QuickDRT

Trim inductive impedance data

The inductive part of the impedance is not used for the DRT computation. Trimming it can help with visualization.

Minimum time constant (in seconds): N/A Maximum time constant (in seconds): N/A Narrowing the time constant range can be used to eliminate high-frequency artifacts or to exclude processes fitted to the diffusion part of the impedance.

DRT resolution (points per decade): N/A
Increasing the resolution yields smoother DRTs (e.g., for export) while leading to longer computation times.

Tikhonov regularization parameter (ε): N/A
Higher values result in more aggressive regularization (and potentially smearing). Setting this value to "Off" (left slider position) deactivates regularization, which is typically a good choice for non-Debye bases. NOTE: Regularization slows down the computation.

Select basis function The discretization basis defines the underlying model used to approximate the DRT. For most cases, the Cole-Cole basis (presuming ZARC elements) is a reasonable choice. More information on the bases can be found here: DOI:10.1016/j.jpowsour.2025.237403.

The Debye basis is what is used in most commonly available DRT methods. Therein, the impedance is reconstructed using ideal RC elements (i.e., Dirac pulses in the relaxation time domain), yielding singular DRT peaks. Thus, regularization (e.g., Tikhonov) is typically required to avoid overfitting.

The Gaussian basis presumes normally-distributed relaxation time constants around a central value. Its shape is controlled by the full-width at half maximum (which is related to the standard deviation). Note: For real-world systems involving porous electrodes, the Cole-Cole basis is typically more accurate.

Full-width at half maximum (FWHM): N/A
FWHM is a parameter used to describe the width of a Gaussian.

The Cole-Cole basis assumes ZARC elements (with non-ideal capacitances), making it a great fit for real-world impedance spectra of porous electrodes. The shape is defined by α and regularization is typically not needed.

DRT shape parameter (α): N/A
Values close to 1 reflect "ideal" capacitances (i.e., perfect semicircle in the Nyquist representation). Smaller α represent more depressed semicircles.

The Havriliak-Negami relaxation is used to model dispersed, skewed processes. It comprises two shape parameters (α and β), controlling the shape and asymmetry of the basis function, respectively.

DRT shape parameter (α): N/A
Values close to 1 reflect "ideal" capacitances (i.e., perfect semicircle in the Nyquist representation). Smaller α represent more depressed semicircles. DRT shape parameter (β): N/A
For β = 1, this basis reduces to the Cole-Cole relaxation basis. For smaller values, the basis functions become more asymmetric, resembling more heterogeneous processes (Gerischer elements, etc.).

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