Probing Nucleon Spin Structure with Deep Inelastic Scattering: Neutron g$_2$ and d$_2$

The experiment E12-06-121 at Jefferson Lab aims to do a precision measurement of the neutron spin structure function g$_2$ using the deep inelastic scattering of electrons over the kinematic range 0.20 $<$ x$_{Bj} <$ 0.95 and 2.5 $<$ Q$^{2} <$ 6.0 (GeV/c)$^2$. The large kinematic coverage will allow for the precision determination of d$_2$, the third moment of the linear combination of the spin structure functions g$_1$ and g$_2$. As one of the cleanest higher twist observables, g$_2$ contains information on quark-gluon correlations and d$_2$ is connected to the ``color polarizability" of the nucleon. The experiment will be performed in Hall C using a longitudinally polarized about 11 GeV electron beam and polarized helium-3 target. The combination of Super High Momentum Spectrometer (SHMS) and High Momentum Spectrometer (HMS) will allow us to run the experiment for four truly constant Q$^2$ values over a wide range of x$_{Bj}$ for the first time. Physics will be explored to test several existing theoretical predictions including Lattice QCD. An overview (the present status) of the experiment will be presented.