Abstract

A study was made of the shift of the absorption edge in BaTiO3 caused by an applied electric field near the phase transition from the tetragonal phase to the cubic one. The absorption edge shifted to shorter wavelengths is independent of the direction of the field. This shift was measured as a function of temperature and field strength and shows a sharp maximum at the Curie temperature θ, a linear field dependence below θ, and a quadratic field dependence above θ.

© 1967 Optical Society of America

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References

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  1. R. Kern, J. Phys. Chem. Solids 23, 249 (1962).
    [CrossRef]
  2. G. Harbeke, J. Phys. Chem. Solids 24, 957 (1963).
    [CrossRef]
  3. V. M. Fridkin, K. Gulyamov, V. A. Lyakhovitskaya, V. N. Nosov, N. A. Tikhomirova, Fiz. Tverd. Tela 8, 1907 (1966); Soviet Phys.–Solid State 8, 1510 (1966).
  4. K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin, Dokl. Akad. Nauk SSSR 161, 1060 (1965); Soviet Phys.–Dokl. 10, 331 (1965).
  5. V. M. Fridkin, Zh. Eksperim. i Teor. Fiz. Pisma v Redaktisyu 3, 252 (1966); Soviet Phys.–JETP Letters 3, 161 (1966).
  6. K. A. Verkhovskaya, V. M. Fridkin, Fiz. Tverd. Tela 8, 1620 (1966); Soviet Phys.–Solid State 8, 1287 (1966).
  7. C. Gähwiller, Helv. Phys. Acta 38, 361 (1965).
  8. F. Iona, D. Shirane, Ferroelectric Crystals (Pergamon Press, New York, 1962), Chap. 4.

1966 (3)

V. M. Fridkin, K. Gulyamov, V. A. Lyakhovitskaya, V. N. Nosov, N. A. Tikhomirova, Fiz. Tverd. Tela 8, 1907 (1966); Soviet Phys.–Solid State 8, 1510 (1966).

V. M. Fridkin, Zh. Eksperim. i Teor. Fiz. Pisma v Redaktisyu 3, 252 (1966); Soviet Phys.–JETP Letters 3, 161 (1966).

K. A. Verkhovskaya, V. M. Fridkin, Fiz. Tverd. Tela 8, 1620 (1966); Soviet Phys.–Solid State 8, 1287 (1966).

1965 (2)

C. Gähwiller, Helv. Phys. Acta 38, 361 (1965).

K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin, Dokl. Akad. Nauk SSSR 161, 1060 (1965); Soviet Phys.–Dokl. 10, 331 (1965).

1963 (1)

G. Harbeke, J. Phys. Chem. Solids 24, 957 (1963).
[CrossRef]

1962 (1)

R. Kern, J. Phys. Chem. Solids 23, 249 (1962).
[CrossRef]

Fridkin, V. M.

V. M. Fridkin, K. Gulyamov, V. A. Lyakhovitskaya, V. N. Nosov, N. A. Tikhomirova, Fiz. Tverd. Tela 8, 1907 (1966); Soviet Phys.–Solid State 8, 1510 (1966).

K. A. Verkhovskaya, V. M. Fridkin, Fiz. Tverd. Tela 8, 1620 (1966); Soviet Phys.–Solid State 8, 1287 (1966).

V. M. Fridkin, Zh. Eksperim. i Teor. Fiz. Pisma v Redaktisyu 3, 252 (1966); Soviet Phys.–JETP Letters 3, 161 (1966).

K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin, Dokl. Akad. Nauk SSSR 161, 1060 (1965); Soviet Phys.–Dokl. 10, 331 (1965).

Gähwiller, C.

C. Gähwiller, Helv. Phys. Acta 38, 361 (1965).

Gulyamov, K.

V. M. Fridkin, K. Gulyamov, V. A. Lyakhovitskaya, V. N. Nosov, N. A. Tikhomirova, Fiz. Tverd. Tela 8, 1907 (1966); Soviet Phys.–Solid State 8, 1510 (1966).

K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin, Dokl. Akad. Nauk SSSR 161, 1060 (1965); Soviet Phys.–Dokl. 10, 331 (1965).

Harbeke, G.

G. Harbeke, J. Phys. Chem. Solids 24, 957 (1963).
[CrossRef]

Iona, F.

F. Iona, D. Shirane, Ferroelectric Crystals (Pergamon Press, New York, 1962), Chap. 4.

Kern, R.

R. Kern, J. Phys. Chem. Solids 23, 249 (1962).
[CrossRef]

Lyakhovitskaya, V. A.

V. M. Fridkin, K. Gulyamov, V. A. Lyakhovitskaya, V. N. Nosov, N. A. Tikhomirova, Fiz. Tverd. Tela 8, 1907 (1966); Soviet Phys.–Solid State 8, 1510 (1966).

K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin, Dokl. Akad. Nauk SSSR 161, 1060 (1965); Soviet Phys.–Dokl. 10, 331 (1965).

Nosov, V. N.

V. M. Fridkin, K. Gulyamov, V. A. Lyakhovitskaya, V. N. Nosov, N. A. Tikhomirova, Fiz. Tverd. Tela 8, 1907 (1966); Soviet Phys.–Solid State 8, 1510 (1966).

Shirane, D.

F. Iona, D. Shirane, Ferroelectric Crystals (Pergamon Press, New York, 1962), Chap. 4.

Tikhomirova, N. A.

V. M. Fridkin, K. Gulyamov, V. A. Lyakhovitskaya, V. N. Nosov, N. A. Tikhomirova, Fiz. Tverd. Tela 8, 1907 (1966); Soviet Phys.–Solid State 8, 1510 (1966).

K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin, Dokl. Akad. Nauk SSSR 161, 1060 (1965); Soviet Phys.–Dokl. 10, 331 (1965).

Verkhovskaya, K. A.

K. A. Verkhovskaya, V. M. Fridkin, Fiz. Tverd. Tela 8, 1620 (1966); Soviet Phys.–Solid State 8, 1287 (1966).

Dokl. Akad. Nauk SSSR (1)

K. Gulyamov, V. A. Lyakhovitskaya, N. A. Tikhomirova, V. M. Fridkin, Dokl. Akad. Nauk SSSR 161, 1060 (1965); Soviet Phys.–Dokl. 10, 331 (1965).

Fiz. Tverd. Tela (2)

K. A. Verkhovskaya, V. M. Fridkin, Fiz. Tverd. Tela 8, 1620 (1966); Soviet Phys.–Solid State 8, 1287 (1966).

V. M. Fridkin, K. Gulyamov, V. A. Lyakhovitskaya, V. N. Nosov, N. A. Tikhomirova, Fiz. Tverd. Tela 8, 1907 (1966); Soviet Phys.–Solid State 8, 1510 (1966).

Helv. Phys. Acta (1)

C. Gähwiller, Helv. Phys. Acta 38, 361 (1965).

J. Phys. Chem. Solids (2)

R. Kern, J. Phys. Chem. Solids 23, 249 (1962).
[CrossRef]

G. Harbeke, J. Phys. Chem. Solids 24, 957 (1963).
[CrossRef]

Zh. Eksperim. i Teor. Fiz. Pisma v Redaktisyu (1)

V. M. Fridkin, Zh. Eksperim. i Teor. Fiz. Pisma v Redaktisyu 3, 252 (1966); Soviet Phys.–JETP Letters 3, 161 (1966).

Other (1)

F. Iona, D. Shirane, Ferroelectric Crystals (Pergamon Press, New York, 1962), Chap. 4.

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Figures (4)

Fig. 1
Fig. 1

Temperature dependence of the absorption edge of BaTiO3 near the upper phase transition (curve 1). Shift of the absorption edge of BaTiO3 under a dc field of 1.1 kV cm−1 temperature near the phase transition (curve 2).

Fig. 2
Fig. 2

The dependence of [1/(ΔEgF)]2 on temperature. F = 1.1 kV cm−1.

Fig. 3
Fig. 3

(a) dc field dependence of the shift of absorption edge ΔEgF in the ferroelectric region at T = 105°C. (b) Shift of the absorption edge ΔEgF vs the square of the applied field in the paraelectric region at T = 129°C.

Fig. 4
Fig. 4

(a) dc field dependence of the shift of absorption edge Curves ΔEgF in the paraelectric region near the phase transition. Curves 1–6 correspond to the temperatures: T = 111.5°, 112°, 112.5°, 113.5°, 114.5°, and 115.5°. (b) Field strength Fc vs temperature of the crystal.

Tables (1)

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Table I Comparison of Field Dependence Coefficients

Equations (1)

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d E g d F = i = 1 3 E g r i i d r i i d F + ( E g F ) ,

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