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I want to know if there is any difference at all between the alkali metals as far as conducting electricity goes.

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    $\begingroup$ The answers show that the resistivities/conductivities don't vary monotonically. I wonder if anyone can give a good explanation why. $\endgroup$ – Nicolau Saker Neto Feb 4 '14 at 23:29
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Li 
Conductivity 1.08×10^7 S/m
Resistivity  9.26×10^(-8) mΩ
Na
Conductivity 2.18×10^7 S/m
Resistivity  4.59×10^(-8) mΩ
K
Conductivity 1.43×10^7 S/m
Resistivity  7.0×10^(-8) mΩ
Rb
Conductivity 8.0×10^6 S/m
Resistivity  1.25×10^(-7) mΩ
Cs
Conductivity 5.3×10^6 S/m
Resistivity  1.9×10^(-7) mΩ
Fr
Conductivity 1.4×10^6 S/m
Resistivity  7.1×10^(-7) mΩ

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Here is the total resistivity ρ (in $10^{-6}\ \Omega{}\,\textrm{m}$ at 273.16 K) from Electrical resistivity of alkaline earth elements, T. C. Chi, J. Phys. Chem. Ref. Data, 1979, 8, 439-497:

Li 8.53

Na 4.33

K 6.49

Rb 11.54

Cs 18.75

Fr 28.00

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