A comparative study of electrical resistivity of liquid alkali metals

Electronic transport properties of liquid lanthanides

“…The experimental data on the structure factors obtained by neutron and X-ray diffraction methods are available only for some liquid lanthanides near their melting points [4]. The most popular method for studying the electronic transport properties of liquid metals is the electrical conduction theory developed by Ziman [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] using the concept of model pseudopotential. This concept has been extremely useful over the last few decades for simple liquid metals and liquid transition metals [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

“…Ziman's theory is widely used to investigate the electrical resistivity [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. Its starting point rest on first order time dependent perturbation theory [5].…”

“…It proves to be successful for liquid simple metals and their alloys [6,7]. Ziman's theory was further extended for noble and transition metals [8,9,[11][12][13][14][15][16][17][18][19][20][21]. The extended theory involves the t-matrix that depends on the relevant phase shift.…”

“…The phase shift is derived by solving the Schrödinger equation involving the muffin-tin potentials. Consequently, it is more computationally expensive than Ziman's original theory [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. It is reported that when the t-matrix is expanded for multiple scattering the second and third terms increase the resistivity only by 7% and 1%, respectively [3].…”

“…On the other hand, the Ziman's theory has a very simple form which is easy to handle numerically. Since we intend to investigate electronic transport of liquid transition metals we assume that Ziman's original theory [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21], notwithstanding its limitations, is adequate for the present purposes [11].…”