126 



BACASTOW AND KEELING 



/;' are distinguished from kj and /; by having the dimensions of k X C/(inactive 

 carbon) rather than of k. As defined earlier, 7 is the industrial production rate of 

 inactive carbon in the atmosphere, and *7 is a perturbation from steady-state 

 14 C production due to a heliomagnetic effect correlated with sunspots. The 

 latter is evaluated by the relation 



f i = *r 



Q 2 (Sq -s) 

 Qi - Q 2 S 



(C.25) 



where S is the number of sunspots with long-term mean value So = 44.89, and 

 Qi and Q 2 are constants determined by Lingenfelter 4 l 



Qi = 2.64 



Q 2 = 0.00297 



The perturbation equations for inactive carbon have the general form 



(dr. + ? k ij) m- L kjirij 



7i 



(C.26) 



where the sums are over j = 1 to 6 excluding j = i, and the source term, 7;, is 

 nonzero only for the lower atmosphere. In matrix notation 



1 dn v 



I — + K n = 7 



dt 



(C.27) 



For radiocarbon the equations have the same general form except that they 

 include virtual sources. Again in matrix notation 



(-r^ + *A*n J+ *K*n + K' n - *7 



(C.28) 



when I = the identity matrix and K'n denotes the virtual source vector. 

 Specifically 



n =< 



% 



(C.29) 



'm 



Ud 



