Pillai So - Solid State Physics

 

NEW AGE

9TH

SOLID

N

I

N

T

H

EDITION

SOLID STATE PHYSICS

STATE PHYSICS S O PILLAI

BSc. (Hons.), (Hons.), MSc., PhD Professor of Physics (Retd.) Anna University, Chennai, India

S O PILLAI

ISBN

:   978 93 89802 31 3

Price

: 

650.00

Pub Da te :   2021 Fo r ma t

:   Paperback 

Extent

:   934 pages

About the Book: The ninth multicolour  edition of this book has been prepared with a few additional features. features. It includes three new topics–Matter Waves, Uncertainty Principle with Experimental Illustrations and Physical Interpretati Interpretation on of the Wave Wave Function Ѱ, which may be of immense use for the students and teachers. Corrections have been made in about a dozen problems.

Contents: 

• Introduction Ÿ

Ÿ

About the Authors: Dr. S O Pillai, PhD, has had a teaching career spanning thirty eight years, which he carried out Dr. with involvement and dedication but without any interruption. The long experience in teaching  both  bot h undergr undergradu aduate ate Engin Engineer eering ing stude students nts and and postgra postgradua duate te studen students ts in Materi Materials als Scien Science, ce, and and the interaction with them helped him to bring out half a dozen textbooks till date.

During his stay in the main campus of Anna University from 1976 to 1998, he guided many MSc. and MPhil. students in their projects and two of them earned the PhD degree. Forty five research papers based on his independent research work in the field of ultrasonics and Material Science, and a valuable citation from then Governor of Tamil Nadu for his voluntary blood donation for about fifteen times are the other valuable contributions of Professor Pillai. Dr. S O Pillai’s all round accomplishments including the self regulatory system and the admirable feedbacks of the students fetched him Dr. Radhakrishnan Best Teacher Award for

Ÿ

Ÿ

 Interatomic Forces and Bondings in Solids  Structural Study of Crystalline Solids  Wave Nature of Matter and X-Ray Diffraction

Ÿ

 Electrical Properties of Metals

Ÿ

 Thermal Properties of Solids

Ÿ

 Superconductivity

Ÿ

Ÿ

Ÿ

the year 1989-90. Ÿ

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 Review of Atomic Structure

 Magnetic Properties of Materials  Physics of Semiconductors  Dielectrics and Related Properties  Optical Properties of Solids

Ÿ

 Nanomaterials

Ÿ

 Other Important Topics

Readership and Market Potential:  Potential: Undergraduate/pos Undergraduate/postgraduate tgraduate students and teachers of Physics & Engineering • University and college libraries • Researchers,  professionals and practicing engineers.

 Committed to Educate the Nation 

NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS LONDON • NEW DELHI • NAIROBI •

IN INDIA 

 

9

TH

NEW AGE

SOLID STATE PHYSICS

S O PILLAI

 

SOLID STA ST ATE PHYSIC PHYSICS S

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SOLID STATE PHYSICS N I

N T H

EDITION

S O PILLAI B.Sc. (Hons.), M.Sc., PhD Professor of Physics ( Retd .) .)

Anna University, Chennai India

NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS

LONDON • NEW DELHI • NAIROBI •

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Published by New Age International (P) Ltd., Publishers First Edition: 1996 Ninth Multi Colour Edition: 2021 All rights reserved.

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ISBN: 978-93-89802-31-3 C-20-03-14290

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    

                                                                                                                                                                                                                                                                                                                                 

 

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        

 

  

     

 

 

     

 

    

 

 

    

     

 

   

 

   

       

 

   

 

     

         

 

   

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                                      

                

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                                   

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                



     

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                

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                 

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                 

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                

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    

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                                                                                                                             

                

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                 

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                 

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                

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   

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                

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                 

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                 

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                



   

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                                                                                      

                

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                 

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                 

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                

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 



                                                    

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                

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                 

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                 

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                

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   

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                                  

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                 

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                

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                                                                                                  

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                

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                 

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                 

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                



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                                                                                               

                

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                 

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                 

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                

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   

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                 

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                 

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                       

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                                                                                                                                                                                       

     

                 

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                                   

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                

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              

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                                                                                                    

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               

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       

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                                                                                                                                                                                                                                                                                                                                                                                                                   

                    

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                                                                                                   µ                                                                                                                                θ     θ                                                                                                                                                                                                                              τ                         

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                                                                                                                                                                                                                                                                                                                                                                                                                       

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                                                                                                                                                                       λ         ε                                     θ    θ                                                                                                                                                                                                                                         ε   δ               

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   

       

                   α        α                     α                                    α                                                                                                                                                                     

( Ze) (e) 2

4 π ε 0 r 

                     ε0             

mv

2

r 

                                    

 

mv r 

2

 

 Ze

2

 

2

r 

4π ε 0



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

 



   

      v

                                                      

 f c  f e

+ Ze

r 

           

        

                                                                                                                                                                                                                                                                           

    

                                                                                                                                                                 

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               



                                                                     ( Ze) (e) 2

4 πε 0 r 



  mv

2

r 

                                                                                    π              

   h  2    h 2  v mr    r     2    h         2   ω  ω      n

 



n

n

           

 



                                                                                                              υ          υ                                        

       

                            2

mvn r n

2



 vn 

  ( Ze) (e) 4   Ze

4

2

0 r n

 



2

 0

                           h

    2      

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                                 

 



   

      

   h    2  

 



   h    1            2   mr     

 

n



         

    2

2

2    Ze     4 mr n  0

nh

2

2

2

mr n

n h

4



  Ze

4

2

0

             

 n2 h 2 0        mZe2    

   v n

                                           

 f c  f e + Ze

r 

  nh        mZe2      2 m      n 2 h 2 0    

 Ze

2 nh



n

2



      

0

                                              

ω  

 

 2 T n

  π   

  1     2

vn r n

   Ze 2     mZe2    2nh 0   n 2 h 2 0  2 4

   

  mZ e

4

2 3 3 0n h

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

 

 

               

   ∝

  



 1 n

3

           

                                                                                                     ∞         

 

F (r ) dr  

r n

r n

 

 

Ze dr 

 4

0

  

         

1 2

1 2

2

 

2

 Ze

4

r n

2

0

r n

 vn2

2

 v n      

 

  Ze

8

2

0

r n

                   

 Ze

2

4 π ε 0 r n

 

 Ze

2

8π ε 0 r n

  

 Ze

2

8π ε 0 r n

         

  Ze 2     mZe2        –   2 2  8 0   n h 0  2 4

       – 

  mZ e

8

2 2 2 0n h

 



                                               

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                                 

 



   

                                                      

           2

 

 

 n h

2 0   2

     

mZe

 n

2

(6.626

1 10 0

(9.10 109

1 10 0

  

–34 2

) (8.854

–31

) (1.6 60 02

10 10 10 10

–12

)

–19 2

)

         

 



                            

 

 

                 



   

 

          2

    

    



 

   

    

    

     

mZ e 2 0

8

4

2

n h

        

2

 B n

          2

( 9.10 109 n

2

 

n

10 –18 2

2.1 79 79 n

2

(1.60 602

13.6 n

2

 

4

2 0

h

8

10

10 10



2

1 10 0 –31 ) (1.6 60 02

8 (8.854

2.17 1 79

me

  

–12 2

10 1 0 –19 ) 4

) (6.626

10 10

–34 2

)

 

–18

10

–19

)

 

 

  

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

 

 

               



                                      

13.6

    

4

             

13.6

       

9

     

                               



  mZ e 2 0

 8

1  n2  1

2 4



 

υ 

mZ e 2 0

8

2

h

υ 

1

  mZ e 2 0

8  c

h

3

mZ e 2 0

8

mZ e 2 0

8

ch

  

1 2 n2

1  n2  1

2 4

 

2 4



–

   mZ 2 e 4  – 2 2 2   8 0 h n1 

1 1   2 – 2  n1 n2 

2 4

υ 

 2 2    h n2  2 4

υ                 –

3

h

3

–

 



 2  n2  1

1 1   2 – 2  n1 n2 

                 



 1

2 4

mZ e

 

8

2 0

ch

3

1 1   2 – 2  n1 n2 

 



2 4

mZ e

8

2 0

ch

3

                         

    

 

(9.10 109

8(8.854

1 10 0

1 10 0

–31

–12 2

) (3

) (1.6 60 02 8

10 10

–19 4

1 10 0 ) (6.626

)

10 10

–34 3

)

                                                        

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                                 

 



   

         ∞          

 

4

2

2 0

2

me Z 

8

h

1 – 1           1

     

 



                                                                                                                                                                            

    

                                    



1

 

1

 

–

2

1

 1 1

2

1

          

3

2

n2

  1

 

          1 – 

 8     9

1 

         

  4 

3

        

4

           

15        16  

        

                               

1 2 2

      

–

1 2 n2

          

                                  α                   β   

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               



     s     e         i     r     e

    r      s      e

L    y  m   a  n    s  e   r    i    e  s  

  l e u s   N u c

     m         l      a         B

n   

P a  a s  sc     he n c

n  

=   

 =    1  

 s e  er    i  r i   e  es  s   

2   

n   

=   

3   

n   

=     4    

n   

=     5     

n   =   

6    

B       r      a     

  s    i  e    r   e      d  s    n    u    f     P

c     e     k       t       t        s      e     r      i        e     s     

             

                     

   

1 2 3

      

–

 2         n2  1

 

                     

1 2 4

     

–

1 2 n2

           

 

                        

1

     

5

2

–

1  2

n2

         

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                                 

 

NEW AGE

9TH

SOLID

N

I

N

T

H

EDITION

SOLID STATE PHYSICS

STATE PHYSICS S O PILLAI

BSc. (Hons.), (Hons.), MSc., PhD Professor of Physics (Retd.) Anna University, Chennai, India

S O PILLAI

ISBN

:   978 93 89802 31 3

Price

: 

650.00

Pub Da te :   2021 Fo r ma t

:   Paperback 

Extent

:   934 pages

About the Book: The ninth multicolour  edition of this book has been prepared with a few additional features. features. It includes three new topics–Matter Waves, Uncertainty Principle with Experimental Illustrations and Physical Interpretati Interpretation on of the Wave Wave Function Ѱ, which may be of immense use for the students and teachers. Corrections have been made in about a dozen problems. About the Authors: Dr.. S O Pillai, PhD, has had a teaching career spanning thirty eight years, which he carried out Dr with involvement and dedication but without any interruption. The long experience in teaching  both  bot h undergr undergradu aduate ate Engin Engineer eering ing stude students nts and and postgra postgradua duate te studen students ts in Materi Materials als Scien Science, ce, and and the interaction with them helped him to bring out half a dozen textbooks till date.

During his stay in the main campus of Anna University from 1976 to 1998, he guided many MSc. and MPhil. students in their projects and two of them earned the PhD degree. Forty five research papers based on his independent research work in the field of ultrasonics and Material Science, and a valuable citation from then Governor of Tamil Nadu for his voluntary blood donation for about fifteen times are the other valuable contributions of Professor Pillai. Dr. S O Pillai’s all round accomplishments including the self regulatory system and the admirable feedbacks of the students fetched him Dr. Radhakrishnan Best Teacher Award for

Contents: 

• Introduction Ÿ

 Review of Atomic Structure

Ÿ

 Interatomic Forces and

Ÿ

Bondings in Solids  Structural Study of Crystalline Solids

Ÿ

Ÿ

 Electrical Properties of Metals

Ÿ

 Thermal Properties of Solids

Ÿ

 Superconductivity

Ÿ

Ÿ

Ÿ

the year 1989-90.

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 Wave Nature of Matter and X-Ray Diffraction

 Magnetic Properties of Materials  Physics of Semiconductors  Dielectrics and Related Properties

Ÿ

 Optical Properties of Solids

Ÿ

 Nanomaterials

Ÿ

 Other Important Topics

Readership and Market Potential:  Potential: Undergraduate/pos Undergraduate/postgraduate tgraduate students and teachers of Physics & Engineering • University and college libraries • Researchers,  professionals and practicing engineers.

 Committed to Educate the Nation 

NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS LONDON • NEW DELHI • NAIROBI •

IN INDIA