Lewis bases can be ordered accoring to strength using the entalphy of reaction with different Lewis acids.
The strength depends of the choice of acid and the ranking of the bases can therefore change somewhat.
The two most popular scales are Gutmann's donor number (DN), which uses SbCl5 as the acid,
and the BF3-scale of Maria & Gal.
Because SbCl5 is fairly reactive some Donor Numbers have been determined by indirect methods.
There is a fairly strong correlation between the two scales (→ BF3-scale vs DN) as well as
between DN (→ SB vs DN) and the
BF3-scale (→ SB vs BF3) respectively,
and → Catalan's SB solvent polarity parameter.
See →
"The donor-acceptor approach to molecular interactions" by V. Gutmann (of mainly historical interest [1978])
and
→
"Lewis Basicity and Affinity Scales: Data and Measurement" by C. Laurence and J.-F. Gal
(for a recent [2009] and comprehensive overview of Lewis basicity).
Note that the DN scale, for historic reasons, is given in kcal/mol whereas the BF3-scale is in kJ/mol.