Calculations are presented of the F-19 nuclear magnetic shielding cons
tant and anisotropy in CH3F as well as the first and second derivative
s of the shielding constant with respect to variations in C-F and C-H
bond lengths evaluated at equilibrium geometry. Calculations are repor
ted also of the temperature dependence of the F-19 shielding. The gaug
e origin independent CTOCD method and Geertsen's method as modified by
Smith, Amos and Handy were used and compared with results obtained us
ing the common origin, LORG/SOLO and CIAO methods. The calculations we
re carried out at the SCF level as well as at the correlated level wit
hin the SOPPA approximation, and a large enough basis set was used to
ensure that the same results were obtained in all these methods. It wa
s found that correlation is most important for the first derivative of
the fluorine shielding with respect to C-F bond length change. We als
o find that the anisotropy converges faster as a function of the basis
sets in the CTOCD method than in Geertsen's method. It is demonstrate
d that the apparent disagreement between computed and experimentally i
nferred first derivatives of shielding constants is a consequence of t
he assumption made when extracting this quantity from the temperature
dependence of the shielding.