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Download e-book for iPad: Applications to quantum and solid state physics by Warren P. Mason

By Warren P. Mason

ISBN-10: 0123956641

ISBN-13: 9780123956644

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Sample text

H e r e vz is t h e F e r m i v e l o c i t y a l o n g ζ or a i n t h i s c a s e a n d m * is t h e effective e l e c t r o n m a s s . A c o u s t i c c y c l o t r o n r e s o n a n c e i n l a r g e g a l l i u m single c r y s t a l s a t a s o u n d f r e q u e n c y of 115 M c / s e c h a s b e e n r e p o r t e d b y R o b e r t s (1961). T h e c r y s t a l s a p p e a r e d t o h a v e a n ω τ of a b o u t 5 a n d a v e r y l a r g e ql, of a p p r o x i m a t e l y 1500. T h e first m e a s u r e m e n t s w e r e m a d e w i t h a l o n g i t u d i n a l s o u n d w a v e a l o n g t h e c a x i s ; t h r e e m a x i m a w e r e o b s e r v e d w i t h a series of m a g n e t o a c o u s t i c oscil­ l a t i o n s , a n d t h e l a t t e r a p p e a r e d t o r e l a t e t o p i e c e s of t h e F e r m i s u r f a c e i n t h e s e v e n t h z o n e .

T h e electronic contribution t o t h e ultrasonic a t t e n u a t i o n h a s b e e n m e a s u r e d b y M a c f a r l a n e et al. ( 1 9 6 5 a , b ) . 02 5 F I G . 1 6 . Open-orbit resonances observed in shear w a v e s in copper: q parallel t o [ 1 1 0 ] , polarization v e c t o r parallel t o [ 1 Ϊ 0 ] , a n d Η in t h e ( 1 1 0 ) plane perpendicular t o [ i l l ] [from B u r m e i s t e r et al. H. (1963)]. CHROMIUM: Q U A N T U M OSCILLATIONS P r e l i m i n a r y r e s u l t s of t h e q u a n t u m - o s c i l l a t i o n s a b s o r p t i o n i n single c r y s t a l s of c h r o m i u m h a v e b e e n p u b l i s h e d b y W a l l a c e et al.

D e a t o n a n d G a v e n d a (1964) i n a c o m p l e t e s t u d y o u t l i n e d t h e t h e o r y , t h e t e m p e r a t u r e s h a r p e n i n g of t h e lines, t h e u l t r a s o u n d f r e q u e n c y d e p e n ­ d e n c e , t h e p r e s e n c e of t h e o p e n - o r b i t r e s o n a n c e in b o t h l o n g i t u d i n a l a n d s h e a r w a v e s , a n d t h e p r e c i s e o r i e n t a t i o n d e p e n d e n c e . T h e a p p e a r a n c e of s a t e l l i t e r e s o n a n c e lines s u g g e s t s t h a t o p e n o r b i t s r u n n i n g t h r o u g h a few B r i l l o u i n z o n e s a r e t h e s o u r c e .

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Applications to quantum and solid state physics by Warren P. Mason


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