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annealed body-centered cubic material Bragg angle cent nickel cent reduction cent total reduction centimeters Cold-Rolled Iron-Nickel Alloys cold-rolled sheet cos2 degree of orientation degree of preferment diffracting plane diffraction arcs direct information direction of rolling Doctor of Philosophy dry ice equation etched face-diagonal family of planes given crystallite given diffraction ring hydrogen inches incident beam incident X-ray beam licknes mean orientation metal nickel content number of passes number of poles patterns were taken Pennsylvania State College photographic film plane-families plane-form plot pole-figure of Fig position preferred orientation Pure Cold-Rolled Iron-Nickel Pure Fe pure Fe-Ni alloy pure iron RC and BC Reduc r Pass reduction in thickness reduction per pass reference sphere regulate per cent represents rolled sheet rolling direction rolling treatment samples solid solution sphere of reference SS SS stereographic pole-figure stereographic projection Study of Preferred taken to regulate theoretical pole-figure tion unit areas unit-cube X-ray diffraction