English table of content example: Electrochemistry

0. Beginning of the Journey: Seeing Reactions Through Voltage¶

Cyclic Voltammetry

You often see a plot of Cyclic Voltammetry (CV). CV is probing how the system responds as you push it out of equilibrium by apply a driving force – voltage.

Electrochemistry is about what happens when you control electrons directly in different environments.

Instead of mixing reagents and waiting, electrochemistry lets you dial a voltage and watch how a system responds. That single knob—potential—gives access to:

when a reaction wants to happen (thermodynamics) how fast it happens (kinetics) whether it is limited by supply (transport)

Peaks → reactions occurring Peak position → thermodynamic driving force Peak height → kinetics + transport Shape → reversibility and mechanism

1. Everything Happens at Surfaces¶

All electrochemical reactions happen at interfaces—specifically, at electrode surfaces.

Electrons live in the electrode. Molecules live in the solution.

For a reaction to occur, they must meet at the interface

1.1 Electrical double layer (EDL): J
1.2 Capacitive vs Faradaic processes: K
1.3 Surface adsorption: Q

2. Electrochemical Thermodynamics¶

2.1 Electrochemical potential: Jupyter tools, units and dimensions, uncertainty, data, and visualization
2.2 Relationship to free energy: State variables, models and approximations, order-of-magnitude estimation
2.3 Nernst equation: Multi-pathway verification, data citation, academic integrity

Objective: From the very first week, foster scientific learning methods that are executable, verifiable, and reproducible.

3. Electrode Kinetics (Charge Transfer)¶

3.1 Butler–Volmer equation: J
3.2 Exchange current density: K
3.3 Overpotential (activation losses): Q

4. Mass Transport in Electrochemical Systems¶

4.1 Diffusion (Fick’s laws): J
4.2 Migration (electric field): K
4.3 Convection: Q

5. Coupling Kinetics + Transport¶

5.1 Reaction–diffusion coupling: J
5.2 Limiting current vs kinetic current: K
5.3 Regime maps: kinetics-limited; diffusion-limited; mixed control

6. Experimental Methods¶

6.1 Cyclic voltammetry (CV): J
6.2 Chronoamperometry: K
6.3 Electrochemical impedance spectroscopy (EIS): Q

7. Energy Systems Applications¶

7.1 Batteries: Li-ion basics; voltage profiles; transport limitations
7.2 Fuel cells: ORR/OER kinetics; catalyst performance metrics
7.3 Electrolyzers: hydrogen & ammonia

8. Real-World Non-Idealities¶

8.1 Catalyst restructuring: L
8.2 Mass transport limitations in porous electrodes: Q
8.3 Non-ideal electrolytes: K
8.4 Stability vs activity trade-offs: No free lunch

9. Data + Modeling + AI¶

9.1 Parameter inference from CV/EIS: L
9.2 Surrogate models for electrochemical systems: Q
9.3 Closed-loop optimization (robotic electrochemistry): K

10. References to Classic Textbook Frameworks¶

Electrochemical Methods: Fundamentals and Applications, by Allen J. Bard, Henry S. White and Larry R. Faulkner
Electrochemical Systems, by John Newman and Karen E. Thomas-Alyea
Understanding Voltammetry, by Richard G. Compton and Christopher Banks

中文目录示例：电化学¶

0. 旅程的起点：用电压“看见”反应¶

循环伏安法（Cyclic Voltammetry, CV）

你经常会看到一张循环伏安（CV）曲线图。CV 的本质，是在施加驱动力（电压）的过程中，观察体系如何被逐步推离平衡态并作出响应。

电化学关注的是：当我们能够直接控制电子时，在不同环境中会发生什么。

不同于传统化学中“混合试剂然后等待”，电化学允许你调节电压，并实时观察体系的响应。这一唯一的控制变量——电势——同时揭示：

反应是否“愿意”发生（热力学）反应发生得有多快（动力学）是否受到物质供给限制（传质）

在 CV 曲线中：

峰的出现 → 反应发生峰的位置 → 热力学驱动力峰的高度 → 动力学 + 传质曲线形状 → 可逆性与反应机理

1. 一切都发生在表面¶

所有电化学反应都发生在界面——更具体地说，是在电极表面。

电子存在于电极中分子存在于溶液中

反应的发生，必须在两者相遇的界面处完成。

1.1 电双层 (Electrical Double Layer, EDL)：J
1.2 电容过程 vs 法拉第过程：K
1.3 表面吸附：Q

2. 电化学热力学¶

2.1 电化学势：Jupyter 工具、单位与量纲、不确定度、数据与可视化
2.2 与自由能的关系：状态量、模型与近似、数量级估算
2.3 能斯特方程（Nernst equation）：多路径验证、数据引用、学术规范

目标：从第一周起培养可执行、可验证、可复现的科学学习方法。

3. 电极动力学（电荷转移）¶

3.1 Butler–Volmer 方程：J
3.2 交换电流密度：K
3.3 过电位（活化损失）：Q

4. 电化学体系中的传质过程¶

4.1 扩散（Fick’s 定律）：J
4.2 迁移（电场作用）：K
4.3 对流：Q

5. 动力学与传质的耦合¶

5.1 反应–扩散耦合：J
5.2 极限电流与动力学电流：K
5.3 控制区间图谱：动力学控制；扩散控制；混合控制

6. 实验方法¶

6.1 循环伏安法（CV）：J
6.2 计时电流法（Chronoamperometry）：K
6.3 电化学阻抗谱（EIS）：Q

7. 能源体系中的应用¶

7.1 电池：锂离子电池基础；电压曲线；传质限制
7.2 燃料电池：ORR/OER 动力学；催化剂性能指标
7.3 电解体系：氢气与氨的电化学生成

8. 真实体系中的非理想性¶

8.1 催化剂重构：L
8.2 多孔电极中的传质限制：Q
8.3 非理想电解质：K
8.4 稳定性与活性的权衡：没有免费的午餐

9. 数据、建模与人工智能¶

9.1 基于 CV/EIS 的参数反演：L
9.2 电化学体系的代理模型（Surrogate models）：Q
9.3 闭环优化（机器人电化学）：K

10. 引用经典教科书模板¶

Electrochemical Methods: Fundamentals and Applications, by Allen J. Bard, Henry S. White and Larry R. Faulkner
Electrochemical Systems, by John Newman and Karen E. Thomas-Alyea
Understanding Voltammetry, by Richard G. Compton and Christopher Banks