Characteristic of all Bravais lattices

[Pual Black]

Hello
I have to prove mathematically all the characteristics of bravais lattices.
I googled it but they just explain the cubic lattices. I want a source where i can find all the 7 crystal systems.
What i need to know are:
Volume, conventional cell
Lattice points per unit cell
Volume of primitive cell
Number of nearest neighbors
Packing fraction or efficiency
I don't want a table where all the information are given. I need a source where this information are explained and where the came from.
Thank you very much

 

[Asim Riaz]

The best source that I can recommend to you is the book Fundamentals of Crystallography by C. Giacovazzo, H.L. Monaco, G. Artioli, and D. Viterbo. This book provides a comprehensive overview of the seven crystal systems, including their lattice points, volume, primitive cell, number of nearest neighbors, and packing fraction or efficiency. Additionally, it contains worked examples that illustrate how these characteristics are determined mathematically.