# How does a knife cut things at the atomic level?

As the title says. It is common sense that sharp things cut, but how do they work at the atomical level?

• My guess: to cut something, you need to break the chemical bonds, and therefore bring more energy than the binding energies. If you use a sharp blade, you concentrate the energy you bring on "a few" chemical bonds, and it's easier to break them. – anderstood Sep 5 '14 at 18:15
• A normal knife doesn't "cut", at all, at the atomic level. It simply puts so much pressure on the material locally, that it breaks or tears. Having said that, the physical explanation for what happens in detail when materials break is complicated and not fully understood, yet, so your question is perfectly valid. Actually, if you wanted to, you could make a career out of it as a solid state physicist or material scientist, because there is great importance in having materials that are harder to break or tear! – CuriousOne Sep 5 '14 at 18:41
• What CuriousOne said. At the atomic level, you can "break" stuff apart with lasers, magents and chemical reactions, but not with blades. – Renan Sep 5 '14 at 19:54
• @CuriousOne: not just that, but also stuff that breaks and tears in predictable ways. – Jerry Schirmer Sep 5 '14 at 20:59
• This is really a duplicate of What happens when we cut objects?, but lemon's answer is so much better than any of the answers to the previous question that I'm reluctant to vote to close. – John Rennie Sep 6 '14 at 10:10

For organic matter, such as bread and human skin, cutting is a straightforward process because cells/tissues/proteins/etc can be broken apart with relatively little energy. This is because organic matter is much more flexible and the molecules bind through weak intermolecular interactions such as hydrogen bonding and van der Waals forces.

For inorganic matter, however, it's much more complicated. I collaborate with a group who perform nanoindentation experiments on ceramics which involves forcing a nanoscopic tip into a material - essentially equivalent to cutting it with a knife. I've probed them on what's actually happening at the atomic level during these experiments and what 'hardness' means in this context, but they simply don't know.

Much of the insight that we do have actually comes from computer simulations. For instance, here is an image taken from a molecular dynamics study where they cut copper (blue) with different shaped blades (red):

In each case the blade penetrates the right side of the block and is dragged to the left. You can see the atoms amorphise in the immediate vicinity due to the high pressure and then deform around the blade. This is a basic answer to your question.

But there are some more complicated mechanisms at play. For a material to deform it must be able to generate dislocations that can then propagate through the material. Here is a much larger-scale ($10^7$ atoms) molecular dynamics simulation of a blade being dragged (to the left) along the surface of copper. The blue regions show the dislocations:

That blue ring that travels through the bulk along [10-1] is a dislocation loop.

If these dislocations encounter a grain boundary then it takes more energy to move them which makes the material harder. For this reason, many materials (such as metals, which are soft) are intentionally manufactured to be grainy.

There can also be some rather exotic mechanisms involved. Here is an image from a recent Nature paper in which a nano-tip is forced into calcite (a very hard but brittle material):

What's really interesting about it is that, initially, crystal twins form (visible in Stage 1) in order to dissipate the energy. This involves layers of the crystal changing their orientation to accommodate the strain.

In short: it's complicated but very interesting!

• These are excellent examples of why "cutting" is a complicated process on the atomic level. Thanks for the images, I hadn't seen those yet, but they are very instructive for the level of difficulty of this research. – CuriousOne Sep 5 '14 at 21:04
• Great answer, especially since it's your first one! – Brandon Enright Sep 5 '14 at 21:33
• OK thanks. So in the case of organic matter, one actually breaks the binds, which is possible because they are quite weak, is that it? And for inorganic matter it too hard to break so other phenomena appear (dislocations, change of shape, etc.)? (just wondering) – anderstood Sep 5 '14 at 23:05
• @anderstood That's exactly right. An extra tidbit: if you add organic molecules to an inorganic crystal (to create an organic-inorganic hybrid - a very important class of nanomaterial) then you typically make the material softer because, after all, 'a chain is only as strong as its weakest link'. Although very little is known about the actual atomic mechanisms involved in deforming such hybrid materials. – lemon Sep 5 '14 at 23:23
• Holy molly what a great answer. This is why I love this website. – ja72 Sep 8 '14 at 13:49

It depends on what's being cut.

When metal is cut, what happens is that, on a small or not so small scale, it shears. That means layers slide over each other. The mechanism by which they slide over each other is that there are imperfections in the crystal structure called dislocations, and the crystal layers can move by making the dislocations move in the other direction.

You can visualize this with a zipper on a jacket. Suppose the zipper is all zipped up, except for a little bulge where N teeth on one side and N+1 teeth on the other side are not locked together, and suppose this bulge can be moved, by locking teeth together at one end while separating them at the other end.

If the bulge is allowed to travel the entire length of the zipper, then teeth that were originally locked together are now locked with the neighboring tooth. That's how layers in a crystal can slide over each other - by the little bulges traveling fast in the other direction.

A way to make a metal (or any crystalline material) hard, and thus resistant to cutting, is to arrange it so it either has no dislocations, or the dislocations it has are "pinned" so they cannot move.

• Nice zipper analogy – electronpusher May 26 at 11:24

A sharp knife is still several molecules thick on the edge; dull blades are even wider. So when you attempt to cut material, it needs to be ripped apart. As explained in other answers, the material either fractures along faults in the lattice, or you separate molecules (as when you cut bread).

The only materials where you might split chemical bonds are vulcanized rubber and polymers. In theory, a mining truck tire is one molecule.

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