Binding Free Energy Calculator

Estimate molecular affinity energy with flexible standard physical inputs. Review constants, conversions, and uncertainty clearly. Download results for careful model comparison and reporting today.

Calculator Input

Example Data Table

Case Input type Value Temperature Approximate ΔG Comment
Protein ligand A Kd 25 nM 25 C -43.4 kJ/mol Tight binding
Variant B Kd 100 nM 25 C -40.0 kJ/mol Reference case
Inhibitor C IC50 50 nM 37 C Depends on Km Correction may apply
Thermal case D ΔH and ΔS -50 kJ, -22 J/K 25 C -43.4 kJ/mol Enthalpy entropy mode

Formula Used

The main equation is ΔG° = RT ln(Kd / C°). Here, R is 8.314462618 J mol-1 K-1, T is absolute temperature, Kd is molar dissociation constant, and C° is the standard concentration.

For association data, Kd = 1 / Ka. For inhibition data, Ki can be approximated by IC50 / (1 + [S] / Km). For enthalpy and entropy data, ΔG = ΔH - TΔS.

The occupancy estimate uses θ = [L] / (Kd + [L]). The comparison field uses ΔΔG = ΔG(sample) - ΔG(reference).

How to Use This Calculator

  1. Select the calculation mode that matches your data.
  2. Enter the affinity, energy, or thermodynamic values.
  3. Choose units for concentration, energy, entropy, and temperature.
  4. Enter ligand concentration if occupancy is needed.
  5. Enter substrate and Km only for corrected IC50 calculations.
  6. Add a reference Kd to compare binding strength.
  7. Press the calculate button to show results above the form.
  8. Use the CSV or PDF button to save the result.

Understanding Binding Free Energy

Binding free energy describes the strength of an interaction. In physics, it links molecular affinity with thermodynamic work. A negative value usually means favorable binding under the chosen standard state. A more negative value often means a tighter complex. The calculator uses affinity constants, temperature, and optional thermodynamic terms. It then returns ΔG in joules, kilojoules, and kilocalories per mole.

Why Temperature Matters

Temperature changes the scale of thermal energy. The factor RT sets how strongly an equilibrium constant affects ΔG. At higher temperature, the same affinity shift can create a different energy difference. This is why the temperature field is important. Enter the experimental temperature when available. Use room temperature only when a study does not provide a better value.

Affinity Inputs and Modes

Most users enter Kd, Ki, IC50, or Ka. Kd and Ki act like dissociation constants. Smaller values indicate tighter binding. Ka is the association constant, so larger values indicate tighter binding. For IC50, the tool can apply the Cheng-Prusoff correction. That correction needs substrate concentration and Km. If those fields are zero, IC50 is treated as an approximate Ki. The tool also accepts direct ΔG input. It can reverse the equation and estimate Kd from energy.

Interpreting Results

The pKd value is a compact affinity score. Each unit increase means a tenfold lower Kd. The occupancy estimate uses ligand concentration and Kd. It predicts the bound fraction for a simple one site model. The ΔΔG field compares your case with a reference affinity. This is useful when ranking variants, ligands, or conditions. A fold change greater than one means stronger binding than the reference. Uncertainty is estimated from the relative affinity error. It is only a first order guide.

Practical Notes

Binding calculations assume equilibrium behavior. They also assume a defined standard concentration. Most reports use one molar standard state. Real systems may include activity effects, proton coupling, salt effects, and conformational change. Therefore, results should support judgment, not replace it. Record all inputs with units. Compare only experiments made under similar conditions. Use exported files to keep a clear audit trail for reports. Check assumptions before sharing values. Small unit mistakes can change energy by several kilocalories per mole quickly.

FAQs

Can this calculator work from ΔG instead of Kd?

Yes. Enter ΔG directly and choose the energy unit. The calculator reverses the equation and estimates Kd at the selected temperature.

Should I use Kd, Ki, or IC50?

Use Kd for direct dissociation data. Use Ki when inhibition affinity is known. Use IC50 only when it is corrected or when an approximate result is acceptable.

Why does standard concentration matter?

The standard state sets the reference concentration. One molar is common. Changing it changes the numerical ΔG value and should be reported.

What does a negative ΔG mean?

More negative ΔG usually means stronger binding. It indicates that complex formation is more favorable under the selected assumptions.

Is the uncertainty result exact?

It estimates uncertainty from relative affinity error. This is a first order estimate, not a full statistical confidence interval.

How is IC50 corrected?

Use the Cheng-Prusoff fields. Enter IC50, substrate concentration, and Km. The tool estimates Ki before calculating binding energy.

Why is temperature required?

Temperature affects RT. A different temperature changes the energy scale. Always use the experimental temperature when possible.

Can I export the calculation?

Yes. The CSV and PDF buttons save the visible result summary. Use them for notes, reports, or model comparison.

Related Calculators

Paver Sand Bedding Calculator (depth-based)Paver Edge Restraint Length & Cost CalculatorPaver Sealer Quantity & Cost CalculatorExcavation Hauling Loads Calculator (truck loads)Soil Disposal Fee CalculatorSite Leveling Cost CalculatorCompaction Passes Time & Cost CalculatorPlate Compactor Rental Cost CalculatorGravel Volume Calculator (yards/tons)Gravel Weight Calculator (by material type)

Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.