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Science explainedUpdated 2 September 2026

What does 30C mean in homeopathy? The dilution maths, plainly

Thirty-C is one of homeopathy’s most recognised labels. This visual, plain-English explanation separates the preparation convention from the scientific debate.

Research notes and source material arranged for a scientific explainer

The direct answer

In brief

A 30C preparation conventionally involves thirty 1-in-100 dilution steps, with shaking at each stage. The resulting nominal dilution is 1 in 10^60, which is why 30C sits at the centre of scientific arguments about homeopathy.

Key takeaways

  • The C scale means each dilution step is one part in one hundred.
  • Thirty C corresponds to a nominal dilution factor of 10^60.
  • Homeopathic theory assigns importance to serial dilution and shaking; conventional chemistry raises a molecule-count problem at high dilutions.

How is a C potency calculated?

One C means one part of the starting material is diluted into ninety-nine parts of diluent. Repeating that process multiplies the dilution each time.

  • 1C: 1 in 100
  • 2C: 1 in 10,000
  • 6C: 1 in 10^12
  • 12C: 1 in 10^24
  • 30C: 1 in 10^60

Why does Avogadro’s number enter the argument?

Avogadro’s constant connects an amount of substance to a count of constituent particles. Beyond a certain dilution, the chance of retaining a molecule of the starting material becomes extremely small.

That calculation is not an insult or a slogan; it is the basic chemistry challenge that any proposed explanation for highly diluted preparations must address.

What does homeopathic theory say instead?

Homeopathic practice treats the sequence of dilution and succussion—forceful shaking—as central to preparation. Proposed explanations remain scientifically disputed.

Does a label like 30C tell you whether a product works?

No. The label describes a preparation convention. Effectiveness for a specific outcome is a separate question answered through reliable clinical evidence, not potency notation alone.

Questions people also ask

Is 30C stronger or weaker than 6C in homeopathic terminology?

Homeopathic terminology often calls 30C a higher potency, although chemically it represents a much greater nominal dilution.

Does every homeopathic product contain no starting material?

No. Products vary. Lower dilutions may contain measurable starting material, so product composition and safety cannot be assumed from the word homeopathic alone.

Sources and signals

Official and research sources support factual claims. Reporting and community links document the conversation or demand signal; popularity is not clinical proof.

  1. Homeopathy: What You Need To Know — US National Center for Complementary and Integrative Health
  2. Homeopathy — National Health Service

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