Cathode Active Material & Precursor Manufacturing worked example

Lithium Excess Cost at 58% lithium excess addition: a worked example

Here is what the math looks like when conditions slip. We hold every other input steady and drop lithium excess addition to 58%, then walk the calculation through step by step. Estimate the cost of lithium hydroxide or lithium carbonate added above stoichiometric requirement for CAM synthesis.

The inputs for this scenario

  • Stoichiometric lithium source required: 100 kg (held at the documented default)
  • Lithium source cost: 45 $ / kg (held at the documented default)
  • Lithium excess addition: 58 % (the input this scenario stresses; the baseline uses 80)
  • Fixed lithium handling cost: 250 $ (held at the documented default)

Working through the calculation

  • The calculation starts from the formula this tool documents: Variable lithium excess cost = stoichiometric lithium source required × lithium source cost × lithium excess addition.
  • Total lithium excess cost works out to 2,860 $ at these inputs, and this is the headline figure for the scenario.
  • Effective lithium excess cost per kg stoichiometric charge works out to 28.6 $ / piece at these inputs.
  • Variable lithium excess cost works out to 2,610 $ at these inputs.
  • Fixed lithium handling cost works out to 250 $ at these inputs.

How this compares with the baseline

  • Against the tool's baseline example, where lithium excess addition sits at 80% and the headline result is 3,850 $, this scenario comes in 25.71% below the baseline at 2,860 $.
  • The practical read: the gap between this scenario and the baseline is entirely attributable to lithium excess addition, so recovering it is worth quantifying in dollars before considering equipment or staffing changes. The excess percentage is applied directly to the stoichiometric mass as a cost multiplier; confirm whether your 'excess addition' input means the over-stoichiometric fraction or the total dose, because the two give very different numbers.

Results at a glance

  • Total lithium excess cost: 2,860 $ (headline result)
  • Effective lithium excess cost per kg stoichiometric charge: 28.6 $ / piece
  • Variable lithium excess cost: 2,610 $
  • Fixed lithium handling cost: 250 $

Run it with your numbers

  • To rerun this with your own numbers, open the live Lithium Excess Cost calculator, set lithium excess addition to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.