Topological atomic precision

With atomic precision one refers to structures where the positions of all the included atoms are known in a topological sense meaning one knows which atom connect with which.

An atomically precise structure may well be floppy such that thermal movement makes the actual positions of the atoms completely unknown. Many base structures for self assembly (in technology level 0 and technology level I) are examples for floppy AP structures e.g. short DNA half strands (oglionucleotides).

In technology level I whole sturdy structures out of sturdy AP-building blocks are assembled in a digital fashion. Calling the technology block precise is thus a more fitting term there.

In technology level II and technology level III diamondoid materials are the main building material. They allow not only the topological position but also the position in three dimensional space to be known. This makes design and reasoning easier and equally important the creation of structures with higher performance and similar efficiency possible (superlubricating interfaces). Direct mechanosynthetic fabrication of AP structures one atom or moiety at a time is only possible with them. Thermal expansion or bending through external forces can spoil atomic precision in 3D space over great distances. This isn't a problem in nanofactories where relative distances between (sturdy) AP workpieces and (sturdy) AP tooltips are microscopic.

Atoms do roughly behave like a construction set with elastic linkages only if the right set of atoms is chosen. Metals with their undirected bonding tend to diffuse at room temperature destroying topological order and thus often do not preserve AP making them unsuitable for nanomachinery.