Chapter 2: Solution-Based Synthesis

🌐 EN | 日本語 (準備中) Last sync: 2025-11-16

2.1 Sol-Gel Process

Sol-gel synthesis creates materials from liquid precursors through hydrolysis and condensation reactions.

📐 Hydrolysis and Condensation: $$Si(OR)_4 + 4H_2O \rightarrow Si(OH)_4 + 4ROH$$ $$Si(OH)_4 \rightarrow SiO_2 + 2H_2O$$

💻 Code Example 1: Sol-Gel Gelation Modeling

# Requirements:
# - Python 3.9+
# - matplotlib>=3.7.0
# - numpy>=1.24.0, <2.0.0

import numpy as np
import matplotlib.pyplot as plt

def solgel_gelation_time(pH, temp):
    """Model gelation time"""
    T = temp + 273
    t_gel = 100 * np.exp(0.5*(pH-7)**2) * np.exp(5000/(8.314*T))
    return t_gel

pH_vals = np.linspace(1, 13, 100)
t = [solgel_gelation_time(pH, 60) for pH in pH_vals]

plt.semilogy(pH_vals, t, 'b-', linewidth=2)
plt.xlabel('pH')
plt.ylabel('Gelation Time (min)')
plt.grid(True, alpha=0.3)
plt.show()

2.2 Hydrothermal Synthesis

Hydrothermal methods use high-temperature aqueous solutions in autoclave for crystal growth.

💻 Code Example 2-7: Full Process Control

# Particle size control, temperature effects, nucleation kinetics
# Morphology control, composition tuning, characterization
# See complete implementations in full chapter

Summary

Sol-gel: molecular-level mixing, low temperature processing
Hydrothermal: crystalline materials from aqueous solutions
Precipitation: controlled nucleation and growth
Applications: nanoparticles, catalysts, bioceramics

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