Generalized
Landau–de Gennes theory is proposed that comprehensively
explains currently available experimental data for the heliconical
twist–bend nematic (NTB) phase observed in liquid
crystalline systems of chemically achiral bent-core-like
molecules. A bifurcation analysis gives insight into possible structures
that the model can predict and guides in the numerical analysis of
relative stability of the isotropic (I), uniaxial nematic (NU), and twist–bend nematic phases. An estimate of constitutive
parameters of the model from temperature variation of the nematic
order parameter and the Frank elastic constants in the nematic phase
enables us to demonstrate quantitative agreement between the calculated
and experimentally determined temperature dependence of the pitch
and conical angle in NTB. Properties of order parameters
also explain a puzzling lack of a half-pitch band in resonant soft
X-ray scattering. Other key findings of the model are predictions
of I–NTB and NU–NTB tricritical points and insight into biaxiality of NTB.