Post on 28-Mar-2016
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KUVEMPU UNIVERSITY
As per syllabus of MTech. In Nano Science
and Technology
P u b l i s h e d i n 2 0 1 1
MANUAL FOR MATLAB
Fully covered topics of MATLAB with the latest R2011a
series of Student Version compatibility that meets the
needs of 1st Year Master’s Degree of Nano Science and
Technology.
SRIKANTH H P
MANUAL FOR NANO SCIENTISTS
1
Contents
PREFACE: ................................................................................................................................................. 2
1. Write a program to perform addition of n numbers Output .......................................................... 3
2. Write a program to demonstrate multiple plots in a single graph. ................................................ 4
3 . Write a program to demonstrate subplots . .................................................................................. 5
4. Write a program to demonstrate the 7th order approximation equation. .................................... 6
5. Write a program to plot bar chart for world population readings. ................................................ 7
6. Write a program to plot pie chart for world population readings. ................................................. 8
7. Write a program to demonstrate relational operators using switch Output………………………………9
8. Write a program to find if the number is even or odd Output ..................................................... 10
9. Write a program to plot ideal gas response. ................................................................................ 11
10. Write a program to demonstrate carbon dating Output .............................................................. 12
11. Write a program to demonstrate the maximum power transfer theorem. ................................. 13
12. Write a program to swap two numbers Output ........................................................................... 14
13. Write a program to plot the energy Eigen values of a one dimensional box Output ................... 16
14. Write a program to determine the resistance of resistors in series Output ................................ 17
15. Write a program to find the sum of squares of two numbers Output ......................................... 18
16. Write a program to find the area of triangle Output .................................................................... 19
17. Write a program to determine the area of a circle Output .......................................................... 20
2
PREFACE:
In the preamble to nanotechnology, we come across a wide description of simulation
techniques, sans which there lie a world of experimental chemists and theoretical
physics. I had a stress on tough proactive practicals using MATLAB but there was a
lacuna I felt that needed less emphasis since there is no actual outcome of quantum
mechanical description of nanoparticals. So in order to extrapolate the subject, we
were being taught chemistry and physics of matter. Hence there was a space for me
to put this materials to show the various computation techniques for an
interdisciplinary user and at the same time incorporate some basics of chemistry and
physics in problem solving which I presume the student undertaking nanotechnology
or material science also has similar background of subjects like maths, physics and
chemistry.
- Srikanth H P
3
1. Write a program to perform addition of n numbers.
n=input('How many numbers do you want to add? '); a=0; for i=1:n fprintf('enter the %i value ',i); a(i)=input(''); end total=sum(a); disp('The sum of numbers is') disp(total);
Output How many numbers do you want to add? 4
enter the 1 value 4
enter the 2 value 5
enter the 3 value 6
enter the 4 value 7
The sum of numbers is
22
4
2. Write a program to demonstrate multiple plots in a single graph.
x=-pi:pi/20:pi; y1=sin(x); y2=cos(x); plot(x,y1,'*'); hold on; plot(x,y2,'r--'); hold on; legend('sin x','cos x');
-4 -3 -2 -1 0 1 2 3 4-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
sin x
cos x
5
3 . Write a program to demonstrate subplots .
figure(1) subplot(2,1,1) x=-pi:pi/20:pi; y=sin(x); plot(x,y) title('subplot 1 title'); subplot(2,1,2) x=-pi:pi/20:pi; y=cos(x); plot(x,y); title('subplot 2 title')
-4 -3 -2 -1 0 1 2 3 4-1
-0.5
0
0.5
1subplot 1 title
-4 -3 -2 -1 0 1 2 3 4-1
-0.5
0
0.5
1subplot 2 title
6
4. Write a program to demonstrate the 7th order approximation
equation. ( ) ( ) ( )
( )
t=linspace(0,2*pi,100); y1=sin(t); y2=t; y3=t-(t.^3)/6+(t.^5)/120-(t.^7)/5040; plot(t,y1) line(t,y2,'linestyle','--') line(t,y3,'marker','o') axis([0 5 -1 5]) xlabel('t') ylabel('sin(t) approximation') title('sin(t) function') legend('sin(t)','line approx','7th order approx')
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-1
0
1
2
3
4
5
t
sin
(t)
appro
xim
ation
sin(t) function
sin(t)
line approx
7th order approx
7
5. Write a program to plot bar chart for world population readings.
cont=char('China','India','UnitedStates','Indonesia','Brazil','Bangladesh',
'Nigeria','Russia','Japan'); pop=[133;116;30;24;19;17;15;14;14;12]; bar(pop); xlabel('Major countries'); ylabel('population in crores'); title('world popuation in 2011');
for i=1:5:gtext(cont(i)) end
1 2 3 4 5 6 7 8 9 100
20
40
60
80
100
120
140
Major countries
popula
tion in c
rore
s
world popuation in 2011
8
6. Write a program to plot pie chart for world population readings.
cont=char('China','India','UnitedStates','Indonesia','Brazil','Bangladesh',
'Nigeria','Russia','Japan'); pop=[133;116;30;24;19;17;15;14;14;12]; pie(pop); title('world population in 2011'); for i=1:5:gtext(cont(i)); end
34%
29%
8%
6%
5%
4%
4%
4%
4%3%
world population in 2011
9
7. Write a program to demonstrate relational operators using
switch.
a=input('Enter the first number --->a='); b=input('Enter the second number--->b='); x=input('Enter the choice in between 1 to 3 so as to find equal, greater
and lesser--->'); switch x case 1 if a==b disp('the numbers are equal'); else disp('the numbers are not equal'); end case 2 if a>b disp('the number a is greater than b'); else disp('the number b is greater than a'); end case 3 if a<b disp('the number a is less than b'); else disp('the number b is less than a'); end otherwise disp('please choose values between 1 and 3') end
Output Enter the first number --->2
Enter the second number--->4
Enter the choice in between 1 to 3 so as to find equal,greater and lesser--->2
the number b is greater than a
Enter the first number --->a=2
Enter the second number--->b=4
Enter the choice in between 1 to 3 so as to find equal,greater ans lesser--->3
the number a is less then b
>>
10
8. Write a program to find if the number is even or odd.
a=input('Enter the number to know if even-->a='); c=2; b=rem(a,c); if b==0 disp('The number a is even'); else disp('The number a is odd'); end
Output Enter the number to know if even-->a=22
The number a is even
11
9. Write a program to plot ideal gas response.
n=1; r=8.314; t=273; p=1:0.1:1000; v=(n*r*t)./p; figure(1); loglog(p,v,'r-','linewidth',2); title('\bf volume vs pressure in ideal gas'); xlabel('\bf pressure(kpa)'); ylabel('\bf volume (m^3)'); hold on; grid on; t=373; v=(n*r*t)./p; figure(1); loglog(p,v,'b-','linewidth',2); hold on; t=473; v=(n*r*t)./p; figure(1); loglog(p,v,'g-','linewidth',2); hold off;
100
101
102
103
100
101
102
103
104
volume vs pressure in ideal gas
pressure(kpa)
vo
lum
e (
m3)
12
10. Write a program to demonstrate carbon dating.
lamda=0.00012097; percent=input('Enter the percentage of carbon 14 remaining:\n'); ratio=percent/100; age=(-1.0/lamda)*log(ratio); string=['The age of sample is ',num2str(age),' years ']; disp(string);
Output Enter the percentage of carbon 14 remaining:
78
The age of sample is 2053.9089 years
13
11. Write a program to demonstrate the maximum power
transfer theorem.
volts=120; rs=50; r1=1:1:100; amps=volts./(rs+r1); p1=(amps.^2).*r1; plot(r1,p1); title('Plot of power vs load resistance'); xlabel('Load resistance(ohms)'); ylabel('Power(watts)'); grid on;
0 10 20 30 40 50 60 70 80 90 1000
10
20
30
40
50
60
70
80plot of power vs load resistance
load resistance(ohms)
pow
er(
watt
s)
14
12. Write a program to swap two numbers.
a=input('enter the a value'); b=input('enter the b value'); a=a+b; b=a-b; a=a-b; fprintf('after the swapping the value of a is %i\n',a); fprintf('after the swapping the value of b is %i\n',b);
Output enter the a value 12
enter the b value 23
after the swapping the value of a is 23
after the swapping the value of b is 12
15
13. Write a program to plot the energy Eigen values of a one
dimensional box.
L=10e-9; d=200; x=0:L/d:L; m=9.1e-31; num_sol=4; h=6.624e-34; for j=1:num_sol e(j)=((j*j))*((h*h)/(8*m*L*L)); fprintf(' The energy of energy level n=%i value is ',j); fprintf('%i joules \n',e(j)); end;
figure(1);
subplot(4,1,1); w4=((2/L)^.5)*(sin((4*pi*x)/L)); plot(x,w4); xlabel(' 0 < n < L'); ylabel('Asin(\Theta4)'); title('Plot of Asin(\Theta4) for n=4');
subplot(4,1,2); w3=((2/L)^.5)*(cos((3*pi*x)/L)); plot(x,w3); xlabel(' 0 < n < L'); ylabel('Acos(\Theta3)'); title('Plot of Acos(\Theta3) for n=3');
subplot(4,1,3); w2=((2/L)^.5)*(sin((2*pi*x)/L)); plot(x,w2); xlabel(' 0 < n < L'); ylabel('Asin(\Theta2)'); title('Plot of Asin(\Theta2) for n=2');
subplot(4,1,4); w1=((2/L)^.5)*(cos((pi*x)/L)); plot(x,w1); xlabel(' 0 < n < L '); ylabel('Acos(\Theta1)'); title('Plot of Acos(\Theta1) for n=1');
16
Output The energy of energy level n=1 value is 6.027112e-022 joules
The energy of energy level n=2 value is 2.410845e-021 joules
The energy of energy level n=3 value is 5.424401e-021 joules
The energy of energy level n=4 value is 9.643379e-021 joules
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
x 10-8
-2
0
2x 10
4
0 < n < L
Asin
( 4)
Plot of Asin(4) for n=4
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
x 10-8
-2
0
2x 10
4
0 < n < L
Acos(
3)
Plot of Acos(3) for n=3
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
x 10-8
-2
0
2x 10
4
0 < n < L
Asin
( 2)
Plot of Asin(2) for n=2
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
x 10-8
-2
0
2x 10
4
0 < n < L
Acos(
1)
Plot of Acos(1) for n=1
17
14. Write a program to determine the resistance of resistors in
series.
vs=input('Enter the source voltage V='); rn=input('Enter the voltage of resistors as elements in a row vector '); req=sum(rn); vn=rn*vs/req; i=vs/req;
pn=vn*i; ptotal=vs*i; table=[rn',vn',pn']; disp('Resistance Voltage Power'); disp('(ohms) (volts) (watts)'); disp(table); fprintf('The current in the circuit is %f amp ',i); fprintf('\n The total power dissipated in the circuit is %f
watts\n',ptotal);
Output Enter the source voltage V= 230
Enter the voltage of resistors as elements in a row vector [12 23 45 56]
Resistance Voltage Power
(ohms) (volts) (watts)
12.0000 20.2941 34.3209
23.0000 38.8971 65.7818
45.0000 76.1029 128.7035
56.0000 94.7059 160.1644
The current in the circuit is 1.691176 amp
The total power dissipated in the circuit is 388.970588 watts
18
15. Write a program to find the sum of squares of two
numbers .
a=input('Enter the value of a'); b=input('Enter the value of b'); %sum is c=a^2+b^2;
fprintf('The sum of squares is %i\n',c);
Output Enter the value of a 23
Enter the value of b 34
The sum of squares is 1685
19
16. Write a program to find the area of triangle.
h=input('Enter the value of height h='); b=input('Enter the value of base b='); %area of triangle is area=b*h/2; fprintf('The area of the triangle with base b and height h is %i\n ',area);
Output Enter the value of height h= 34
Enter the value of base b= 34
The area of the triangle with base b and height h is 578
20
17. Write a program to determine the area of a circle.
r=input('Enter the value of radius of the circle--->r='); area=pi*r*r; string=['The area of the circle with radius r is area=',num2str(area),'
Square units ']; disp(string);
Output Enter the value of radius of the circle--->r=76
The area of the circle with radius r is area=18145.8392 Square units
21
About the Author:
Srikanth H P is holding an MTech. in Nanotechnology from Kuvempu
University and a B.E in Electronics and Communication Engineering from
Vemana Institute of Technology ( Affiliated to VTU). He had previously
worked with Dr. Preeta Sharan to publish a lab manual on Analog and Digital
Communication lab. He currently has one national and one international conference papers. He also
has a PG Diploma in Performing arts from Kuvempu University and a number of training certificates
for various courses of industrial importance. He is a member of IEEE (and UFFC) as a student
member and life member of Indian Physical Society, Indian Physics Association, Institution of
Engineers and Indian Society for technical Education.