Dear Muhammad Chhattal sorry to see that your very interesting technical question has not yet received any expert answers. Apparently the finding that MXenes could be used as solid lubricants is fairly new. For example, please have a look at the following potentially useful links:
Up to my knowledge, 2D MXenes where X is N lubrication properties has not been investigated yet. But, I think 2D MXenes Carbides could have the best properties since they contribute to produce graphitic Carbone into the tribofilm once they're oxidized. Graphite is known to possess excellent lubrication properties. However, it's impossible to be sure without proper experiments.
Abdessabour Benamor Thank you for the answer, additionally, another question, How about TM nitrides, Do you have any idea that either they can be a good solid/ additive lubricant?
2D MXenes in general have potentials to be good solid lubricants or additives in oil, which is documented because of their easy shear 2D shape. However, surface functionalization of MXenes controls their degrees of lubrication because of a wrikling phenomena caused by these surface termination which in my opinion will provide you low wear rate with higher friction coefficient. Thus, many factors could be responsible of wear or friction enhancement, and only experimental work with good characterization will get us the truth. About TMN MXenes, I think you need to focus on M element, up to now I think Zr, Ti, V, Nb could all be synthesized as M element in Mn+1Nn MXenes. Please see the paper in this link : https://doi.org/10.1023/A:1019183101329
This paper reports a chemical model of predicting the frictional behavior of some combined oxides, you can predict which oxides you'll have as your third layer during sliding experiments, and based on this model you'll probably have better vision on which MXene you choose. But you need to keep in mind that tribology is a complexe area that can not be predicted accurately especially when testing new materials such as MAX or MXenes, So everything is possible.