We have used the Roentgensatellit (ROSAT), the Extreme Ultraviolet Exp
lorer (EUVE), and the Hubble Space Telescope (HST) to measure X-ray an
d ultraviolet emissions of moderate-mass (similar to 2-3 M-.) giants i
n the Hertzsprung gap (spectral types early F to mid-G) and the post-h
elium flash ''clump'' (similar to G8-K0). Our motivation was to docume
nt the evolution of hot coronae (T > 10(6) K) along the post-main-sequ
ence trajectories traveled by such stars in order to gain insight conc
erning the ''X-ray deficiency'' of the F-G0 giants and the strong brak
ing of stellar rotation at the red edge of the Hertzsprung gap. With f
ew exceptions, Hertzsprung gap and clump giants observed by ROSAT PSPC
show hot (T similar to 10(7) K) coronal energy distributions, regardl
ess of any X-ray deficiency. EUVE spectra of gap star 31 Com (G0 III)
indicate a broad coronal emission measure hump at similar to 10(7.2) K
, while the active clump giant beta Ceti (K0 III) displays a sharp pea
k at similar to 10(6.8) K, as seen previously in the mixed clump/gap b
inary Capella (alpha Aur: G8 III + G0 III). The gap giants v Peg (F8 I
II) and 24 UMa (G4 III) have EUV emissions of intermediate temperature
(similar to 10(7.0) K). The stars 31 Com, psi(3) Psc (G0 III), and be
ta Cet exhibit redshifted transition zone (TZ: similar to 10(5) K) lin
es in HST GHRS spectra, as reported earlier in Procyon (alpha CMi: F5
IV-V) and Capella G0. Such redshifts on the Sun are thought to signify
flows in magnetic loops. beta Cas (F2 III)-a rare soft coronal source
among the gap stars-displays blueshifts of C IV and O IV], although e
missions at cooler and hotter temperatures are near the photospheric v
elocity. The remarkably broad line profiles of the fastest rotating ga
p giants suggest that the 10(5) K ''subcoronal'' emission zones extend
to h similar to R-star above the photosphere, about 50 scale heights.
In contrast to the TZ line redshifts, the upper chromospheric emissio
ns (e.g., Mg II and Si III) of 31 Com and psi(3) Psc have blueshifted
cores. Blue-asymmetric peaks in the solar Mg II lines are thought to i
ndicate dynamical heating in the chromosphere. Observations of the H I
Ly alpha feature of 31 Com taken 9 months apart reveal striking profi
le changes, reminiscent of those noted previously in the Ly alpha blue
peak of the Capella G0 star. We used the far-ultraviolet diagnostics,
in combination with ROSAT X-ray photometry and EUVE high-excitation l
ine strengths, to constrain physical models of the stellar outer atmos
pheres. Quasi-static magnetic loops can simulate the empirical coronal
emission measures of the giant stars, but the inferred pressures for
sensible loop lengths conflict with direct measurements of subcoronal
densities. Furthermore, the high rate of emission at similar to 10(5)
K cannot be explained by thermal conduction down the legs of hot quasi
-static loops. On the other hand, the possible existence of elongated
(l similar to R-star) emission structures on the gap giants leads to a
speculative scenario to explain the X-ray deficiency. It is based on
the increased importance of the dynamical filling phase (''explosive e
vaporation'') of the loop life cycle; conductive cooling, yielding TZ
emissions at the footpoints, when the heating is interrupted; and the
possibility for transitions between ''hot'' and ''cool'' energy balanc
e solutions owing to dynamical suspension and centrifugal trapping of
the cooling gas. The long loops might represent a vestigial global ''m
agnetosphere'' inherited from the main-sequence phase, which ultimatel
y is disrupted near similar to G0 by the deepening convective envelope
and growth of a more solar-like dynamo. Coronal emissions might be bo
osted temporarily as the X-ray deficiency is removed but soon would be
quenched by wind braking previously inhibited by the magnetospheric '
'dead zone.''.