Extracting the oscillatory component and defining a mean amplitude of thermokinetic oscillations in the H/Pd system

TL;DR

This paper introduces a method to extract the oscillatory component from thermokinetic data in the H/Pd system, defining a mean amplitude parameter that correlates with noble gas ionization potential.

Contribution

A novel approach using the mean value theorem and spline interpolation to isolate and quantify oscillatory components in thermokinetic data.

Findings

Mean amplitude linearly correlates with noble gas ionization potential.

Method effectively isolates oscillatory components from thermokinetic time series.

The approach provides a new descriptor for oscillation intensity in thermokinetic systems.

Abstract

The mean value theorem for integrals has been applied in constructing a base curve for non-equilibrium thermokinetic oscillations, q(t), recorded in oscillatory sorptions of H2(D2) in Pd. The mean values are calculated for each period of q(t), followed by cubic spline interpolation, forming the new non-oscillatory curve, h(t), to be used as a baseline for the oscillatory component of the original thermokinetic time series. Crucially, areas, under both q(t) and h(t) are strictly identical. Subsequent pointwise subtraction q(t) h(t) yields another oscillatory time series g(t), considered the oscillatory component extracted from the thermokinetic data. The method has been applied to various experimental time series q(t). Using the g(t) curves, a new parameter, the mean amplitude has been defined and used as a descriptor correlating the intensity of thermokinetic oscillations with various experimental conditions. The mean amplitude turns out to be a linear function of the first ionization potential of noble gases, admixed intentionally to H2 before its contacting Pd.