Abstract
The aim of this review is to discuss the information which can be derived from a study of the lattice spacings in alloys. Such information is restricted in two ways: by experimental difficulties involved in various measuring and computing techniques which may limit accuracy, and by the fact that lattice spacings do not define the actual positions or the actual sizes of the atoms in an alloy.
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References
1.
Bradley
A. J.
Thewlis
J.
, Proc. Roy. Soc . , 1926 , [A] , 112 , 678 .
2.
Goldschmidt
H. J.
, J. Iron Steel Inst . , 1948 , 160 , 345 .
3.
Kiessling
R.
, Met. Rev. , 1957 , 2 , 77 .
4.
Pauling
L.
, “Theory of Alloy Phases,” p. 220 . 1956 :
Cleveland
O.
(American Society for Metals ).
5.
Flinn
P. A.
Averbach
B. L.
Cohen
M.
, Acta Met ., 1953 , 1 , 664 .
6.
Averbach
B. L.
Flinn
P. A.
Cohen
M.
,
ibid
. , 1954 , 2 , 92 .
7.
Averbach
B. L.
, “Theory of Alloy Phases,” p. 301 . 1956 :
Cleveland
O.
(American Society for Metals ).
8.
Warren
B. G.
Averbach
B. L.
, “Modern Research Techniques in Physical Metallurgy,” p. 95 . 1953 :
Cleveland
O.
(American Society for Metals ).
9.
Laves
F.
, “Theory of Alloy Phases,” p. 124 . 1956 :
Cleveland
O.
(American Society for Metals ).
10.
Schubert
K.
, Z. Naturforsch. , 1956 , [A] , 11 , 920 ;
Z. Metallkunde , 1955, 46, 43 .
11.
Schubert
K.
Kiefer
B.
Wilkens
M.
Haufier
R.
, Z. Metallkunde , 1955 , 46 , 692 .
12.
Greenfield
P.
Beck
P. A.
, Trans. Amer. Inst. Min. Met. Eng ., 1956 , 206 , 265 .
13.
Jones
H.
,
Proc. Roy. Soc
., 1934 , [A] , 147 , 396 .
14.
Owen
E. A.
Pickup
L.
, ibid ., 1933 , [A] , 140 , 179 .
15.
Bradley
A. J.
Taylor
A.
, ibid ., 1937 , [A] , 159 , 56 .
16.
Raynor
G. V.
, ibid ., 1942 , [A] , 180 , 107 .
17.
Raynor
G. V.
, ibid ., 1940 , [A] , 174 , 457 .
18.
Hume-Rothery
W.
Raynor
G. V.
, ibid ., 1940 , [A] , 177 , 27 .
19.
Vegard
L.
, Z. Krist ., 1928 , 67 , 239 .
20.
Hume-Rothery
W.
Reynolds
P. W.
Raynor
G. V.
, J. Inst. Metals , 1940 , 68 , 191 .
21.
Axon
H. J.
Hume-Rothery
W.
, Proc. Roy. Soc ., 1948 , [A] , 193 , 1 .
22.
Raynor
Cl. V.
, Trans. Faraday Soc ., 1949 , 45 , 698 .
23.
Massalski
T. B.
Raynor
Cl. V.
, J. Inst. Metals , 1953 -54, 82 , 539 .
24.
Raynor
Cl. V.
Massalski
T. B.
, ibid ., 1955 -56, 84 , 66 .
25.
Hume-Rothery
W.
Lewin
Cl. F.
Reynolds
P. W.
, Proc. Roy. Soc. , 1936 , [A] , 157 , 167 .
26.
Owen
E. A.
Roberts
E. W.
, Phil. Meg. , 1939 , [vii] , 27 , 294 .
27.
Owen
E. A.
, J. Inst. Metals , 1947 , 73 , 471 .
28.
Stirling
P. H.
Raynor
Cl. V.
, ibid ., 1955 -56, 84 , 57 .
29.
Argent
B. B.
Wakeman
D. W.
, ibid ., 1956 -57, 85 , 413 .
30.
Massalski
T. B.
, unpublished work .
31.
Hill
R. B.
Axon
H. J.
, J. Inst. Metals , 1956 -57, 85 , 102 .
32.
Betterton
J. O.
Hume-Rothery
W.
ibid ., 1951 -52, 80 , 459 .
33.
Hume-Rothery
W.
Betterton
J. O.
Reynolds
J.
, ibid ., p. 609 .
34.
Ellwood
E. C.
, Nature , 1948 , 163 , 772 ;
J. Inst. Metals , 1951-52, 80, 217 .
35.
Raynor
Cl. V.
Massalski
T. B.
, Acta Met ., 1955 , 3 , 480 .
36.
Massalski
T. B.
, “Theory of Alloy Phases,” p. 63 . 1958 :
Cleveland
O.
(American Society for Metals ).
37.
Massalski
T. B.
, Acta Met. , 1957 , 5 , 541 .
38.
Wilson
A. H.
, “The Theory of Metals,” 2nd edn. 1953 : Cambridge (University Press ).
39.
Goodenough
J. B.
, Phys. Rev. , 1953 , [ii] , 89 , 282 .
40.
Schubert
K.
, Z. Metallkunde , 1952 , 43 , 1 .
41.
Barrett
C. S.
, Acta Met. , 1956 , 4 , 528 .
42.
McClure
J. W.
, Phys. Rev. , 1955 , [ii] , 98 , 449 .
43.
Nabarro
F. R. N.
Varley
J. H. O.
, Proc. Camb. Phil. Soc ., 1952 , 48 , 316 .
44.
Nabarro
F. R. N.
, Phil. Mag. , 1957 , [viii] , 2 , 716 .
45.
Raynor
G. V.
, “Progress in Metal Physics,” edited by
Chalmers
B.
, Vol. I , p. 1 . 1949 : London (Butterworths Scientific Publications ).
46.
Raynor
G. V.
, “Theory of Alloy Phases,” p. 321 . 1956 :
Cleveland
O.
(American Society for Metals ).
47.
Mott
N. F.
“Progress in Metal Physics,” edited by
Chalmers
B.
, Vol. III , p. 76 . 1952 : London (Pergamon Press ).
48.
Friedel
J.
, Advances in Physics , 1954 , 3 , 446 .
49.
Mott
N. F.
, “Yearbook of the Physical Society 1957,” p. 1 . 1957 : London (Physical Society ).
50.
Pippard
A. B.
,
Phil. Trans. Roy. Soc
., 1957 , [A] , 250 , 325 .
51.
Busk
R. S.
, Trans. Amer. Inst. Min. Met. Eng ., 1950 , 188 , 1460 .
52.
Jones
II.
, Phil. May. , 1950 , [vii] , 41 , 663 .
53.
Trlifaj
M.
, Czechoslovak J. Physics , 1952 , 1 , 110 .
54.
Salkovitz
E. I.
Schindler
A. I.
Kammer
E. W.
, Phys. Rev. , 1957 , [ii] , 105 , 887 .
55.
Salkovitz
E. I.
Schindler
A. I.
Kammer
E. W.
, ibid. , 1957 , [ii] , 107 , 1549 .
56.
von Batchelder
F. W.
Raeuchle
R. F.
, ibid. , 1957 , [ii] , 105 , 59 .
57.
Hume-Rothery
W.
Raynor
G. V.
, Proc. Roy. Soc ., 1940 , [A] , 174 , 471 .
58.
Hauser
F. E.
Landon
P. R.
Dorn
J. E.
, Trans. Amer. Soc. Metals , 1957 , 50 , Preprint No. 5 .
59.
Hellawell
A.
Hume-Rothery
W.
, Phil. Mag. , 1954 , [vii] , 45 , 797 .
60.
Seeger
A.
, ibid. , 1955 , [vii] , 46 , 1194 .
61.
Matyáš
Z.
, ibid. , 1948 , [vii] , 39 , 413 .
62.
Heine
V.
, Proc. Roy. Soc. , 1957 , [A] , 240 , 340 , 354, 361 .
63.
Leigh
R. S.
, Phil. Mag. , 1951 , [vii] , 42 , 139 .
64.
Lee
J. A.
Raynor
G. V.
, Proc. Phys. Soc. , 1954 , [B] , 67 , 737 .
65.
Hill
R. B.
Axon
H. J.
, Research , 1955 , 8 , S 2 .
66.
Ellwood
E. C.
, J. Inst. Metals , 1951 -52, 80 , 605 .
67.
Poole
D. M.
Axon
H. J.
, ibid ., p. 599 .
68.
Hill
R. B.
Axon
H. J.
, ibid ., 1954 -55, 83 , 354 .
69.
Tyzack
C.
Raynor
G. V.
, Trans. Faraday Soc ., 1954 , 50 , 675 .
70.
Graham
J.
Raynor
G. V.
, Phil. Mag. , 1957 , [viii] , 2 , 1354 .
71.
Moore
A.
Graham
J.
Williamson
G. K.
Raynor
G. V.
, Acta Met. , 1955 , 3 , 579 .
72.
Raynor
G. V.
Graham
J.
, Trans. Faraday Soc ., 1958 , 54 , 161 .
73.
Raynor
G. V.
, ibid ., 1948 , 44 , 15 .
74.
Guttman
L.
, Trans. Amer. Inst. Min. Met. Eng ., 1950 , 188 , 1472 .
75.
Tyzack
C.
Raynor
G. V.
, Acta Cryst. , 1954 , 7 , 505 .
76.
Pauling
L.
Pauling
P.
, ibid ., 1956 , 9 , 127 .
77.
Raynor
G. V.
Lee
J. A.
, Acta Met. , 1954 , 2 , 616 .
78.
Sutton
A. L.
Hume-Rothery
W.
, Phil. Mag. , 1955 , [vii] , 46 , 1295 .
79.
Pearson
W. B.
Thompson
L. T.
, Canad. J. Physics , 1957 , 35 , 349 .
80.
Pearson
W. B.
, ibid ., p. 358 .
81.
Hume-Rothery
W.
, Phil. Mag. , 1936 , [vii] , 22 , 1013 .
82.
Coles
B. R.
, J. Inst. Metals , 1955 -56, 84 , 346 .
83.
Esser
H.
Eilender
W.
Bungardt
K.
, Arch. Eisenhüttenwesen , 1938 , 12 , 157 .
84.
Basinski
Z. S.
Hume-Rothery
W.
Sutton
A. L.
, Proc. Roy. Soc ., 1955 , [A] , 229 , 459 .
85.
Hume-Rothery
W.
Irving
H. M.
Williams
R. J. P.
, ibid. , 1951 , [A] , 208 , 431 .
86.
Moore
A.
Raynor
G. V.
, Acta Met. , 1957 , 5 , 601 .
87.
Betteridge
W. J.
, J. Inst. Metals , 1949 , 75 , 559 .
88.
Dienes
G. J.
, Acta Met. , 1958 , 6 , 278 .
89.
Feder
R.
Nowick
A. S.
Rosenblatt
D. B.
, private communication (to be published in J. Appl. Physics ).
90.
Dorn
J. E.
Pietrokowsky
P.
Tietz
T. E.
, Trans . Amer. Inst. Min. Met. Eng ., 1950 , 188 , 933 .
91.
Underwood
E. E.
Marsh
L. L.
, ibid ., 1956 , 206 , 477 .
92.
French
R. S.
Hibbard
W. R.
, ibid ., 1950 , 188 , 53 .
93.
Allen
N. P.
Schofield
T. H.
Tate
A. E. L.
, Nature , 1951 , 168 , 378 .