Skip to content

Main content

Binding Free Energy Kd Ratio

Compare standard binding free energies as RT ln(Kd1/Kd2) using same-unit dissociation constants and an explicit gas constant.

Loading tool…

Description

Compare two supplied dissociation constants as a binding free-energy difference.

Biophysical scalar models require explicit signal, concentration, temperature, energy and geometric conventions. Effective concentration differs from dimensionless activity, a single displacement differs from mean-square displacement, and a fluorescence yield ratio needs absorption and refractive-index corrections. Supplied model parameters do not establish that the model applies to an experiment.

Compare two supplied dissociation constants as a binding free-energy difference.

When to use this tool

Use Binding Free Energy Kd Ratio when you already have firstKd, secondKd, temperatureKelvin, gasConstantJoulesPerMoleKelvin and need to compare two supplied dissociation constants as a binding free-energy difference.

How to use the tool and how it works

  1. Enter firstKd, secondKd, temperatureKelvin, gasConstantJoulesPerMoleKelvin. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read firstMinusSecondFreeEnergyJoulesPerMole. Use the output convention below.

Require both Kd values, Kelvin temperature and gas constant positive; return R*T*(ln(firstKd)-ln(secondKd)) in J/mol for the stated R unit.1

Input fieldMeaning and unitsAccepted input
firstKdFirst KdRequired. Finite number; strictly above 0.
secondKdSecond KdRequired. Finite number; strictly above 0.
temperatureKelvinTemperature KelvinRequired. Finite number; strictly above 0.
gasConstantJoulesPerMoleKelvinGas Constant Joules Per Mole KelvinRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
firstMinusSecondFreeEnergyJoulesPerMoleR*T*(ln(firstKd)-ln(secondKd)), for comparable dissociation constants on the same standard-state basis.Required. Finite number.
json
{
  "input": {
    "firstKd": 0.000002,
    "secondKd": 0.000001,
    "temperatureKelvin": 298.15,
    "gasConstantJoulesPerMoleKelvin": 8.31446261815324
  },
  "output": {
    "firstMinusSecondFreeEnergyJoulesPerMole": 1718.2820757981524
  }
}

Limitations and assumptions

  • Kd units, standard states, temperature and binding convention must match. Lower first Kd gives negative first-minus-second free energy; this is not an absolute binding energy, fitted affinity, kinetics or actual molecular finding.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use the complete physical model, calibrated measurements and uncertainty analysis. Check reference states, photon-signal bases, diffusion assumptions and binding-constant conventions before interpreting local contributions as physical measurements.

References

  1. Calculation and input contract: biophysics/binding-free-energy-kd-ratio — tool.io

Similar or alternative tools