Ten isolated compact high-velocity cloud (CHVCs) of the type cataloged by B
raun & Burton (1999) were imaged with the Arecibo telescope and were found
to have a nested core/halo morphology. We argue that a combination of high-
resolution filled-aperture and synthesis data is crucial to determining the
intrinsic properties of the CHVCs. We identify the halos as Warm Neutral M
edium surrounding one or more cores iii the Cool Neutral Medium phase. Thes
e halos are clearly detected and resolved bs the Arecibo filled-aperture im
aging, which reaches a limiting sensitivity (1 sigma) of N-HI similar to 2
10(17) cm(-2) over the typical 70 km s(-1) linewidth at zero intensity. The
FWHM linewidth of the halo gas is found to be 25 km s(-1), consistent with
a WNM thermal broadening within 10(4) h: gas. Substantial asymmetries are
found at high N-HI (> 10(18.5) cm(-2)) levels in 60% of our sample. A high
degree of reflection-symmetry is found at low N-HI (< 10(18.)5 cm(-1)) in a
ll sources studied at these levels. The column-density profiles of the enve
lopes are described well Ly the sky-plane projection of a spherical exponen
tial in atomic. volume density, which allows estimating the characteristic
central halo column density, N-HI(0) = 4.1 +/- 3.2 10(19) cm(-2), and chara
cteristic exponential scale-length, h(B) = 420 +/- 90 arcsec. For plausible
values of the thermal pressure at the CNM/WNM interface, these edge profil
es allow distance estimates to be made for the individual CHVCs studied her
e which range between 150 and 850 kpc. Bn alternate method of distance esti
mation utilizing the mean exponential scale-length found in nearby low mass
dwarf galaxies, h(B) 10.6 +/- 4.0 kpc, yields distances in the range 320 t
o 730 kpc. A consequence of having exponential edge profiles is that the ap
parent size and total flux density of these CHVCs will be strongly dependen
t on the resolution as well as on the sensitivity of the data used; even a
relatively deep observation with a limiting sensitivity of similar to 10(19
) cm(-2) over 70 km s(-1) will detect only the central 30% of the source ar
ea and less than 50% of the total flux density. The exponential profiles al
so suggest that the outer envelopes of the CHVCs are not tidally truncated.
Several CHVC cores exhibit a kinematic gradient, consistent with rotation.
The halos appear kinematically decoupled fi om the cores, in the sense tha
t the halos do not display the velocity gradients shown by the dense cores:
the gradients are therefore not likely to be due to an external cause such
as tidal shear. The much higher degree of symmetry observed in the halos r
elative to the cores also argues against an external cause of asymmetries i
n the cores.