Changeset 190:1c6f5ac866d7 for source

Timestamp:

Sep 20, 2010, 5:04:02 PM (14 years ago)

Author:

fnevgeny

Branch:

default

Phase:

public

Message:

Fine structure.

Location:

source

Files:

• class/pf/Plasma.js (modified) (1 diff)
• class/pf/base/Bohr.js (modified) (2 diffs)
• entities.js (modified) (1 diff)

source/class/pf/Plasma.js

@@ -20 +20 @@
             
             return pf.base.Bohr.transitionEnergy(Z_core, n_u, n_l);
+        },
+        
+        getFineStructure: function()
+        {
+            var n_u = this.n_u;
+            var n_l = this.n_l;
+            var Z_core = this.r.getQ() + 1;
+            
+            return pf.base.Bohr.transitionFineStructure(Z_core, n_u, n_l);
         },
         

source/class/pf/base/Bohr.js

@@ -3 +3 @@
     statics :
     {
+        alpha : 7.2974e-3,
+        
+        /* in cm^-1 */
+        Rydberg : 1.0974e5,
+        
         bindingEnergy : function(Z_core, n)
         {
-            return -1.0974e5*Z_core*Z_core/(n*n);
+            return -this.Rydberg*Z_core*Z_core/(n*n);
         },
 
@@ -13 +18 @@
                    this.bindingEnergy(Z_core, n_l);
         },
+        
+        fineStructureCorrection : function(Z_core, n, j)
+        {
+            return -this.Rydberg*Math.pow(Z_core, 4)*(this.alpha*this.alpha)/
+                (n*n*n)*(1.0/(j + 0.5) - 3.0/(4*n));
+        },
+        
+        fineStructureSplitting : function(Z_core, n)
+        {
+            return this.fineStructureCorrection(Z_core, n, n - 0.5) -
+                   this.fineStructureCorrection(Z_core, n, 0.5);
+        },
+        
+        transitionFineStructure : function(Z_core, n_u, n_l)
+        {
+            return this.fineStructureSplitting(Z_core, n_u) +
+                   this.fineStructureSplitting(Z_core, n_l);
+        },
 
+        /* Einstein A coefficient of Lyman series (1/sec) */
         LymanA : function(n)
         {

source/entities.js

@@ -133 +133 @@
         section   : "spectroscopy",
         formula   : "this.plasma.getNaturalWidth()"
+    },
+    {
+        id        : "Fine_structure",
+        name      : "Fine structure",
+        dimension : "energy",
+        nspecies  : 0,
+        section   : "spectroscopy",
+        formula   : "this.plasma.getFineStructure()",
+        wikiLink  : "Fine_structure"
     },
     {