Complex dielectric constants have been measured at frequencies from below 20 c/s to 5 mc/s over the temperature range −40° to −75°C in glycerol, −45° to −90° in propylene glycol, and −80° to −140° in n‐propanol. The results for n‐propanol are described by the Debye equation, but the values for the other two require a modified equation corresponding to a broader range of dispersion at higher frequencies. In all three liquids, evidence is found for a second dispersion region at still higher frequencies, which accounts for much of the difference between the radio frequency and optical dielectric constant. The relaxation times are quantitatively described over wide ranges by an empirical rate equation of a form which also fits viscosity data. The significance of the various results is discussed.

1.
D. W.
Davidson
and
R. H.
Cole
,
J. Chem. Phys.
18
,
1417
(
1950
).
2.
For glycerol,
S. O.
Morgan
,
Trans. Am. Electrochem. Soc.
65
,
109
(
1934
);
for propylene glycol,
A. H.
White
and
S. O.
Morgan
,
Physics
2
,
313
(
1932
); for n‐propanol, references 13 and 23.
3.
P. M.
Gross
, Jr.
, and
R. C.
Taylor
,
J. Am. Chem. Soc.
72
,
2075
(
1950
).
4.
C. W. Kanolt, U.S. Bur. Standards Paper No. 520 (March, 1926); described as Mixture No. 39 in this paper.
5.
R. H.
Cole
and
P. M.
Gross
, Jr.
,
Rev. Sci. Instr.
20
,
252
(
1949
).
6.
Davidson
,
Auty
, and
Cole
,
Rev. Sci. Instr.
22
,
678
(
1951
).
7.
G. A. Campbell and R. M. Foster, Bell Telephone Monograph B‐584 (1931), Pair 524.2.
8.
K. Pearson, Tables of the Incomplete Gamma Function (H. M. Stationery Office, London, 1922). (The arguments u and p employed in the tables are related to ours by the equation u = β12(t/τ0),p = β−1.
9.
L.
Onsager
,
J. Am. Chem. Soc.
58
,
1486
(
1936
).
10.
J. G.
Kirkwood
,
J. Chem. Phys.
7
,
911
(
1939
).
11.
G.
Oster
and
J. G.
Kirkwood
,
J. Chem. Phys.
11
,
175
(
1943
);
G.
Oster
,
Bull. Soc. Chim. France
16
, D
353
(
1949
).
12.
G.
Tammann
and
W.
Hesse
,
Z. Anorg. Allgem. Chem.
156
,
245
(
1926
).
13.
Kobeko
,
Kuvshinski
, and
Shishkin
,
J. Tech. Phys. U.S.S.R.
5
,
413
(
1938
).
14.
W.
Kauzmann
,
Chem. Revs.
43
,
219
(
1948
).
15.
P. Debye, Polar Molecules (Dover Publications, New York, 1929), p. 84.
16.
R. M.
Fuoss
and
J. G.
Kirkwood
,
J. Am. Chem. Soc.
63
,
385
(
1941
).
17.
E. C. Titchmarsh, Theory of Fourier Integrals (Clarendon Press, Oxford, 1949), p. 92.
18.
K. Pearson, Tables of the Incomplete Beta Function (University Press, Cambridge, 1934).
19.
W. C.
Pierce
and
D. P.
MacMillan
,
J. Am. Chem. Soc.
60
,
779
(
1938
).
20.
W.
Kauzmann
,
Revs. Modern Phys.
14
,
12
(
1942
).
21.
J. Frenkel, Kinetic Theory of Liquids (Oxford University Press, London, 1946), Chapter IV.
22.
W. E.
Danforth
,
Phys. Rev.
38
,
1224
(
1931
).
23.
C. H.
Cartwright
and
J.
Errera
,
Proc. Roy. Soc. (London)
A154
,
138
(
1936
).
24.
P.
Girard
and
P.
Abadie
,
Trans. Faraday Soc.
42A
,
40
(
1946
);
P.
Girard
and
P.
Abadie
,
Bull. Soc. Chim. France
12
,
207
(
1945
);
P.
Girard
and
P.
Abadie
,
J. Chem. Phys.
44
,
313
(
1947
).
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