The goal of this study is to assess complications in atmospheric stabl
e boundary layers which are not included in numerical models of the st
ably stratified boundary layer and to provide a formulation of surface
fluxes for use in numerical models. Based on an extensive interpretiv
e literature survey and new eddy correlation data for the stable bound
ary layer, this study defines two prototype stable boundary layers: th
e weakly stable case and the very stable case. The weakly stable bound
ary layer is amenable to existing models. The very stable boundary lay
er eludes modeling attempts due to breakdown of existing formulations
of turbulence and due to features found in the atmosphere which are no
t normally included in models. The latter includes clear-air radiative
cooling, low-level jets, surface heterogeneity, gravity waves, meande
ring motions, and other mesoscale motions which propagate from outside
the local domain. While these mechanisms are not essential to underst
anding idealized or laboratory versions of the stable boundary layer,
they complicate comparisons of numerical models and theories with actu
al atmospheric boundary layers. Statistics which describe various feat
ures of the stable boundary layer are offered for future comparison wi
th modeling results.