DOI: 10.1016/s0081-1947(08)60135-6. Relations between the Concentrations of Imperfections in Crystalline Solids

Relations between the Concentrations of Imperfections in Crystalline Solids

10.1016/s0081-1947(08)60135-6

Crossref book-chapter

Elsevier

Solid State Physics (78)

Bibliography

KrÃ¶ger, F. A., & Vink, H. J. (1956). Relations between the Concentrations of Imperfections in Crystalline Solids. Solid State Physics, 307â435.

Authors 2

F.A. Kröger (first)
H.J. Vink (additional)

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Strictly speaking these figures refer to charged imperfections, although uncharged imperfections are considered in this section. The order of magnitude of the concentrations of imperfections in cases in which they are predominantly neutral will however be the same. Charged imperfections are treated in the next section.
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Using the notions of free electrons and holes, it is possible to say something more about the exciton states at this point. Such states can be viewed as composed of associated electron-hole pairs. Thus, just as in the case of atomic imperfections (Section 1), association-dissociation equilibria involving the electronic imperfections are also possible. The excitons are present in appreciable concentrations only at high temperature; they disappear upon cooling. Since they influence the other equilibria in no way, they shall not be considered more in the following.
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Strictly speaking the formulation (7.4) should include a ferm describing the solution of vacuum (vac) in the crystal:
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Looking at the problems from this view, the results of Section III can also be regarded as a variation of solubility, viz. of the solubility of components of the base crystal in excess of the stoichiometric composition, under the influence of foreign atoms (see Wagner235
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Dates

Type	When
Created	16 years, 10 months ago (Oct. 3, 2008, 7:16 a.m.)
Deposited	3 years, 11 months ago (Sept. 17, 2021, 3:31 p.m.)
Indexed	1 day, 6 hours ago (Aug. 22, 2025, 12:48 a.m.)
Issued	69 years, 7 months ago (Jan. 1, 1956)
Published	69 years, 7 months ago (Jan. 1, 1956)
Published Print	69 years, 7 months ago (Jan. 1, 1956)

Funders 0

None

BibTeX

@inbook{Kr_ger_1956, title={Relations between the Concentrations of Imperfections in Crystalline Solids}, ISBN={9780126077032}, ISSN={0081-1947}, url={http://dx.doi.org/10.1016/s0081-1947(08)60135-6}, DOI={10.1016/s0081-1947(08)60135-6}, booktitle={Solid State Physics}, publisher={Elsevier}, author={Kröger, F.A. and Vink, H.J.}, year={1956}, pages={307–435} }

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      "unstructured": "Strictly speaking these figures refer to charged imperfections, although uncharged imperfections are considered in this section. The order of magnitude of the concentrations of imperfections in cases in which they are predominantly neutral will however be the same. Charged imperfections are treated in the next section."
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      "first-page": "363",
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      "unstructured": "Using the notions of free electrons and holes, it is possible to say something more about the exciton states at this point. Such states can be viewed as composed of associated electron-hole pairs. Thus, just as in the case of atomic imperfections (Section 1), association-dissociation equilibria involving the electronic imperfections are also possible. The excitons are present in appreciable concentrations only at high temperature; they disappear upon cooling. Since they influence the other equilibria in no way, they shall not be considered more in the following."
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      "unstructured": "A striking example of thia is provided by Ge, in which the occupied levels due to Gei and Gei* lie above the two empty levels due to VGe and VGe\u2032 Accordingly the state of lowest electronic energy is that in which Gei** and VGe\u2033 are present in Ge possessing Frenkel disorder."
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      "unstructured": "Strictly speaking the formulation (7.4) should include a ferm describing the solution of vacuum (vac) in the crystal:"
    },
    {
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      "unstructured": "Multiplying the two relations (12.12), we see that the simple interchange equilibrium still holds with the relation KA = K\u03b1(1 K\u03b1(2"
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      "unstructured": "These values of the constants correspond to a position of the energy levels slightly different from that shown in Fig. 17. Namely E7 > E12and not E7< E12 as assumed in Fig. 17."
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      "unstructured": "The semiconducting properties of the two systems are not quite identical because of the presence of M2 and VM in the case associated with Fig. 19. The ionized donors and acceptors influence the ionization equilibrium by increasing the probability of trapping of the carriers. Thus they tend to decrease the conductivity. This is a quantitative effect, however, and does not alter the conclusions regarding the transition from n-to p-type conductivity."
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      "unstructured": "See reference 31ap. 464."
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      "unstructured": "The lowest temperature that can be used in practice is the temperature where the equilibrium between crystal and vapor can be established in a reasonable time."
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      "unstructured": "J. Bloem, F. A. Kr\u00f6ger, H. J. Vink Repts. Conf. on Defects in Crystalline Solids, Univ. Bristol 1964, P. 273, 1955."
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      "unstructured": "PbS has Schottky-Wagner disorder; however, the main argument remains the same."
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