Necessity of Two More Space Lattices

TL;DR

The paper argues that the current 14 space lattices are insufficient for accurate crystallography and proposes adding two new lattices, HCP and RCP, called Wahab lattices, to improve representation and understanding.

Contribution

It introduces two new space lattices, Wahab lattices, to supplement the existing 14, addressing conceptual issues in crystallographic representation.

Findings

Identification of inadequacies in existing 14 lattices.

Proposal of two additional lattices: HCP and RCP.

Potential for improved crystallographic representation.

Abstract

Existing fourteen Bravais/space lattices are found to be inadequate for proper crystallographic representation and some conceptual understandings. The complicacies, confusions and ambiguities encountered in the representation of trigonal/rhomohedral and hexagonal lattices have been removed by suggesting the need of two more space lattices in the form of Hexagonal Close Packing (HCP) and Rhombohedral Close Packing (RCP) with appropriate justifications. Henceforth, these two lattices will be called as Wahab lattices and the sixteen lattices together as Bravais Wahab lattices (or space lattices as before). This finding will have immediate as well as far reaching implications.