Accession Number:

AD0006210

Title:

THE EFFECT OF THE SURFACE ON THE MAGNETIC PROPERTIES OF AN ELECTRON GAS

Descriptive Note:

Technical rept. no. 169

Corporate Author:

HARVARD UNIV CAMBRIDGE MA CRUFT LAB

Personal Author(s):

• Brooks, Harvey
• Ham, F. S.

Report Date:

1953-03-10

Pagination or Media Count:

57.0

Abstract:

A determination of the magnetic susceptibility of a system of electrons confined in a box is presented which considers the dependence of susceptibility on the form of the wall potential. An improved argument is given for a cylindrical box in which the balancing of diamagnetic and paramagnetic states is clarified, and which determines by means of the WKB approximation the nature of the boundary states. A more detailed derivation is given which establishes corrections to the terms in the susceptibility that dominate at high field strengths. The derivation is valid only if the radius of the confining box is considerably larger than the classical orbit radius of an electron moving in a plane perpendicular to a magnetic field with energy equal to the Fermi energy of the system. Darwins model is shown not to give the same results as the electron-in-a-box model when Fermi statistics are used.

Descriptors:

• *FERMI SURFACES
• *MAGNETIC MOMENTS
• *ELECTRON GAS
• FIELD INTENSITY
• MOLECULAR ORBITALS
• RADIUS(MEASURE)
• CORRECTIONS
• STATISTICS
• ENERGY
• MAGNETIC FIELDS

Subject Categories:

• Atomic and Molecular Physics and Spectroscopy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE