Electrical conductivities of a multicomponent system in a uniform temperature, density, pressure, and magnetic field are obtained by using the transfer equations obtained by Burgers. The resulting formulas give the zero‐order contribution to electrical conductivities by elastic scattering of colliding particles as a function of temperature and density. These formulas are applied to lithium and helium gases. The screened Coulomb cross sections and geometrical cross sections are used, respectively, for collisions involving charged particles and for collisions involving a charged particle and a neutral atom. The relative abundances of various species are obtained by using the Saha formulas. The limitations associated with the uses of the electrical conductivities are discussed.

1.
L. D. Landau and E. M. Lifshitz, Statistical Physics (Addison‐Wesley Publishing Company, Reading, Massachusetts, 1958), pp. 316–318.
2.
F. H. Ree, Lawrence Radiation Laboratory, University of California, UCRL‐6892 (1962).
3.
See J. M. Burgers, in Symposium of Plasma Dynamics, edited by F. H. Clauser (Addison‐Wesley Publishing Company, Reading, Massachusetts, 1960), pp. 119–186. Refer to pp. 124–130 of the reference in derivation of various transfer equations.
4.
Reference 3, p. 150.
5.
Reference 3, Eq. (5–63a), p. 149.
6.
Eq. (16) is obtained from Eq. (5–32) of reference 3, omitting the inertia terms and terms containing gradients along with “heat flow” term which is discussed in the main text. Further information on the importance of terms involving inertia and gradient terms is given in p. 131 of reference 3.
7.
S. Chapman and T. G. Cowling, The Mathematical Theory of Non‐Uniform Gases (Cambridge University Press, Cambridge, England, 1939), p. 165.
8.
Reference 3, p. 127, Eqs. (5–22a)–(5–22c). The term 2 ln Λ which occurs in these equations is an approximation of ln(1+Λ2). The term ln(1+Λ2) will be employed in the present calculation in order to avoid divergence of z′ for small values of Λ.
9.
Figures representing σxx,σxy, Σ as functions of temperature at υ = 10 cm3/g are given in F. H. Ree, Lawrence Radiation Laboratory, University of California, UCRL‐6915.
10.
A. C.
Pipkin
,
Phys. Fluids
4
,
154
(
1961
).
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