M. Wronski, CONCEPT OF EFFECTIVE-MASS AND HIDDEN MASS FOR CALCULATION OF MOBILITYOF ORGANIC-ANIONS AND PEPTIDES, Journal of chromatography, 657(1), 1993, pp. 165-173
The concept presented for the calculation of electrophoretic mobility
is based on three assumptions: (1) the molecular mass M can be treated
as composed of effective mass E and hidden mass H, M = E + H; (2) the
mobility u is proportional to the charge Z and inversely proportional
to the effective mass to the power 2/3; and (3) both E and H are addi
tive functions of composition. Butyric acid was chosen as a standard f
ulfilling the condition M = E, H = 0, resulting in the equation u = 66
8ZE(-2/3) . 10(-5) cm(2) a V-1. The suggested approach involves the su
mmation of all special contributions to the hidden mass and calculatio
n of the mobility from the effective mass E = M - Sigma H. The total h
idden mass involves values dependent on hydrocarbon structure, H-alpha
, dependent on functional groups, H-beta, and contributions of certain
subunits such as amino acids in peptides, H-r. The H-alpha contributi
ons for aliphatic compounds can be expressed as a function of the meth
ylene (together with CH3 and CH but with the exception of CHOH chains)
group content in the molecule. H-alpha for aromatic compounds depends
on the nature of the aromatic ring. The special contributions were de
rived from the mobilities of about 200 compounds. Mobilities calculate
d by the suggested approach indicate an average relative error of +/-1
.5% for organic acids and +/-0.8% for peptides.