Cyclotron Resonance and the Fermi Surface of Antimony

A new series of cyclotron resonance experiments has been made on antimony which gave extended information on electron and hole cyclotron masses. Experiments were carried out with the magnetic field in the principal crystal planes of antimony at 1.5°K and with 35 Gc/sec microwave radiation. The magnetic field of cyclotron resonance in certain regions was dependent upon the angle of tip of the magnetic field with respect to the metal surface. These effects were minimized by accurate alignment of the magnetic field along the sample surface. The carriers of two bands were observed. The cyclotron mass of one band, assumed to be the conduction band, was consistent with a tilted-ellipsoidal model for the energy surfaces. The cyclotron mass along the 1′ principal electron ellipsoid axis was measured from data in the binary-trigonal plane to be 0.215 m
0
. The conduction band ellipsoids were found to have a tilt angle of 36° and mass tensor components: m
11
=0.068 m
0
, m
22
=0.63 m
0
, m
33
=0.34 m
0
, |m
23
|=0.41 m
0
. The data indicated three sets of warped ellipsoids for the valence band. The warped ellipsoids were found to have a tilt angle of 4° and mass tensor components: m
11
=0.093 m
0
, m
22
=1.14 m
0
, m
33
=0.093 m
0
, and |m
23
|=0.082 m
0
. The cyclotron masses of holes and the measurement of cyclotron resonance at limiting points of the Fermi surface indicated that the hole surfaces probably are deformed from an ellipsoid.