The hcp lattice distortion parameter δ, the deviation of the ratio ca from the ideal hcp value 83, is calculated for solid He under pressure, taking into account two- and three-body interatomic forces. The resulting lattice distortion parameter is small and negative, i.e., the lattice is slightly flattened compared with the ideal hcp lattice. It increases monotonically in absolute value with pressure and reaches 103 for a molar volume of 2.5cm3mol. Such small distortions are most likely beyond the capabilities of x-ray or neutron experiments but can be detected by optical methods based on measurements of the birefringence. The data on δ can be used as a probe of the many-body forces.

1.
A. I.
Kitaigorodsky
,
Molecular Crystals
,
Academic Press
,
New York
(
1973
).
2.
J.
van Kranendonk
,
Solid Hydrogen
,
Plenum Press
,
New York
(
1983
).
3.
Yu. A.
Freiman
,
S. M.
Tretyak
,
A.
Jeżowski
, and
R. J.
Hemley
,
J. Low Temp. Phys.
126
,
703
(
2002
);
Yu. A.
Freiman
,
S. M.
Tretyak
,
A.
Jeżowski
, and
R. J.
Hemley
,
J. Low Temp. Phys.
122
,
537
(
2001
).
4.
J. E.
Vos
,
R. V.
Kingma
,
F. J.
van der Gaag
, and
B. S.
Blaisse
,
Phys. Lett.
A
24
,
738
(
1967
).
5.
D. G.
Henshaw
,
Phys. Rev.
109
,
328
(
1958
).
6.
7.
R. L.
Mills
and
A. F.
Schuch
,
Proceedings of the VIII International Conference on Low Temperature Physics
,
London
(
1962
), p.
423
.
8.
A. F.
Schuch
and
R. L.
Mills
,
Sixth International Congress of the International Union of Crystallography
,
Rome
(
1963
), p.
A
21
.
9.
H. K.
Mao
,
R. J.
Hemley
,
Y.
Wu
,
A. P.
Jephcoat
,
L. W.
Finger
,
C. S.
Zha
, and
W. A.
Basset
,
Phys. Rev. Lett.
60
,
2649
(
1988
).
10.
P.
Louybeyre
,
R.
LeToullec
,
J. P.
Pinceaux
,
H. K.
Mao
,
J.
Hu
, and
R. J.
Hemley
,
Phys. Rev. Lett.
71
,
2272
(
1993
).
11.
C. S.
Zha
,
H. K.
Mao
, and
R. J.
Hemley
,
Phys. Rev. B
70
,
174107
(
2004
).
12.
H.
Katsuki
,
M.
Fushitani
, and
T.
Momose
,
Fiz. Nizk. Temp.
29
,
832
(
2003
)
H.
Katsuki
,
M.
Fushitani
, and
T.
Momose
,[
Low Temp. Phys.
29
,
1093
(
2003
)].
13.
P.
Louybeyre
,
R.
LeToullec
,
D.
Hausermann
,
M.
Hanfland
,
R. J.
Hemley
,
H. K.
Mao
, and
L. W.
Finger
,
Nature (London)
383
,
702
(
1996
).
14.
H.
Kawamura
,
Y.
Akahama
,
S.
Umemoto
,
K.
Takemura
,
Y.
Ohishi
, and
O.
Shimomura
,
J. Phys.: Condens. Matter
14
,
10407
(
2002
).
15.
R. A.
Aziz
,
V. P. S.
Nain
,
J. S.
Carley
,
W. L.
Taylor
, and
G. T.
McConville
,
J. Chem. Phys.
70
,
4330
(
1979
).
16.
17.
M. I.
Klein
and
J. A.
Venables
,
Rare Gas Solids
,
Academic
,
London
(
1976
).
18.
J. W.
Stewart
,
Phys. Rev.
129
,
1950
(
1963
).
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