Precision cut high energy crystals
Crystals having a modified regular tetrahedron shape are provided. Crystals preferably have four substantially identical triangular faces that define four truncated vertices and six chamfered edges. The six chamfered edges can have an average length of l, and an average width of w, and 8≦l/w≦9.5.
1. A crystal having a modified regular tetrahedral shape, comprising:
a crystalline composition comprising a synthetic quartz;
four substantially identical triangular faces configured to define four truncated vertices and six chamfered edges;
wherein the six chamfered edges have an average length of l, and an average width of w; and
8≦l/w≦9.5.
2. The crystal of claim 1 wherein the composition essentially consists of the synthetic quartz.
3. The crystal of claim 1 wherein each of the faces has a surface roughness≦10 Angstroms RMS.
4. The crystal of claim 1 wherein the lengths of each of the six edges differ by no more than 1%.
5. The crystal of claim 1 wherein the width of each of the six edges differ by no more than 1%.
6. The crystal of claim 4 , wherein the width of each of the six edges differ by no more than 1%.
7. The crystal of claim 1 wherein 8.3≦l/w≦9.2.
8. The crystal of claim 1 wherein 8.7≦l/w≦8.8.
9. The crystal of claim 1 , wherein each of the four truncated vertices are parallel to at least one of the four substantially identical triangular faces.
10. The crystal of claim 1 , wherein each of the four truncated vertices comprises three sides y, and wherein 1.3≦y/w≦1.7.
11. The crystal of claim 10 , wherein 1.4≦y/w≦1.5.
12. The crystal of claim 10 , wherein each of the four truncated vertices comprises three sides z, and wherein 0.8≦z/w≦1.2.
13. The crystal of claim 12 , wherein z/w is 1±2%.