  A theoretical treatment of the static structure factor $S(k)$ of a Bose gas
is attempted. The low order expansion theory is implemented for the
construction of the two body density distribution, while various trial
functions for the radial distribution function $g(r)$ are used. $g(r)$
introduces the atomic correlations and describes the departure from the
noninteracting gas. The Bose gas is studied as inhomogeneous one, trapped in
harmonic oscillator well, as well as homogeneous. A suitable parametrization of
the various trial functions $g(r)$ exists which leads to satisfactory
reproduction of the experimental values of $S(k)$, both in inhomogeneous case
as well as in homogeneous one. The phonon range behavior of the calculated
$S(k)$ is also addressed and discussed both in finite and infinite Bose gas.
