for values of the optical rotation less than 0.1 radian we arrive at the equality Rv ß"• ß(, + " ß<-! + 1)°^'Equation 29 has two measured quantities, Rn and R»+d but also two unknowns Rv°a nd Rrt+i>0. For convenience we may now restrict the optical rotations to that range where the fí°'s are linear functions of the angular rotation. The error involved here may be estimated from the equations given by Carroll, Tillem, and Freeman (1). For cases where this restriction cannot be met, higher order terms other than the first may be used for the following equations: ß °= 2 tan . [ 7? ] and ß + )0 = 2 tan 9. [o¡o(>? + 1)] Combining Equation 29with the above equations for and ß(,+ 1)°o ne obtains