Off diagonal Spin-orbit coupling function \xi(R) R [A] xi(R) [cm-1] 2.0 28.747 3.0 25.907 4.0 25.270 5.0 31.935 6.0 24.819 7.0 13.271 8.0 -26.229 10.0 -4.042 15.0 0.000 20.0 0.000 Second order correction for the 6^1\Sigma state of KCs. R [A] q_\Sigma(R) [1/cm-1] 2.60 0.770 4.60 0.308 6.60 -1.861 8.50 -0.287 10.90 -0.218 30.50 0.0 Second order correction for the 4^3\Pi state of KCs. R [A] q_\Pi(R) [1/cm-1] 2.60 6.503 4.60 0.408 6.60 -0.441 8.50 -1.389 10.90 0.184 30.50 0.0