Abstract

We report the results of structural and optical studies of semiconductor microparticle composites consisting of small CdSe crystallites embedded in a silicate glass matrix. Raman scattering and x-ray diffraction studies indicate that the microparticles in the present studies are pure CdSe crystallites with a diameter of 6 nm. We outline the analysis of room-temperature optical absorption and photoluminescence data to deduce the particle-size distribution when the band edge is controlled by quantum confinement.

© 1989 Optical Society of America

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  1. R. K. Jain, R. C. Lind, J. Opt. Soc. Am. 73, 647 (1983).
    [CrossRef]
  2. S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
    [CrossRef]
  3. P. Rousignol, D. Ricard, J. Lucasik, C. Flytzanis, J. Opt. Soc. Am. B 4, 5 (1987).
    [CrossRef]
  4. H. M. Gibbs, G. R. Olbright, N. Peyghambarian, Appl. Phys. Lett. 48, 1184 (1986).
    [CrossRef]
  5. N. F. Borrelli, D. W. Hall, H. J. Holland, D. W. Smith, J. Appl. Phys. 61, 5399 (1987).
    [CrossRef]
  6. B. G. Potter, J. H. Simmons, Phys. Rev. B 37, 10838 (1988).
    [CrossRef]
  7. V. G. Plotnichenko, Yu. A. Mityagin, L. K. Vodop’yanov, Sov. Phys. Solid State 19, 1584 (1978).
  8. M. V. Kurik, Phys. Status Solidi A 8, 9 (1971).
    [CrossRef]
  9. R. B. Stephens, Phys. Rev. B 29, 3283 (1984).
    [CrossRef]
  10. A. Rose, Concepts in Photoconductivity and Allied Problems (Krieger, Huntington, N.Y., 1978).
  11. L. E. Brus, J. Chem. Phys. 80, 4403 (1984).
    [CrossRef]
  12. C. G. Granqvist, R. A. Buhrman, J. Appl. Phys. 47, 2200 (1976).
    [CrossRef]
  13. I. M. Lifshitz, V. V. Slyozov, J. Phys. Chem. 19, 35 (1961).
  14. A. I. Ekimov, Al. L. Efros, A. A. Onushchenko, Solid State Commun. 56, 921 (1985).
    [CrossRef]

1988 (1)

B. G. Potter, J. H. Simmons, Phys. Rev. B 37, 10838 (1988).
[CrossRef]

1987 (2)

N. F. Borrelli, D. W. Hall, H. J. Holland, D. W. Smith, J. Appl. Phys. 61, 5399 (1987).
[CrossRef]

P. Rousignol, D. Ricard, J. Lucasik, C. Flytzanis, J. Opt. Soc. Am. B 4, 5 (1987).
[CrossRef]

1986 (1)

H. M. Gibbs, G. R. Olbright, N. Peyghambarian, Appl. Phys. Lett. 48, 1184 (1986).
[CrossRef]

1985 (2)

A. I. Ekimov, Al. L. Efros, A. A. Onushchenko, Solid State Commun. 56, 921 (1985).
[CrossRef]

S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
[CrossRef]

1984 (2)

R. B. Stephens, Phys. Rev. B 29, 3283 (1984).
[CrossRef]

L. E. Brus, J. Chem. Phys. 80, 4403 (1984).
[CrossRef]

1983 (1)

1978 (1)

V. G. Plotnichenko, Yu. A. Mityagin, L. K. Vodop’yanov, Sov. Phys. Solid State 19, 1584 (1978).

1976 (1)

C. G. Granqvist, R. A. Buhrman, J. Appl. Phys. 47, 2200 (1976).
[CrossRef]

1971 (1)

M. V. Kurik, Phys. Status Solidi A 8, 9 (1971).
[CrossRef]

1961 (1)

I. M. Lifshitz, V. V. Slyozov, J. Phys. Chem. 19, 35 (1961).

Borrelli, N. F.

N. F. Borrelli, D. W. Hall, H. J. Holland, D. W. Smith, J. Appl. Phys. 61, 5399 (1987).
[CrossRef]

Brus, L. E.

L. E. Brus, J. Chem. Phys. 80, 4403 (1984).
[CrossRef]

Buhrman, R. A.

C. G. Granqvist, R. A. Buhrman, J. Appl. Phys. 47, 2200 (1976).
[CrossRef]

Efros, Al. L.

A. I. Ekimov, Al. L. Efros, A. A. Onushchenko, Solid State Commun. 56, 921 (1985).
[CrossRef]

Ekimov, A. I.

A. I. Ekimov, Al. L. Efros, A. A. Onushchenko, Solid State Commun. 56, 921 (1985).
[CrossRef]

Flytzanis, C.

Fortenberry, R.

S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
[CrossRef]

Gabel, A.

S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
[CrossRef]

Gibbs, H. M.

H. M. Gibbs, G. R. Olbright, N. Peyghambarian, Appl. Phys. Lett. 48, 1184 (1986).
[CrossRef]

Granqvist, C. G.

C. G. Granqvist, R. A. Buhrman, J. Appl. Phys. 47, 2200 (1976).
[CrossRef]

Hall, D. W.

N. F. Borrelli, D. W. Hall, H. J. Holland, D. W. Smith, J. Appl. Phys. 61, 5399 (1987).
[CrossRef]

Holland, H. J.

N. F. Borrelli, D. W. Hall, H. J. Holland, D. W. Smith, J. Appl. Phys. 61, 5399 (1987).
[CrossRef]

Jain, R. K.

Karaguleff, C.

S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
[CrossRef]

Kurik, M. V.

M. V. Kurik, Phys. Status Solidi A 8, 9 (1971).
[CrossRef]

Lifshitz, I. M.

I. M. Lifshitz, V. V. Slyozov, J. Phys. Chem. 19, 35 (1961).

Lind, R. C.

Lucasik, J.

Mityagin, Yu. A.

V. G. Plotnichenko, Yu. A. Mityagin, L. K. Vodop’yanov, Sov. Phys. Solid State 19, 1584 (1978).

Olbright, G. R.

H. M. Gibbs, G. R. Olbright, N. Peyghambarian, Appl. Phys. Lett. 48, 1184 (1986).
[CrossRef]

Onushchenko, A. A.

A. I. Ekimov, Al. L. Efros, A. A. Onushchenko, Solid State Commun. 56, 921 (1985).
[CrossRef]

Peyghambarian, N.

H. M. Gibbs, G. R. Olbright, N. Peyghambarian, Appl. Phys. Lett. 48, 1184 (1986).
[CrossRef]

Plotnichenko, V. G.

V. G. Plotnichenko, Yu. A. Mityagin, L. K. Vodop’yanov, Sov. Phys. Solid State 19, 1584 (1978).

Potter, B. G.

B. G. Potter, J. H. Simmons, Phys. Rev. B 37, 10838 (1988).
[CrossRef]

Ricard, D.

Rose, A.

A. Rose, Concepts in Photoconductivity and Allied Problems (Krieger, Huntington, N.Y., 1978).

Rousignol, P.

Seaton, C. T.

S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
[CrossRef]

Simmons, J. H.

B. G. Potter, J. H. Simmons, Phys. Rev. B 37, 10838 (1988).
[CrossRef]

Slyozov, V. V.

I. M. Lifshitz, V. V. Slyozov, J. Phys. Chem. 19, 35 (1961).

Smith, D. W.

N. F. Borrelli, D. W. Hall, H. J. Holland, D. W. Smith, J. Appl. Phys. 61, 5399 (1987).
[CrossRef]

Stegemann, G. I.

S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
[CrossRef]

Stephens, R. B.

R. B. Stephens, Phys. Rev. B 29, 3283 (1984).
[CrossRef]

Vodop’yanov, L. K.

V. G. Plotnichenko, Yu. A. Mityagin, L. K. Vodop’yanov, Sov. Phys. Solid State 19, 1584 (1978).

Yao, S. S.

S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
[CrossRef]

Appl. Phys. Lett. (2)

H. M. Gibbs, G. R. Olbright, N. Peyghambarian, Appl. Phys. Lett. 48, 1184 (1986).
[CrossRef]

S. S. Yao, C. Karaguleff, A. Gabel, R. Fortenberry, C. T. Seaton, G. I. Stegemann, Appl. Phys. Lett. 46, 801 (1985).
[CrossRef]

J. Appl. Phys. (2)

C. G. Granqvist, R. A. Buhrman, J. Appl. Phys. 47, 2200 (1976).
[CrossRef]

N. F. Borrelli, D. W. Hall, H. J. Holland, D. W. Smith, J. Appl. Phys. 61, 5399 (1987).
[CrossRef]

J. Chem. Phys. (1)

L. E. Brus, J. Chem. Phys. 80, 4403 (1984).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

J. Phys. Chem. (1)

I. M. Lifshitz, V. V. Slyozov, J. Phys. Chem. 19, 35 (1961).

Phys. Rev. B (2)

R. B. Stephens, Phys. Rev. B 29, 3283 (1984).
[CrossRef]

B. G. Potter, J. H. Simmons, Phys. Rev. B 37, 10838 (1988).
[CrossRef]

Phys. Status Solidi A (1)

M. V. Kurik, Phys. Status Solidi A 8, 9 (1971).
[CrossRef]

Solid State Commun. (1)

A. I. Ekimov, Al. L. Efros, A. A. Onushchenko, Solid State Commun. 56, 921 (1985).
[CrossRef]

Sov. Phys. Solid State (1)

V. G. Plotnichenko, Yu. A. Mityagin, L. K. Vodop’yanov, Sov. Phys. Solid State 19, 1584 (1978).

Other (1)

A. Rose, Concepts in Photoconductivity and Allied Problems (Krieger, Huntington, N.Y., 1978).

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Figures (7)

Fig. 1
Fig. 1

X-ray diffraction data for Schott filter glass RG695. Counting time on each point was 300 sec.

Fig. 2
Fig. 2

Raman-scattered intensity plotted against Raman shift for Schott glass RG695.

Fig. 3
Fig. 3

(a) Optical absorption coefficient α plotted against photon energy for Schott glass RG695. Note the logarithmic scale. (b) Optical absorption coefficient for a 0.35-mm-thick piece of the same sample plotted over a wide energy range.

Fig. 4
Fig. 4

(a) Photoluminescence intensity plotted against photon energy for Schott glass RG695. Excitation was with the 488-nm line of the Ar laser. Note the logarithmic scale. (b) Photoluminescence intensity plotted against photon energy for Schott glass RG645. Excitation was with the 632.8-nm line of a He–Ne laser. Note the logarithmic scale.

Fig. 5
Fig. 5

Particle band-gap distribution f(E) deduced from optical absorption data and Eq. (4) plotted against particle band gap.

Fig. 6
Fig. 6

Particle band-gap distribution f(E) deduced from photoluminescence data and Eq. (7b) plotted against particle band gap.

Fig. 7
Fig. 7

Particle-size distribution N(a) deduced by using f(E) from Figs. 5 and 6 and Eq. (9).

Equations (12)

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σ C = 8 π 2 a 3 λ Im ( C - M C + M ) ,
α i obs = 4.5 M ( 1 + 2 M ) 2 + 2 2 f C n α ,
α obs = i = 1 N f i α i obs ,
α obs ( E ) = A ( E - E G ) 1 / 2 E G E f ( E ) d E ;
f ( E ) = d d E { α obs ( E ) [ A ( E - E G ) 1 / 2 ] - 1 } ,
R ( E ) d E = α ( E ) E 2 V ( e β E - 1 ) - 1 d E ,
R ( E , E ) d E = C F α exc α ( E , E ) V τ E 2 exp [ - β ( E - E ) ] d E ,
P L ( E ) d E = E G E f ( E ) R ( E , E ) / V d E d E ,
P L ( E ) d E = C F α exc α ( E ) E 2 e - β E d E E G E f ( E ) τ ( E ) e β E d E .
f ( E ) e β E = ( d / d E ) [ P L ( E ) / D ( E ) ] ,
E shift = E i - E G = ( h 2 8 π 2 μ a i 2 ) X 2 ,
N ( a ) d a = n ( a ) a - 3 d a = f [ a = ( h 2 X 2 8 π 2 μ ( E - E G ) ) 1 / 2 ] a - 6 d a .

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