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By Warren P. Mason

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Extra resources for Applications to quantum and solid state physics

Example text

O s c i l l a t i o n s f r o m five orbit t y p e s were found, a n d M a c k i n t o s h concludes t h a t all m a g n e t o a c o u s t i c r e s u l t s a n d o t h e r m e a s u r e m e n t s a r e c o n s i s t e n t w i t h a F e r m i s u r f a c e of t w o s h e e t s . T h e s e c o n d - z o n e r e g i o n of h o l e s is s i m i l a r t o t h e a l u m i n u m s e c o n d z o n e ( b u t c o n t r a c t e d ) s h o w n i n F i g . 10a a n d t h e i n t e r c o n n e c t i n g a r m s s h o w n i n F i g .

T h e s p a t i a l r e s o n a n c e r e s u l t i n g w h e n Η || q w a s a n a l y z e d a n d w a s s h o w n t o g i v e t h e r a t e of c h a n g e of o r b i t a r e a a l o n g kz, o r db^\dkz. The experimen­ t a l v a l u e for t h e case s h o w n i n F i g . 01 A - 1 . G i b b o n s a n d F a l i c o v (1963) r e p o r t e d a s i m i l a r s t u d y w i t h a d d i t i o n a l emphasis on q u a n t u m oscillation m e a s u r e m e n t s ; t h e e x p e r i m e n t a l a r r a n g e ­ m e n t s w e r e c o v e r e d i n G i b b o n s (1962).

A m u c h b e t t e r fit of t h e t h i r d - z o n e a r m s w a s o b t a i n e d , h o w e v e r , b y r o u n d i n g off t h e s h a r p t r i a n g u l a r cross s e c t i o n of t h e f r e e - e l e c t r o n m o d e l b y a m e t h o d of o r t h o g o n a l - p l a n e - w a v e i n t e r p o l a t i o n . T h e r e d u c e d d i m e n s i o n s r e q u i r e d for t h e r o u n d i n g off w e r e felt t o b e w i t h i n experimental error. E x p e r i m e n t s w i t h Η || q for l o n g i t u d i n a l w a v e s h a v e b e e n p r e s e n t e d b y M a c k i n t o s h ( 1 9 6 3 a ) .

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