May 28, 1956
"Not Sent"
To: Mr. Miller
From: Linus Pauling
Subject: The β indium-tin alloy
In the last Acta Crystallographica, page 364, there is discussion of β InSn. The authors say that their powder intensities do not agree with the structure that has been assigned the substance. I suggest that you prepare a single crystal, and check on the lattice and the intensities of reflection. I think that it is likely that the structure is correct, and that something is wrong with the powder intensities.
Also, perhaps you would be interested to study the compound FeZn12. This is the high-zinc end of the eta phase in the iron-zinc system. The eta phase is reported to have hexagonal closest packing as its structure. I remember, however, having seen a statement that a crystal with approximately FeZn12 has a very complicated structure. The melting point for this composition is about 800º C.
P. S.
The four phases in the system indium-tin would provide an opportunity for an interesting discussion of ligancy and bond distances. In the sequence from indium to tin, the four phases α, β, gamma, and delta have the following numbers of short bonds and long bonds, the long bond in each case being about half as strong as the short bond: 4,8; 8,4; 2,6; 4,2. Thus the ratio of the number of short bonds to long bonds alternates between values less than and greater than unity. 1/2; 2; 1/3; 2. The total ligancy decreases: 12; 12; 8; 6. I think that a study should be made of the Brillouin zones. The gamma phase is also in the mercury-tin system investigated by Professor Bergman. The interatomic distances for β phase are all right assuming the structure that is said to be incorrect.
cc: Dr. Bergman