Figure 2
shows great differences in extinction laws among various lines of sight
throughout the optical and UV portions of the spectrum. We might expect
a corresponding variation at somewhat longer wavelengths, but apparently
there is little if any.
Most NIR photometry is at the Johnson filters J (1.25
µm), H (1.65 µm),
and K (2.2 µm). Whittet
(166)
tabulates E (J - H) / E (H - K) as
determined by several studies, in diffuse dust and outer-cloud dust alike,
and finds them to be consistent with the value E (J - H) / E (H - K)
= 1.61 ± 0.04. Koornneef
(87)
considered a large body of data and suggests
an extinction law which has a value of 1.70 for this ratio. Jones and
Hyland
(79)
also concluded that NIR extinction is the same for
both diffuse dust and outer-cloud dust, although they found E (J - H)
/ E(H - K) = 2.09 ± 0.10. The constancy of their ratio between
lines of sight
through diffuse dust and outer-cloud dust is more significant than the
difference in the numerical value itself, which depends upon reduction
to a standard photometric system.
The NIR extinction law is well fitted by the form A() / A(J) = (/1.25 µm)-. Recent values of are 1.70 ± 0.08
(166);
1.61
(136);
1.75
(37),
and ~ 1.8
(108).
The value 1.70 seems a reasonable compromise for both diffuse dust and
outer-cloud dust and implies that E (J - H) / E (H - K) ~ 1.6.
The constancy of the NIR extinction law implies that the size
distributions of the largest particles are almost the same in all
directions. This conclusion was also reached
(111)
on the basis of the interstellar polarization law, which involves only the
largest particles.
2.1.4.
FAR-UV EXTINCTION
Martin and Rouleau
(107)
have extended the Draine and Lee
(42,
hereinafter DL84) opacities through the
ionizing-UV range to X-ray energies (3.5 keV), assuming that grains are
composed of silicates and graphite. The opacity rises to a maximum of
2.8 x 1021 cm2 (H atom)-1 at 730 Å
(= 17 eV) and declines to 7.4 x
10-22 cm2 (H atom)-1 at 124 Å (=
100 eV). At energies > 300 eV, the
absorption law of the dust is approximately the same as if all of its
atoms were neutral in the gas phase. At lower energies, especially just
above the thresholds of the abundant elements like carbon, the large
grains are opaque and the effective cross section per H atom is reduced.
At 24 eV, the reduction amounts to a factor of four. The major effects of
the dust as regards high-energy radiation are (a) to keep its
constituents absorbing as neutral atoms, rather than possibly being
ionized; and (b) to scatter the radiation, with a cross-section about
equal to the absorption cross-section. This scattering can be observed
as an X-ray halo around point sources
(117).
Dust does
not affect the ionization equilibrium of H II regions very significantly
(112)
because its absorption, peaking at 17 eV, resembles
hydrogen absorption too closely.
2.1.5.
EXTRAGALACTIC EXTINCTION
Reasonably reliable
measurements for the extinction laws and dust/gas ratios exist only for the
Magellanic Clouds. In the Large Magellanic Cloud (LMC), it is found that
RV 3.2 ±
0.2, virtually Galactic
(24,
86,
119).
For the UV, the stars near the giant H II
region 30 Doradus have weak bumps and extinctions rising steeply at the
shortest IUE wavelengths, a behavior unfortunately known as ``the
LMC
extinction law''. However, the stars well away from
30 Doradus (> 500 pc
projected distance), spread throughout the galaxy, have approximately
galactic extinction laws
(24,
53).
The N(H) / E (B - V) is 2 x 1022 atoms
mag-1
(86,
53),
about four times the Galactic value
(9)
and about proportional to the gaseous carbon abundance in the
LMC.
In the Small Magellanic Cloud (SMC), there are almost no
suitably
reddened stars. In general there seems to be a low value of
RV, almost no bump, and a very steep far-UV rise
(11,
121),
as might be expected from a small RV. One star, though,
shows an extinction law similar to the Galaxy
(96).
The N(H) / E (B - V) is 4.5 x 1022 atoms
mag-1, about 10 times galactic and
consistent with the gaseous C abundance in the SMC
(104).