Discussion Overview
The discussion centers around the existence and proof of the 14 Bravais lattices in crystallography, with participants seeking references and validation for this claim. The scope includes theoretical and mathematical aspects of solid state physics and crystallography.
Discussion Character
- Exploratory, Technical explanation, Debate/contested
Main Points Raised
- One participant requests proof of the existence of exactly 14 Bravais lattices and seeks references for this proof.
- Another participant suggests reading Nussbaum's article on the topic, which discusses the idea of a fifteenth Bravais lattice, along with Azaroff's rebuttal.
- A third participant mentions that solid state textbooks, specifically Tinkham and Kittel, may contain relevant information.
- A later reply questions the presence of such a proof in solid state texts, suggesting that the topic may be more suited for mathematicians, given its mathematical origins.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the existence of a proof for the 14 Bravais lattices, and there are differing opinions on the appropriate references and the mathematical nature of the topic.
Contextual Notes
Some participants express uncertainty about the availability of a proof in standard solid state textbooks and highlight the historical mathematical context of crystallography.