Atomic Electrical Circuit Analogy Model

1. Entrance

This report summarizes studies on modeling atoms and molecules using electrical circuit elements. The aim is to classify the periodic table as a circuit library and express chemical and physical processes using electrical parameters.

2. Multiple Ratios and Energy Tests

CO and CO₂

• Mass ratio: O/C → 1.33 (CO), 2.67 (CO₂) → ratio 2:1
• Energy ratio: 1500/1070 ≈ 1.4
• Circuit analogy:
  • CO → single capacitor line
  • CO₂ → two capacitor lines in parallel
• Mathematical mapping:

𝐸_CO = (1/2)𝐶𝑉² , 𝐸_CO2 = 𝐶𝑉^₂

In an ideal circuit, the ratio is 2:1, and the experimental bond energy ratio is ≈ 1.4. Deviation occurs due to orbital interactions.

3. Electron Trajectories and Circuit Matching

Orbital Type	Circuit Provision	Energy Type	Explanation
s-orbital	Single line	Basic energy level	Spherical symmetry
p-orbital	Parallel line	Directional energy carrier	lobe structure
d-orbital	Resonance circuit	Complex transitions	Transition metals
T-orbit	Closed resonance ring	Delocalized energy	Aromatic systems
Electron density	Capacitor	Load storage	Orbital occupancy
Electron transition	Diode	Directional flow	Electronegativity aspect
Core	Circuit node	Reference potential	Atomic center

Quantum Properties (New Additions)

• Spin → Current direction / magnetic field direction

𝑆 = ± (1/2)ℏ ↔ 𝐼 = ±𝐼₀

• Superposition → Parallel paths

∣ 𝜓⟩ = 𝛼 ∣ 0⟩ + 𝛽 ∣ 1⟩

• Entanglement → Coupled circuits / dependent sources

∣ Ψ⟩ = (1/√2) (∣ 01⟩+∣ 10⟩)

4. Radioactive Elements and Radiation

Alpha Decay

• ⁴He is released from the nucleus:

(𝑍, 𝐴) → (𝑍 − 2, 𝐴 − 4)

• Circuit analogy: The sub-circuit is disassembled, and the +2e charge packet and 𝑄_𝛼 energy are released as an impulse.

• Mathematical mapping:

𝐸_rad = 𝑄_𝛼 , Δ𝑄_𝛼 = 2𝑒

Beta Decay

• Beta-: 𝑛 → 𝑝 + 𝑒^– + 𝜈¯_𝑒, (𝑍, 𝐴) → (𝑍 + 1, 𝐴)
• Beta+: 𝑝 → 𝑛 + 𝑒⁺ + 𝜈_𝑒 , (𝑍, 𝐴) → (𝑍 − 1, 𝐴)
• Circuit analogy: Carrier generation (electron/positron current) exits the port as a dependent current source, neutrino carries energy.
• Mathematical mapping:

𝑄_𝛽 = 𝐸_𝑒 ± + 𝐸_𝜈 + 𝐸_recoil

5. Transition from Energy to Mass

• Formula:

𝑚 =𝐸/𝑐²

• Circuit energy:

𝐸 =(1/2)𝐶𝑉² or 𝐸 =(1/2)𝐿𝐼²

6. Classification of Elements in the Circuit Library

• Alkali metals: Switch
• Alkaline earth metals: Fuse / Protective element
• Boron group: Semiconductor diode
• Carbon group: Resistor / Transistor
• Nitrogen group: Parallel circuit
• Oxygen group: Capacitor / Resonance circuit
• Halogens: Diode (directional flow only)
• Noble gases: Insulator / Closed circuit
• Transition metals: Inductor / Magnetic element
• Lanthanides and Actinides: Resonance coil / High-energy channel

7. Areas of Use

• Education: Visualizing the periodic table like a circuit map.
• Engineering: Modeling material properties with circuit parameters.
• Simulation: Calculating atomic systems with circuit simulators.
• Energy: Analyzing the energy capacity of chemical bonds through circuits.
• Quantum Information: Modeling the behavior of quantum bits through orbital-circuit mapping.

8. Conclusion

This updated report demonstrates how modeling atoms with electrical circuit elements creates an interdisciplinary bridge across chemistry, physics, and engineering. The law of multiple proportions, binding energies, radioactivity processes, and quantum properties can be expressed in a way that is compatible with circuit topology; the periodic table can be reinterpreted as a circuit library.