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For POTEntial=HIGH, a restraining function for stereospecifically
assignable proton pairs is employed (Habazettl et al., 1990).
This is useful for resolved but unassigned
peaks involving methylene protons.
The restraining function is given by
(20.17)
where is the energy constant specified
by the SCALe statement.
Supppose that one observes distance restraints involving
the two protons and of a particular unassigned pair; this means
that there are a total of ASSIgn statements specified for
this particular unassigned pair (NCOUnt has to match ).
The
function is then the product of two -dimensional functions, each
corresponding to one of the two possible stereospecific assignments:
(20.18)
(20.19)
where and are the distances from spin
to the unassigned spins and , respectively. When the
corresponding ASSIgn statements contain multiple atom selections,
averaged distances are computed; only center-averaging
is allowed in combination with the high dimensional potential. and
are lower bounds for the distances between spin and
spins and , respectively. and
are upper bounds for the distances between spin and
spins and , respectively. and
are the lower bounds and upper bounds for the distance
difference , respectively. These
upper and lower bounds are specified through a group of assignment
statements:
...
where the terms should be understood as atom selections.
are constants that
are determined internally, such that the barrier height between
the two minima of is given by BHIG.
The functional forms of and are
similar to the soft-square
function (Section 20.3.4) with a linear
asymptote, except that the
switching region is symmetrically arranged: