Sunday, 3 January 2010

Nuclear Reaction Threshold and Energy Values

Nuclear Reaction Threshold and Energy Values
Calculator
and
Nucleon Separation Energy Graph
Engine

Description


I. Calculator description.


This program give to one the possibility to calculate REACTION THRESHOLD and REACTION ENERGY values for any nuclear reaction:
"Incident Particle" + "Target Nucleus" → "Final Nucleus" + "Outgoing Particles"
The following equations are used in program:
Equation for REACTION ENERGY :  react = ( M1 + M2 - SUM ) * c 2,
Equation for REACTION THRESHOLD :  thr = [ ( SUM + M1 + M2 ) * ( SUM - M1 - M2 ) / ( 2 * M1 ) ] * c 2,
where
variable SUM
is the sum of all "Outgoing Particles" masses;
  variable M1
is the "Target Nucleus" mass,
  variable M2
is the "Incident Particle" mass.

Mass values from  / G.Audi, A.H.Wapstra and C.Thibault. The Ame2003 atomic mass evaluation (II). Nucl.Phys. A729 337-676 (2003)/  are used in calculations.
Heads of columns:
A:  -  Mass number of target nucleus
Z:
 -  Charge number of target nucleus
Number of particles: - Outgoing particles multiplicity

Reaction participants designation:
"Z", "A" and "Number of Particles" (initially equal to 1) identify both "Target Nucleus" and "Outgoing Particles" (1, 2, etc.), for example:
"Target Nucleus"
12–MG–26:


12
26:
"Outgoing Particle 1"
1 outgoing neutron:

0
1
1;
"Outgoing Particle 1"
2 outgoing neutrons:

0
1
2;
"Outgoing Particle 1"
1 outgoing proton:

1
1
1;
"Outgoing Particle 1"
3 outgoing protons:

1
1
3
"Outgoing Particle 1"
1 outgoing alpha-particle:

2
4
1;
"Outgoing Particle 1"
4 outgoing alpha-particles:

2
4
4.
So, for example, the reaction 12-MG-26(G,N+2P)10-NE-24 must be designated as follows:
"Target Nucleus"
12–MG–26:
    12
26:
"Outgoing Particle 1"
1 outgoing neutron:
  0
1
1;
"Outgoing Particle 2"
2 outgoing protons:
  1
1
2.
For more amount of outgoing particles the link  ( if more particles >> )  must be used.
For incident nuclei differ from "Incident Particle" ( heavier than 2-HE-4 ) the link  ( for nucleus >> )  should be used.
Units and formats:
u - unit, 1 unit = 931.49432 MeV/c 2 ;
Format of MASS value: Mass value ± mass error ;
Format of ENERGY value: Energy value ± energy error .


II. Graph Engine description.


Nucleon Separation Energy Graph Engine is universal program for plotting graph of nucleon separation energies.

Search form of this program contains such fields as:
  1) "Z" - nucleus charge (you may choose range of charges; example: 20-40),

  2) "A" - nucleus Atomic mass (you may choose range of Atomic masses; example: 30-60),

  3)  Type and number of nucleon separated (namefield "Reaction") (multiselect field),

  4) radio buttons of number of visible nucleus.

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