Thermo-electricity at low temperatures VII. Thermo-electricity of the alkali metals between 2 and 20 °K

In earlier work, the absolute thermo-electric force, E of the alkalis was measured from about 60°K down to about 4°K. The absolute thermo-electric power ( S=dE/dT ) could then be derived with fair accuracy down to perhaps 8°K. The thermo-electric power of all the alkali metals has now been measured directly between 2 and 20°K, and the Thomson heats derived therefrom. The results are compared with the theory both of the ‘normal’ thermo-electric power and the Gurevich or ‘phonon-drag’ effect. It is clear from the work that experiments below 1 °K in this field will be of much interest and a programme has been started in this temperature range.

In order to compare exactly the present theory of thermo-electric power in metals with the behaviour of the simple alkali metals, particularly sodium, at low temperatures, it is necessary to know the absolute thermo-electric, power of one single conductor. There has been only one such determination of an absolute scale of thermo-electric power, and this was derived 23 years ago as the outcome of measurements which had been made primarily for other purposes. As measurements of the thermo-electric force of the alkali metals at low temperatures have recently become available, it is appropriate now to review critically the experimental basis of that scale. In view of new experimental evidence on the behaviour of the thermo-electric power of superconductors just above the transition point which has appeared in the last few years, it appears that a redetermination of the scale is necessary, at least at low temperatures. In this paper the present absolute scale of thermo-electric force is critically discussed particularly in relation to preliminary measurements towards its redetermination.


In the previous part (VII) the absolute thermo-electric power ( S ) of all the alkali metals was measured directly between 2 and 20°K. Measurements have now been made of the absolute thermo-electric force, E , of all the alkali metals below 2°K and down to about 0.1°K by means of adiabatic demagnetization techniques. The absolute thermo-electric power, S , is derived with fair accuracy from these results ( S = d E /d T ). The results are compared with theoretical developments, particularly those of Bailyn and Ziman.


In order to compare the fundamental theory of thermo-electricity at low temperatures with the behaviour of the ‘simple’ alkali metals (in particular of sodium and potassium) it is essential to have an accurate knowledge of the absolute thermo-electric power of one pure metallic conductor against which the measurements can be made. We have accordingly determined the absolute thermo-electric power of zone-purified lead up to 18°K by direct measurements against the superconductor Nb 3 Sn. The new measurements, because of the high superconducting transition temperature of Nb 3 Sn, leave only the very small region between 18 and 20°K in which the Thomson heat of lead must be interpolated to join the values obtained by Borelius and co-workers in earlier work, in order to extend the new scale of absolute thermo-electric power of lead up to room temperature. The variation of the Thomson heat of lead as a function of temperature below 20°K appears to be of some intrinsic interest.


The theory of part I (Collins 1961) is applied to the direct calculation of the ‘ideal’ electrical and thermal resistivities and ‘phonon drag’ thermo-electric power, of the alkali metals. All three coefficients depend, in magnitude and as functions of temperature, on the shape of the Fermi surface and on the lattice spectrum. If it is assumed that the latter is identical in form for all metals in the group, the observed transport coefficients are consistent with a Fermi surface which is quite distorted in lithium, becomes nearly spherical in sodium and potassium, and is again distorted in rubidium and caesium. The argument is not sufficiently accurate to discriminate between s -like and p -like symmetry in each case, nor to decide whether the Fermi surface actually touches the zone boundary; the phonon drag effect is also very sensitive to the purity of the specimen.


Makinson’s extension of Wilson’s treatment of the second-order effects in metals is used to derive an expression for the contribution of the lattice current to the thermo-electric power of metals at those temperatures where electron-phonon scattering predominates. It is found that in this temperature region one may expect the thermo-electric effect to show a sign opposite to the one which follows from the simple electron theory of metals. This is because the term due to the departure from equilibrium of the lattice distribution is larger than the usual term and is of opposite sign. If the temperature is greatly decreased or increased, the usual term predominates. The effect discussed may have a bearing on the behaviour of the thermo-electric power of the alkali metals, although it cannot explain this behaviour completely.


1998 ◽  
Vol 512 ◽  
Author(s):  
V. Ponnambalam ◽  
U. V. Varadaraju

ABSTRACTThe intermetallic compound RuAl2 with Nowotny chimney-ladder structure is synthesized using arc melting technique. The electrical resistity and thermo electric power measurements were carried out in the temperature range 300–1000K. The resistivity increases with increasing temperature and reaches a maximum value at about 700K. Thermo electric power (TEP) of the sample is negative and the value is about -80 µV/K at RT. The value increases with increasing temperature reaching a maximum value of -140 µV/K at about 600K. The compound exhibits temperature independent power factor in the temperature range 300–550K The calculated figure of merit 1.3 × K-1 is comparable to 7 × 10-4 K-1 of Si-Ge alloys which are used as high temperature thermoelectric materials.


2011 ◽  
Vol 25 (22) ◽  
pp. 1829-1838 ◽  
Author(s):  
Q. R. HOU ◽  
B. F. GU ◽  
Y. B. CHEN ◽  
Y. J. HE

Phonon-drag effect usually occurs in single crystals at very low temperatures (10–200 K). Strong phonon-drag effect is observed in ultra-thin β- FeSi 2 films at around room temperature. The Seebeck coefficient of a 23 nm-thick β- FeSi 2 film can reach -1.375 mV/K at 343 K. However, the thermoelectric power factor of the film is still small, only 0.42×10-3 W/m-K2, due to its large electrical resistivity. When a 27 nm-thick MnSi 1.7 film with low electrical resistivity is grown on it, the thermoelectric power factor of the MnSi 1.7 film can reach 1.5×10-3 W/m-K2 at around room temperature. This value is larger than that of bulk MnSi 1.7 material in the same temperature range.


1964 ◽  
Vol 12 (9) ◽  
pp. 217-219 ◽  
Author(s):  
Edward J. Walker ◽  
Robert W. Keyes

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