← All parts of this equation

Equation 9 · Part 1 · How Materials Discovery and Degradation Actually Work

Symbol delta

δ(t)≈δ0+kt\delta(t) \approx \delta_0 + k\sqrt{t}
δ\delta

What this part means

film thickness.

Its job in the formula

delta is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

where δ(t)\delta(t) is film thickness, δ0\delta_0 an initial thickness, and k a rate constant set by species diffusivity through the existing film — a direct consequence of assuming the rate-limiting step is diffusion across a film whose own thickness is the barrier [ 2 ] .

The passage around this formula

Diffusion-limited SEI thickening is commonly modeled with a square-root-of-time growth law, δ(t)≈δ0+kt\delta(t) \approx \delta_0 + k\sqrt{t}. where δ(t)\delta(t) is film thickness, δ0\delta_0 an initial thickness, and k a rate constant set by species diffusivity through the existing film — a direct consequence of assuming the rate-limiting step is diffusion across a film whose own thickness is the barrier [ 2 ] . This is a model, not a universal law : the review is explicit that mixed kinetic-and-transport regimes, porous or cracked SEI, and side reactions all produce departures from a clean square-root trend, and reconciling model and experiment remains an open problem [ 2 ] .

Read this part in the article →

Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

Open the illustrated functions: inputs become outputs guide →

See this notation across published equations →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.