Abstract

On combining the measured reflectance, transmittance, and thickness of vapor-quenched thin-film systems, we have determined the optical constants and the reflectance of a metastable A1-type Se phase which was found to behave in typically metallic fashion and to become more reflecting the smaller the lattice constant.

© 1976 Optical Society of America

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References

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  1. C. Reale, “Fcc metallic superconducting phase observed in vapor-quenched Se and Te films,” J. Low Temp. Phys. 24, 289–395 (1976).
    [CrossRef]
  2. The terms “overlay” and “base film” are used to designate, respectively, the upper and lower films of a double-layer coating.
  3. The terms “vapor-quenched,” “quench-condensed,” and “quench-deposited” are synonyms and indicate that the films have been obtained by vapor-to-solid transformation taking place at temperatures so low that, because of the lack of atomic mobility, metastable phases may be frozen.
  4. K. L. Chopra, Thin Film Phenomena (McGraw-Hill, New York, 1969), pp. 91–96.
  5. Z. Knittl, Optics of Thin Films (Wiley, London, 1976), pp. 49–51.
  6. C. Reale, Fisica delle Pellicole Scottili (Tamburini, Milano, 1976), pp. 113–120.
  7. O. S. Heavens, “Optical constants of thin films,” in Physics of Thin Films, Vol. 2, edited by G. Hass and R. E. Thun (Academic, New York, 1964), pp. 203–209.

1976 (1)

C. Reale, “Fcc metallic superconducting phase observed in vapor-quenched Se and Te films,” J. Low Temp. Phys. 24, 289–395 (1976).
[CrossRef]

Chopra, K. L.

K. L. Chopra, Thin Film Phenomena (McGraw-Hill, New York, 1969), pp. 91–96.

Heavens, O. S.

O. S. Heavens, “Optical constants of thin films,” in Physics of Thin Films, Vol. 2, edited by G. Hass and R. E. Thun (Academic, New York, 1964), pp. 203–209.

Knittl, Z.

Z. Knittl, Optics of Thin Films (Wiley, London, 1976), pp. 49–51.

Reale, C.

C. Reale, “Fcc metallic superconducting phase observed in vapor-quenched Se and Te films,” J. Low Temp. Phys. 24, 289–395 (1976).
[CrossRef]

C. Reale, Fisica delle Pellicole Scottili (Tamburini, Milano, 1976), pp. 113–120.

J. Low Temp. Phys. (1)

C. Reale, “Fcc metallic superconducting phase observed in vapor-quenched Se and Te films,” J. Low Temp. Phys. 24, 289–395 (1976).
[CrossRef]

Other (6)

The terms “overlay” and “base film” are used to designate, respectively, the upper and lower films of a double-layer coating.

The terms “vapor-quenched,” “quench-condensed,” and “quench-deposited” are synonyms and indicate that the films have been obtained by vapor-to-solid transformation taking place at temperatures so low that, because of the lack of atomic mobility, metastable phases may be frozen.

K. L. Chopra, Thin Film Phenomena (McGraw-Hill, New York, 1969), pp. 91–96.

Z. Knittl, Optics of Thin Films (Wiley, London, 1976), pp. 49–51.

C. Reale, Fisica delle Pellicole Scottili (Tamburini, Milano, 1976), pp. 113–120.

O. S. Heavens, “Optical constants of thin films,” in Physics of Thin Films, Vol. 2, edited by G. Hass and R. E. Thun (Academic, New York, 1964), pp. 203–209.

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Figures (2)

FIG. 1
FIG. 1

Wavelength dependence of the real (a) and imaginary (b) parts of the refractive index of both A1-type Se overlays quench-condensed on B1-type base films of the oxides given inside the figure (full curves) and amorphous Se deposits vapor-quenched directly on the glass substrates (broken curves). The points indicate values which are means of those derived from the reflectance and transmittance of a large number of specimens, that were spectrophotometrically determined with an accuracy of approximately ± 0.1 %, which, together with some irregularities in the distribution of the single values about the means, results in a uncertainty of less than 1.2% in both optical constants, which is not shown in the graph. All the layers taken into account are about 1000 Å thick.

FIG. 2
FIG. 2

Wavelength dependence of the reflectance of bulk A1-type (full curves) and amorphous (broken curve) Se derived from the data of Fig. 1.

Tables (1)

Tables Icon

TABLE I Lattice constant and density at 4.2 K, a and d, bulk abnormal-to-normal phase transition temperature, Tt, bulk superconducting critical temperature, Tc, and bulk reflectance in the 4000–7600 Å spectral region, Rb, of A1-type Se modifications grown on various B1-type oxide base films. Each value is a mean of those obtained for a large number of samples.

Equations (5)

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R = r 2 ,             T = ( n s / n 0 ) t 2 ,
r = r 1 + r 2 exp ( - 2 i α 1 ) + r 3 exp [ - 2 i ( α 1 + α 2 ) ] + r 1 r 2 r 3 exp ( - 2 i α 2 ) 1 + r 1 r 2 exp ( - 2 i α 1 ) + r 1 r 3 exp [ - 2 i ( α 1 + α 2 ) ] + r 2 r 3 exp ( - 2 i α 2 ) , t = t 1 t 2 t 3 exp [ - i ( α 1 + α 2 ) ] 1 + r 1 r 2 exp ( - 2 i α 1 ) + r 1 r 3 exp [ - 2 i ( α 1 + α 2 ) ] + r 2 r 3 exp ( - 2 i α 2 ) ,
r 1 = n 0 - n 1 + i k 1 n 0 + n 1 - i k 1 ,             r 2 = n 1 - i k 1 - n 2 n 1 - i k 1 + n 2 ,             r 3 = n 2 - n s n 2 + n s , t 1 = 2 n 0 n 0 + n 1 - i k 1 ,             t 2 = 2 ( n 1 - i k 1 ) n 1 - i k 1 + n 2 ,             t 3 = 2 n 2 n 2 + n s , α 1 = 2 π n 1 d 1 λ ,             α 2 = 2 π n 2 d 2 λ ,
r = r 1 + r 2 exp ( - 2 i α 1 ) 1 + r 1 r 2 exp ( - 2 i α 1 ) ,             t = t 1 t 2 exp ( - i α 1 ) 1 + r 1 r 2 exp ( - 2 i α 1 ) ,
R b = [ ( n 1 - n 0 ) 2 + k 1 2 ] / [ ( n 1 + n 0 ) 2 + k 1 2 ] ,