diff options
Diffstat (limited to '1826/CH8')
-rwxr-xr-x | 1826/CH8/EX8.1/ex8_1.sce | 31 | ||||
-rwxr-xr-x | 1826/CH8/EX8.10/ex8_10.sce | 10 | ||||
-rwxr-xr-x | 1826/CH8/EX8.11/ex8_11.sce | 10 | ||||
-rwxr-xr-x | 1826/CH8/EX8.12/ex8_12.sce | 4 | ||||
-rwxr-xr-x | 1826/CH8/EX8.13/ex8_13.sce | 4 | ||||
-rwxr-xr-x | 1826/CH8/EX8.14/ex8_14.sce | 24 | ||||
-rwxr-xr-x | 1826/CH8/EX8.15/ex8_15.sce | 12 | ||||
-rwxr-xr-x | 1826/CH8/EX8.16/ex8_16.sce | 13 | ||||
-rwxr-xr-x | 1826/CH8/EX8.17/ex8_17.sce | 12 | ||||
-rwxr-xr-x | 1826/CH8/EX8.18/ex8_18.sce | 12 | ||||
-rwxr-xr-x | 1826/CH8/EX8.19/ex8_19.sce | 12 | ||||
-rwxr-xr-x | 1826/CH8/EX8.2/ex8_2.sce | 14 | ||||
-rwxr-xr-x | 1826/CH8/EX8.20/ex8_20.sce | 14 | ||||
-rwxr-xr-x | 1826/CH8/EX8.3/ex8_3.sce | 8 | ||||
-rwxr-xr-x | 1826/CH8/EX8.4/ex8_4.sce | 12 | ||||
-rwxr-xr-x | 1826/CH8/EX8.5/ex8_5.sce | 9 | ||||
-rwxr-xr-x | 1826/CH8/EX8.6/ex8_6.sce | 11 | ||||
-rwxr-xr-x | 1826/CH8/EX8.7/ex8_7.sce | 16 | ||||
-rwxr-xr-x | 1826/CH8/EX8.8/ex8_8.sce | 8 | ||||
-rwxr-xr-x | 1826/CH8/EX8.9/ex8_9.sce | 10 |
20 files changed, 246 insertions, 0 deletions
diff --git a/1826/CH8/EX8.1/ex8_1.sce b/1826/CH8/EX8.1/ex8_1.sce new file mode 100755 index 000000000..b8a0139d3 --- /dev/null +++ b/1826/CH8/EX8.1/ex8_1.sce @@ -0,0 +1,31 @@ +// Example 8.1, page no-208
+clear
+clc
+d_cu=8.96*10^3//density of cu
+a_cu=63.55//Atomic weight of cu
+d_z=7100
+a_z=65.38
+d_al=2700
+a_al=27
+avg=6.023*10^26
+h=6.626*10^-34
+m=9.1*10^-31//kg
+e=1.6*10^-19//C
+
+//(i)
+n_cu=d_cu*avg/a_cu
+e_cu=(h^2/(8*m))*(3*n_cu/%pi)^(2/3)
+e_cu=e_cu/e
+printf("\n(i)For Cu\nThe electron concentration in Cu is %.4f*10^28 per m^3\nFermi energy at 0 k =%.4f eV ",n_cu*10^-28,e_cu)
+
+//(ii)
+n_z=d_z*avg*2/a_z
+e_z=(h^2/(8*m))*(3*n_z/%pi)^(2/3)
+e_z=e_z/e
+printf("\n(i)For Zn\nThe electron concentration in Zn is %.4f*10^28 per m^3\nFermi energy at 0 k =%.4f eV ",n_z*10^-28,e_z)
+
+//(i)
+n_al=d_al*avg*3/a_al
+e_al=(h^2/(8*m))*(3*n_al/%pi)^(2/3)
+e_al=e_al/e
+printf("\n(i)For Al\nThe electron concentration in Al is %.4f*10^28 per m^3\nFermi energy at 0 k =%.4f eV ",n_al*10^-28,e_al)
diff --git a/1826/CH8/EX8.10/ex8_10.sce b/1826/CH8/EX8.10/ex8_10.sce new file mode 100755 index 000000000..02761cd2f --- /dev/null +++ b/1826/CH8/EX8.10/ex8_10.sce @@ -0,0 +1,10 @@ +// Example 8.10, page no-215
+clear
+clc
+n=18.1*10^28//per cubic m
+h=6.62*10^-34//Js
+m=9.1*10^-31//Kg
+e=1.6*10^-19//C
+ef=((3*n/(8*%pi))^(2/3))*((h^2)/(2*m))
+ef=ef/e
+printf("The Fermi energy at 0 K is %.2f eV ",ef)
diff --git a/1826/CH8/EX8.11/ex8_11.sce b/1826/CH8/EX8.11/ex8_11.sce new file mode 100755 index 000000000..cc67491a1 --- /dev/null +++ b/1826/CH8/EX8.11/ex8_11.sce @@ -0,0 +1,10 @@ +// Example 8.11, page no-215
+clear
+clc
+e=1.6*10^-19//C
+Ed=0.5*e
+k=1.38*10^-23
+x=0.01
+T=Ed/(k*log((1/x)-1))
+
+printf("Temperature at which there is 1%% probability that a state with 0.5 eV energy occupied above the Fermi energy level is %.1f K",T)
diff --git a/1826/CH8/EX8.12/ex8_12.sce b/1826/CH8/EX8.12/ex8_12.sce new file mode 100755 index 000000000..5ebf8d3b6 --- /dev/null +++ b/1826/CH8/EX8.12/ex8_12.sce @@ -0,0 +1,4 @@ +// Example 8.12, page no-216
+clear
+clc
+printf("Theorotical Exam[ple")
diff --git a/1826/CH8/EX8.13/ex8_13.sce b/1826/CH8/EX8.13/ex8_13.sce new file mode 100755 index 000000000..316095b90 --- /dev/null +++ b/1826/CH8/EX8.13/ex8_13.sce @@ -0,0 +1,4 @@ +// Example 8.1, page no-217
+clear
+clc
+printf("Theorotical Exam[ple")
diff --git a/1826/CH8/EX8.14/ex8_14.sce b/1826/CH8/EX8.14/ex8_14.sce new file mode 100755 index 000000000..c69f28205 --- /dev/null +++ b/1826/CH8/EX8.14/ex8_14.sce @@ -0,0 +1,24 @@ +// Example 8.14, page no-218
+clear
+clc
+ef=2.1
+k=1.38*10^-23
+T=300//K
+e=1.6*10^-19//c
+//(i)
+p1=0.99
+E1=ef+(k*T*log(-1+1/p1))/e
+
+//(ii)
+p2=0.01
+E2=ef+(k*T*log(-1+1/p2))/e
+
+//(iii)
+p3=0.5
+E3=ef+(k*T*log(-1+1/p3))/e
+
+printf("\nThe energies for the occupying of delectrons at %d K for the probability of %.2f is %.2f",T,p1,E1)
+
+printf("\nThe energies for the occupying of delectrons at %d K for the probability of %.2f is %.2f",T,p2,E2)
+
+printf("\nThe energies for the occupying of delectrons at %d K for the probability of %.2f is %.2f",T,p3,E3)
diff --git a/1826/CH8/EX8.15/ex8_15.sce b/1826/CH8/EX8.15/ex8_15.sce new file mode 100755 index 000000000..c2e16bc25 --- /dev/null +++ b/1826/CH8/EX8.15/ex8_15.sce @@ -0,0 +1,12 @@ +// Example 8.15, page no-219
+clear
+clc
+e=1.6*10^-19 //C
+ed=0.02*e
+T1=200
+T2=400
+k=1.38*10^-23
+fe1=1/(1+%e^(ed/(k*T1)))
+fe2=1/(1+%e^(ed/(k*T2)))
+printf("\nThe Fermi distribution function for the given energy at %d K is %.4f",T1,fe1)
+printf("\nThe Fermi distribution function for the given energy at %d K is %.4f",T2,fe2)
diff --git a/1826/CH8/EX8.16/ex8_16.sce b/1826/CH8/EX8.16/ex8_16.sce new file mode 100755 index 000000000..d18410867 --- /dev/null +++ b/1826/CH8/EX8.16/ex8_16.sce @@ -0,0 +1,13 @@ +// Example 8.16, page no-220
+clear
+clc
+d=10500//density
+avg=6.022*10^26
+awt=107.9
+n=d*avg/awt//per cubic m
+h=6.62*10^-34//Js
+m=9.1*10^-31//Kg
+e=1.6*10^-19//C
+ef=((3*n/(8*%pi))^(2/3))*((h^2)/(2*m))
+ef=ef/e
+printf("The Fermi energy for given metal is %.2f eV ",ef)
diff --git a/1826/CH8/EX8.17/ex8_17.sce b/1826/CH8/EX8.17/ex8_17.sce new file mode 100755 index 000000000..9e667507a --- /dev/null +++ b/1826/CH8/EX8.17/ex8_17.sce @@ -0,0 +1,12 @@ +// Example 8.17, page no-221
+clear
+clc
+e=1.6*10^-19 //C
+ed=0.2*e
+T1=300
+T2=1000
+k=1.38*10^-23
+fe1=1/(1+%e^(ed/(k*T1)))
+fe2=1/(1+%e^(ed/(k*T2)))
+printf("\nThe Fermi distribution function for the given energy at %d K is %.6f",T1,fe1)
+printf("\nThe Fermi distribution function for the given energy at %d K is %.4f",T2,fe2)
diff --git a/1826/CH8/EX8.18/ex8_18.sce b/1826/CH8/EX8.18/ex8_18.sce new file mode 100755 index 000000000..439d0ddd4 --- /dev/null +++ b/1826/CH8/EX8.18/ex8_18.sce @@ -0,0 +1,12 @@ +// Example 8.18, page no-221
+clear
+clc
+
+h=6.62*10^-34//Js
+m=9.1*10^-31//Kg
+e=1.6*10^-19//C
+ef=3*e
+k=((3/(8*%pi))^(2/3))*((h^2)/(2*m))
+k=ef/k
+n=k^(1.5)
+printf("The number of free electrons concentration in metal is %.2f *10^28 per cubic meter ",n*10^-28)
diff --git a/1826/CH8/EX8.19/ex8_19.sce b/1826/CH8/EX8.19/ex8_19.sce new file mode 100755 index 000000000..5fbabe0a5 --- /dev/null +++ b/1826/CH8/EX8.19/ex8_19.sce @@ -0,0 +1,12 @@ +// Example 8.18, page no-221
+clear
+clc
+
+h=6.62*10^-34//Js
+m=9.1*10^-31//Kg
+e=1.6*10^-19//C
+ef=5.5*e
+k=((3/(8*%pi))^(2/3))*((h^2)/(2*m))
+k=ef/k
+n=k^(1.5)
+printf("The number of free electrons concentration in metal is %.3f *10^28 per cubic meter ",n*10^-28)
diff --git a/1826/CH8/EX8.2/ex8_2.sce b/1826/CH8/EX8.2/ex8_2.sce new file mode 100755 index 000000000..1f712f8bc --- /dev/null +++ b/1826/CH8/EX8.2/ex8_2.sce @@ -0,0 +1,14 @@ +// Example 8.2, page no-210
+clear
+clc
+avg=6.023*10^26
+h=6.626*10^-34
+m=9.1*10^-31//kg
+e=1.6*10^-19//C
+n=8.4905*10^28
+
+ef=(h^2/(8*m))*(3*n/%pi)^(2/3)
+ef=ef/e
+gam=6.82*10^27
+x=(gam*sqrt(ef))/2
+printf("The density of states for Cu at the Fermi level for T = 0 K is %.0f*10^27 m^-3",x*10^-27)
diff --git a/1826/CH8/EX8.20/ex8_20.sce b/1826/CH8/EX8.20/ex8_20.sce new file mode 100755 index 000000000..78851a4d5 --- /dev/null +++ b/1826/CH8/EX8.20/ex8_20.sce @@ -0,0 +1,14 @@ +// Example 8.18, page no-221
+clear
+clc
+
+h=6.62*10^-34//Js
+m=9.1*10^-31//Kg
+e=1.6*10^-19//C
+ef=7*e
+k=((3/(8*%pi))^(2/3))*((h^2)/(2*m))
+k=ef/k
+n=k^(1.5)
+printf("The number of free electrons concentration in metal is %.2f *10^28 per cubic meter ",n*10^-28)
+vth=sqrt(2*ef/m)
+printf("\nThe termal velocity of electrons in copper is %.3f *10^6 m/s",vth*10^-6)
diff --git a/1826/CH8/EX8.3/ex8_3.sce b/1826/CH8/EX8.3/ex8_3.sce new file mode 100755 index 000000000..ba423e1b7 --- /dev/null +++ b/1826/CH8/EX8.3/ex8_3.sce @@ -0,0 +1,8 @@ +// Example 8.3, page no-210
+clear
+clc
+rni=63//n Ohm.m
+rcr=129
+k=1120
+c=(k*10^-9)/(0.8*(1-0.8))
+printf("The Nordheims coeeficient is %.0f *10^-6 Ohm-m",c*10^6)
diff --git a/1826/CH8/EX8.4/ex8_4.sce b/1826/CH8/EX8.4/ex8_4.sce new file mode 100755 index 000000000..791e3a60e --- /dev/null +++ b/1826/CH8/EX8.4/ex8_4.sce @@ -0,0 +1,12 @@ +// Example 8.4, page no-211
+clear
+clc
+d=2700//kh/m^3
+awt=27
+t=10^-14//s
+e=1.6*10^-19//C
+m=9.1*10^-31//Kg
+avg=6.023*10^26
+n=avg*d*3/awt
+sig=(n*t*e^2)/m
+printf("The conductivity of Al is %.4f*10^7 ohm-m.",sig*10^-7)
diff --git a/1826/CH8/EX8.5/ex8_5.sce b/1826/CH8/EX8.5/ex8_5.sce new file mode 100755 index 000000000..3c7b5fc95 --- /dev/null +++ b/1826/CH8/EX8.5/ex8_5.sce @@ -0,0 +1,9 @@ +// Example 8.5, page no-211
+clear
+clc
+e1=0.01//eV
+e=1.6*10^-19//C
+ed=e*e1
+T=200//K
+E=1/(1+%e^(ed/(T*1.38*10^-23)))
+printf("The Fermy distribution function for energy E is %.4f",E)
diff --git a/1826/CH8/EX8.6/ex8_6.sce b/1826/CH8/EX8.6/ex8_6.sce new file mode 100755 index 000000000..7e98be265 --- /dev/null +++ b/1826/CH8/EX8.6/ex8_6.sce @@ -0,0 +1,11 @@ +// Example 8.6, page no-212
+clear
+clc
+
+v=0.86*10^6//m/s
+m=9.1*10^-31//Kg
+e=1.6*10^-19//C
+k=1.38*10^-23 //J/K
+E=(m*v^2)/2
+T=E/k
+printf("\nThe fermi energy is %.3f*10^-19 J\nThe Fermi Temperature Tf is %.2f*10^4 K",E*10^19,T*10^-4)
diff --git a/1826/CH8/EX8.7/ex8_7.sce b/1826/CH8/EX8.7/ex8_7.sce new file mode 100755 index 000000000..c4d73038c --- /dev/null +++ b/1826/CH8/EX8.7/ex8_7.sce @@ -0,0 +1,16 @@ +// Example 8.7, page no-212
+clear
+clc
+
+m=9.1*10^-31//Kg
+dE=0.01 //eV
+h=6.63*10^-34///Js
+eF=3//eV
+e=1.6*10^-19//C
+E1=eF*e
+E2=E1+e*dE
+
+n=(4*%pi*(2*m)^(1.5))/h^3
+k=((2*0.3523/3)*((E2^(1.5)-(E1^(1.5)))))
+n=n*k
+printf("The number of states lying between the energy level is %.2f*10^25",n*10^-25)
diff --git a/1826/CH8/EX8.8/ex8_8.sce b/1826/CH8/EX8.8/ex8_8.sce new file mode 100755 index 000000000..3c6310b89 --- /dev/null +++ b/1826/CH8/EX8.8/ex8_8.sce @@ -0,0 +1,8 @@ +// Example 8.8, page no-214
+clear
+clc
+Tf=24600//K
+m=9.11*10^-31//Kg
+k=1.38*10^-23
+vf=sqrt(2*k*Tf/m)
+printf("The Fermi Velocity is %.4f *10^6 m/s",vf*10^-6)
diff --git a/1826/CH8/EX8.9/ex8_9.sce b/1826/CH8/EX8.9/ex8_9.sce new file mode 100755 index 000000000..cd5a49b16 --- /dev/null +++ b/1826/CH8/EX8.9/ex8_9.sce @@ -0,0 +1,10 @@ +// Example 8.9, page no-214
+clear
+clc
+n=18.1*10^28//per cubic m
+h=6.62*10^-34//Js
+m=9.1*10^-31//Kg
+e=1.6*10^-19//C
+ef=((3*n/(8*%pi))^(2/3))*((h^2)/(2*m))
+ef=ef/e
+printf("The Fermi energy at 0 K is %.2f eV ",ef)
|