Element Types Reference

Eleven Boukamp element kinds share homogenized outline SVG symbols (80×40 viewBox, 2.0 px base stroke). Geometry and stroke multipliers are defined in the Symbol Design System.

Resistor (R)

• Parameters: R — R — resistance (Ω)
• DSL: R0, R0{50}

Capacitor (C)

• Parameters: C — C — capacitance (F)
• DSL: C1, C1{1e-6}

Inductor (L)

• Parameters: L — L — inductance (H)
• DSL: L2

CPE (Q)

• Parameters: Q₀ — Q₀ — CPE magnitude (S·sⁿ); n — n — CPE exponent
• DSL: Q0{5e-5,0.8}
• Range: 0 < n ≤ 1

Warburg (infinite) (W)

Semi-infinite linear diffusion (45° Nyquist line). Shared Warburg diagonal with Ws/Wo; no end cap.

• Parameters: σ — σ — Warburg coefficient (Ω·s⁻½)
• DSL: W2, W2{120}

Warburg (short) (Ws)

Finite diffusion layer, transmissive boundary. Same diagonal as W plus closing vertical bar at the diffusion end.

• Parameters: Y₀ — Y₀ — admittance scale (S·s½); B — B — time scale (s½)
• DSL: Ws0{1e-3,10}

Warburg (open) (Wo)

Finite diffusion layer, reflecting boundary. Shared diagonal with paired open bars at the end.

• Parameters: Y₀, B (same labels as Ws)
• DSL: Wo1{1e-3,10}

Gerischer (G)

Diffusion–reaction impedance. Warburg-like diagonal plus reaction hook.

• Parameters: Y₀ — Y₀ — admittance scale (S·s½); K — K — reaction rate (s⁻¹)
• DSL: G0{1e-3,0.1}

Parallel Diffusion Warburg (Pdw)

Two parallel solid-state diffusion paths (literature PDW element).

• Parameters: D1 — D1 — diffusion coefficient (cm²/s); D2 — D2 — diffusion coefficient (cm²/s); θ — θ — branch fraction; Λ — Λ — molar concentration (mol/cm³)
• DSL: Pdw0{1e-8,1e-9,0.5,1e-3}

Cole-Cole (CC)

Dispersion relaxation (matches velo-spectroz Cole-Cole impedance).

• Parameters: R — R — resistance (Ω); τ — τ — relaxation time (s); α — α — dispersion exponent
• DSL: CC1{50,1e-3,0.8}
• Range: R, τ > 0; 0.3 ≤ α ≤ 1.0

Havriliak-Negami (HN)

Generalized dispersion with dual exponents.

• Parameters: R, τ, α — α — asymmetric broadening exponent; β — β — symmetric broadening exponent
• DSL: HN1{50,1e-3,0.8,0.9}
• Range: R, τ > 0; 0.3 ≤ α ≤ 1.0; 0 ≤ β ≤ 1.0

Parameter embedding

Embed numeric values after the element id with braces (canonical) or brackets (alias):

R0{50}-Q1{5e-5,0.8}
CC1{50,1e-3,0.8}
R0[50]              # alias

ELEMENT_KINDS summary

Code	Label	Params	Short labels
R	Resistor	1	R
C	Capacitor	1	C
L	Inductor	1	L
Q	CPE	2	Q₀, n
W	Warburg (infinite)	1	σ
Ws	Warburg (short)	2	Y₀, B
Wo	Warburg (open)	2	Y₀, B
G	Gerischer	2	Y₀, K
Pdw	Parallel Diffusion Warburg	4	D1, D2, θ, Λ
CC	Cole-Cole	3	R, τ, α
HN	Havriliak-Negami	4	R, τ, α, β

Metadata source: src/core/domain/circuit.ts.