
Nobody Can Predict a Smell
Hand a chemist a molecule no one has ever smelled. They cannot tell you what it smells like. Neither can you, and in a moment you will prove it.
Chemistry can tell you a molecule's boiling point, its solubility, its colour and its toxicity from structure alone. It cannot tell you what it smells like. After a century of structure-odour research, two Nobel Prizes, a contested heresy about quantum vibration, and a neural network that now labels odours better than the median trained panelist, the central question of the field remains open: we still have no theory that gets you from a drawing of a molecule to the experience of smelling it. This essay is about why that is genuinely hard, and about what it means to work in a craft whose physics has not yet been written.
Every other sense has been reduced. Light is wavelength, and we can tell you exactly which one looks red. Sound is frequency, and we can name the note before it is played. Both were solved centuries ago, and both are so thoroughly solved that we build screens and instruments on top of them without thinking.
Smell has no such axis. There is no dial that runs from one end of odour to the other. You cannot say that jasmine is at 480 nanometres and vetiver at 620. Two molecules that look nearly identical on paper can smell like completely different things, and two molecules with nothing structurally in common can smell almost the same. The relationship between the shape of a thing and the experience of smelling it is, in the technical sense, not understood.
Perfumery has been operating for a hundred and fifty years inside that gap. Every material in a perfumer's cabinet had to be smelled by somebody to find out what it was. Not deduced. Smelled.
Before the argument, a test.
Five questions. No chemistry required, and being a chemist will not help you much. Each one is a real, settled fact about a real molecule. The point of this is not to catch you out; it is that the essay is much more convincing after you have failed it.
If you scored well, you have read a lot of perfumery. You still did not predict anything: you remembered it. That distinction is the whole essay.
We do not even agree how many smells there are.
For most of the twentieth century the received figure was that a human being can distinguish around ten thousand odours. It appeared in textbooks, in Nobel documentation, in every popular article on the subject. Nobody could quite say where it came from.
In 2014 a group at Rockefeller tested it properly, using mixtures of thirty components, and calculated that the real number is at least one trillion. The figure went around the world. Then two separate critiques argued the mathematics did not support the claim, that the same method applied to vision or hearing would produce equally absurd numbers, and that the honest answer is that the question as posed may not have a determinate answer at all.
Hold that in mind, because it sets the tone for everything below. This is a field where the most basic quantitative question, how many things can this sense tell apart, is still argued over in the pages of major journals. Compare that to vision, where nobody is unsure how many colours there are.
Lock and key, and where the key stops working.
The orthodox account is shape. An odorant molecule reaches a receptor protein in the nose, and if the shape and chemistry fit, the receptor fires. This is the same lock-and-key logic that runs most of biochemistry, and it is broadly correct.
It is also, as a predictive tool, weak. The evidence is a set of well-known embarrassments that every perfumery chemist can recite.
Tiny change, total change
Vanillin is the smell of vanilla at vanishingly small concentrations. Move one substituent around the ring to make isovanillin and the smell largely collapses. A single atom moved, and the percept is gone.
Same molecule, different smell
The two enantiomers of carvone are identical in every bond, weight and formula, and are mirror images of one another. One is spearmint. The other is caraway. Handedness alone changes the experience.
Different molecules, same smell
Musk is produced by at least four structurally unrelated families: macrocyclic, nitro, polycyclic and alicyclic. Nothing in their shapes explains why they converge on one percept.
Nothing has its own receptor.
In 1991 Linda Buck and Richard Axel found the gene family behind olfaction, work that took the Nobel Prize in 2004. Roughly a thousand genes, about three percent of all our genes, of which around four hundred are still functional in humans. The rest have decayed, which is a quiet statement about what our species stopped needing.
The important finding was not the count. It was the logic. Each olfactory neuron expresses one receptor type. Each odorant activates several different receptors, weakly or strongly. Each receptor responds to many different odorants. So no molecule has a dedicated detector, and identity is carried by the pattern across the whole array, the way a word is carried by letters that individually mean nothing.
This explains a great deal. It explains why smells blend rather than stack, since two odorants that share receptors produce a pattern belonging to neither. It explains why concentration changes identity, because at higher doses more receptors recruit and the pattern is literally a different pattern. And it explains why prediction is so hard: to predict a smell from a structure you would need to predict roughly four hundred binding affinities at once, and then know how the brain reads that array. We can barely do the first half for one receptor.
Every material in the cabinet had to be smelled by somebody to find out what it was. Not deduced. Smelled.
The man who said the nose is a spectrometer.
In the 1990s the biophysicist Luca Turin, who is also one of the most gifted perfume writers alive, proposed something else. Not shape, or not only shape: vibration. Chemical bonds vibrate at characteristic frequencies, and Turin argued the receptor works by inelastic electron tunnelling, effectively reading a molecule's vibrational spectrum. It would explain the convergence problem elegantly, since unrelated structures sharing a vibrational signature would share a smell.
The theory made a testable prediction, which is to its credit. Replace hydrogen with deuterium and you change the vibrational frequencies while leaving the shape essentially untouched. If vibration matters, the deuterated version should smell different.
In 2004 Andreas Keller and Leslie Vosshall at Rockefeller ran that test on untrained subjects with acetophenone and its deuterated twin. The subjects could not reliably tell them apart. In 2013 Turin and colleagues reported that people could distinguish deuterated musks. In 2015 a group led by Eric Block tested the mechanism directly at the receptor level, on a human musk receptor and a mouse thiol receptor, found no vibrational discrimination, and argued the earlier result was confounded by an impurity. Turin's group replied. The exchange continues, and the mainstream position is that vibration theory is implausible.
And that is only for one molecule, on its own, at one dose.
Suppose the structure-to-percept problem were solved tomorrow for single molecules in isolation. Perfumery would still be waiting, because almost nothing about real smelling is single, isolated or fixed.
Mixtures are not sums. Combine two odorants and you frequently get a third thing, with one masking the other, or both disappearing into an accord that resembles neither. There is no reliable arithmetic for this, which is precisely why perfumers still work by trial.
Concentration changes identity, not just volume. Indole is the standard demonstration: floral and warm in trace, unmistakably faecal in quantity. The same is true of civet, of costus, of several thiols. A model that predicts the smell of a molecule has already assumed away a variable that does most of the work.
The nose is not a stable instrument. It adapts within minutes, it varies genetically between people to the point where some readers cannot smell entire categories, it is influenced by expectation and by what the thing is called, and it is different in the morning than at night. There is no fixed detector to predict against.
And the target is a report, not a signal. When we say a prediction is correct we mean a trained human agreed with a word. The ground truth of this entire field is a panel of people using vocabulary, which is a soft target compared to a wavelength.
And yet, in 2023, something started predicting anyway.
Here is where the title of this essay has to be qualified, honestly and at length, because something significant happened recently.
A team led by Alexander Wiltschko, working initially at Google and later at the company Osmo, trained a message-passing graph neural network on a combined industry dataset of a few thousand molecules labelled with professional odour descriptors. Rather than predicting labels directly, the model learned an internal representation, which they called a principal odor map: a space in which nearness means smelling alike.
Then they did the thing that makes it real science. They took four hundred molecules the model had never seen, had a trained human panel describe them, and compared. Published in Science in 2023, the result was that the model's odour profile matched the panel mean more closely than the median individual panelist did. They went on to map the predicted odour of around half a million molecules that no human has ever smelled.
So it is now fair to say that a machine can predict how a trained panel will describe a novel molecule, better than a typical member of that panel. That is a genuine and important result, and anybody writing about this subject who leaves it out is writing propaganda.
A map is not a theory.
What the model does not have is an explanation. It is a learned function: it maps structures to descriptor probabilities without offering any account of why. Ask it why that molecule is woody and there is no answer inside it beyond a very large number of weights. This is the same situation as a language model that writes fluent prose without a theory of meaning. Extremely useful. Not understanding.
The other limits are practical and they are the ones that matter at a bench.
It predicts labels, not experience. Its target is the words a panel chooses. It will tell you a molecule reads as woody. It will not tell you whether it is beautiful, whether it is cheap-smelling, whether it will feel dated in five years, or whether it does that thing where a material makes everything around it look more expensive.
Mixtures remain largely unsolved. The map is built on single molecules. A perfume is fifteen to two hundred of them interacting, and the combinatorics of that are not addressed by knowing where each component sits.
It cannot tell you what to make. Prediction is not composition, in the same way that a spell checker is not a novelist. Knowing that a molecule will read as woody is the beginning of the perfumer's problem, not the end of it.
We built something that can guess the answer before we worked out the question.
What an unsolved science does to a craft.
All of this has a very concrete consequence, and it is the reason a perfume house should care about a receptor paper.
Because there is no predictive theory, perfumery cannot be done by calculation. It has to be done by smelling, repeatedly, and remembering. The training method a perfumer goes through, years of two-material accords in graded proportions, is not tradition or hazing. It is the only available method for a domain where the map has to be built inside a person, one comparison at a time, because no textbook can hand it over.
It also means the field advances the way cooking does rather than the way chemistry does: by accumulated craft knowledge that works reliably and is only partly explained. A perfumer knows that a certain material at a certain dose will make a rose feel more expensive. Nobody can derive that from first principles. It is true anyway.
And it means the discipline has a permanent humility built into it. Every material in the cabinet is a small empirical finding that someone had to make with their face. Every formula is a hypothesis tested by the only instrument that works, which is a human being paying attention.
The last sense we have not solved.
There is a reason we keep returning to this. If smell had been reduced to a number, the way colour was, then a fragrance would be a specification and a house would be a factory. It has not been. The gap between the structure on the page and the experience in the room is where this entire craft lives, and it has stayed open for a century of very serious people trying to close it.
We would go further. That gap is not an embarrassment to be engineered away; it is closely related to why the sense matters to us at all. Smell is the one channel that reaches memory and feeling before it reaches language, which is exactly why it resists being written down. A thing that could be fully specified in advance would probably not be able to ambush you in a doorway twenty years later.
A machine can now guess the word a panel will use. Nobody can yet tell you why a smell makes you turn around. We are not in a hurry for that to be solved.
The other two halves.
Headspace
If we cannot predict a smell, we can at least record one. The glass bell that captured the scent of a living flower without picking it, and the flowers that have never been anything but a reconstruction.
The Vat and the Hillside
Engineered yeast now makes a patchouli molecule from sugar, and the rules let you call it natural. What that does to twenty million farmers, and to the argument this house has been making.
- Combinatorial receptor coding, the receptor gene family and the 2004 Nobel: The Nobel Prize in Physiology or Medicine 2004; Malnic, Hirono, Sato and Buck, Combinatorial receptor codes for odors, Cell; Odorant receptors, The Neurobiology of Olfaction.
- The principal odor map and its prospective validation: Lee et al., A principal odor map unifies diverse tasks in olfactory perception, Science 381, 2023; open access version; This neural net maps molecules to aromas, IEEE Spectrum.
- Vibration theory and the tests against it: Vibration theory of olfaction; Block et al., Implausibility of the vibrational theory of olfaction, PNAS 2015; Turin et al., reply; Rockefeller on the 2004 Keller and Vosshall test.
- Related reading in this journal: The Shape of Smell, Why You Stop Smelling Your Own Perfume and What a Formula Actually Looks Like.