103
92, 93] Atomic Weight of Stellar Matter
generation unaltered, we should, as we have seen, halve the coefficient of
opacity of the star. This would necessitate a change in the star’s build : in
actual fact its radius would increase fourfold while its surface temperature
would be halved. We could follow the progress of the demon’s work by
watching the changes in either the radius or the surface-temperature of the
star. Hence from the observed surface-temperature or the calculated radius
of any star the mass and luminosity of which are known, it must be possible
to estimate the atomic weight of the atoms of which the star is composed.
Formula (93T) provides the means.
Table XIII gives the values of N-/A calculated from this formula. The
third column contains the bolometric luminosity in terms of the sun’s bolo-
metric luminosity as unity, and the fourth contains the value of G measured
in ergs per gramme per second.
Table XIII. Atomic Weights of Stellar Matter.
(Calculated on the supposition that the gas-laws are obeyed.)
Star
Mass
(0 = 1)
Bolom.
Lum. (Q =1)
G
K
T
M c
N 2
A
V Puppis
19-2
11,000
1,100
0-67
160x10°
190
u Herculis
7'6
1,250
300
1-20
100x10°
210
Sirius A
2-45
38
29
3-53
80 x 10«
350
Sun
100
1-00
1-90
12-2
55 x 10°
440
60 Kruger A
0-25
001
0 06
150
42 x 10°
100
„ B
0-20
0 003
0-021
230
65 x 10°
130
Betelgeux
[40]
6,000
T3001
0-42
10 x 10°
320
Capella A
4-18
105
48
2-08
19x10°
250
a Cent. B
0-97
0-46
0-90
12-9
45 x 10°
750
The values of N 2 /A in the last column cannot lay claim to any high
degree of accuracy. There are two principal sources of error, namely the value
assumed for G and the value assumed for A. c in equation (93'1).
In the case of stars of very high or very low temperature, the value of
G cannot be determined at all exactly. It is determined from the bolometric
absolute magnitude of the star, and even if the visual absolute magnitude is
known, the bolometric correction is generally very uncertain. An error of only
half a magnitude in the bolometric correction would throw the value of N' 2 /A
into error by a factor of T58.
This source of error almost vitiates the entries for V Puppis, u Herculis,
60 Kruger and a Orionis, but hardly affects those for such stars as the Sun
and Capella, for which the bolometric correction is small, and the absolute
emission of radiation is well known. But the entries for these stars are affected
by errors in the value of \ c . For stars of the mass of our sun, equation (911)
shews that X c varies inversely as /a -4 so that \ C (X C -1- 1) varies approximately as
/a s . As the value of T c also varies approximately as g (equation (90 2)) it