diff options
Diffstat (limited to '3411/CH5/EX5.13.u1/Ex5_13_u1.sce')
-rw-r--r-- | 3411/CH5/EX5.13.u1/Ex5_13_u1.sce | 96 |
1 files changed, 68 insertions, 28 deletions
diff --git a/3411/CH5/EX5.13.u1/Ex5_13_u1.sce b/3411/CH5/EX5.13.u1/Ex5_13_u1.sce index a3dc6d537..c94889846 100644 --- a/3411/CH5/EX5.13.u1/Ex5_13_u1.sce +++ b/3411/CH5/EX5.13.u1/Ex5_13_u1.sce @@ -2,34 +2,74 @@ clc();
clear;
//To determine the crystal structure and indices of plane and lattice parameter of the material
-theta1=20.7
-peak1=sin((theta1/2)*%pi/180)^2/0.0308
-printf("Indices of the plane corresponding to peak 1 is %d\n",peak1)
-theta2=28.72
-peak2=sin((theta2/2)*%pi/180)^2/0.0308
-printf("Indices of the plane corresponding to peak 2 is %.1f\n",peak2)
-theta3=35.36
-peak3=sin((theta3/2)*%pi/180)^2/0.0308
-printf("Indices of the plane corresponding to peak 3 is %.1f\n",peak3)
-theta4=41.07
-peak4=sin((theta4/2)*%pi/180)^2/0.0308
-printf("Indices of the plane corresponding to peak 4 is %.1f\n",peak4)
-theta5=46.19
-peak5=sin((theta5/2)*%pi/180)^2/0.0308
-printf("Indices of the plane corresponding to peak 5 is %.1f\n",peak5)
-theta6=50.9
-peak6=sin((theta6/2)*%pi/180)^2/0.0308
-printf("Indices of the plane corresponding to peak 6 is %.1f\n",peak6)
-theta7=55.28
-peak7=sin((theta7/2)*%pi/180)^2/0.0308
-printf("Indices of the plane corresponding to peak 7 is %.1f\n",peak7)
-theta8=59.42
-peak8=sin((theta8/2)*%pi/180)^2/0.0308
-printf("Indices of the plane corresponding to peak 8 is %.1f\n",peak8)
+theta21=20.7 //units in degrees
+theta22=28.72 //units in degrees
+theta23=35.36 //units in degrees
+theta24=41.07 //units in degrees
+theta25=46.19 //units in degrees
+theta26=50.90 //units in degrees
+theta28=55.28 //units in degrees
+theta29=59.4 //units in degrees
+
+theta1=theta21/2 //units in degrees
+theta2=theta22/2 //units in degrees
+theta3=theta23/2 //units in degrees
+theta4=theta24/2 //units in degrees
+theta5=theta25/2 //units in degrees
+theta6=theta26/2 //units in degrees
+theta8=theta28/2 //units in degrees
+theta9=theta29/2 //units in degrees
+//sin^2(theta) values
+sin1=(sin(theta1*%pi/180))^2
+sin2=(sin(theta2*%pi/180))^2
+sin3=(sin(theta3*%pi/180))^2
+sin4=(sin(theta4*%pi/180))^2
+sin5=(sin(theta5*%pi/180))^2
+sin6=(sin(theta6*%pi/180))^2
+sin8=(sin(theta8*%pi/180))^2
+sin9=(sin(theta9*%pi/180))^2
+//sin^2(theta)/0.0308 values
+temp1=sin1/sin1
+temp2=sin2/sin1
+temp3=sin3/sin1
+temp4=sin4/sin1
+temp5=sin5/sin1
+temp6=sin6/sin1
+temp8=sin8/sin1
+temp9=sin9/sin1
+
+h2k2l21=temp1*2
+
+h2k2l22=temp2*2
+h2k2l23=temp3*2
+h2k2l24=temp4*2
+h2k2l25=temp5*2
+h2k2l26=temp6*2
+h2k2l28=temp8*2
+h2k2l29=temp9*2
+//(h,k,l) values are determined such that the sum h^2+k^2+l^2=temp value in that manner hence we have to select the (h,k,l) values
+//(h,k,l) values
+hkl1=110 //As h^2+k^2+l^2=2
+hkl2=200 //As h^2+k^2+l^2=4
+hkl3=211 //As h^2+k^2+l^2=6
+hkl4=220 //As h^2+k^2+l^2=8
+hkl5=310 //As h^2+k^2+l^2=10
+hkl6=232 //As h^2+k^2+l^2=12
+hkl8=321 //As h^2+k^2+l^2=14
+hkl9=400 //As h^2+k^2+l^2=16
+
+printf("unit cell Dimensions for peak 1 when 2*theta=%.1f is (%d) where sin^2(theta)/0.0308 is %.2f\n",theta21,hkl1,ceil(h2k2l21) )
+printf("unit cell Dimensions for peak 2 when 2*theta=%.1f is (%d) where sin^2(theta)/0.0308 is %.2f\n",theta22,hkl2,ceil(h2k2l22) )
+printf("unit cell Dimensions for peak 3 when 2*theta=%.1f is (%d) where sin^2(theta)/0.0308 is%.2f\n",theta23,hkl3,ceil(h2k2l23))
+printf("unit cell Dimensions for peak 4 when 2*theta=%.1f is (%d) where sin^2(theta)/0.0308 is %.2f\n",theta24,hkl4,ceil(h2k2l24))
+printf("unit cell Dimensions for peak 5 when 2*theta=%.1f is (%d) where sin^2(theta)/0.0308 is%.2f\n",theta25,hkl5,ceil(h2k2l25))
+printf("unit cell Dimensions for peak 6 when 2*theta=%.1f is (%d) where sin^2(theta)/0.0308 is%.2f\n",theta26,hkl6,ceil(h2k2l26))
+printf("unit cell Dimensions for peak 7 when 2*theta=%.1f is (%d) where sin^2(theta)/0.0308 is %.2f\n",theta28,hkl8,ceil(h2k2l28))
+printf("unit cell Dimensions for peak 8 when 2*theta=%.1f is (%d) where sin^2(theta)/0.0308 is %.2f\n",theta29,hkl9,ceil(h2k2l29))
+
printf("The material corresonds to bcc structure\n")
+//Consider peak no 8 where theta=29.71
lamda=0.07107 //units in nm
-theta=29.71 //units in degrees
-d400=lamda/(2*sin(theta*(%pi/180))) //units in nm
-hkl=16
-a=d400*sqrt(hkl) //units in nm
+d400=lamda/(2*sin(theta9*(%pi/180))) //units in nm
+a=d400*sqrt(ceil(h2k2l29)) //units in nm
printf("Lattice parameter of the material a=%.4fnm",a)
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