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A Study of Electron Effects in Solid Solution Alloys of Titanium


Denney, Joseph Myers (1955) A Study of Electron Effects in Solid Solution Alloys of Titanium. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MJ3D-CA66.


Anomalous behavior of the lattice parameters of solid solution alloys of aluminum and gallium in titanium were observed at approximately 3 atomic percent solute. Alloys of silver in titanium did not exhibit similar anomalies. Anomalies also were observed in the resistivity and in the coefficient of magneto-resistance for solutes of Al and Ga. No significant evidence of anomalous behavior of the Hall coefficient or the magnetic susceptibility with solute concentration was found. The effect of solute valency in producing the observed anomalous changes in physical properties is interpreted; using the Bloch-Brillouin approximation, as evidence of interaction between the Fermi surface and the Brillouin Zones. The effects produced by monovalent Ag and trivalent Al and Ga solutes indicate that titanium has an alloying valency between 1 and 3 in these alloys. The Brillouin Zone interpretation indicates that the alloying valency of titanium is about 1.5 electrons per atom. The absence of an effect of solute addition on the susceptibility, the susceptibility-temperature data of Squire and Kaufmann, and the magnitude of the susceptibility indicate that titanium is anti-ferromagnetic. The suggested antiferromagnetism is in agreement with the interpretation of the effects of solute additions on the other observed physical properties. It is, therefore, concluded that titanium has approximately 2 electrons per atom in antiferromagnetic coupling between neighboring atoms, and about 2 electrons per atom in the conduction band. Neutron diffraction experiments to verify the suggested existence of a simple hexagonal antiferromagnetic superlattice in titanium are urged.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Engineering Science and Physics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Engineering
Minor Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Duwez, Pol E.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1955
Record Number:CaltechETD:etd-12032003-092120
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4729
Deposited By: Imported from ETD-db
Deposited On:04 Dec 2003
Last Modified:28 Jun 2023 21:07

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