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In general, constant may have a unit. I use the unit in visit plugin, i.e visit displays legend with info about the unit (if provided). I propose to allows for the following:

# consts
# tag                  name                   value                   unit
const                    eF                     0.5                        # if unit is not provided, it is assumed to be none
const                    eF2                    0.5                   none # it is equivalent to eF
const                    eF_MeV                 0.1                   MeV  # const with unit