Lesson 7 - Oregon State Universityoregonstate.edu/instruct/ch374/ch418518/lesson7.pdf ·...
Transcript of Lesson 7 - Oregon State Universityoregonstate.edu/instruct/ch374/ch418518/lesson7.pdf ·...
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Lesson 7
Alpha Decay
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Alpha decay (α)
• Decay by the emission of doublycharged helium nuclei 4He2+.
• 238U→234Th + 4He• ΔZ = -2, ΔN=-2, ΔA=-4• All nuclei with Z≥83 decay by α-decay
as do some rare earth nuclei.Alphadecay is also known in the 100Sn region.
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Alpha Decay• The emitted α-particles are
monoenergetic,ranging in energy from 1.8-11.6MeV (typically 4-9 MeV).
• They can be stopped by a piece of paper andare thus an internal radiation hazard ratherthan an external hazard.
• The naturally occurring α-emitters form longseries of nuclei that decay to one another.Some of these naturally occurring decaysseries involve isotopes of Rn, a gas.
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Important Features ofAlpha Decay
• Generally energy of decay increaseswith increasing Z, but in any case theenergy of the emitted α-particle is lessthan the Coulomb barrier for the α-nucleus interaction.
• For e-e nuclei, decay leads to gs ofdaughter. For odd A nuclei, decay isnot to the gs but a low-lying excitedstate.
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Energetics of Alpha Decay
• Qalpha
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Energetics of Alpha Decay(cont.)
• Qalpha --Generally increases with increasing Z, but issubject to shell effects.
N=152-154Z=82, N=126
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Qα, Tα
!
Q" = (Mparent #Mdaughter #Malpha )c2
T" =Q"
Mdaughter
Mparent
Trecoil =Q"
Malpha
Mparent
Difference between detecting emitted alpha particle and detecting alpha from implanted atom.
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Closed decay cycles
Used to measure unknown masses or Q values forbeta decay
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Understanding naturalalpha-decay chains
• In the U natural decay series, see pattern ofmixed alpha and beta decays. Why?
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Understanding Alpha Decay
• The problem:
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Understanding AlphaDecay (cont.)
• The Geiger Nuttall Law
!
log(t1/ 2) = A +B
Q"
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Theory of Alpha Decay
• One of the first successes ofquantum mechanics
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!
" = fT
f =v
2R=
2(V0
+Q) /µ
2R~ 10
21/s
T # e$2G
2G =2
h2m(V (x) $ E[ ]
1/ 2dx
x1
x2
%
2G =2
h2µ(
Z&ZDe2
r$Q& )
'
( )
*
+ ,
1/ 2
drR
b
%
b =Z&ZDe
2
Q&
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After some algebra and simplifying for the nuclear case
!
2G = 22µ
h2Q"
Z"ZDe2( )#
2
$
% &
'
( ) ~ 60 *120
T ~ 10*55 *10*27
Then
!
t1/ 2
=ln2
"=ln2
fT=
ln2
2 V0
+Q#( ) /µ[ ]1/ 2
2Re$2G
This is called the “one-body” theory of alpha decay
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How well does one-bodytheory work?
Role of “pre-formation factor”
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Effect of angularmomentum
Selection Rules
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Which states of daughter arepopulated in alpha decay?
• Dominant effect is Qα
• Angular momentum effectAngular momentum =
!
l
Parity = (-1)
!
l
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Hindrance FactorsHindrance Factor=t1/2(meas)/t1/2(one-body)
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Proton Decay• Same theory as alpha decay, except no pre-
formation factor for protons• Where do you expect to see proton decay?
(Sp=0)
proton dripline
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Proton Decay(cont.)
• Proton energies are low andtransmission factors are small.
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Proton Decay(cont.)• Alpha decay complicates measurements
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Heavy Particle Decay• What about emitting particles other than
alphas or protons?
Q12C