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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /2243/CH11
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Diffstat (limited to '2243/CH11')
-rwxr-xr-x2243/CH11/EX11.10/Ex11_10.sce29
-rwxr-xr-x2243/CH11/EX11.10/Res11_10.txt4
-rwxr-xr-x2243/CH11/EX11.11/Ex11_11.sce19
-rwxr-xr-x2243/CH11/EX11.11/Res11_11.txt3
-rwxr-xr-x2243/CH11/EX11.12/Ex11_12.sce11
-rwxr-xr-x2243/CH11/EX11.12/Res11_12.txt1
-rwxr-xr-x2243/CH11/EX11.13/Ex11_13.sce13
-rwxr-xr-x2243/CH11/EX11.13/Res11_13.txt3
-rwxr-xr-x2243/CH11/EX11.14/Ex11_14.sce17
-rwxr-xr-x2243/CH11/EX11.14/Res11_14.txt1
-rwxr-xr-x2243/CH11/EX11.3/Ex11_3.sce6
-rwxr-xr-x2243/CH11/EX11.3/Res11_3.txt1
-rwxr-xr-x2243/CH11/EX11.4/Ex11_4.sce7
-rwxr-xr-x2243/CH11/EX11.4/Res11_4.txt1
-rwxr-xr-x2243/CH11/EX11.6/Ex11_6.sce16
-rwxr-xr-x2243/CH11/EX11.6/Res11_6.txt2
-rwxr-xr-x2243/CH11/EX11.7/Ex11_7.sce16
-rwxr-xr-x2243/CH11/EX11.7/Res11_7.txt4
-rwxr-xr-x2243/CH11/EX11.8/Ex11_8.sce13
-rwxr-xr-x2243/CH11/EX11.8/Res11_8.txt3
-rwxr-xr-x2243/CH11/EX11.9/Ex11_9.sce9
-rwxr-xr-x2243/CH11/EX11.9/Res11_9.txt1
22 files changed, 180 insertions, 0 deletions
diff --git a/2243/CH11/EX11.10/Ex11_10.sce b/2243/CH11/EX11.10/Ex11_10.sce
new file mode 100755
index 000000000..350ed47c8
--- /dev/null
+++ b/2243/CH11/EX11.10/Ex11_10.sce
@@ -0,0 +1,29 @@
+clc();
+clear;
+//Given :
+Ecd = 0.045; // Ec-Ed in eV
+Ecf = 0.035; // Ec-Ef in eV
+Efd = 0.01;// Ef-Ed in eV
+Ev = 0; // in eV
+Ef = 1.065; // in eV
+me = 9.1*10^-31;// electron mass in kg
+m_e = 0.31*me; // free electron mass
+m_h = 0.38*me;// hole mass
+kT = 0.026; // kT value at room temperature
+h = 6.625*10^-34; // planck's constant in Js
+Nc = 2*((2*%pi*m_e*kT*1.6*10^-19)/(h^2))^(3/2); // per m^3
+Nv = 2*((2*%pi*m_h*kT*1.6*10^-19)/(h^2))^(3/2); // per m^3
+//(a)
+// Nc*exp[-(Ec-Ef)/kT] = Nd*[1 - 1/(1+ exp[(Ed-Ef)/kT])]
+//Ed - Ef = -(Ef-Ed) = - Efd
+Nd = (Nc*exp(-Ecf/kT))/(1 - (1/(1+exp(-Efd/kT)))); // per m^3
+//(b)
+Nd_plus = Nd*(1 - (1/(1 + exp(-Efd/kT)))); // per m^3
+//(c)
+n = Nc*exp(-Ecf/kT); // per m^3
+//(d)
+p = Nv*exp((Ev-Ef)/kT);// per m^3
+printf("Nd = %.1f x 10^24 / m^3 \n",Nd*10^-24);
+printf("Nd_plus = %.2f x 10^24 / m^3 \n",Nd_plus*10^-24);
+printf("n = %.2f x 10^24 / m^3\n",n*10^-24);
+printf("p = %.1f x 10^6 / m^3",p*10^-6);
diff --git a/2243/CH11/EX11.10/Res11_10.txt b/2243/CH11/EX11.10/Res11_10.txt
new file mode 100755
index 000000000..cc525f3f5
--- /dev/null
+++ b/2243/CH11/EX11.10/Res11_10.txt
@@ -0,0 +1,4 @@
+ Nd = 2.8 x 10^24 / m^3
+Nd_plus = 1.13 x 10^24 / m^3
+n = 1.13 x 10^24 / m^3
+p = 9.6 x 10^6 / m^3 \ No newline at end of file
diff --git a/2243/CH11/EX11.11/Ex11_11.sce b/2243/CH11/EX11.11/Ex11_11.sce
new file mode 100755
index 000000000..b8adcf9df
--- /dev/null
+++ b/2243/CH11/EX11.11/Ex11_11.sce
@@ -0,0 +1,19 @@
+clc();
+clear;
+//Given :
+ni = 1.5*10^16; // ni for Si in m^-3
+mue = 0.135; // mobility of free electrons in m^2/Vs
+muh = 0.048; // mobility of holes in m^2/Vs
+Nd = 10^21; // phosphorus atoms/m^3
+e = 1.6*10^-19;// charge of an electron in C
+//(a)
+n = Nd; // electrons/m^3
+//(b)
+p = ni^2/Nd; // holes/m^3
+//(c)
+sigma = e*(n*mue + p*muh); // conductivity in mho m^-1
+rho = 1/sigma; // resistivity in ohm m
+
+printf("Major carrier concentration = %.1f x 10^21 electrons/m^3 \n",n*10^-21);
+printf("Minor carrier concentration = %.2f x 10^11 holes/m^3\n",p*10^-11);
+printf("Resistivity = %.3f ohm m",rho);
diff --git a/2243/CH11/EX11.11/Res11_11.txt b/2243/CH11/EX11.11/Res11_11.txt
new file mode 100755
index 000000000..c3c25f898
--- /dev/null
+++ b/2243/CH11/EX11.11/Res11_11.txt
@@ -0,0 +1,3 @@
+ Major carrier concentration = 1.0 x 10^21 electrons/m^3
+Minor carrier concentration = 2.25 x 10^11 holes/m^3
+Resistivity = 0.046 ohm m \ No newline at end of file
diff --git a/2243/CH11/EX11.12/Ex11_12.sce b/2243/CH11/EX11.12/Ex11_12.sce
new file mode 100755
index 000000000..4f8f4afc6
--- /dev/null
+++ b/2243/CH11/EX11.12/Ex11_12.sce
@@ -0,0 +1,11 @@
+clc();
+clear;
+//Given :
+Eg = 1.1;// Energy gap in eV
+T1 = 300 ;// Temperature in K
+T2 = 473; // Temperature in K (273+ 200 = 473 K)
+k = 8.62*10^-5 ; // in eV
+// sigma = A*exp(-Eg/(2*k*T))
+//Ratio = sigma_473/sigma_300
+Ratio = exp((-Eg/(2*k))*((1/T2)-(1/T1)));
+printf("Thus, sigma_473 is %d times sigma_300",Ratio);
diff --git a/2243/CH11/EX11.12/Res11_12.txt b/2243/CH11/EX11.12/Res11_12.txt
new file mode 100755
index 000000000..cbf73a5fb
--- /dev/null
+++ b/2243/CH11/EX11.12/Res11_12.txt
@@ -0,0 +1 @@
+Thus, sigma_473 is 2389 times sigma_300 \ No newline at end of file
diff --git a/2243/CH11/EX11.13/Ex11_13.sce b/2243/CH11/EX11.13/Ex11_13.sce
new file mode 100755
index 000000000..26ea03983
--- /dev/null
+++ b/2243/CH11/EX11.13/Ex11_13.sce
@@ -0,0 +1,13 @@
+clc();
+clear;
+//Given :
+Eg1 = 0.72; // Energy gap for Ge in eV
+Eg2 = 1.1; // Energy gap for Si in eV
+Eg3 = 1.32; // Energy gap for GaAs in eV
+// lambda = c/v = (c*h)/Eg or lambda(A) = 12422/Eg (eV)
+lambda1 = 12422/Eg1; // wavelength in A (Ge)
+lambda2 = 12422/Eg2; // wavelength in A (Si)
+lambda3 = 12422/Eg3; // wavelength in A (GaAs)
+printf("Wavelength for Ge = %.1f A \n",lambda1);
+printf("Wavelength for Si = %.1f A \n",lambda2);
+printf("Wavelength for GaAs = %.2f A",lambda3);
diff --git a/2243/CH11/EX11.13/Res11_13.txt b/2243/CH11/EX11.13/Res11_13.txt
new file mode 100755
index 000000000..86ce0e7c9
--- /dev/null
+++ b/2243/CH11/EX11.13/Res11_13.txt
@@ -0,0 +1,3 @@
+ Wavelength for Ge = 17252.8 A
+Wavelength for Si = 11292.7 A
+Wavelength for GaAs = 9410.61 A \ No newline at end of file
diff --git a/2243/CH11/EX11.14/Ex11_14.sce b/2243/CH11/EX11.14/Ex11_14.sce
new file mode 100755
index 000000000..5a47365e0
--- /dev/null
+++ b/2243/CH11/EX11.14/Ex11_14.sce
@@ -0,0 +1,17 @@
+clc();
+clear;
+//Given :
+sigma = 4*10^-4; // conductivity at room temperature in ohm^-1 m^-1
+M = 28.1; // atomic weight in kg/kmole
+d = 2330; // density in kg/m^3
+dop = 10^8 ;// doping per 10^8 silicon atoms
+e = 1.6*10^-19; // charge of an electron in C
+mue = 0.135; // mobility of free electrons for silicon in m^2/Vs
+Na = 6.023*10^26 ; // Avagadro's constant in atoms/kmole
+N = (d*Na)/M; //atoms/m^3
+Nd = N/dop; // per m^3
+n = Nd; // electron concentration / m^3
+sigma1 = n*e*mue; // conductivity in ohm^-1 m^-1
+t = sigma1/sigma; // number of times the conductivity increased
+printf("Conductivity increased %d times .",t);
+//Result obtained differs from that in textbook, because approximate value for sigma1 was considered.
diff --git a/2243/CH11/EX11.14/Res11_14.txt b/2243/CH11/EX11.14/Res11_14.txt
new file mode 100755
index 000000000..d9f746e80
--- /dev/null
+++ b/2243/CH11/EX11.14/Res11_14.txt
@@ -0,0 +1 @@
+ Conductivity increased 26968 times . \ No newline at end of file
diff --git a/2243/CH11/EX11.3/Ex11_3.sce b/2243/CH11/EX11.3/Ex11_3.sce
new file mode 100755
index 000000000..43b309cee
--- /dev/null
+++ b/2243/CH11/EX11.3/Ex11_3.sce
@@ -0,0 +1,6 @@
+clc();
+clear;
+//Given :
+n =8.48*10^28; // number of conduction electrons / m^3
+Ef = 3.65*10^-19*(n^0.6667);//Fermi energy in eV
+printf("Fermi energy : %.2f eV ",Ef);
diff --git a/2243/CH11/EX11.3/Res11_3.txt b/2243/CH11/EX11.3/Res11_3.txt
new file mode 100755
index 000000000..3119dd98f
--- /dev/null
+++ b/2243/CH11/EX11.3/Res11_3.txt
@@ -0,0 +1 @@
+ Fermi energy : 7.06 eV \ No newline at end of file
diff --git a/2243/CH11/EX11.4/Ex11_4.sce b/2243/CH11/EX11.4/Ex11_4.sce
new file mode 100755
index 000000000..5772185b7
--- /dev/null
+++ b/2243/CH11/EX11.4/Ex11_4.sce
@@ -0,0 +1,7 @@
+clc();
+clear;
+//Given :
+Ef = 7.04 ; // Ef for copper in eV
+kT = 0.026; // kT value at room temperature in eV
+F = (3/2)*(0.026/7.04); // Fraction of electrons
+printf("Fraction of electrons which are excited are %.4f or %.2f percentage.",F, F*100);
diff --git a/2243/CH11/EX11.4/Res11_4.txt b/2243/CH11/EX11.4/Res11_4.txt
new file mode 100755
index 000000000..b06d47e55
--- /dev/null
+++ b/2243/CH11/EX11.4/Res11_4.txt
@@ -0,0 +1 @@
+ Fraction of electrons which are excited are 0.0055 or 0.55 percentage. \ No newline at end of file
diff --git a/2243/CH11/EX11.6/Ex11_6.sce b/2243/CH11/EX11.6/Ex11_6.sce
new file mode 100755
index 000000000..c36a9e618
--- /dev/null
+++ b/2243/CH11/EX11.6/Ex11_6.sce
@@ -0,0 +1,16 @@
+clc();
+clear;
+//Given :
+ni1 = 2.5*10^19; // per m^3 for Ge
+ni2 = 1.5*10^16; // per m^3 for Si
+mu_e1 = 0.38; // mobility of free electrons for Ge in m^2/Vs
+mu_h1 = 0.18; //mobility of holes for Ge in m^2/Vs
+mu_e2 = 0.13;//mobility of free electrons for Si in m^2/Vs
+mu_h2 = 0.05;//mobility of holes for Si in m^2/Vs
+e = 1.6*10^-19; // charge of an electron in C
+sigma1 = ni1*e*(mu_e1 + mu_h1); // intrinsic conductivity in mho m^-1 for Ge
+sigma2 = ni2*e*(mu_e2 + mu_h2);// intrinsic conductivity in mho m^-1 for Si
+rho1 = 1/sigma1; //intrinsic resistivity in ohm m for Ge
+rho2 = 1/sigma2;//intrinsic resistivity in ohm m for Si
+printf("Resistivity of Ge %.3f ohm m \n",rho1);
+printf("Resistivity of Si %.3f x 10^3 ohm m",rho2*10^-3);
diff --git a/2243/CH11/EX11.6/Res11_6.txt b/2243/CH11/EX11.6/Res11_6.txt
new file mode 100755
index 000000000..b052d88d7
--- /dev/null
+++ b/2243/CH11/EX11.6/Res11_6.txt
@@ -0,0 +1,2 @@
+ Resistivity of Ge 0.446 ohm m
+Resistivity of Si 2.315 x 10^3 ohm m \ No newline at end of file
diff --git a/2243/CH11/EX11.7/Ex11_7.sce b/2243/CH11/EX11.7/Ex11_7.sce
new file mode 100755
index 000000000..09b804ace
--- /dev/null
+++ b/2243/CH11/EX11.7/Ex11_7.sce
@@ -0,0 +1,16 @@
+clc();
+clear;
+//Given :
+//Fraction F = n/N
+Eg = 0.72; // Energy gap in eV
+k = 0.026/300;// kT value at 300 K , so k = kT/T
+T1 = 30; // Temperature in K
+T2 = 300; //Temperature in K
+T3 = 1210;//Temperature in K
+//Fraction of electrons : n/N = exp(-Eg/2*k*T)
+F1 = exp(-Eg/(2*k*T1));
+F2 = exp(-Eg/(2*k*T2));
+F3 = exp(-Eg/(2*k*T3));
+printf(" For 30 K , n/N = %.1f x 10^-61\n",F1*10^61);
+printf(" For 300 K , n/N = %.1f x 10^-7\n",F2*10^7);
+printf(" For 1210 K , n/N = %.3f \n",F3);
diff --git a/2243/CH11/EX11.7/Res11_7.txt b/2243/CH11/EX11.7/Res11_7.txt
new file mode 100755
index 000000000..465746176
--- /dev/null
+++ b/2243/CH11/EX11.7/Res11_7.txt
@@ -0,0 +1,4 @@
+For 30 K , n/N = 7.4 x 10^-61
+ For 300 K , n/N = 9.7 x 10^-7
+ For 1210 K , n/N = 0.032
+ \ No newline at end of file
diff --git a/2243/CH11/EX11.8/Ex11_8.sce b/2243/CH11/EX11.8/Ex11_8.sce
new file mode 100755
index 000000000..328a3489d
--- /dev/null
+++ b/2243/CH11/EX11.8/Ex11_8.sce
@@ -0,0 +1,13 @@
+clc();
+clear;
+//Given :
+Eg1= 0.72; //Energy gap for Germanium in eV
+Eg2= 1.10; //Energy gap for Silicon in eV
+Eg3= 5.6; //Energy gap for diamond in eV
+//Fraction of electron : n/N = exp(-Eg/(2*k*T)) , k*T = 0.026 eV
+F1 = exp(-Eg1/(2*0.026)); // For Germanium
+F2 = exp(-Eg2/(2*0.026)); // For Silicon
+F3 = exp(-Eg3/(2*0.026)); // For diamond
+printf("For Germanium , n/N = %.1f x 10^-7\n",F1*10^7);
+printf("For Silicon , n/N = %.1f x 10^-10\n",F2*10^10);
+printf("For diamond, n/N = %.1f x 10^-47",F3*10^47);
diff --git a/2243/CH11/EX11.8/Res11_8.txt b/2243/CH11/EX11.8/Res11_8.txt
new file mode 100755
index 000000000..3777124bb
--- /dev/null
+++ b/2243/CH11/EX11.8/Res11_8.txt
@@ -0,0 +1,3 @@
+ For Germanium , n/N = 9.7 x 10^-7
+For Silicon , n/N = 6.5 x 10^-10
+For diamond, n/N = 1.7 x 10^-47 \ No newline at end of file
diff --git a/2243/CH11/EX11.9/Ex11_9.sce b/2243/CH11/EX11.9/Ex11_9.sce
new file mode 100755
index 000000000..90050871a
--- /dev/null
+++ b/2243/CH11/EX11.9/Ex11_9.sce
@@ -0,0 +1,9 @@
+clc();
+clear;
+//Given :
+D = 5*10^28; // density of atoms in silicon per m^3
+C = 2.0*10^8; //donor concentration
+ND = D/C; // donor atoms density per m^3
+// ND = 4.82*10^21*T^(3/2)
+T = (ND/(4.82*10^21))^(2/3);
+printf("Temperature = %.2f K",T);
diff --git a/2243/CH11/EX11.9/Res11_9.txt b/2243/CH11/EX11.9/Res11_9.txt
new file mode 100755
index 000000000..645cc2c47
--- /dev/null
+++ b/2243/CH11/EX11.9/Res11_9.txt
@@ -0,0 +1 @@
+ Temperature = 0.14 K \ No newline at end of file