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Patina Calculator — Chemical Patina Solutions
Calculate chemical patina solution quantities for metal sculpture finishing.
How We Calculate This
How Patina Calculation Works
Total solution (ml) = Surface area × Application rate × Coats × Waste factor
A brushed thin coat uses about 0.005 ml/cm² (50 ml/m²) — an almost-dry brush dabbed onto hot metal. Multiplying by your number of coats and the waste factor gives the total finished solution volume.
Chemical (g) = Solution volume (litres) × Concentration (g/L)
The dry chemical is dissolved to a verified concentration: liver of sulphur 20 g/L, ferric nitrate 10 g/L, cupric nitrate 100 g/L and bismuth nitrate 42 g/L (Science Company recipes; Hughes & Rowe). For these dilute solutions the dissolved solid adds negligible volume, so the water needed is taken as the full solution volume — mix water first, then stir the weighed chemical in. Immersion or dip patinas use far more solution than the brushed figure here.
Frequently Asked Questions
A patina is a surface colour achieved through controlled chemical reactions on metal. In sculpture, patinas are applied using chemical solutions, heat and multiple coats to create colours ranging from black (liver of sulphur) and reddish-brown (ferric nitrate) to green verdigris (cupric nitrate) and antique off-white (bismuth nitrate) on bronze, copper and brass.
For irregular sculptures, estimate by imagining the surface unfolded flat. A rough guide: surface area is approximately 3-4 times the largest cross-section area for organic forms. For more accuracy, use the Clay Weight Calculator to estimate volume and derive surface area.
Most patinas require 3-5 coats to build depth and consistency. Apply thin coats with heat between each application. Liver of sulphur works in fewer coats (2-3), while green patinas may need 5-8 coats over several days.
Yes — apply a clear wax (Renaissance wax or microcrystalline wax) after the patina has fully developed. This protects the surface and adds a subtle sheen. Outdoor sculptures may need lacquer instead of wax.
Always wear nitrile or chemical-resistant gloves, safety glasses and work outdoors or with forced extraction. Liver of sulphur releases hydrogen sulphide (H₂S) — toxic and flammable — so never use it in a confined space. Cupric nitrate is toxic and the nitrates are oxidisers; use a respirator fitted with acid-gas cartridges and capture any run-off rather than letting it reach drains. Keep a neutralising solution (e.g. dilute bicarbonate of soda) and clean water nearby.
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Last updated: February 2026
All calculations are estimates. Always verify quantities before purchasing materials.