The serial sectioning technique was used to investigate Na self-diffusion in single crystals with various degrees of purity. Three materials were used: high-purity, somewhat less-pure and NaCl doped with 2.65 x 10-5Sr2+ ions per Na+ ion. The Na self-diffusion data for pure material in the intrinsic region were the same for high-purity and somewhat less-pure single crystals (table 143). The data for temperatures ranging from 600 to 726C could be described by:
D (cm2/s) = 29 exp[-1.97(eV)/kT]
The diffusivities which were obtained in the extrinsic region for undoped high-purity and somewhat less-pure crystals were compared (table 144). The data for high-purity single crystals at temperatures ranging from 390 to 550C could be described by:
D (cm2/s) = 1.6 x 10-3 exp[-1.245(eV)/kT]
The data for less-pure single crystals at temperatures ranging from 387 to 550C could be described by:
D (cm2/s) = 6.0 x 10-5 exp[-0.984(eV)/kT]
Diffusion data were also presented for the diffusion of Na in Sr-doped single crystals (table 145). The data for Sr-doped single crystals at temperatures ranging from 448 to 588C could be described by:
D (cm2/s) = 6.5 x 10-5 exp[-0.894(eV)/kT]
The data showed that the diffusivity in the extrinsic region increased with the impurity content, whereas the activation energies decrease with impurity concentration.
F.Bénière, F.Chemla: Comptes Rendus de l’Academie des Sciences, 1968, 266[10], 660-3
Table 143
Self-Diffusion of Na in Pure Single Crystals of NaCl in the Intrinsic Region
Temperature (C) | D (cm2/s) |
600.1 | 1.38 x 10-10 |
623.2 | 2.60 x 10-10 |
645.1 | 4.75 x 10-10 |
670.1 | 9.35 x 10-10 |
698.2 | 1.85 x 10-9 |
714.0 | 2.81 x 10-9 |
720.2 | 3.20 x 10-9 |
726.2 | 3.75 x 10-9 |
Table 144
Self-Diffusion of Na in Pure Single Crystals of NaCl in the Extrinsic Region
Material | Temperature (C) | D (cm2/s) |
high-purity | 390 | 6.40 x 10-13 |
high-purity | 451.2 | 3.60 x 10-12 |
high-purity | 485 | 8.32 x 10-12 |
high-purity | 496.6 | 1.16 x 10-11 |
high-purity | 516 | 1.83 x 10-11 |
high-purity | 550.1 | 3.90 x 10-11 |
lower-purity | 387 | 1.81 x 10-12 |
lower-purity | 430 | 5.44 x 10-12 |
lower-purity | 451.2 | 8.39 x 10-12 |
lower-purity | 496.6 | 2.20 x 10-11 |
lower-purity | 532.2 | 4.17 x 10-11 |
lower-purity | 550.1 | 5.52 x 10-11 |
Table 145
Self-Diffusion of Na in Sr-Doped Single Crystals of NaCl in the Extrinsic Region
Temperature (C) | D (cm2/s) |
448.0 | 3.61 x 10-11 |
454.0 | 4.37 x 10-11 |
485.1 | 7.43 x 10-11 |
506.9 | 1.15 x 10-10 |
531.8 | 1.67 x 10-10 |
546.0 | 2.08 x 10-10 |
580.3 | 3.39 x 10-10 |
588.3 | 3.98 x 10-10 |