APPENDIX A
 HOLZ PATTERN CALCULATION

 Central to the calculations described in this

appendix is the assumption that the microscope

accelerating voltage can be arbitrarily defined. This

will in turn define a relative crystal standard for the

material that will be characterized. The standard

operating voltage of the microscope is defined to be

100.00 KeV, for which the wavelength will be .037

Angstroms. For B=<114> and 9,3,1 diffracting planes, the

resultant lattice parameter that exactly satisfies the

equation in Section 4.1.3, is 3.5712 Angstroms. For the

standard values just given, the four 9,3,1 HOLZ lines will

intersect at a point in the center of the transmitted

disc. The ratio of A to B (see Figure A) is referenced at

this point to the values of Al and Bl given in the

attached program listing. A larger or smaller lattice

parameter will cause this ratio to vary. The ratio is

listed as Rl in the table following the program.

 To account for noncubic effects, values of A3 and B3

are also calculated in the program. They are ratioed in

the program and appear in the Table as the ratio R2. The

values Tl, T2, etc. which appear in the program and in

Figure A are delta theta-Bragg values, where delta