Chemistry resonance-flow diagrams
These diagrams describe conceptual flows you can render as SVG, Mermaid, or other formats.
Diagram 1 – Reaction resonance rate (Problem 1)#
Nodes:
- Composite catalytic factor: $$X = F_3 T_f$$
- Temperature coupling: $$ΛΘ$$
- Exponential suppression: $$e^{-1/(ΛΘ)}$$
- Rate constant: $$k$$
Flow:
- $$F_3$$ and $$T_f$$ merge to form $$X$$.
- $$Λ$$ and $$Θ$$ merge to form $$ΛΘ$$.
- A node computes $$-1/(ΛΘ)$$.
- The exponential node outputs $$e^{-1/(ΛΘ)}$$.
- A multiplier node combines $$X$$ and the exponential to produce $$k$$.
Diagram 2 – Molecular vibration energy (Problem 2)#
Nodes:
- Triadic operator: $$D_3$$
- Frequency elevation: $$T_f$$
- Squaring node: $$T_f^2$$
- Vibrational energy: $$E = D_3 T_f^2$$
Flow:
- $$T_f$$ flows into a squaring node.
- $$D_3$$ flows into a multiplier node.
- The squared $$T_f^2$$ and $$D_3$$ combine to produce $$E$$.
- A control arrow from “experimental conditions” adjusts $$T_f$$.
Diagram 3 – pH resonance drift (Problem 3)#
Nodes:
- Emitter constant: $$F_3$$
- Resonant-time: $$τ_r$$
- Division node: $$F_3 / τ_r$$
- Output: $$ΔpH$$
Flow:
- $$F_3$$ enters the numerator of a division node.
- $$τ_r$$ enters the denominator.
- The output node computes $$ΔpH = F_3 / τ_r$$.
- A feedback arrow from “desired pH stability” adjusts $$τ_r$$.