The dielectric relaxation spectra of a system of lithium borosilicate glasses have been investigated over the frequency range 0.01 cps to 500 kc and temperatures between 25°–350°C. The spectra of the samples exhibit well‐defined peaks in the dielectric loss factor and dispersion in the dielectric constant. The activation energies associated both with the lithium ion mean relaxation frequency and the lithium ion dc conductivity (zero frequency conductivity) are constant with temperature; their difference for each sample appears to be an indication of the distribution of activation energies of the sample. The experimental data show that an analytical function proposed by K. W. Wagner adequately describes the distribution of relaxation times associated with the lithium ion relaxation process in the glass network. The distribution originates from a spread in activation energies for low lithium concentrations and a spread in the period of vibration of the lithium ions about their equilibrium position for higher concentrations.

1.
Volger
,
Stevels
, and
van Amerongen
,
Philips Research Repts.
8
,
452
(
1953
).
2.
H. W.
Taylor
,
Trans. Faraday Soc.
52
,
873
(
1956
).
3.
Abstract by I. R. Weingarten in Annual Report of the Conference on Electrical Insulation (National Academy of Science, National Research Council Publication 396) (1955 meeting).
4.
The exact equations for bridge balance are
Cx = Cs(1+R1/R3+R1/R2)
,
Gx = R1/R2R3
. For all data presented in this paper the resistive parameters were selected so that R1≪R3 and R1≪R2; therefore Eqs. (1) and (2) are sufficient.
5.
E. J.
Murphy
and
S. O.
Morgan
,
Bell System Tech. J.
18
,
502
(
1939
).
6.
This correction for dc conductivity usually is important only at frequencies below the loss factor peak where σ(dc) may be several orders of magnitude greater than σ(ac). This was the case for samples 3, 4, and 5.
7.
H. E.
Taylor
,
J. Soc. Glass Technol.
39
,
193
(
1955
).
8.
H.
Pellat
,
Ann. Chim. et Phys.
18
,
150
(
1899
).
9.
E.
Von Schweidler
,
Ann. Physik
24
,
711
(
1907
).
10.
K. W.
Wagner
,
Ann. Physik
40
,
817
(
1913
).
11.
W. A.
Yager
,
Physics
7
,
434
(
1936
).
12.
A single relaxation time corresponds to b = ∞ in which case these equations reduce to Pellat’s simpler expressions [Eqs. (8), (9)].
13.
K″ is symmetrical about ω̄ if Wagner’s equations are valid.
14.
For sample 1, b = 0.59(T = 160 °C),b = 0.65(T = 350 °C); for sample 2, b = 0.55(T = 60 °C),b = 0.62(T = 277 °C).
15.
C. Kittel, Introduction to Solid State Physics (John Wiley & Sons, Inc., New York, 1953), second edition, p. 164.
16.
M. R.
Stuart
,
J. Appl. Phys.
26
,
1399
(
1955
).
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