Colony math magic
Ten-fold dilutions plus a 100 µL plate mean each colony often represents ~100,000 cells from the original culture—a handy mental shortcut.
Auto (antibody): Stock 1 mg/mL → target 1 µg/mL, final 10 mL, step volume 1 mL, limits 2–1000 µL, snap common. A 10× then 100× plan is typical; final tube is prepared to the working volume with ~10% overfill.
Ladder: 10-fold, 8 tubes, 1 mL per tube → transfer 100 µL, add 900 µL diluent each step.
This serial dilution planner turns a target concentration into a clear, step-by-step mixing plan. A serial dilution is a sequence of smaller dilutions that together reach a large overall dilution factor. Instead of trying to pipette a tiny volume all at once, you make a series of manageable transfers with a consistent total volume in each tube. That approach is common in microbiology, biochemistry, and clinical labs because it is more accurate and easier to reproduce.
The key idea is the dilution factor. If your stock concentration is \(C_s\) and your target is \(C_t\), the total dilution factor is \(D = C_s/C_t\). The planner then splits that overall factor into smaller step factors that are practical for pipetting. Each step uses a transfer volume and a diluent volume that add up to your chosen total volume per tube, so the concentration drops in a predictable way at every stage.
There are two modes. Auto searches for a short series of friendly step factors that multiply to the total dilution. It respects your minimum and maximum transfer limits, and it can adjust the final step so you hit the target exactly. Ladder uses a fixed fold (for example, 10-fold) across a set number of tubes, which is useful for standard curves or plate counts where each tube should be the same fold-change from the previous one.
To use the calculator, start by entering your stock concentration and target concentration, then choose a final volume and a per-step total volume. If you have pipette limits, enter the minimum and maximum transfer volume so the plan stays within realistic lab constraints. Select Auto if you want the tool to design the steps, or choose Ladder if you already know the fold per tube. The output lists each tube, the transfer volume, the diluent volume, and the resulting concentration.
Typical use cases include preparing antibiotic dilutions, making a protein standard series for a Bradford assay, diluting DNA for qPCR, or building a calibration curve for spectroscopy. If you are counting colonies, a 10-fold ladder makes it easy to estimate CFU/mL from plate counts. The planner saves time, reduces errors, and documents a repeatable dilution scheme.
Sanity check: the product of all step factors should equal \(D\). If it doesn’t, the tool won’t accept the plan.
Ten-fold dilutions plus a 100 µL plate mean each colony often represents ~100,000 cells from the original culture—a handy mental shortcut.
Splitting the difference between 2× and 5× keeps transfer volumes comfortably in P200/P1000 ranges when 10× would push you too low.
Adding ~5–10% extra to the final working volume covers pipette tolerance and edge evaporation, especially in warm rooms or open hoods.
Loading viscous stock before diluent can trap it at the bottom; adding diluent first and mixing gently often yields more even blends.
A quick 10-fold ladder of a standard curve can expose pipette drift or bad tips—flat or curved plots signal calibration issues.