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diff --git a/1586/CH3/EX3.1/EXP3_1.jpg b/1586/CH3/EX3.1/EXP3_1.jpg
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+clc;funcprot(0);//EXAMPLE 3.1
+// Initialisation of Variables
+Cn=8;......//No. of Corners of the Cubic Crystal Systems
+c=1;......//No. of centers of the Cubic Crystal Systems in BCC unit cell
+F=6;.......//No. of Faces of the Cubic Crystal Systems in FCC unit cell
+//CALCULATIONS
+N1=Cn/8;.....//No. of latice points per unit cell in SC unit cell
+N2=(Cn/8)+c*1;....//No. of latice points per unit cell in BCC unit cells
+N3=(Cn/8)+F*(1/2);....//No. of latice points per unit cell in FCC unit cells
+disp(N1,"No. of latice points per unit cell in SC unit cell:")
+disp(N2,"No. of latice points per unit cell in BCC unit cells:")
+disp(N3,"No. of latice points per unit cell in FCC unit cells:")
diff --git a/1586/CH3/EX3.11/EXP3_11.jpg b/1586/CH3/EX3.11/EXP3_11.jpg
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+clc;funcprot(0);//EXAMPLE 3.11
+// Initialisation of Variables
+E=12;......//No. of Edges in the octahedral sites of the unit cell
+S=1/4;.......//so only 1/4 of each site belongs uniquelyto each unit cell
+N=E*S+1;.....//No.of site belongs uniquely to each unit cell
+disp(N,"No.of octahedral site belongs uniquely to each unit cell:")
diff --git a/1586/CH3/EX3.12/EXP3_12.jpg b/1586/CH3/EX3.12/EXP3_12.jpg
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+clc;funcprot(0);//EXAMPLE 3.12
+// Initialisation of Variables
+r1=0.066;.......//Radius of Mg+2 from Appendix B in nm
+r2=0.132;.......//Radius of O-2 from Appendix B in nm
+Am1=24.312;.......//Atomic masses of Mg+2 in g/mol
+Am2=16;.......//Atomic masses of O-2 in g/mol
+Na=6.02*10^23;......//Avogadro’s number
+//CALCULATIONS
+a0=2*r1+2*r2;...........//Lattice constant for MgO in nm
+rho=((4*Am1)+(4*16))/((a0*10^-8)*Na);.....//Density of MgO in g/cm^3
+disp(a0*10^-8,"Lattice constant for MgO in cm:")
+disp(rho,"Density of MgO in g/cm^3:")
diff --git a/1586/CH3/EX3.13/EXP3_13.jpg b/1586/CH3/EX3.13/EXP3_13.jpg
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+clc;funcprot(0);//EXAMPLE 3.13
+// Initialisation of Variables
+r=1;............//Radius of each atom in units
+n=8;.........//No. of atoms present in Diamond cubic Silicon per cell
+//CALCULATIONS
+v=(4/3)*%pi*r^3;..........// Volume of each atom in Diamond cubic Silicon
+a0=(8*r)/sqrt(3);..........//Volume of unit cell in Diamond cubic Silicon
+Pf=(n*v)/a0^3;............//Packing factor of Diamond cubic Silicon
+disp(Pf,"Packing factor of Diamond cubic Silicon:")
diff --git a/1586/CH3/EX3.14/EXP3_14.jpg b/1586/CH3/EX3.14/EXP3_14.jpg
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+clc;funcprot(0);//EXAMPLE 3.14
+// Initialisation of Variables
+wL=1.54;........//Wave length of Copper K-alpha in Angstorms
+t1=19.5;......//Half the angle between the difracted beam and the original beam direction
+t2=39;......// The angle between the difracted beam and the original beam direction
+//CALCULATIONS
+D1=wL/(sin(t1*%pi/180));......//Interplanar spacing between the planes in Angstroms
+D2=wL/(sin(t2*%pi/180));......//Interplanar spacing between the planes in Angstroms
+a0=D2*(sqrt(3));.......//Lattice constant for cubic form of BaTiO3
+disp(D1,"Interplanar spacing between the planes in Angstroms:")
+disp(a0,"Lattice constant for cubic form of BaTiO3:")
+
diff --git a/1586/CH3/EX3.3/EXP3_3.jpg b/1586/CH3/EX3.3/EXP3_3.jpg
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+clc;funcprot(0);//EXAMPLE 3.14
+// Initialisation of Variables
+r=1;.........// one unit of radius of each atom of FCC cell
+a0=(4*r)/sqrt(2);..........//Lattice constant for FCC cell
+v=(4*%pi*r^3)/3;.........//volume of one atom in FCC cell
+Pf=(4*v)/(a0)^3;........//Packing factor in FCC cell
+disp(Pf,"Packing factor in FCC cell")
diff --git a/1586/CH3/EX3.4/EXP3_4.jpg b/1586/CH3/EX3.4/EXP3_4.jpg
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+clc;funcprot(0);//EXAMPLE 3.4
+// Initialisation of Variables
+a0=2.866*10^-8;..........//Lattice constant for BCC iron cells in cm
+m=55.847;..........//Atomic mass of iron in g/mol
+Na=6.02*10^23;......//Avogadro’s number in atoms/mol
+n=2;.........//number of atoms per cell in BCC iron
+//CALCULATIONS
+v=a0^3;........//Volume of unit cell for BCC iron in cm^3/cell
+rho=(n*m)/(v*Na);.......//Density of BCC iron
+disp(v,"Volume of unit cell for BCC iron in cm^3/cell:")
+disp(rho,"Density of BCC iron in g/cm^3:")
diff --git a/1586/CH3/EX3.5/EXP3_5.jpg b/1586/CH3/EX3.5/EXP3_5.jpg
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+clc;funcprot(0);//EXAMPLE 3.5
+// Initialisation of Variables
+a=5.156;........//The lattice constants for the monoclinic unit cells in Angstroms
+b=5.191;........//The lattice constants for the monoclinic unit cells in Angstroms
+c=5.304;........//The lattice constants for the monoclinic unit cells in Angstroms
+beeta=98.9;.......//The angle fro the monoclinic unit cell
+a2=5.094;........//The lattice constants for the tetragonal unit cells in Angstroms
+c2=5.304;........//The lattice constants for the tetragonal unit cells in Angstroms
+//CALCULATIONS
+v2=(a2^2)*c2;........//volume of a tetragonal unit cell
+v1=a*b*c*sin(beeta*%pi/180);........//volume of a monoclinic unit cell
+Pv=(v1-v2)/(v1)*100;........//The percent change in volume in percent
+disp(v2,"volume of a tetragonal unit cell:")
+disp(v1,"volume of a monoclinic unit cell:")
+disp(Pv,"The percent change in volume in percent:")
diff --git a/1586/CH3/EX3.8/EXP3_8.jpg b/1586/CH3/EX3.8/EXP3_8.jpg
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+clc;funcprot(0);//EXAMPLE 3.8
+// Initialisation of Variables
+r=1;.......//Radius of each atom in units
+l=0.334;.......//Lattice parameter of (010) in nm
+//CALCULATIONS
+a1=2*r;........//Area of face for (010)
+a2=l^2;...........//Area of face of (010) in cm^2
+pd=1/a2;........//Planar density of (010) in atoms/nm^2
+pf=%pi*r^2/(a1)^2;......//Packing fraction of (010)
+disp(pd*10^14,"Planar density of (010) in atoms/cm^2:")
+disp(pf,"Packing fraction of (010):")