We present experimental results for the lattice parameter and the thermal expansion of a silicon monocrystal at room temperature. In the precision determination of the Avogadro constant, an accurate knowledge of the value of the thermal expansion of silicon monocrystals is necessary so that their unit cell and molar volumes can both be referred to the same temperature. Recent advances in x-ray interferometry have made it possible to reduce the uncertainty of that value by one order of magnitude.

1.
G. Mana and G. Zosi, Nuovo Cimento 18, 1 (1995).
2.
G.
Basile
,
P.
Becker
,
A.
Bergamin
,
H.
Bettin
,
G.
Cavagnero
,
P.
De Bièvre
,
U.
Kütgens
,
G.
Mana
,
M.
Mosca
,
B.
Pajot
,
R.
Panciera
,
W.
Pasin
,
S.
Pettorruso
,
A.
Peuto
,
A.
Sacconi
,
J.
Stümpel
,
S.
Valkiers
,
E.
Vittone
, and
G.
Zosi
,
IEEE Trans Instrum. Meas.
44
,
538
(
1995
).
3.
C. A.
Swenson
,
J. Phys. Chem. Ref. Data
12
,
179
(
1983
).
4.
M. A.
Norton
,
J. W.
Berthold
III
,
S. F.
Jacobs
, and
W. A.
Plummer
,
J. Appl. Phys.
47
,
1683
(
1976
).
5.
H. Wagenbreth, PTB Bericht Nr. 3.32-13152/79 (Physikalisch-Technische Bundesanstalt, Braunschweig, 1979).
6.
Y.
Okada
and
Y.
Tokumaru
,
J. Appl. Phys.
56
,
314
(
1984
).
7.
M.
Okaji
,
Int. J. Thermophys.
9
,
1101
(
1988
).
8.
G. K.
White
,
Thermochim. Acta
218
,
83
(
1993
).
9.
F.
Liu
,
Powder Diffr.
9
,
260
(
1994
).
10.
E. Potulski, R. A. Nicolaus, H. Darnedde, and G. Bönsch, in 1996 Conference on Precision Electromagnetic Measurements Digest, edited by A. Braun (IEEE, New York, 1996), pp. 472–473.
11.
G.
Basile
,
A.
Bergamin
,
G.
Cavagnero
,
G.
Mana
, and
G.
Zosi
,
IEEE Trans Instrum. Meas.
38
,
210
(
1989
).
12.
G.
Basile
,
A.
Bergamin
,
G.
Cavagnero
,
G.
Mana
,
E.
Vittone
, and
G.
Zosi
,
Phys. Rev. Lett.
62
,
3133
(
1994
).
13.
G.
Basile
,
A.
Bergamin
,
G.
Cavagnero
,
G.
Mana
,
E.
Vittone
, and
G.
Zosi
,
IEEE Trans Instrum. Meas.
44
,
526
(
1995
).
14.
A.
Bergamin
,
G.
Cavagnero
,
L.
Cordiali
,
G.
Mana
, and
G.
Zosi
,
IEEE Trans. Instrum. Meas.
46
,
576
(
1997
).
15.
G.
Basile
,
A.
Bergamin
,
G.
Cavagnero
, and
G.
Mana
,
Metrologia
28
,
455
(
1991
).
16.
A.
Bergamin
,
W. S.
Ke
, and
G.
Zosi
,
J. Phys. E
16
,
96
(
1983
).
17.
The miniature platinum resistance thermometer was MINCO Model S1059-PA-5X6 and readings were performed by an HP digital multimeter Model 3458A. These identifications are given for complete information and are not a statement of unique suitability for the present application.
18.
B. Pajot (private communication).
19.
J. A. Rice, Mathematical Statistics and Data Analysis (Duxbury, Belmont, CA, 1995).
20.
J. V. Beck and K. J. Arnold, Parameter Estimation in Engineering and Science (Wiley, New York, 1977).
21.
F. James, MINUIT Reference Manual, CERN Program Library Long Writeup D506 (CERN, Geneva, 1992).
This content is only available via PDF.
You do not currently have access to this content.