There are two modes of collective oscillations of spins in AFEP\´s: a gyrotropical (in relation to magnetic moment) mode with frequencies ω
1Kand an ungyrotropical one with ω
2K. Their strong nonlinear connection gives rise to some effects of technical interest both for cm and mm ranges of microwaves: mixing of oscillations, parallel pumping, biresonance frequency doubling, etc. The influence of magnetoelasic (m.e.) interaction on ω
1Kis amplified by exchange field H
E:

where, for hematite (α-Fe
2O
3), H
E= 9.2×10
6Oe and, from our measurements, H
mes(P)= (0.74 - 6.0p) Oe at T = 300 K,

, and

bar. Because of this, a performance of simple microwave power piezomodulator for mm range is possible even with a single crystal which is not of high quality (

Oe). The "shear" m.e. interaction leads to a strong dependence of the sound velocity in hematite on magnetic field:
![V_{s} = V_{scs} [1 - 2H_{E}H_{s}/(\\omega_{10}/\\gamma )^{2}]^{1/2}](/images/tex/7425.gif)
. The field variations of eigenfrequencies of hematite single crystal balls quasielastic oscillations, detected with the help of AFMR, give H
sup to 0.7 Oe.