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4. For each of the following possible reactions, all of which create the compound nucleus 7Li, '7Li + n 6Li + 'Y t-.) -In + 6Li --+ 7Li* --+ 6He+ p 5He+ d
3H+a calculate (a) the Q-value, (b) the kinematic threshold energy, and (c) the minimum kinetic energy of the products. Summarize your calculations in a table. --- Solution:
For a binary, two- product reaction x + X --+ y + Y we use the following results from Ch. 6. (a) The Q-value is obtained from Eq. (6.6), Q = (Mx + Mx -My -My)c2, and the atomic massesin Ap. B. (b) The kinematic and Coulombicthreshold energiesare obtained from Eq. (6.15) (neededwhen Q < 0) and from Eq. (6.19) (neededwhen x and X are both charged particles). Ex ~ -1 th ( +~ mx )Q and ZxZX Ec ~ 1.2Ax 1/3+ A xl/3 x . (c) The minimum KE of the products is (Ey + EY)min = Q + (E;h)mino Results are tabulated below. Reaction 6Li(n,-y)7Li 6Li(n,n)6Li 6Li(n,p)6He 6Li(n,d)5He 6Li(n,t)4He Q (MeV)
EC x 0 0 0 0 0 Eth x 0 0 condition none none Ex> 3.179 Ex> 2.755 none (Ey + EY)min 7.250
-2.725 -2.361 3.179 2.755
0 4.783 0.454 0.394 4.783 July 24, 2002 ...
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This note was uploaded on 02/01/2010 for the course ECE 4130 taught by Professor Cady during the Spring '06 term at Cornell University (Engineering School).
- Spring '06