Level 5 · Perfume Mathematics and Formula Design

Solvent in a Formula: What It Does to Your Numbers

Work through what happens when you change a line's dilution: three ways of doing it, what each holds constant, and when solvent changes the smell too.

In short

When you change a line's dilution, something else must give. You can hold the line's weight (and lose active), hold its active (and the formula's total grows), or hold both active and total by removing an equal weight of solvent from elsewhere. These are different decisions, and each gives a different formula.

What you will learn

  • Compare three ways of changing a line's dilution
  • Predict how each changes the total and other lines
  • Decide whether a retained solvent matters to the smell

Before this lesson: Active Material: The Number Behind Every Formula

The three moves

Take a formula totalling 10 g, with a separate solvent line. One line, B, is 2.00 g at 10%, which is 0.20 g of active, and you now only have B at 1%.

Three ways to change B from 10% to 1%
MethodB weighsB's activeFormula totalOther lines
Hold weight2.00 g0.02 g10.00 gUnchanged, but B is now a tenth as strong
Hold active20.00 g0.20 g28.00 gUnchanged in weight, smaller in share
Hold active and total20.00 g0.20 g10.00 g, if 18 g of solvent can be removedThe solvent line must fall by 18 g

The third row exposes a limit: in a 10 g formula you probably have nowhere near 18 g of solvent to remove. In that case, it cannot hold both, and you must either accept a growing total or work with a stronger dilution. The reference on changing dilution in a formula works through further cases. These three methods are also what the RUŌOD Lab app offers when you switch a line's dilution.

Choosing

  • Hold the weight only if you are deliberately reducing the material.
  • Hold the active when the fragrance must stay the same and you can accept that the concentrate becomes more dilute. Finish the perfume by active rather than by concentrate weight, or it will be weak.
  • Hold active and total when a batch has a fixed size and a solvent line is available.

When solvent is more than arithmetic

Alcohol evaporates quickly and leaves the materials on the substrate. Solvents that stay behind can behave differently:

Solvents as more than filler. Effects vary by formula, so test yours.
SolventNotes for a formula
Dipropylene glycolNearly odorless, slow to evaporate. May affect release.
Benzyl benzoateFaint balsamic odor; also a fragrance ingredient; a listed allergen in some markets.
Triethyl citrateLow odor, often chosen by those avoiding other carriers.

A 5% line of a heavy solvent may have little effect, but a third of the concentrate might. If you change solvents, test it. Also check the regulatory side: a solvent is an ingredient too, so it has to be declared and checked like any other. The guide on fragrance oil carriers shows how this catches people out when they buy fragrance oils with hidden carriers.

Compare before you commit

Arithmetic tells you that two versions should contain the same active. It cannot tell you that they smell the same. Make both, and compare blind. A difference may be real, or it may come from aging, a different lot or weighing error. That gives you one more reason to record which lots and stocks you used.

Practical exercise: Switch one dilution three ways

About 30 minutes · You will have: three worked versions of one formula after a dilution change, with totals

Use this formula: A 5.00 g neat, B 2.00 g at 10%, DPG 3.00 g. You only have B at 25% now.

  1. Calculate B's active: 0.20 g. Find the weight of B at 25% to hold that active. 0.80 g.
  2. Hold weight: B stays at 2.00 g at 25%. What is B's active now? 0.50 g, or 2.5 times more.
  3. Hold active: B falls to 0.80 g. What is the new total? 8.80 g.
  4. Hold active and total: how much DPG must you add? 1.20 g, so DPG becomes 4.20 g and the total stays 10.00 g.
  5. Write which you would choose in a fixed 10 g batch, and why.

You have done this well if your totals tie out and your reason refers to what you need to hold constant.

Common mistakes

  • Changing a stock and keeping the weight without noticing. This is the most common way a formula silently changes.
  • Treating all solvents as equal. Some stay behind and some have an odor.
  • Forgetting that a new solvent needs checking. It has its own documents and rules.

Knowledge check

1. A line of 2 g at 10% is changed to 1%, keeping the weight fixed. What happens to the pure active?
Show the answer

It falls to 0.02 g. 2 × 0.01 = 0.02 g. Holding the weight fixed gives you a tenth of the active.

2. To keep 0.2 g of active at 1%, how much must you weigh?
Show the answer

20 g. 0.2 ÷ 0.01 = 20 g. So the line grows by 18 g.

3. Why might the choice of solvent change the smell?
Show the answer

A solvent that stays behind can change evaporation and add a faint smell of its own. Alcohol leaves quickly. A heavy solvent stays on the substrate, and solvents vary in odor. Test rather than assume.

Written and reviewed by the RUŌOD Lab team. This is general education, not legal, regulatory, medical or safety advice. Example dilutions and exercises are for learning, are not validated products, and have not been safety-assessed. Completing a lesson confers no qualification. How we check these lessons.