907 
8 
the ca part of the value calculated according to the above formula. 
It is, indeed, very remarkable that already with such slight varia- 
. b; Ver ‘ TEE 
bility of 6 as will be the case for — — 2, —— diminished so 
) lim V tim 
greatly that the value changes from 3 to about 2; whereas sad only 
9 
decreases to about 0.95 or 0.96, as I calculated before. | 
Let us now proceed to inquire whether a theoretical reason can 
be given for the above mentioned relations. That though they may 
possibly not be quite rigorously accurate, they will hold with a high 
degree of approximation, cannot be denied. 
That 6 varies with v I have had to admit immediately when I 
tested the equation of state given by me by the observations of 
ANDREWS, in which even volumes occur which are smaller than 5. 
And I have long been of opinion tbat this diminution of 6 with 
smaller volume does not mean a real diminution of the molecule, 
but that this diminution of 6 would only be an apparent dimimution. 
I have tried to subject the hypothesis of an apparent diminution to 
the calculation by what I have called the overlapping of the distance 
spheres. Then the factor 4 in the expression 5 = 4 times the volume 
eee b 
of the molecules diminishes. The value of — has then the form ofa 
D 
9 
og and I have at least 
v . 
brought the factor of the 1st power, and also that of the 2" power 
in a formula, which, however, required such laborious and lengthy 
calculations for the second power that I abandoned them hopeless. 
Van Laar has carried out the computations, and calculated the value 
of the coefficient belonging to the 2"¢ power, and expressed the 
opinion that the series would consist of as many as some 20 terms. 
Afterwards BoitzmMann has supplemented the calculations, and shown 
series according to ascending powers of 
b . ; 
that the value of—would have the form of a quotient with series 
: Ng 
b, ae 
of terms with ascending powers of. More and more the conviction 
a 
took hold of me that this apparent diminution does not exist. [ have 
not yet obtained perfect certainty that it does not exist. But already 
Shere bs, 
before by the application of the form of _— with not too great a degree 
g 
of density, in which some three terms will suffice, I have repeatedly 
