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Isotonicity Calculator (Sodium Chloride Equivalent)

Work out how much sodium chloride, boric acid or dextrose makes eye drops, nasal or injectable solutions isotonic using the E-value (NaCl equivalent) method, plus the White–Vincent volume.

Drug
Custom E-value
Drug strength
Final volume
Tonicity agent
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How it works

drug (g) = strength % ÷ 100 × volume (mL) · NaCl equivalent = drug (g) × E · NaCl for isotonicity = 0.009 × volume (mL) · NaCl to add = 0.009 × V − drug × E · other agent (g) = NaCl to add ÷ E of the agent · White–Vincent volume (mL) = drug (g) × E × 111.1

Body fluids such as tears and blood have the same osmotic pressure as 0.9% sodium chloride, so eye drops, nasal sprays and injections are made isotonic to avoid stinging and tissue damage. The sodium chloride equivalent (E-value) is the grams of sodium chloride that produce the same tonicity as 1 g of the drug. Multiply the drug weight by its E-value, subtract that from the 0.9 g of sodium chloride per 100 mL an isotonic solution needs, and add the difference as sodium chloride — or divide it by the E-value of boric acid or dextrose if sodium chloride is incompatible (for example with silver nitrate). E-values follow the standard tables in Remington and Ansel’s Pharmaceutical Calculations.

Worked example

Ephedrine sulfate 1% in 30 mL: the drug weighs 0.01 × 30 = 0.300 g and is equivalent to 0.300 × 0.23 = 0.069 g of sodium chloride. An isotonic 30 mL needs 0.009 × 30 = 0.270 g, so add 0.270 − 0.069 = 0.201 g of sodium chloride. By the White–Vincent method the drug alone would be isotonic in 0.3 × 0.23 × 111.1 = 7.67 mL of water.

Sources: Remington: The Science and Practice of Pharmacy — Tonicity and E-values (via ScienceDirect) · Wikipedia — Tonicity

Frequently asked questions

What is an E-value?

The sodium chloride equivalent: the number of grams of sodium chloride that have the same osmotic effect as 1 g of the drug. Ephedrine sulfate has E = 0.23, so 1 g of it behaves like 0.23 g of sodium chloride.

Why multiply by 0.009?

An isotonic sodium chloride solution is 0.9% w/v, which is 0.009 g per mL. Multiplying by the final volume gives the total sodium chloride an isotonic solution of that volume would contain.

What if the result is zero or negative?

The drug alone already makes the solution isotonic or hypertonic, so no tonicity agent is added. Hypertonic eye drops sting more but small volumes are usually tolerated; injections may need dilution.

When do you use boric acid or dextrose instead of sodium chloride?

When the drug is incompatible with chloride (for example silver nitrate) or when a buffered ophthalmic vehicle such as boric acid is wanted. Divide the sodium chloride still required by the E-value of the substitute: 0.50 for boric acid, 0.18 for anhydrous dextrose.

What is the White–Vincent method?

It calculates the volume of water that makes the drug isotonic on its own: V = drug (g) × E × 111.1 mL. You dissolve the drug in that volume and make up to the final volume with an isotonic vehicle.

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Educational calculation for pharmacists, students and health professionals only — not medical advice or a prescription. Check every result against the product label, an approved compounding reference and local protocols, and have a second person verify any dose before it is given.