© Kwok-Wai Ng, 1998.
de Hass - van Alphen Effect. (a) Write down an expression
in relating the flux quanta 0 to fundamental physical
constants 
, e, and c. (b) Consider an
electron moving in close orbits in both k- and real space under
a constant external magnet field B. Show that 
,
where S and A are area enclosed by the orbits in k- and real
space respectively. (c) The following figure shows data for De
Haas-van Alphen oscillations in silver The magnetic field is
along a <111> direction. The vertical axis is magnetic
moment and the horizontal axis is 
. Estimate
the ratio of the areas of the two extremal orbits responsible
for the oscillations as shown in the lower figure.
