The epitaxial Bain path (EBP) of antiferromagnetic (AF) tetragonal Mn has b
een found by first-principles total-energy calculations using the full-pote
ntial linearized-augmented-plane-wave (FLAPW) method with two different pot
entials: (1) the local-spin-density-approximation without relativistic corr
ections (LSDA-NREL) and (2) the Perdew-Burke-Ernzerhof exchange-correlation
potential in a generalized-gradient-approximation with relativistic correc
tions (GGA-REL). The EBP from the GGA-REL calculations shows that the tetra
gonal ground state of AF Mn is at c/a=0.949, in close agreement with the ex
perimental value for gamma-Mn at c/a =0.946, but the LSDA-NREL value 0.993
is not as close. The LSDA-NREL calculations show that when grown epitaxiall
y on Pd(001), the AF Mn film is strained gamma-Mn, but grown on V(001) the
film is strained delta-Mn. The GGA-REL calculation also finds the Mn film o
n Pd(001) is strained gamma-Mn, but on V(001) is unstable. Lattice constant
s for both the ground state and the metastable equilibrium state and tetrag
onal elastic constants for the ground state are determined with both potent
ials.