Laboratory centrifuge run batching calculator

Calculate balanced opposing-pair run proposal and run count with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use balanced opposing-pair run proposal and run count to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Sample volumes (mL)
8,15,6
Maximum tube fill (mL)
10
Even rotor slots
8
Assumed common liquid density (g/mL)
1
Balanced opposing-pair run proposal
[[1,1,0,8,5],[1,2,1,10,6],[1,3,1,5,7],[1,4,2,6,8]]
Run count
1
Counterbalance liquid mass (g)
29

Try another scenario

Sample volumes (mL)
[8, 15, 6]
Maximum tube fill (mL)
10
Even rotor slots
6
Assumed common liquid density (g/mL)
1
Balanced opposing-pair run proposal
[[1,1,0,8,4],[1,2,1,10,5],[1,3,1,5,6],[2,1,2,6,4]]
Run count
2
Counterbalance liquid mass (g)
29
Calculation method

Calculation method

Balanced opposing-pair run proposal

Split samples at max fill; each sample tube paired with identical-mass balancing tube under common-density assumption; return run,slot,sample index,fill mL,balance slot.

Run count

Ceil sample tube count/(slots/2)); conservative separate counterweights, no cross-sample pairing.

Counterbalance liquid mass (g)

Total paired counterweight volume×supplied common density.

Symbols and units
a
Sample volumes (mL)
b
Maximum tube fill (mL)
c
Even rotor slots
d
Assumed common liquid density (g/mL)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Arithmetic opposing-pair proposal for an even-slot rotor using a separate identical-mass counterweight for each sample tube. Tube tare masses must match; manufacturer balance limits and approved configurations remain external. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Sample volumes (mL): minimum 1e-12, maximum 1000000000000.0. Maximum tube fill (mL): minimum 1e-12, maximum 1000000000000.0. Even rotor slots: minimum 2, maximum 64. Assumed common liquid density (g/mL): minimum 1e-12, maximum 1000000000000.0.
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