Functional micromechanical assembly

A functional micromechanical timepiece assembly comprising:

• at least a first component including at least a first face, the at least first face being coated with a first layer defining a first contact surface configured to come into friction contact with a second contact surface defined by a second layer coating at least a second face, either of the first component or at least a second micromechanical timepiece component forming the assembly with the first component,
• wherein the first and second layers each include carbon with at least 50% carbon atoms, the first contact surface has a first determined crystalline plane orientation, the second contact surface has a second determined crystalline plane orientation, and the first and second determined orientations are different from each other, and
• wherein, at least on the first contact surface, crystalline planes of the first layer belong to a family of planes {111}, at least on the second contact surface, crystalline planes of the second layer belong to a family of planes {100}, a mean direction of the crystalline planes of the first layer belonging to the family of planes {111} and a mean direction of the crystalline planes of the second layer belonging to the family of planes {100} form a first angle between 10° and 70°.