curve.fit

Exponential with Offset

Exponential growth or decay toward a constant level. Use it for cooling curves, capacitor charging and discharging, and decays measured on a background.

Start with your own data

Parameters

Value of y − C at x = 0.
Rate constant, in inverse units of x: positive for growth, negative for decay. For a decay, the time constant is −1/b.
Constant offset: the level a decay approaches.

Tips

  • For a decay, the half-life is ln 2/|b|. Exponential Decay (Half-life) fits the half-life directly.
  • Automatic starting values come from a straight line fitted to ln y, so they need positive y and leave out C. If the fit fails, enter guesses: C near the level the data approach, A near the first y minus C, and, for a decay, b ≈ −1 divided by the time the data take to fall about two thirds of the way to C.
  • If the data have no offset, enter 0 as the Guess for C and check Fix.

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