Abstract

Room-, liquid-nitrogen-, and liquid-helium-temperature mid-infrared reflectance spectra of lithium fluoride have been measured at near-normal incidence with special emphasis placed on obtaining precise and accurate data in the difficult Rminimum region. The reliability of the measured Rmin curves has been evaluated by a previously suggested mathematical technique. Far-infrared data available from the literature were utilized to construct the low-frequency reflection wings. The newly obtained reflectance data have been processed by an improved Kramers–Kronig dispersion-analysis technique, leading to optical indices significantly more reliable than those reported to date.

© 1974 Optical Society of America

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References

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  1. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Clarendon, Oxford, 1954).
  2. R. F. Wallis and A. A. Maradudin, Phys. Rev. 125, 4 (1962).
    [Crossref]
  3. B. Szigeti, Proc. R. Soc. (Lond.) A261, 274 (1961).
    [Crossref]
  4. J. R. Jasperse, A. Kahan, J. N. Plendl, and S. S. Mitra, Phys. Rev. 146, 526 (1966).
    [Crossref]
  5. W. G. Spitzer and D. A. Kleinman, Phys. Rev. 121, 1934 (1961).
    [Crossref]
  6. T. S. Robinson, Proc. R. Soc. (Lond.) B65, 910 (1952).
  7. A. Kachare, G. Andermann, and L. R. Brantley, J. Phys. Chem. Solids 33, 467 (1972).
    [Crossref]
  8. M. Gottlieb, Ph.D. dissertation (University of Pennsylvania, 1959).
  9. D. Frohlich, Ph.D. dissertation (Johann-Wolfgang-Goethe Universitat, 1963).
  10. C. K. Wu, M.S. thesis (University of Hawaii, 1967).
  11. C. K. Wu and G. Andermann, J. Opt. Soc. Am. 58, 519 (1968).
    [Crossref]
  12. G. Andermann, A. Caron, and D. A. Dows, J. Opt. Soc. Am. 55, 1210 (1965).
    [Crossref]
  13. A. Kachare, Ph.D. dissertation (University of Hawaii, 1972).
  14. A. Kachare, J. Layfield, and G. Andermann, Rev. Sci. Instr. 43, 625 (1972).
    [Crossref]
  15. E. Duesler, M.S. thesis (University of Hawaii, 1968).
  16. G. Andermann, C. K. Wu, and E. Duesler, J. Opt. Soc. Am. 58, 1663 (1968).
    [Crossref]
  17. G. Andermann and E. Duesler, J. Opt. Soc. Am. 60, 53 (1970).
    [Crossref]
  18. R. B. Sanderson, J. Phys. Chem. Solids 26, 803 (1965).
    [Crossref]
  19. G. Andermann, Ph.D. dissertation (University of Southern California, 1965).
  20. H. W. Hohls, Ann. Phys. 29, 433 (1937).
    [Crossref]
  21. M. Klier, Z. Phys. 150, 49 (1958).
    [Crossref]

1972 (2)

A. Kachare, G. Andermann, and L. R. Brantley, J. Phys. Chem. Solids 33, 467 (1972).
[Crossref]

A. Kachare, J. Layfield, and G. Andermann, Rev. Sci. Instr. 43, 625 (1972).
[Crossref]

1970 (1)

1968 (2)

1966 (1)

J. R. Jasperse, A. Kahan, J. N. Plendl, and S. S. Mitra, Phys. Rev. 146, 526 (1966).
[Crossref]

1965 (2)

1962 (1)

R. F. Wallis and A. A. Maradudin, Phys. Rev. 125, 4 (1962).
[Crossref]

1961 (2)

B. Szigeti, Proc. R. Soc. (Lond.) A261, 274 (1961).
[Crossref]

W. G. Spitzer and D. A. Kleinman, Phys. Rev. 121, 1934 (1961).
[Crossref]

1958 (1)

M. Klier, Z. Phys. 150, 49 (1958).
[Crossref]

1952 (1)

T. S. Robinson, Proc. R. Soc. (Lond.) B65, 910 (1952).

1937 (1)

H. W. Hohls, Ann. Phys. 29, 433 (1937).
[Crossref]

Andermann, G.

A. Kachare, G. Andermann, and L. R. Brantley, J. Phys. Chem. Solids 33, 467 (1972).
[Crossref]

A. Kachare, J. Layfield, and G. Andermann, Rev. Sci. Instr. 43, 625 (1972).
[Crossref]

G. Andermann and E. Duesler, J. Opt. Soc. Am. 60, 53 (1970).
[Crossref]

G. Andermann, C. K. Wu, and E. Duesler, J. Opt. Soc. Am. 58, 1663 (1968).
[Crossref]

C. K. Wu and G. Andermann, J. Opt. Soc. Am. 58, 519 (1968).
[Crossref]

G. Andermann, A. Caron, and D. A. Dows, J. Opt. Soc. Am. 55, 1210 (1965).
[Crossref]

G. Andermann, Ph.D. dissertation (University of Southern California, 1965).

Born, M.

M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Clarendon, Oxford, 1954).

Brantley, L. R.

A. Kachare, G. Andermann, and L. R. Brantley, J. Phys. Chem. Solids 33, 467 (1972).
[Crossref]

Caron, A.

Dows, D. A.

Duesler, E.

Frohlich, D.

D. Frohlich, Ph.D. dissertation (Johann-Wolfgang-Goethe Universitat, 1963).

Gottlieb, M.

M. Gottlieb, Ph.D. dissertation (University of Pennsylvania, 1959).

Hohls, H. W.

H. W. Hohls, Ann. Phys. 29, 433 (1937).
[Crossref]

Huang, K.

M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Clarendon, Oxford, 1954).

Jasperse, J. R.

J. R. Jasperse, A. Kahan, J. N. Plendl, and S. S. Mitra, Phys. Rev. 146, 526 (1966).
[Crossref]

Kachare, A.

A. Kachare, G. Andermann, and L. R. Brantley, J. Phys. Chem. Solids 33, 467 (1972).
[Crossref]

A. Kachare, J. Layfield, and G. Andermann, Rev. Sci. Instr. 43, 625 (1972).
[Crossref]

A. Kachare, Ph.D. dissertation (University of Hawaii, 1972).

Kahan, A.

J. R. Jasperse, A. Kahan, J. N. Plendl, and S. S. Mitra, Phys. Rev. 146, 526 (1966).
[Crossref]

Kleinman, D. A.

W. G. Spitzer and D. A. Kleinman, Phys. Rev. 121, 1934 (1961).
[Crossref]

Klier, M.

M. Klier, Z. Phys. 150, 49 (1958).
[Crossref]

Layfield, J.

A. Kachare, J. Layfield, and G. Andermann, Rev. Sci. Instr. 43, 625 (1972).
[Crossref]

Maradudin, A. A.

R. F. Wallis and A. A. Maradudin, Phys. Rev. 125, 4 (1962).
[Crossref]

Mitra, S. S.

J. R. Jasperse, A. Kahan, J. N. Plendl, and S. S. Mitra, Phys. Rev. 146, 526 (1966).
[Crossref]

Plendl, J. N.

J. R. Jasperse, A. Kahan, J. N. Plendl, and S. S. Mitra, Phys. Rev. 146, 526 (1966).
[Crossref]

Robinson, T. S.

T. S. Robinson, Proc. R. Soc. (Lond.) B65, 910 (1952).

Sanderson, R. B.

R. B. Sanderson, J. Phys. Chem. Solids 26, 803 (1965).
[Crossref]

Spitzer, W. G.

W. G. Spitzer and D. A. Kleinman, Phys. Rev. 121, 1934 (1961).
[Crossref]

Szigeti, B.

B. Szigeti, Proc. R. Soc. (Lond.) A261, 274 (1961).
[Crossref]

Wallis, R. F.

R. F. Wallis and A. A. Maradudin, Phys. Rev. 125, 4 (1962).
[Crossref]

Wu, C. K.

Ann. Phys. (1)

H. W. Hohls, Ann. Phys. 29, 433 (1937).
[Crossref]

J. Opt. Soc. Am. (4)

J. Phys. Chem. Solids (2)

R. B. Sanderson, J. Phys. Chem. Solids 26, 803 (1965).
[Crossref]

A. Kachare, G. Andermann, and L. R. Brantley, J. Phys. Chem. Solids 33, 467 (1972).
[Crossref]

Phys. Rev. (3)

R. F. Wallis and A. A. Maradudin, Phys. Rev. 125, 4 (1962).
[Crossref]

J. R. Jasperse, A. Kahan, J. N. Plendl, and S. S. Mitra, Phys. Rev. 146, 526 (1966).
[Crossref]

W. G. Spitzer and D. A. Kleinman, Phys. Rev. 121, 1934 (1961).
[Crossref]

Proc. R. Soc. (Lond.) (2)

T. S. Robinson, Proc. R. Soc. (Lond.) B65, 910 (1952).

B. Szigeti, Proc. R. Soc. (Lond.) A261, 274 (1961).
[Crossref]

Rev. Sci. Instr. (1)

A. Kachare, J. Layfield, and G. Andermann, Rev. Sci. Instr. 43, 625 (1972).
[Crossref]

Z. Phys. (1)

M. Klier, Z. Phys. 150, 49 (1958).
[Crossref]

Other (7)

M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Clarendon, Oxford, 1954).

E. Duesler, M.S. thesis (University of Hawaii, 1968).

A. Kachare, Ph.D. dissertation (University of Hawaii, 1972).

G. Andermann, Ph.D. dissertation (University of Southern California, 1965).

M. Gottlieb, Ph.D. dissertation (University of Pennsylvania, 1959).

D. Frohlich, Ph.D. dissertation (Johann-Wolfgang-Goethe Universitat, 1963).

C. K. Wu, M.S. thesis (University of Hawaii, 1967).

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Figures (8)

Fig. 1
Fig. 1

Experimental reflectance spectra: – · – 300 K; — — 80 K; —— 20K.

Fig. 2
Fig. 2

(Upper figure) Comparison of our Rx values with those of Frohlich: —— 300 K; — — 80 K. (Lower figure) Comparison of our Rx values with those of Jasperse et al.: – · – 300 K; — — 80 K; —— 20 K.

Fig. 3
Fig. 3

Rmin curves at 300 K; ○ this study; — — Frohlich; —— Wu, predicted. △ with front window on cryostat; □ without window on cryostat.

Fig. 4
Fig. 4

Refractive-index spectra in the high-frequency region at 300 K: —— this study, KK; — — JKPM–CD; ▲ Hohls (Ref. 20), experimental.

Fig. 5
Fig. 5

Absorption-index spectra at 300 K: + this study, KK; □ this study, experimental; ● Klier (Ref. 21), experimental; ▲ Frohlich, KK.

Fig. 6
Fig. 6

k spectra at 80 K: – – – this study, KK; — ● — this study, experimental; ▲ Klier, experimental; —— Frohlich, KK; — — JKPM–CD.

Fig. 7
Fig. 7

k spectra at 20 K; ● this study, KK; — — this study, experimental; —— JKPM–CD.

Fig. 8
Fig. 8

Absorption index values in the low-frequency region: —— 300 K, this study, KK; — — 80 K, this study, KK; – – – 20 K, this study, KK; ● 20 K, JKPM–CD; ■ 300 K, Frohlich, KK; ▲ 80 K, Frohlich, KK.

Tables (2)

Tables Icon

Table I LiF reflectance data at various temperatures.

Tables Icon

Table II Kramers–Kronig absorption-index values (kKK) for LiF at various temperatures.