Calibration Curve Calculator

Calculate calibration curves using linear regression for analytical chemistry

Enter known concentrations (mg/L, µM, etc.)

Enter measured responses (absorbance, peak area, etc.)

Enter response to calculate unknown concentration

Understanding Calibration Curves

A calibration curve is a method used in analytical chemistry to determine the concentration of an unknown substance by comparing it to a set of standard samples with known concentrations. Linear regression establishes the relationship between concentration and instrument response.

The Linear Regression Equation

y = mx + b

Linear calibration curve equation

y = Response

Measured signal (absorbance, peak area, fluorescence)

x = Concentration

Known standard concentrations

m = Slope

Sensitivity of the method

b = Y-intercept

Baseline signal at zero concentration

R² = Correlation coefficient

Goodness of fit (1.0 = perfect correlation)

Key Concepts

Linear Range

The concentration range over which the response is proportional to concentration. Operating within this range ensures accuracy.

R² Value Interpretation

  • • R² > 0.995: Excellent linearity
  • • R² = 0.98-0.995: Good linearity
  • • R² < 0.98: Poor linearity, check standards

Applications

  • 📊
    Spectrophotometry: Determining protein, DNA, or chemical concentrations via UV-Vis absorbance
  • 🧪
    HPLC/GC: Quantifying analytes based on peak area or height in chromatography
  • 🔬
    ELISA: Measuring protein concentrations in immunoassays
  • 🌡️
    Clinical Chemistry: Analyzing blood glucose, cholesterol, enzymes in diagnostic labs
  • 🏭
    Quality Control: Verifying product concentrations in pharmaceutical and food industries
  • 🌊
    Environmental Testing: Measuring pollutant levels in water and soil samples

📊Quick Reference

Formula:

y = mx + b

Good R²:

> 0.995

Min Standards:

3-5 points recommended

Applications:

Spectroscopy, HPLC, ELISA

Level:

College Analytical Chemistry

🎯Where It's Used

  • 🏥

    Clinical Labs

    Diagnostic assays

  • 🔬

    Research Labs

    Protein/DNA quantification

  • 💊

    Pharmaceutical QC

    Drug concentration testing

  • 🌊

    Environmental

    Water quality analysis