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Sigma Dilution
Calculator

Reconstitute and dilute Sigma-Aldrich (MilliporeSigma) reagents. Calculate volumes from product datasheet concentrations for laboratory chemical preparation.

5
Calc Modes
0ms
Solve Time
100%
Free Forever
C₁ × V₁ = C₂ × V₂
Leave one field blank to solve for it. Keep C₁ & C₂ in the same units.
C₁ Stock Concentration (initial)
SOLVING
V₁ Stock Volume (to take)
SOLVING
C₂ Final Concentration (desired)
SOLVING
V₂ Final Volume (total)
SOLVING
DF = C₁ ÷ C₂ = V₂ ÷ V₁
Enter stock & final concentrations. Optionally add volume for a recipe.
C₁ Stock Concentration
C₂ Final Concentration (same unit)
Final Volume (optional — for mixing recipe)
Stock : Diluent → Volumes
Enter parts stock, parts diluent, and total volume to make.
Parts Stock (the "1" in 1:10)
Parts Diluent (the "10" in 1:10)
Final Volume (total)
V₁ = (C₂ × V₂) ÷ C₁
Dilute a % stock to a target % — works for w/v, v/v, and w/w.
Stock Strength (% — higher value)
%
Target Strength (% — desired)
%
Final Volume Needed (total to make)
Cₙ = C₀ ÷ DFⁿ
Build a multi-step serial dilution series with a consistent dilution factor.
Starting Concentration (C₀)
Dilution Factor per Step (e.g. 10 for 1:10)
Number of Steps (tubes after stock)
Concentration Unit (label, optional)
⚠️ Error message here
Calculation Result
🧪 Overview

What Is a Sigma Dilution Calculator?

A Sigma dilution calculator helps researchers dilute reagents purchased from Sigma-Aldrich (now part of MilliporeSigma / Merck KGaA). Sigma-Aldrich supplies over 300,000 chemical products — from analytical standards to biochemical reagents — each with a defined concentration or purity on the product label. This tool applies C₁V₁ = C₂V₂ to calculate dilution volumes directly from Sigma-Aldrich product specifications.

Benefits

  • Works with Sigma-Aldrich product label concentrations
  • Handles M, mg/mL, %, and dilution ratio formats
  • Calculates reconstitution from lyophilized powders
  • Supports multi-step dilution from concentrated stocks
🔬

Applications

  • Diluting Sigma-Aldrich buffer concentrates (10× PBS, 50× TAE)
  • Preparing analytical standards from Sigma Traceable references
  • Reconstituting Sigma lyophilized enzymes and proteins
  • Diluting Sigma-Aldrich solvents and acids

Sigma-Aldrich products include a Certificate of Analysis (CoA) listing exact concentration, purity, and lot-specific assay values. Researchers download CoAs from sigmaaldrich.com (now merckgroup.com) to get the precise C₁ value for dilution calculations. This Sigma dilution calculator uses those values to compute accurate working volumes for buffer preparation, standard curves, and reagent dilution across chemistry, biology, and pharmaceutical applications.

📐 Core Equation

Diluting Sigma-Aldrich Products

Sigma-Aldrich product dilution follows C₁V₁ = C₂V₂ using the concentration stated on the product label or Certificate of Analysis. C₁ is the catalog concentration (e.g., 10× PBS at ~1.37 M NaCl equivalent), V₁ is the volume you pipette from the bottle, C₂ is your target working concentration, and V₂ is the total volume to prepare.

Interactive: Hover each variable to see its role
C₁ × V₁ = C₂ × V₂
C₁ = High conc. V₁ = Small vol.
Stock Solution
+ Diluent
C₂ = Low conc. V₂ = Large vol.
Final Solution
💡 The total amount of solute (C × V) is the same in both vessels — only the concentration changes.

Rearrange the equation to solve for any unknown:

V₁ = (C₂ × V₂) ÷ C₁— how much stock to pipette
C₂ = (C₁ × V₁) ÷ V₂— what concentration you'll get
V₂ = (C₁ × V₁) ÷ C₂— total volume needed

For concentrated liquid reagents (acids, bases, buffers), read C₁ directly from the label. For lyophilized products, dissolve the stated mass in the recommended solvent volume to calculate C₁. Sigma-Aldrich product pages include a "Reconstitution" section with recommended solvents and concentrations. The Sigma-Aldrich dilution calculator on their website performs a similar function — this tool provides the same capability with additional features like serial dilution and history tracking.

🔢 Factor

Sigma-Aldrich Standard Dilution Factors

Many Sigma-Aldrich products are sold at convenient standard dilution factors: 10× PBS (dilute 10-fold), 50× TAE buffer (dilute 50-fold), 1000× protease inhibitor cocktails (dilute 1000-fold), and 200× antibiotic stocks (dilute 200-fold). These integer factors simplify calculation.

DF = C₁ ÷ C₂ = V₂ ÷ V₁

Sigma-Aldrich also supplies certified reference materials (CRMs) and analytical standards at defined concentrations for instrument calibration. TraceCERT and Supelco branded standards are traceable to NIST or other metrology institutes. Diluting these standards for calibration curves requires precise dilution factor calculations to maintain traceability — this Sigma dilution factor calculator provides audit-ready step-by-step calculations.

Interactive: Click a factor to see the stock-to-diluent ratio
1 part stock
1 part diluent
Factor
Stock1 part
Diluent1 part
Total2 parts
📋 Step by Step

Step-by-Step Sigma Dilution Calculator Guide

Follow these steps to calculate your dilution:

1
Find the product concentration on the Sigma-Aldrich label. Example: RPMI-1640 with L-glutamine, 10× concentrate.
2
Determine the desired working concentration. Example: 1× RPMI-1640 for cell culture.
3
Set the total volume to prepare. Example: 500 mL for a week of cell culture.
4
Calculate stock volume. V₁ = (1 × 500) ÷ 10 = 50 mL of 10× concentrate.
5
Add sterile diluent. Add 450 mL of sterile water or appropriate diluent.
🔬 Serial Dilution

Serial Dilution of Sigma-Aldrich Standards

Serial dilution of Sigma-Aldrich analytical standards creates multi-point calibration curves for quantitative methods. Starting from a 1000 µg/mL Supelco ICP standard, a 10-fold serial dilution produces: 1000, 100, 10, 1, and 0.1 µg/mL.

Cₙ = C₀ ÷ DFⁿ
C₀ = starting concentration · DF = dilution factor per step · n = step number
Interactive: Two-fold serial dilution from 1000 µM — hover each tube
Stock
1000 µM
Tube 1
500 µM
Tube 2
250 µM
Tube 3
125 µM
Tube 4
62.5 µM
16×
Tube 5
31.25 µM
32×
🧫 Each tube: Transfer a fixed volume → add diluent → mix → repeat. Concentration halves at every step.

Laboratories accredited under ISO 17025 or following USP/EP methods use Sigma-Aldrich CRMs as calibration starting points. The serial dilution creates the calibration range, and regression analysis determines the calibration function. Sigma-Aldrich/MilliporeSigma also sells pre-made multi-element standard mixes for ICP-MS and ICP-OES calibration, reducing the need for manual serial dilution. This serial dilution calculator generates the concentration table for manual preparation when custom ranges are needed.

✏️ Worked Example

Sigma Dilution Calculator Example

Problem: A researcher needs to prepare 100 mL of 1 mM IPTG from a 1 M Sigma-Aldrich IPTG stock (catalog I6758) for protein expression induction in E. coli.

Step 1Identify variables
C₁ = 1 M = 1000 mM (Sigma IPTG stock I6758)
C₂ = 1 mM (induction concentration)
V₂ = 100 mL (final volume)
V₁ = ? (stock to pipette)
Step 2Rearrange formula
V₁ = (C₂ × V₂) ÷ C₁
Step 3Substitute values
V₁ = (1 × 100) ÷ 1000 = 0.1 mL = 100 µL
Step 4Calculate diluent
Medium = 100 − 0.1 = 99.9 mL
Step 5Verify
DF = 1000 ÷ 1 = 1000× dilution
Step 1 of 5
🧪
Recipe: Pipette 100 µL of 1 M IPTG stock (Sigma I6758) using a calibrated P200 micropipette. Add to 99.9 mL of sterile LB medium (pre-warmed to 37°C). Mix by swirling. This produces 1 mM IPTG for E. coli induction. Add to bacterial culture at OD₆₀₀ = 0.4–0.6. The 1 M stock is stable at −20°C for years; store aliquots to avoid freeze-thaw.
❓ FAQ

Frequently Asked Questions

Check the product label, Certificate of Analysis (CoA), or product page on sigmaaldrich.com. The label shows the nominal concentration or purity. The CoA (downloadable by lot number) shows the actual assay value. For buffer concentrates, the label shows the "×" factor (e.g., 10×). For analytical standards, the CoA shows the exact certified concentration with uncertainty. Use the CoA value for the most accurate dilution calculations.

Follow the "Reconstitution" section on the product page. Each lyophilized Sigma-Aldrich product lists the recommended solvent and target concentration. For enzymes: typically reconstitute in the specified buffer at 1 mg/mL or as stated. For IPTG, ampicillin, and other powder stocks: dissolve in sterile water to 1 M or 100 mg/mL. Filter-sterilize if the solution will contact cell cultures. Aliquot and store at −20°C per product datasheet recommendations.

They are the same company. Sigma-Aldrich was acquired by Merck KGaA (Darmstadt, Germany) in 2015. In the US and Canada, the life science division operates as "MilliporeSigma" (since "Merck" refers to Merck & Co./MSD in those markets). Internationally, it operates as "Merck." Products are still findable by Sigma-Aldrich catalog numbers. The same catalog, CoA system, and technical documentation applies regardless of branding.