Abstract

Two biaxial crystals having mirror planes were experimentally investigated for optical activity. No rotation occurred in (C9H12O4)2, the only crystal of this type previously reported to be optically active. The previous report had been based on the peculiar pattern the crystal production in a polarizing microscope. In NaNO2, a ferroelectric crystal of class mm2, the plane of polarization was rotated 15.7°+0.5°/mm as 6328-Å light propagated down either axis. Down one axis the rotation was clockwise, down the other counterclockwise. This indicates that the structure of NaNO2 consists of a right- and left-handed helix with their axes oriented along the optical axes. The angles between the helices are bisected by mirror planes.

© 1970 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).
  2. J. F. Nye, Physical Properties of Crystals (Oxford University Press, London, 1964).
  3. M. V. Hobden, Acta Cryst. A24676 (1968).
  4. M. V. Hobden, Acta Cryst. A25, 633 (1969).
  5. E. Sommerfeldt, Phys. Z. 7, 207 (1906).
  6. D. Rogers, Nature 171, 929 (1953).
    [CrossRef]
  7. V. B. Tartaskii, Sov. Phys. Crystallogr. 9, 377 (1964).
  8. W. Federline, Ann. Chem. 356, 271 (1907).
  9. S. Sawada and et al., Phys. Rev. Letters 1, 320 (1958).
    [CrossRef]
  10. M. I. Kay and B. C. Frazer, Acta Cryst. 14, 56 (1961).
    [CrossRef]
  11. P. H. Egli and L. R. Johnson, in The Art and Science of Growing Crystals, edited by J. J. Gillman (Wiley, New York, 1963), p. 194.

1969 (1)

M. V. Hobden, Acta Cryst. A25, 633 (1969).

1968 (1)

M. V. Hobden, Acta Cryst. A24676 (1968).

1964 (1)

V. B. Tartaskii, Sov. Phys. Crystallogr. 9, 377 (1964).

1961 (1)

M. I. Kay and B. C. Frazer, Acta Cryst. 14, 56 (1961).
[CrossRef]

1958 (1)

S. Sawada and et al., Phys. Rev. Letters 1, 320 (1958).
[CrossRef]

1953 (1)

D. Rogers, Nature 171, 929 (1953).
[CrossRef]

1907 (1)

W. Federline, Ann. Chem. 356, 271 (1907).

1906 (1)

E. Sommerfeldt, Phys. Z. 7, 207 (1906).

Egli, P. H.

P. H. Egli and L. R. Johnson, in The Art and Science of Growing Crystals, edited by J. J. Gillman (Wiley, New York, 1963), p. 194.

Federline, W.

W. Federline, Ann. Chem. 356, 271 (1907).

Frazer, B. C.

M. I. Kay and B. C. Frazer, Acta Cryst. 14, 56 (1961).
[CrossRef]

Hobden, M. V.

M. V. Hobden, Acta Cryst. A25, 633 (1969).

M. V. Hobden, Acta Cryst. A24676 (1968).

Johnson, L. R.

P. H. Egli and L. R. Johnson, in The Art and Science of Growing Crystals, edited by J. J. Gillman (Wiley, New York, 1963), p. 194.

Kay, M. I.

M. I. Kay and B. C. Frazer, Acta Cryst. 14, 56 (1961).
[CrossRef]

Landau, L. D.

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).

Lifshitz, E. M.

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).

Nye, J. F.

J. F. Nye, Physical Properties of Crystals (Oxford University Press, London, 1964).

Rogers, D.

D. Rogers, Nature 171, 929 (1953).
[CrossRef]

Sawada, S.

S. Sawada and et al., Phys. Rev. Letters 1, 320 (1958).
[CrossRef]

Sommerfeldt, E.

E. Sommerfeldt, Phys. Z. 7, 207 (1906).

Tartaskii, V. B.

V. B. Tartaskii, Sov. Phys. Crystallogr. 9, 377 (1964).

Acta Cryst. (3)

M. V. Hobden, Acta Cryst. A24676 (1968).

M. V. Hobden, Acta Cryst. A25, 633 (1969).

M. I. Kay and B. C. Frazer, Acta Cryst. 14, 56 (1961).
[CrossRef]

Ann. Chem. (1)

W. Federline, Ann. Chem. 356, 271 (1907).

Nature (1)

D. Rogers, Nature 171, 929 (1953).
[CrossRef]

Phys. Rev. Letters (1)

S. Sawada and et al., Phys. Rev. Letters 1, 320 (1958).
[CrossRef]

Phys. Z. (1)

E. Sommerfeldt, Phys. Z. 7, 207 (1906).

Sov. Phys. Crystallogr. (1)

V. B. Tartaskii, Sov. Phys. Crystallogr. 9, 377 (1964).

Other (3)

L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).

J. F. Nye, Physical Properties of Crystals (Oxford University Press, London, 1964).

P. H. Egli and L. R. Johnson, in The Art and Science of Growing Crystals, edited by J. J. Gillman (Wiley, New York, 1963), p. 194.

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 (3)

Fig. 1
Fig. 1

Biaxial crystal (C9H12O4)2 as grown from ether solution. The (001) plane is shown on the right. The plane containing the two optical axes is perpendicular to it.

Fig. 2
Fig. 2

Biaxial crystal NaNO2 as grown from aqueous solution. The (010) plane is shown on the right with cleavage planes (101) and (10 1 ¯) indicated. The optical axes lie in the (010) plane. The angle α is about 33°.

Fig. 3
Fig. 3

The transmitted flux vs position along the dark arm of the interference pattern. The polarizer and analyzer were crossed. Angular divergence for the first two fringes is about 1 2 ° for an NaNO2 plate about 1.0 mm thick. The solid line is calculated from Eq. (3). The triangles are the measured values.

Tables (1)

Tables Icon

Table I Measurements of rotation of the plane of polarization in NaNO2 crystal plates as light of 6328 Å propagated along the optical axes.

Equations (1)

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

I l 2 X 2 [ sin ( Δ k l / 2 ) 2 / ( Δ k l / 2 ) ] ,