A_d = ([A_P(0)\frac{\lambda_d}{\lambda_d-\lambda_P} \times (e^{-\lambda_Pt}-e^{-\lambda_dt})] \times BR ) + A_d(0)e^{-\lambda_dt}</math>,

			where <math>A_P</math> and <math>A_d</math> are the activity of the parent and daughter, respectively. <math>T_P</math> and <math>T_d</math> are the half-lives of the parent and daughter, respectively, and BR is the [[branching ratio]].

			In transient equilibrium, the Bateman equation cannot be simplified by assuming the daughter's half-life is negligible compared to the parent's half-life. The ratio of daughter-to-parent activity is given by:

			:<math>\frac{A_d}{A_P} = \frac{T_P}{T_P-T_d} \times BR</math>.

			==Time of maximum daughter activity==
			In transient equilibrium, the daughter activity increases and eventually reaches a maximum value that can exceed the parent activity. The time of maximum activity is given by:

			:<math>t_{max} = \frac{1.44 \times T_P T_d}{T_P-T_d} \times ln(T_P/T_d)</math>,

			where <math>T_P</math> and <math>T_d</math> are the half-lives of the parent and daughter, respectively. In the case of <math>^{99m}Tc</math>-<math>^{99}Mo</math> generator, the time of maximum activity (<math>t_{max}</math>) is approximately 24 hours which makes it convenient for medical use.
			<ref name=brm>{{cite book
			\|title=Physics in Nuclear Medicine
			\|author=S.R. Cherry, J.A. Sorenson, M.E. Phelps
			\|publisher=A Saunders Title; 3 edition
			\|year=2003
			\|isbn=0-7216-8341-X
			}}</ref>

			==See also==
			* [[Bateman Equation]]
			* [[Secular equilibrium]]

			==References==
			<references/>

			[[Category:Radioactivity]]


			{{physics-stub}}

134.176.16.30 at 14:19, 7 September 2011

2011-09-07T14:19:17Z

New page

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