Abstract

The optical constants below the fundamental absorption edge (up to 5 μm) of silicon single crystals and sputtered amorphous silicon films at high temperatures (up to 800°C) have been determined and the photothermal efficiencies of silicon–metal selective absorbers for thermal solar energy conversion calculated.

© 1977 Optical Society of America

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References

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  1. J. Jurisson, R. E. Peterson, H. Y. B. Mar, J. Vac. Sci. Technol. 12, 1010 (1975).
    [CrossRef]
  2. Chemical Vapor Deposition Research for Fabrication of Solar Energy Convertors: NSF/RANN/SE/GI—36731X/PR/74/1, B. O. Seraphin, Optical Sciences Center, U. Arizona, Tucson, Arizona.
  3. B. O. Seraphin, U. Arizona; private communication.
  4. R. W. Griffith, in Sharing the Sun: Solar Technology in the Seventies, K. W. Boer, Ed. (Pergamon, New York, 1976), Vol. 6, p. 205.
  5. A. P. DeFonzo, Rev. Sci. Instrum. 46, 1329 (1975).
    [CrossRef]
  6. G. G. Macfarlane, T. P. Mclean, J. E. Quarrington, V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).
    [CrossRef]
  7. D. E. Ackley, A. P. DeFonzo, J. Tauc, Proceedings of the 13th International Conference on Physics of Semiconductors, Rome1976, p. 993.
  8. G. A. N. Connell, A. Lewis, Phys. Status Solidi B 60, 291 (1973).
    [CrossRef]
  9. S. H. Wemple, M. DiDomenico, Phys. Rev. Lett. 23, 20 (1969).
    [CrossRef]
  10. C. F. Drummeter, G. Hass, in Physics of Thin Films, G. Hass, R. E. Thun, Eds. (Academic, New York, 1964), Vol. 2, p. 305.
  11. J. Tauc, in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 245.
    [CrossRef]
  12. M. H. Brodsky, P. J. Stiles, Phys. Rev. Lett. 25, 798 (1970).
    [CrossRef]

1975 (2)

J. Jurisson, R. E. Peterson, H. Y. B. Mar, J. Vac. Sci. Technol. 12, 1010 (1975).
[CrossRef]

A. P. DeFonzo, Rev. Sci. Instrum. 46, 1329 (1975).
[CrossRef]

1973 (1)

G. A. N. Connell, A. Lewis, Phys. Status Solidi B 60, 291 (1973).
[CrossRef]

1970 (1)

M. H. Brodsky, P. J. Stiles, Phys. Rev. Lett. 25, 798 (1970).
[CrossRef]

1969 (1)

S. H. Wemple, M. DiDomenico, Phys. Rev. Lett. 23, 20 (1969).
[CrossRef]

1959 (1)

G. G. Macfarlane, T. P. Mclean, J. E. Quarrington, V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).
[CrossRef]

Ackley, D. E.

D. E. Ackley, A. P. DeFonzo, J. Tauc, Proceedings of the 13th International Conference on Physics of Semiconductors, Rome1976, p. 993.

Brodsky, M. H.

M. H. Brodsky, P. J. Stiles, Phys. Rev. Lett. 25, 798 (1970).
[CrossRef]

Connell, G. A. N.

G. A. N. Connell, A. Lewis, Phys. Status Solidi B 60, 291 (1973).
[CrossRef]

DeFonzo, A. P.

A. P. DeFonzo, Rev. Sci. Instrum. 46, 1329 (1975).
[CrossRef]

D. E. Ackley, A. P. DeFonzo, J. Tauc, Proceedings of the 13th International Conference on Physics of Semiconductors, Rome1976, p. 993.

DiDomenico, M.

S. H. Wemple, M. DiDomenico, Phys. Rev. Lett. 23, 20 (1969).
[CrossRef]

Drummeter, C. F.

C. F. Drummeter, G. Hass, in Physics of Thin Films, G. Hass, R. E. Thun, Eds. (Academic, New York, 1964), Vol. 2, p. 305.

Griffith, R. W.

R. W. Griffith, in Sharing the Sun: Solar Technology in the Seventies, K. W. Boer, Ed. (Pergamon, New York, 1976), Vol. 6, p. 205.

Hass, G.

C. F. Drummeter, G. Hass, in Physics of Thin Films, G. Hass, R. E. Thun, Eds. (Academic, New York, 1964), Vol. 2, p. 305.

Jurisson, J.

J. Jurisson, R. E. Peterson, H. Y. B. Mar, J. Vac. Sci. Technol. 12, 1010 (1975).
[CrossRef]

Lewis, A.

G. A. N. Connell, A. Lewis, Phys. Status Solidi B 60, 291 (1973).
[CrossRef]

Macfarlane, G. G.

G. G. Macfarlane, T. P. Mclean, J. E. Quarrington, V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).
[CrossRef]

Mar, H. Y. B.

J. Jurisson, R. E. Peterson, H. Y. B. Mar, J. Vac. Sci. Technol. 12, 1010 (1975).
[CrossRef]

Mclean, T. P.

G. G. Macfarlane, T. P. Mclean, J. E. Quarrington, V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).
[CrossRef]

Peterson, R. E.

J. Jurisson, R. E. Peterson, H. Y. B. Mar, J. Vac. Sci. Technol. 12, 1010 (1975).
[CrossRef]

Quarrington, J. E.

G. G. Macfarlane, T. P. Mclean, J. E. Quarrington, V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).
[CrossRef]

Roberts, V.

G. G. Macfarlane, T. P. Mclean, J. E. Quarrington, V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).
[CrossRef]

Seraphin, B. O.

Chemical Vapor Deposition Research for Fabrication of Solar Energy Convertors: NSF/RANN/SE/GI—36731X/PR/74/1, B. O. Seraphin, Optical Sciences Center, U. Arizona, Tucson, Arizona.

B. O. Seraphin, U. Arizona; private communication.

Stiles, P. J.

M. H. Brodsky, P. J. Stiles, Phys. Rev. Lett. 25, 798 (1970).
[CrossRef]

Tauc, J.

D. E. Ackley, A. P. DeFonzo, J. Tauc, Proceedings of the 13th International Conference on Physics of Semiconductors, Rome1976, p. 993.

J. Tauc, in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 245.
[CrossRef]

Wemple, S. H.

S. H. Wemple, M. DiDomenico, Phys. Rev. Lett. 23, 20 (1969).
[CrossRef]

J. Phys. Chem. Solids (1)

G. G. Macfarlane, T. P. Mclean, J. E. Quarrington, V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).
[CrossRef]

J. Vac. Sci. Technol. (1)

J. Jurisson, R. E. Peterson, H. Y. B. Mar, J. Vac. Sci. Technol. 12, 1010 (1975).
[CrossRef]

Phys. Rev. Lett. (2)

S. H. Wemple, M. DiDomenico, Phys. Rev. Lett. 23, 20 (1969).
[CrossRef]

M. H. Brodsky, P. J. Stiles, Phys. Rev. Lett. 25, 798 (1970).
[CrossRef]

Phys. Status Solidi B (1)

G. A. N. Connell, A. Lewis, Phys. Status Solidi B 60, 291 (1973).
[CrossRef]

Rev. Sci. Instrum. (1)

A. P. DeFonzo, Rev. Sci. Instrum. 46, 1329 (1975).
[CrossRef]

Other (6)

D. E. Ackley, A. P. DeFonzo, J. Tauc, Proceedings of the 13th International Conference on Physics of Semiconductors, Rome1976, p. 993.

Chemical Vapor Deposition Research for Fabrication of Solar Energy Convertors: NSF/RANN/SE/GI—36731X/PR/74/1, B. O. Seraphin, Optical Sciences Center, U. Arizona, Tucson, Arizona.

B. O. Seraphin, U. Arizona; private communication.

R. W. Griffith, in Sharing the Sun: Solar Technology in the Seventies, K. W. Boer, Ed. (Pergamon, New York, 1976), Vol. 6, p. 205.

C. F. Drummeter, G. Hass, in Physics of Thin Films, G. Hass, R. E. Thun, Eds. (Academic, New York, 1964), Vol. 2, p. 305.

J. Tauc, in Optical Properties of Highly Transparent Solids, S. S. Mitra, B. Bendow, Eds. (Plenum, New York, 1975), p. 245.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Absorption in crystalline and amorphous silicon: a-Si, αtail—, αres-·- ·- -; c-Si, α - - - -, αedge…..

Fig. 2
Fig. 2

Model of the electronic density of states distribution in a-Si consistent with Eq. (5).

Fig. 3
Fig. 3

Residual absorption in a-Si films.

Fig. 4
Fig. 4

Absorptance of Si films on perfectly reflecting metallic substrates: (a) c-Si; (b) a-Si.

Tables (1)

Tables Icon

Table I Calculated Conversion Efficiencies for Selective Absorbers with c-Si and a-Si Films

Equations (12)

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α = α edge + α car ,
α edge = 4 × 10 3 [ ω - E g ( T ) ] 2 / ω ( cm - 1 ) ,
α car = 5 × 10 - 17 ( T / 873 ) ( 0.37 / ω ) 1.5 n i ( T ) ( cm - 1 ) ,
α ω ~ D v ( ω - E ) D t ( E ) [ f ( ω - E ) - f ( E ) ] d E ,
α ω = A ( t ) exp ( ω / E t ) { exp [ - ( ω - E F ) / k T ] + 1 } - 1 ,
α = α tail + α res ,
n 2 = 1 + F [ E 0 2 - ( ω ) 2 ] .
η = E abs - E emit E inc
A ( λ , T ) = ( 1 - R ) [ 1 - exp ( - 2 α d ) ] 1 - R exp ( - 2 α d ) .
E inc = g σ T s 4 ,
g = 1.4 × 10 - 5 , σ = 5.68 × 10 - 12 W cm - 2 deg - 4 , E abs = g W ( λ , T s ) A ( λ , T ) d λ ,
E emit = W ( λ , T ) A ( λ , T ) d λ ,

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