  Multi-layer graphene with rhombohedral stacking is a promising carbon phase
possibly displaying correlated states like magnetism or superconductivity due
to the occurrence of a flat surface band at the Fermi level. Recently, flakes
of thickness up to 17 layers were tentatively attributed ABC sequences although
the Raman fingerprint of rhombohedral multilayer graphene is currently unknown
and the 2D resonant Raman spectrum of Bernal graphite not understood. We
provide a first principles description of the 2D Raman peak in three and four
layers graphene (all stackings) as well as in Bernal, rhombohedral and an
alternation of Bernal and rhombohedral graphite. We give practical
prescriptions to identify long range sequences of ABC multi-layer graphene. Our
work is a prerequisite to experimental non-destructive identification and
synthesis of rhombohedral graphite.
