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author | priyanka | 2015-06-24 15:03:17 +0530 |
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committer | priyanka | 2015-06-24 15:03:17 +0530 |
commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
tree | ab291cffc65280e58ac82470ba63fbcca7805165 /1970/CH5 | |
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initial commit / add all books
Diffstat (limited to '1970/CH5')
-rwxr-xr-x | 1970/CH5/EX5.1/Ch05Exa1.sce | 16 | ||||
-rwxr-xr-x | 1970/CH5/EX5.10/Ch05Exa10.sce | 14 | ||||
-rwxr-xr-x | 1970/CH5/EX5.2/Ch05Exa2.sce | 18 | ||||
-rwxr-xr-x | 1970/CH5/EX5.3/Ch05Exa3.sce | 14 | ||||
-rwxr-xr-x | 1970/CH5/EX5.4/Ch05Exa4.sce | 12 | ||||
-rwxr-xr-x | 1970/CH5/EX5.6/Ch05Exa6.sce | 12 | ||||
-rwxr-xr-x | 1970/CH5/EX5.8/Ch05Exa8.sce | 11 | ||||
-rwxr-xr-x | 1970/CH5/EX5.9/Ch05Exa9.sce | 13 |
8 files changed, 110 insertions, 0 deletions
diff --git a/1970/CH5/EX5.1/Ch05Exa1.sce b/1970/CH5/EX5.1/Ch05Exa1.sce new file mode 100755 index 000000000..3be2fadc6 --- /dev/null +++ b/1970/CH5/EX5.1/Ch05Exa1.sce @@ -0,0 +1,16 @@ +// Scilab code Exa5.1 : : Page 203 (2011)
+clc; clear;
+E_a = 8.766; // Energy of the alpha particle, MeV
+A = 212; // Atomic mass of Po-212, amu
+M_a = 4; // Atomic mass of alpha particle, amu
+e = 1.6e-019; // Charge of an electron, coulomb
+Z = 82; // Atomic number of Po-212
+R_0 = 1.4e-015; // Distance of closest approach,metre
+K = 8.99e+09; // Coulomb constant
+E = E_a*A/(A-M_a); // Disintegration energy, mega electron volts
+B_H = 2*Z*e^2*K/(R_0*A^(1/3)*1.6*10^-13); // Barrier height for an alpha particle within the nucleus, MeV
+printf("\nDisintegration energy : %5.3f MeV \nBarrier height for alpha-particle: %5.2f MeV", E,B_H);
+
+// Result
+// Disintegration energy : 8.935 MeV
+// Barrier height for alpha-particle: 28.26 MeV
\ No newline at end of file diff --git a/1970/CH5/EX5.10/Ch05Exa10.sce b/1970/CH5/EX5.10/Ch05Exa10.sce new file mode 100755 index 000000000..2238f4624 --- /dev/null +++ b/1970/CH5/EX5.10/Ch05Exa10.sce @@ -0,0 +1,14 @@ +// Scilab code Exa5.10 : : Page 206 (2011)
+clc; clear;
+h_kt = 1.05457e-34; // Reduced Planck's constant, joule sec
+e = 1.60218e-19; // Charge of an electron, coulomb
+l = 2; // Orbital angular momentum
+eps_0 = 8.5542e-12; // Absolute permittivity of free space, coulomb square per newton per metre square
+Z_D = 90; // Atomic number of daughter nucleus
+m = 6.644e-27; // Mass of alpha particle, Kg
+R = 8.627e-15; // Radius of daughter nucleus, metre
+T1_by_T0 = exp(2*l*(l+1)*h_kt/e*sqrt(%pi*eps_0/(Z_D*m*R))); // Hindrance factor
+printf("\nThe hindrance factor for alpha particle = %5.3f" ,T1_by_T0);
+
+// Result
+// The hindrance factor for alpha particle = 1.768
\ No newline at end of file diff --git a/1970/CH5/EX5.2/Ch05Exa2.sce b/1970/CH5/EX5.2/Ch05Exa2.sce new file mode 100755 index 000000000..ab17c351e --- /dev/null +++ b/1970/CH5/EX5.2/Ch05Exa2.sce @@ -0,0 +1,18 @@ +// Scilab code Exa5.2 : : Page 203 (2011)
+// We have to make calculation for alpha particle and for proton
+clc; clear;
+E_a = 8.766; // Energy of the alpha particle, mega electron volts
+A_Bi = 209; // Atomic mass of Bi-209, atomic mass unit
+A_a = 4; // Atomic mass of alpha particle, atomic mass unit
+A_p = 1; // Atomic mass of proton, atomic mass unit
+e = 1.6e-019; // Charge of an electron, coulomb
+Z = 83; // Atomic number of bismuth
+R_0 = 1.4e-015; // Distance of closest approach,metre
+K = 8.99e+09; // Coulomb constant
+B_H_a = 2*Z*e^2*K/(R_0*1.6e-013*(A_Bi^(1/3)+A_a^(1/3))); // Barrier height for an alpha particle, mega electron volts
+B_H_p = 1*Z*e^2*K/(R_0*1.6e-013*(A_Bi^(1/3)+A_p^(1/3))); // Barrier height for proton, mega electron volts
+printf("\nBarrier height for the alpha particle = %5.2f MeV \nBarrier height for the proton = %5.2f MeV", B_H_a,B_H_p);
+
+// Result
+// Barrier height for the alpha particle = 22.67 MeV
+// Barrier height for the proton = 12.30 MeV
\ No newline at end of file diff --git a/1970/CH5/EX5.3/Ch05Exa3.sce b/1970/CH5/EX5.3/Ch05Exa3.sce new file mode 100755 index 000000000..f5c1d36cc --- /dev/null +++ b/1970/CH5/EX5.3/Ch05Exa3.sce @@ -0,0 +1,14 @@ +// Scilab code Exa5.3 : : Page 203 (2011)
+// We have also calculate the value of magnetic field in a particular orbit.
+clc; clear;
+C = 3e+08; // Velocity of light, m/S
+M_0 = 6.644e-027*(C)^2/(1.60218e-013); // Rest mass of alpha particle, MeV
+T = 5.998; // Kinetic energy of alpha particle emitted by Po-218
+q = 2*1.60218e-019; // Charge of alpha particle, C
+V = sqrt(C^2*T*(T+2*M_0)/(T+M_0)^2); // Velocity of alpha particle,metre per sec
+B_r = V*M_0*(1.60218e-013)/(C^2*q*sqrt(1-V^2/C^2)); // magnetic field in a particular orbit, Web per mtere
+printf("\nThe velocity of alpha particle : %5.3e m/s\nThe magnetic field in a particular orbit : %6.4f Wb/m", V , B_r);
+
+// Result
+// The velocity of alpha particle : 1.699e+007 m/s
+// The magnetic field in a particular orbit : 0.3528 Wb/m
\ No newline at end of file diff --git a/1970/CH5/EX5.4/Ch05Exa4.sce b/1970/CH5/EX5.4/Ch05Exa4.sce new file mode 100755 index 000000000..da53b07b4 --- /dev/null +++ b/1970/CH5/EX5.4/Ch05Exa4.sce @@ -0,0 +1,12 @@ +// Scilab code Exa5.4: : Page 204 (2011)
+clc; clear;
+a = 10^-14; // Width of the potential barrier, m
+E = 5*1.60218e-013; // Energy of the alpha particle, joule
+V = 10*1.60218e-013; // Potential height, joule
+M_0 = 6.644e-027; // Rest mass of the alpha particle, joule
+h_red = 1.05457e-034; // Reduced value of Planck's constant,joule sec
+T = 4*exp(-2*a*sqrt(2*M_0*(V-E)/h_red^2)); // Probability of leakage through through potential barrier
+printf("\nThe probability of leakage of alpha-particle through potential barrier = %5.3e ",T);
+
+// Result
+// The probability of leakage of alpha-particle through potential barrier = 1.271e-008
\ No newline at end of file diff --git a/1970/CH5/EX5.6/Ch05Exa6.sce b/1970/CH5/EX5.6/Ch05Exa6.sce new file mode 100755 index 000000000..75fc456b4 --- /dev/null +++ b/1970/CH5/EX5.6/Ch05Exa6.sce @@ -0,0 +1,12 @@ +// Scilab code Exa5.6: : Page 204 (2011)
+clc; clear;
+Z_D = 82; // Atomic number of Po
+E_Po210 = 5.3; // Alpha-source for Po210, MeV
+E_Po214 = 7.7; // Alpha-source for Po214, MeV
+log_lambda_Po210 = -1*1.72*Z_D*E_Po210^(-1/2);
+log_lambda_Po214 = -1*1.72*Z_D*E_Po214^(-1/2);
+delta_OM_t = log_lambda_Po214 - log_lambda_Po210; // Difference in order of magnitude of life times of Po214 and Po210
+printf("\nThe disintegration constant increases by a factor of some 10^%2d", delta_OM_t);
+
+// Result
+// The disintegration constant increases by a factor of some 10^10
\ No newline at end of file diff --git a/1970/CH5/EX5.8/Ch05Exa8.sce b/1970/CH5/EX5.8/Ch05Exa8.sce new file mode 100755 index 000000000..7ccf0e867 --- /dev/null +++ b/1970/CH5/EX5.8/Ch05Exa8.sce @@ -0,0 +1,11 @@ +// Scilab code Exa5.8: : Page 205 (2011)
+clc; clear;
+N = 120.1*6.023e+023/239; // Number of Pu nuclei
+P_rel = 0.231; // Power released, watt
+E_rel = 5.323*1.6026e-13; // Energy released, joule
+decay_rate = P_rel/E_rel; // Decay rate of Pu239, per hour
+t_half = N*log(2)/(decay_rate*365*86400); // Half life of Po239, sec
+printf("\nThe half life of Pu = %4.2e yr", t_half);
+
+// Result
+// The half life of Pu = 2.46e+004 yr
\ No newline at end of file diff --git a/1970/CH5/EX5.9/Ch05Exa9.sce b/1970/CH5/EX5.9/Ch05Exa9.sce new file mode 100755 index 000000000..f640baa38 --- /dev/null +++ b/1970/CH5/EX5.9/Ch05Exa9.sce @@ -0,0 +1,13 @@ +// Scilab code Exa5.9 : : Page 205(2011)
+clc; clear;
+a_v = 14; // Volume energy constant, MeV
+a_s = 13; // Surface energy constant, MeV
+a_c = 0.60; // Coulomb energy constant, MeV
+a_a = 19; // Asymmetric energy constant, MeV
+A = 202; // Mass number
+Z = 82; // Atomic number
+dE_by_dN = -8/9*a_s/A^(4/3)-4/3*a_c*Z/A^(4/3)*(1-4*Z/(3*A))-16*a_a*Z/A^2*(1-2*Z/A); // Slope, mega electron volts per nucleon
+printf("\nThe slope of alpha decay energy versus atomic number = %7.5f MeV/nucleon", dE_by_dN);
+
+// Result
+// The slope of alpha decay energy versus atomic number = -0.15007 MeV/nucleon
\ No newline at end of file |