  The extraordinary chemical diversity of MAX phases raises the question of how
many and which novel ones are yet to be discovered. The conventional schemes
rely either on executions of well designed experiments or elaborately crafted
calculations; both of which have been key tactics within the past several
decades that have yielded many of important new materials we are studying and
using today. However, these approaches are expensive despite the emergence of
high throughput automations or evolution of high speed computers. In this work,
we have revisited the in prior proposed light duty strategy, i.e. structure
mapping, for describing the genomic conditions under which one MAX phase could
form; that allow us to make successful formability and non formability
separation of MAX phases with a fidelity of 95.5%. Our results suggest that the
proposed coordinates, and further the developed structure maps, are able to
offer a useful initial guiding principles for systematic screenings of
potential MAX phases and provide untapped opportunities for their structure
prediction and materials design.
