  For (CoCrFeMn)$_{100-x}$Al$_{x}$ high-entropy alloys, we investigate the
phase evolution with increasing Al-content (0 $\le$ x $\le$ 20 at.%). From
first-principles theory, the Al-doping drives the alloy structurally from FCC
to BCC separated by a narrow two-phase region (FCC+BCC), which is well
supported by our experiments. We highlight the effect of Al-doping on the
formation enthalpy and electronic structure of (CoCrFeMn)$_{100-x}$Al$_{x}$
alloys. As chemical short-range order (SRO) in multicomponent alloys indicates
the nascent local order (and entropy changes), as well as expected
low-temperature ordering behavior, we use thermodynamic linear-response within
density-functional theory to predict SRO and ordering transformation and
temperatures inherent in (CoCrFeMn)$_{100-x}$Al$_{x}$. The predictions agree
with our present experimental findings, and other reported ones.
