Inconsistent Unit in Drude- Lorentz model

Hi,

I am facing inconsistent unit problem while applying Drude- Lorentz model equation for dielectric constant, E - (m^2/(w^2 + i * w * h)) - (f * g^2/((w^2-g^2)+i * k * w)) where E = 5.9673,

w=(2 * 3.1416 * c)/l,

l = 680[nm],

m = 0.022574495298995342[um],

h = 2.9970254723582923[um],

f = 1.09,

g = 0.07339741070532327[um],

k = 0.4550169353125095[um],

c = 3* 10^8 [m/s]

I have converted the unit eV to [um]. Can someone help me out please. Thank You