Study of excited electronic states of the $^{39}$KCs molecule correlated with the K($4^2$S)+Cs($5^2$D) asymptote: experiment and theoryā€¯ J. Szczepkowski, A. Grochola, W. Jastrzebski, P. Kowalczyk, R. Vexiau, N. Bouloufa-Maafa, O. Dulieu Supplementary materials ---------------------------------- Spin-orbit coupling matrix elements for the subspace of states with projection of the total electronic angular momentum $\Omega=1$. The offdiagonal matrix elements for (3)^1Pi and (3)^3Pi states R[A] SO [cm^-1] ---------------------------------- 3.3867 -10.886 3.5455 -11.885 3.7042 -12.228 3.8630 -12.461 4.0217 -12.803 4.1805 -13.232 4.3393 -13.741 4.4980 -14.306 4.6568 -14.895 4.8155 -15.471 4.9743 -15.928 5.1330 -16.170 5.2918 -16.161 5.4505 -15.954 5.6093 -15.625 5.7680 -15.258 5.9268 -14.923 6.0855 -14.661 6.2443 -14.490 6.4030 -14.423 6.5618 -14.456 6.7206 -14.576 6.8793 -14.773 7.0381 -15.033 7.1968 -15.342 7.3556 -15.686 7.5143 -16.047 7.6731 -16.412 7.8318 -16.765 7.9906 -17.098 8.1493 -17.404 8.3081 -17.678 8.4668 -17.921 8.6256 -18.133 8.7843 -18.317 8.9431 -18.475 9.1018 -18.611 9.2606 -18.728 9.4194 -18.828 9.5781 -18.914 9.7369 -18.987 9.8956 -19.051 10.054 -19.106 10.213 -19.153 10.372 -19.194 10.531 -19.230 10.689 -19.262 10.848 -19.289 11.007 -19.313 11.166 -19.334 11.324 -19.353 11.483 -19.369 11.642 -19.384 11.801 -19.396 11.959 -19.408 12.118 -19.418 12.277 -19.427 12.436 -19.435 12.594 -19.443 12.753 -19.449 12.912 -19.455 13.071 -19.461 13.229 -19.465 13.388 -19.470 13.547 -19.474 13.706 -19.477 13.864 -19.480 14.023 -19.483 14.182 -19.486 14.341 -19.488 14.499 -19.490 14.658 -19.492 14.817 -19.494 14.976 -19.496 15.134 -19.497 15.293 -19.499 15.452 -19.500 15.611 -19.501 15.769 -19.502 15.928 -19.503 16.087 -19.504 16.246 -19.505 16.404 -19.506 16.563 -19.506 16.722 -19.507 16.881 -19.508 17.040 -19.508 17.198 -19.509 17.357 -19.509 17.516 -19.510 17.675 -19.510 17.833 -19.510 17.992 -19.511 18.151 -19.511 18.310 -19.511 18.468 -19.512 18.627 -19.512 18.786 -19.512 18.945 -19.512 19.103 -19.513 19.262 -19.513 19.421 -19.513 19.580 -19.513 19.738 -19.513 19.897 -19.513 20.056 -19.514 20.215 -19.514 20.373 -19.514 20.532 -19.514 20.691 -19.514 20.850 -19.514 21.008 -19.514 21.167 -19.514 21.326 -19.514 21.485 -19.515 21.643 -19.515 21.802 -19.515 21.961 -19.515 22.120 -19.515 22.278 -19.515 22.437 -19.515 22.596 -19.515 22.755 -19.515 22.913 -19.515 23.072 -19.515 23.231 -19.515 23.390 -19.515 23.548 -19.515 23.707 -19.515