Later, it was essentially replaced by two new methods, PM3 and AM1, which are similar but have different parameterisation methods.
The extension by W. Thiel's group, called MNDO/d, which adds d functions, is widely used for organometallic compounds. It is included in GAMESS (UK).
MNDOC, also from W. Thiel's group, explicitly adds correlation effects though second order perturbation theory with the parameters fitted to experiment from the correlated calculation. In this way, the method should give better results for systems where correlation is particularly important and different from that in the ground state molecules from the MNDO training set. This includes excited states and transition states. However, Cramer argues that "the model has not been compared to other NDDO models to the extent required to assess whether the formalism fulfills its potential."
References
MNDO
Dewar, Michael J. S.; Thiel, Walter (1977). "Ground states of molecules. 38. The MNDO method. Approximations and parameters". Journal of the American Chemical Society. 99 (15): 4899. doi:10.1021/ja00457a004.
MNDO/d
Thiel, Walter; Voityuk, Alexander A. (1996). "Extension of MNDO to d Orbitals: Parameters and Results for the Second-Row Elements and for the Zinc Group". Journal of Physical Chemistry. 100 (2): 616. doi:10.1021/jp952148o. hdl:11858/00-001M-0000-0027-C145-2.
Thiel, Walter (1996). "Perspectives on Semiempirical Molecular Orbital Theory". Advances in Chemical Physics. Advances in Chemical Physics. Vol. 93. pp. 703–757. doi:10.1002/9780470141526.ch10. ISBN978-0-470-14152-6.
Thiel, Walter (1981). "The MNDOC method, a correlated version of the MNDO model". Journal of the American Chemical Society. 103 (6): 1413–1420. doi:10.1021/ja00396a021.
Thiel, Walter (1981). "MNDOC study of reactive intermediates and transition states". Journal of the American Chemical Society. 103 (6): 1420–1425. doi:10.1021/ja00396a022.
Schweig, Armin; Thiel, Walter (1981). "MNDOC study of excited states". Journal of the American Chemical Society. 103 (6): 1425. doi:10.1021/ja00396a023.