If you’ve been paying attention, you may have seen that the countdown clock to “The Poxes” is almost there. It will reach zero time on Sunday, October 23, at one minute past midnight that morning. Why did I pick that date?

I picked that date because it is “10.23” a date in which people in different parts of the world point out the scientific inaccuracies of the homeopathic remedies sold as cures to all sorts of things. Why 10 23? Because Avogadro’s number is a constant which establishes that there can only be 6.022 times 10 raised to the 23rd power (6022 followed by 20 zeroes) atoms or molecules of something in a mole of that something. It’s a pretty big number, but you can see how diluting something by 100 two hundred times can wipe out even that many molecules. An example? Keep reading.

From the periodic table of elements we see that glucose (made up of six carbons, twelve hydrogens, and six oxygens) has a molecular weight of about 180 grams per mole. That is, 6.022×10^23 molecules of glucose weigh 180 grams. So let’s take those 180 grams and put them in a liter of water (1000 milliliters). Now, like any good homeopath, let’s take that initial solution and make a “200C” homeopathic remedy.

The “C” in “200C” stands for a dilution of 1 to 100. So “200C” means that the solution is diluted 1 to 100 two-hundred times. So we start with a 180g per liter solution. Dilute that by 100 the first (of 200) time, and we have a 1.8g per liter solution. Dilute it the second (of 200) time and we have 0.018g per liter. The third time? 0.0018g per liter. But let’s just stop and look at what’s happening at the mole of glucose.

The mole of glucose we started with in one liter was 6.022×10^23 molecules. There were that many molecules of glucose, remember? After the first dilution, there were 6.022×10^21 molecules. Second dilution? 6.022×10^19. After the third, there were 6.022×10^17. Can you see where this is going?

As we continue to dilute our homeopathic remedy, we are adding two zeroes immediately to the right of the decimal point in terms of grams per liter. In terms of moles, we are subtracting two powers of ten from the exponent (ten times ten is one-hundred, get it?). In both cases, if we go through to the 200th dilution of 1 to 100 parts, we’re going to A) have a whole bunch of zeroes to the right of the decimal point (400 zeroes, in fact), and B) run out of exponents of the moles.

It’s B that really brings the message home. Why? Because 0.0…198 zeroes here…018 grams per liter equals less than one molecule per liter left. What’s less than one molecule? No molecules. (You can’t split a glucose molecule and still call it “glucose”.) That’s right. If you dilute a mole of glucose (180 grams) – or anything else in the known universe – to a “200C” solution for homeopathic treatment, you end up with no chance of even one single molecule left in the final dilution.

No chance… Well, okay, there’s a chance, but it’s small. I’m talking really, really small. How small? Let’s say that we have the ability to fill the universe with lottery balls. You can pick one ball. What is the chance that the winning ball will be yours if we have the entire universe to pick from? Yeah, it’s that small.

And what does one goddamn molecule of anything do, anyway?

So how does homeopathy “work”? It doesn’t. But the charlatans that push it will still tell you fantastic stories of how water “remembers” what’s been in it. So, even with no molecules left, the water in the 200C remedy will remember that it once had whatever you dissolved into it. Yes, you guessed it, there is no evidence of this claim. (In fact, if it were true, then water would remember all sorts of nasty things it’s been in contact with… Like feces.)

What if you add more than one mole to the initial solution? Is there an amount of moles you can add to still have at least one molecule left at the end? Yes, there is. But that number is so large (6.022×10^23 multiplied by 180 grams, in our example), that you’re diluting the water in the solution, not the “active ingredient”.

In “The Poxes”, you will meet two very skeptical characters. One is skeptical by nature, because he is always questioning the universe around him, a true scientist. The other is skeptical out of spite. A homeopath did something very, very bad to him earlier in his life. So the second character has an axe to pick with questionable medical practices. You’ll get to meet them on 10-23. I hope you join me.

Wot Todd said. Simple, clear, concise. This should be taught in school chemistry classes.

Very nice explanation of why Avogadro's number is important when discussing homeopathy. Makes it much easier to understand.