SUMMARY
There are exactly 14 Bravais lattices, a fact supported by various academic references. Notable works include Nussbaum's "The Mystery of the Fifteenth Bravais Lattice" published in the American Journal of Physics and Azaroff's rebuttal in the same journal. Solid state physics textbooks such as Tinkham's and Kittel's provide foundational knowledge, although specific proofs may not be included. The discussion emphasizes the mathematical origins of crystallography, suggesting that further exploration may benefit from a mathematical perspective.
PREREQUISITES
- Understanding of crystallography principles
- Familiarity with solid state physics concepts
- Knowledge of mathematical proofs in physics
- Access to academic journals like the American Journal of Physics
NEXT STEPS
- Read Nussbaum's "The Mystery of the Fifteenth Bravais Lattice" for insights on the topic
- Examine Azaroff's rebuttal "No! to a Fifteenth Bravais Lattice" for counterarguments
- Study Tinkham's solid state physics textbook for foundational concepts
- Explore Kittel's "Quantum Theory of Solids" for advanced discussions on lattice structures
USEFUL FOR
Students and researchers in crystallography, solid state physicists, and mathematicians interested in the theoretical underpinnings of lattice structures.