Abstract

We summarize a large number of ultraprecise thermal expansion measurements made on seven different low expansivity materials. Expansion coefficients in the −150–300 °C temperature range are shown for Owens-Illinois Cer-Vit C-101, Corning ULE 7971 (titanium silicate) and fused silica 7940, Heraeus-Schott Zerodur low-expansion material and Homosil fused silica, Universal Cyclops Invar LR-35, and Simonds Saw and Steel Super Invar.

© 1976 Optical Society of America

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References

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  1. S. F. Jacobs, J. N. Bradford, J. W. Berthold, Appl. Opt. 9, 2477 (1970).
  2. T. W. Brock, Owens-Illinois, Inc., private communication.
  3. S. F. Jacobs, J. W. Berthold, J. Osmundsen, in Thermal Expansion—1971, AIP Conference Proceedings No. 3, M. G. Graham, H. E. Hagy, Eds. (American Institute of Physics, New York, 1972).

1970 (1)

Berthold, J. W.

S. F. Jacobs, J. N. Bradford, J. W. Berthold, Appl. Opt. 9, 2477 (1970).

S. F. Jacobs, J. W. Berthold, J. Osmundsen, in Thermal Expansion—1971, AIP Conference Proceedings No. 3, M. G. Graham, H. E. Hagy, Eds. (American Institute of Physics, New York, 1972).

Bradford, J. N.

Brock, T. W.

T. W. Brock, Owens-Illinois, Inc., private communication.

Jacobs, S. F.

S. F. Jacobs, J. N. Bradford, J. W. Berthold, Appl. Opt. 9, 2477 (1970).

S. F. Jacobs, J. W. Berthold, J. Osmundsen, in Thermal Expansion—1971, AIP Conference Proceedings No. 3, M. G. Graham, H. E. Hagy, Eds. (American Institute of Physics, New York, 1972).

Osmundsen, J.

S. F. Jacobs, J. W. Berthold, J. Osmundsen, in Thermal Expansion—1971, AIP Conference Proceedings No. 3, M. G. Graham, H. E. Hagy, Eds. (American Institute of Physics, New York, 1972).

Appl. Opt. (1)

Other (2)

T. W. Brock, Owens-Illinois, Inc., private communication.

S. F. Jacobs, J. W. Berthold, J. Osmundsen, in Thermal Expansion—1971, AIP Conference Proceedings No. 3, M. G. Graham, H. E. Hagy, Eds. (American Institute of Physics, New York, 1972).

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Figures (5)

Fig. 1
Fig. 1

Thermal expansion vs temperature: –Cer-Vit (forty-seven samples); --- ULE (ten samples); – – – Zerodur (four samples); –· 7940 (three samples); ⋯ Homosil (one sample); △△△ Invar LR-35 (two samples); ××× Super Invar (one sample).

Fig. 2
Fig. 2

Thermal expansion measurement system.

Fig. 3
Fig. 3

Thermal expansion vs temperature for Cer-Vit material. Curve 1 represents longer and/or higher temperature heat treatment than curve 2.

Fig. 4
Fig. 4

Enlargement around the zero-crossing of the thermal expansion vs temperature for sample 417-809B, Corning ULE 7971.

Fig. 5
Fig. 5

Thermal expansion vs temperature for Invar LR-35 and Super Invar.

Equations (4)

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α ( 1 / Δ T ) ( Δ L / L )
Δ ν / ν = - Δ L / L ,
σ ( α ) = { [ α ( Δ T ) σ ( Δ T ) ] 2 + [ α ( Δ ν ) σ ( Δ ν ) ] 2 + [ α ν σ ( ν ) ] 2 } 1 / 2 ,
σ ( α ) = ± α { [ σ ( Δ T ) Δ T ] 2 + [ σ ( Δ ν ) Δ ν ] 2 + [ σ ( ν ) ν ] 2 } 1 / 2 .

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