Introductory and background material presented in this thesis were written jointly by Khrista M. Garrison, Laura M. Bradbury, and Gary H. Girty. Estimates and discussions of ß and power for Si, Ti, Fe, Mn, Ca, Mg, K, Na, P, Ni, Cr, V, Ba, Zr, Ga, Zn, Th, and Nb are included in the thesis by Garrison. Estimates and discussions of ß and power for Y, Hf, Ta, U, Pb, Rb, Cs, Sr, La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm. Yb, and Lu can be found in the thesis by Bradbury. All ß and power were made utilizing the SOLO Power Analysis software package produced by BMDP Statistical Software. Inc.. The accuracy of the used in SOLO Power Analysis was verified by checking its output against values calculating utilizing the numerical integration routines in Mathematica. The general algorithm that was used to estimate ß and power is discussed in the section entitled Procedures for Estimating ß And Power. Appendix I is a listing of all chemical data used in the calculations of ß and power. Appendix II provides a brief description of analytical procedures and precessions of chemical analyses used during this study.