Abstract

The effect of pressure on the optical rotatory power and dispersion has been investigated on single crystals of α-quartz over a pressure range of 3.5 kbar in the visible region of the spectrum. The optical rotatory power is found to decrease linearly with pressure with the magnitude of /dP increasing with decreasing wavelengths. These results are shown to be in accordance with the pressure variation of a single-term quadratic dispersion equation.

© 1966 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. B. Sosman, The Properties of Silica (Chemical Catalog Company, Inc., New York, 1929), p. 770.
  2. W. G. Cady, Piezo-electricity (Dover Publications, Inc., New York, 1964).
  3. G. N. Ramachandran and V. Chandrasekharan, Proc. Ind. Acad. Sci. 33A, 199 (1951).
  4. S. Chandrasekhar, Proc. Roy. Soc. (London) 259, 531 (1961).
    [CrossRef]
  5. S. Ramaseshan, K. Vedam, and R. S. Krishnan in Progress in Crystal Physics, edited by R. S. Krishnan (Interscience Publishers, Inc., New York, 1960), p. 139.
  6. R. M. Waxler and C. E. Weir, J. Res. Natl. Bur. Std. 69A, 4, 325 (1965).
    [CrossRef]
  7. M. B. Myers and K. Vedam, J. Opt. Soc. Am. 55, 1180 (1965).
    [CrossRef]
  8. A. K. Ramdas, Proc. Ind. Acad. Sci. 35A, 89 (1952).
  9. S. Chandrasekhar, ibid.,  37, 458 (1953).
  10. S. Chandrasekhar, ibid.,  37, 697 (1953).
  11. S. Chandrasekhar, ibid.,  39, 243 (1954).
  12. V. Vysin, Vest. Mosk. Gos. Univ. 3, 6 (1963).
  13. V. A. Kizel, Y. I. Krasilov, and V. N. Shamraev, Opt. Spectry. 17, 470 (1964).
  14. S. Chandrasekhar, Proc. Ind. Acad. Sci. 37, 468 (1953).
  15. W. Kuhn, Z. Physik. Chemie,  B4(14), 14 (1929).
  16. V. Vysin, Proc. Phys. Soc. (London) 87, 55 (1966).
    [CrossRef]
  17. C. P. Gopalakrishnan, J. Indian Inst. Sci. 39, 13 (1957).
  18. G. N. Ramachandran and T. Radhakrishnan, Phil. Mag. 43, 317 (1952).

1966 (1)

V. Vysin, Proc. Phys. Soc. (London) 87, 55 (1966).
[CrossRef]

1965 (2)

R. M. Waxler and C. E. Weir, J. Res. Natl. Bur. Std. 69A, 4, 325 (1965).
[CrossRef]

M. B. Myers and K. Vedam, J. Opt. Soc. Am. 55, 1180 (1965).
[CrossRef]

1964 (1)

V. A. Kizel, Y. I. Krasilov, and V. N. Shamraev, Opt. Spectry. 17, 470 (1964).

1963 (1)

V. Vysin, Vest. Mosk. Gos. Univ. 3, 6 (1963).

1961 (1)

S. Chandrasekhar, Proc. Roy. Soc. (London) 259, 531 (1961).
[CrossRef]

1957 (1)

C. P. Gopalakrishnan, J. Indian Inst. Sci. 39, 13 (1957).

1954 (1)

S. Chandrasekhar, ibid.,  39, 243 (1954).

1953 (3)

S. Chandrasekhar, ibid.,  37, 458 (1953).

S. Chandrasekhar, ibid.,  37, 697 (1953).

S. Chandrasekhar, Proc. Ind. Acad. Sci. 37, 468 (1953).

1952 (2)

G. N. Ramachandran and T. Radhakrishnan, Phil. Mag. 43, 317 (1952).

A. K. Ramdas, Proc. Ind. Acad. Sci. 35A, 89 (1952).

1951 (1)

G. N. Ramachandran and V. Chandrasekharan, Proc. Ind. Acad. Sci. 33A, 199 (1951).

1929 (1)

W. Kuhn, Z. Physik. Chemie,  B4(14), 14 (1929).

Cady, W. G.

W. G. Cady, Piezo-electricity (Dover Publications, Inc., New York, 1964).

Chandrasekhar, S.

S. Chandrasekhar, Proc. Roy. Soc. (London) 259, 531 (1961).
[CrossRef]

S. Chandrasekhar, ibid.,  39, 243 (1954).

S. Chandrasekhar, ibid.,  37, 458 (1953).

S. Chandrasekhar, ibid.,  37, 697 (1953).

S. Chandrasekhar, Proc. Ind. Acad. Sci. 37, 468 (1953).

Chandrasekharan, V.

G. N. Ramachandran and V. Chandrasekharan, Proc. Ind. Acad. Sci. 33A, 199 (1951).

Gopalakrishnan, C. P.

C. P. Gopalakrishnan, J. Indian Inst. Sci. 39, 13 (1957).

Kizel, V. A.

V. A. Kizel, Y. I. Krasilov, and V. N. Shamraev, Opt. Spectry. 17, 470 (1964).

Krasilov, Y. I.

V. A. Kizel, Y. I. Krasilov, and V. N. Shamraev, Opt. Spectry. 17, 470 (1964).

Krishnan, R. S.

S. Ramaseshan, K. Vedam, and R. S. Krishnan in Progress in Crystal Physics, edited by R. S. Krishnan (Interscience Publishers, Inc., New York, 1960), p. 139.

Kuhn, W.

W. Kuhn, Z. Physik. Chemie,  B4(14), 14 (1929).

Myers, M. B.

Radhakrishnan, T.

G. N. Ramachandran and T. Radhakrishnan, Phil. Mag. 43, 317 (1952).

Ramachandran, G. N.

G. N. Ramachandran and T. Radhakrishnan, Phil. Mag. 43, 317 (1952).

G. N. Ramachandran and V. Chandrasekharan, Proc. Ind. Acad. Sci. 33A, 199 (1951).

Ramaseshan, S.

S. Ramaseshan, K. Vedam, and R. S. Krishnan in Progress in Crystal Physics, edited by R. S. Krishnan (Interscience Publishers, Inc., New York, 1960), p. 139.

Ramdas, A. K.

A. K. Ramdas, Proc. Ind. Acad. Sci. 35A, 89 (1952).

Shamraev, V. N.

V. A. Kizel, Y. I. Krasilov, and V. N. Shamraev, Opt. Spectry. 17, 470 (1964).

Sosman, R. B.

R. B. Sosman, The Properties of Silica (Chemical Catalog Company, Inc., New York, 1929), p. 770.

Vedam, K.

M. B. Myers and K. Vedam, J. Opt. Soc. Am. 55, 1180 (1965).
[CrossRef]

S. Ramaseshan, K. Vedam, and R. S. Krishnan in Progress in Crystal Physics, edited by R. S. Krishnan (Interscience Publishers, Inc., New York, 1960), p. 139.

Vysin, V.

V. Vysin, Proc. Phys. Soc. (London) 87, 55 (1966).
[CrossRef]

V. Vysin, Vest. Mosk. Gos. Univ. 3, 6 (1963).

Waxler, R. M.

R. M. Waxler and C. E. Weir, J. Res. Natl. Bur. Std. 69A, 4, 325 (1965).
[CrossRef]

Weir, C. E.

R. M. Waxler and C. E. Weir, J. Res. Natl. Bur. Std. 69A, 4, 325 (1965).
[CrossRef]

ibid. (3)

S. Chandrasekhar, ibid.,  37, 458 (1953).

S. Chandrasekhar, ibid.,  37, 697 (1953).

S. Chandrasekhar, ibid.,  39, 243 (1954).

J. Indian Inst. Sci. (1)

C. P. Gopalakrishnan, J. Indian Inst. Sci. 39, 13 (1957).

J. Opt. Soc. Am. (1)

J. Res. Natl. Bur. Std. (1)

R. M. Waxler and C. E. Weir, J. Res. Natl. Bur. Std. 69A, 4, 325 (1965).
[CrossRef]

Opt. Spectry. (1)

V. A. Kizel, Y. I. Krasilov, and V. N. Shamraev, Opt. Spectry. 17, 470 (1964).

Phil. Mag. (1)

G. N. Ramachandran and T. Radhakrishnan, Phil. Mag. 43, 317 (1952).

Proc. Ind. Acad. Sci. (3)

S. Chandrasekhar, Proc. Ind. Acad. Sci. 37, 468 (1953).

A. K. Ramdas, Proc. Ind. Acad. Sci. 35A, 89 (1952).

G. N. Ramachandran and V. Chandrasekharan, Proc. Ind. Acad. Sci. 33A, 199 (1951).

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

V. Vysin, Proc. Phys. Soc. (London) 87, 55 (1966).
[CrossRef]

Proc. Roy. Soc. (London) (1)

S. Chandrasekhar, Proc. Roy. Soc. (London) 259, 531 (1961).
[CrossRef]

Vest. Mosk. Gos. Univ. (1)

V. Vysin, Vest. Mosk. Gos. Univ. 3, 6 (1963).

Z. Physik. Chemie (1)

W. Kuhn, Z. Physik. Chemie,  B4(14), 14 (1929).

Other (3)

S. Ramaseshan, K. Vedam, and R. S. Krishnan in Progress in Crystal Physics, edited by R. S. Krishnan (Interscience Publishers, Inc., New York, 1960), p. 139.

R. B. Sosman, The Properties of Silica (Chemical Catalog Company, Inc., New York, 1929), p. 770.

W. G. Cady, Piezo-electricity (Dover Publications, Inc., New York, 1964).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Schematic drawing of experimental arrangement.

Fig. 2
Fig. 2

Cross-sectional view of the optical high-pressure vessel.

Fig. 3
Fig. 3

Crystal holder (cross-sectional and isometric views).

Fig. 4
Fig. 4

Variation of the optical rotatory power of α-quartz with hydrostatic pressure, T = 25°C.

Fig. 5
Fig. 5

Comparison of experimental data for α-quartz for λ5461 Å and λ4358 Å with dρ/dP calculated from data for λ5893 Å.

Tables (2)

Tables Icon

Table I Values of dρ/dP for α-quartz, (units: deg/mm/kbar.)

Tables Icon

Table II Comparison of parameters from dρ/dP and dn/dP equations (units 10−12 cm2/dyn).

Equations (14)

Equations on this page are rendered with MathJax. Learn more.

ρ = i Q i / ( λ 2 λ i 2 ) ,
ρ = i k i λ 2 / ( λ 2 λ i 2 ) 2 ,
ρ = [ A 0 N f λ 2 / ( λ 2 λ 0 2 ) 2 ] ,
A 0 = ( π e 2 d sin θ λ 0 4 / m c 4 ) [ ( α 1 2 + β 1 2 ) / 2 ] ,
( d ρ / d P ) = [ 4 ρ λ 2 / ( λ 2 λ 0 2 ) ] π 0 + ρ β ,
π 0 = ( 1 / λ 0 ) ( d λ 0 / d P ) T
β = ( 1 / V ) ( d V / d P ) T = ( 1 / N ) ( d N / d P ) T .
n 2 1 = 4 π N α ,
d n / d P = β [ ( n 2 1 ) / 2 n ] [ 1 + ( σ / α ) ( d α / d σ ) T ] ,
α = [ a f λ 2 / ( λ 2 λ 0 2 ) ]
σ ( d α / d σ ) T = ( 1 / β ) ( d α / d P ) T ,
d n / d P = β [ ( n 2 1 ) / 2 n ] { 1 + [ λ 2 / ( λ 2 λ 0 2 ) ] π 0 } ,
d ρ / d P = [ 4 ρ λ 2 / ( λ 2 λ 0 2 ) ] π 0 + ρ β + ρ Γ ,
Γ = j 1 x j n d d P x j n