  In this paper we present a calculation of the expected flux of the
mono-energetic 14.4 keV solar axions emitted by the M1 type nuclear transition
of $^{57}$Fe in the Sun. These axions can be detected, e.g., by inverse
coherent Bragg-Primakoff conversion in single-crystal TeO$_2$ bolometers. The
ingredients of this calculation are i) the axion nucleon coupling, estimated in
several popular axion models and ii)the nuclear spin matrix elements involving
realistic shell model calculations with both proton and neutron excitations.
For the benefit of the experiments we have also calculated the branching ratio
involving axion and photon emission
