Abstract

The temperature and pressure variations of the refractive index for a Type IIa diamond have been measured at audio frequencies using capacitance techniques. Measurements have been made at zero pressure over the 5.5–340-K temperature range and at pressures up to 1.4 × 108 Pa (1.4 kbar) at room temperature. At room temperature, (1/n)(dn/dT)p = +4.04 × 10−6/K and (1/n)(dn/dp)T = −0.36 × 10−12/Pa. In addition, the curvature in the refractive index with temperature has been determined. The first-order derivatives are compared with previous experimental data and the recent theoretical calculations of Van Vechten and Yu and Cardona.

© 1977 Optical Society of America

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References

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  1. J. A. Van Vechten, Phys. Rev. 182, 891 (1969).
    [Crossref]
  2. P. Y. Yu, M. Cardona, Phys. Rev. B 2, 3193 (1970).
    [Crossref]
  3. J. Fontanella, C. Andeen, J. Phys. C 9, 1055 (1976).
    [Crossref]
  4. AIP Handbook (McGraw-Hill, New York, 1963), pp. 4–66.
  5. P. T. Narasimhan, Proc. Phys. Soc. London Sect. B 68, 315 (1955).
    [Crossref]
  6. H. J. McSkimin, P. Andreatch, P. Glynn, J. Appl. Phys. 43, 985 (1972).
    [Crossref]
  7. E. D. D. Schmidt, J. L. Kirk, K. Vedam, Am. Mineral. 53, 1404 (1968).
  8. R. M. Waxler, C. E. Weir, J. Res. Natl. Bur. Stand. Sect. A 69, 325 (1965).
    [Crossref]
  9. R. M. Denning, A. A. Giardini, E. Poindexter, C. B. Slawson, Am. Mineral. 42, 556 (1957).
  10. G. N. Ramachandran, Proc. Indian Acad. Sci. Sect. A 32, 171 (1950); as corrected by Grimsditch and Ramdas.11
  11. M. H. Grimsditch, A. K. Ramdas, Phys. Rev. B 11, 3139 (1975).
    [Crossref]

1976 (1)

J. Fontanella, C. Andeen, J. Phys. C 9, 1055 (1976).
[Crossref]

1975 (1)

M. H. Grimsditch, A. K. Ramdas, Phys. Rev. B 11, 3139 (1975).
[Crossref]

1972 (1)

H. J. McSkimin, P. Andreatch, P. Glynn, J. Appl. Phys. 43, 985 (1972).
[Crossref]

1970 (1)

P. Y. Yu, M. Cardona, Phys. Rev. B 2, 3193 (1970).
[Crossref]

1969 (1)

J. A. Van Vechten, Phys. Rev. 182, 891 (1969).
[Crossref]

1968 (1)

E. D. D. Schmidt, J. L. Kirk, K. Vedam, Am. Mineral. 53, 1404 (1968).

1965 (1)

R. M. Waxler, C. E. Weir, J. Res. Natl. Bur. Stand. Sect. A 69, 325 (1965).
[Crossref]

1957 (1)

R. M. Denning, A. A. Giardini, E. Poindexter, C. B. Slawson, Am. Mineral. 42, 556 (1957).

1955 (1)

P. T. Narasimhan, Proc. Phys. Soc. London Sect. B 68, 315 (1955).
[Crossref]

1950 (1)

G. N. Ramachandran, Proc. Indian Acad. Sci. Sect. A 32, 171 (1950); as corrected by Grimsditch and Ramdas.11

Andeen, C.

J. Fontanella, C. Andeen, J. Phys. C 9, 1055 (1976).
[Crossref]

Andreatch, P.

H. J. McSkimin, P. Andreatch, P. Glynn, J. Appl. Phys. 43, 985 (1972).
[Crossref]

Cardona, M.

P. Y. Yu, M. Cardona, Phys. Rev. B 2, 3193 (1970).
[Crossref]

Denning, R. M.

R. M. Denning, A. A. Giardini, E. Poindexter, C. B. Slawson, Am. Mineral. 42, 556 (1957).

Fontanella, J.

J. Fontanella, C. Andeen, J. Phys. C 9, 1055 (1976).
[Crossref]

Giardini, A. A.

R. M. Denning, A. A. Giardini, E. Poindexter, C. B. Slawson, Am. Mineral. 42, 556 (1957).

Glynn, P.

H. J. McSkimin, P. Andreatch, P. Glynn, J. Appl. Phys. 43, 985 (1972).
[Crossref]

Grimsditch, M. H.

M. H. Grimsditch, A. K. Ramdas, Phys. Rev. B 11, 3139 (1975).
[Crossref]

Kirk, J. L.

E. D. D. Schmidt, J. L. Kirk, K. Vedam, Am. Mineral. 53, 1404 (1968).

McSkimin, H. J.

H. J. McSkimin, P. Andreatch, P. Glynn, J. Appl. Phys. 43, 985 (1972).
[Crossref]

Narasimhan, P. T.

P. T. Narasimhan, Proc. Phys. Soc. London Sect. B 68, 315 (1955).
[Crossref]

Poindexter, E.

R. M. Denning, A. A. Giardini, E. Poindexter, C. B. Slawson, Am. Mineral. 42, 556 (1957).

Ramachandran, G. N.

G. N. Ramachandran, Proc. Indian Acad. Sci. Sect. A 32, 171 (1950); as corrected by Grimsditch and Ramdas.11

Ramdas, A. K.

M. H. Grimsditch, A. K. Ramdas, Phys. Rev. B 11, 3139 (1975).
[Crossref]

Schmidt, E. D. D.

E. D. D. Schmidt, J. L. Kirk, K. Vedam, Am. Mineral. 53, 1404 (1968).

Slawson, C. B.

R. M. Denning, A. A. Giardini, E. Poindexter, C. B. Slawson, Am. Mineral. 42, 556 (1957).

Van Vechten, J. A.

J. A. Van Vechten, Phys. Rev. 182, 891 (1969).
[Crossref]

Vedam, K.

E. D. D. Schmidt, J. L. Kirk, K. Vedam, Am. Mineral. 53, 1404 (1968).

Waxler, R. M.

R. M. Waxler, C. E. Weir, J. Res. Natl. Bur. Stand. Sect. A 69, 325 (1965).
[Crossref]

Weir, C. E.

R. M. Waxler, C. E. Weir, J. Res. Natl. Bur. Stand. Sect. A 69, 325 (1965).
[Crossref]

Yu, P. Y.

P. Y. Yu, M. Cardona, Phys. Rev. B 2, 3193 (1970).
[Crossref]

Am. Mineral. (2)

E. D. D. Schmidt, J. L. Kirk, K. Vedam, Am. Mineral. 53, 1404 (1968).

R. M. Denning, A. A. Giardini, E. Poindexter, C. B. Slawson, Am. Mineral. 42, 556 (1957).

J. Appl. Phys. (1)

H. J. McSkimin, P. Andreatch, P. Glynn, J. Appl. Phys. 43, 985 (1972).
[Crossref]

J. Phys. C (1)

J. Fontanella, C. Andeen, J. Phys. C 9, 1055 (1976).
[Crossref]

J. Res. Natl. Bur. Stand. Sect. A (1)

R. M. Waxler, C. E. Weir, J. Res. Natl. Bur. Stand. Sect. A 69, 325 (1965).
[Crossref]

Phys. Rev. (1)

J. A. Van Vechten, Phys. Rev. 182, 891 (1969).
[Crossref]

Phys. Rev. B (2)

P. Y. Yu, M. Cardona, Phys. Rev. B 2, 3193 (1970).
[Crossref]

M. H. Grimsditch, A. K. Ramdas, Phys. Rev. B 11, 3139 (1975).
[Crossref]

Proc. Indian Acad. Sci. Sect. A (1)

G. N. Ramachandran, Proc. Indian Acad. Sci. Sect. A 32, 171 (1950); as corrected by Grimsditch and Ramdas.11

Proc. Phys. Soc. London Sect. B (1)

P. T. Narasimhan, Proc. Phys. Soc. London Sect. B 68, 315 (1955).
[Crossref]

Other (1)

AIP Handbook (McGraw-Hill, New York, 1963), pp. 4–66.

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Tables (2)

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Table I Capacitance Ratio, Expansivity, Dielectric Constant, and Refractive Index vs Temperature

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Table II Literature Values for the Pressure Derivative of the Refractive Index

Equations (10)

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C / C 300 = 1.000168 - 1.0225 × 10 - 5 T + 3.222 × 10 - 8 T 2 .
C = ( 0 A ) / d ,
T 300 = C T C 300 exp ( - 300 T α p d T ) ,
= 5.70111 - 5.35167 × 10 - 5 T + 1.6603 × 10 - 7 T 2 .
1 300 ( d d T ) p = 8.09 × 10 - 6 / K .
1 n ( d n d T ) p = 4.04 × 10 - 6 / K .
1 C ( d C d p ) T = - 1.47 × 10 - 12 / Pa .
1 ( d d p ) T = 1 C ( d C d p ) T + χ T 3 ,
1 ( d d p ) T = - 0.72 × 10 - 12 / Pa ,
1 n ( d n d p ) T = - 0.36 × 10 - 12 / Pa .

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