Page 182 - The Effect of Hydrogen and Hydrides - ebook first test
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



                  Table 4-8:   Lattice properties of hydrogen in αZr and in hydride; the latter as a function of hydrogen composition
                             corresponding to the ( phase boundary.

                  Part I.    Hydride transformation strains as a function of temperature and composition based on pure lattice strain
                             transformation mechanism.

                                                ̅
                                                                                                         
                        −          T        −            −                 −             ,  −               ,  −                                                         ̅   −    
                                   
                                                                                                          
                                                                                 
                                                                                                
                                                                                       
                                                                           
                                                                  
                                                          
                      
                                            
                   (H/Zr)   (C                             −             −         −       ,  −        −      ,  −      
                                                                                         
                                                                                                  
                          )                                                                 −             −      
                                                                                                   
                                                                                          
                             (Å /atom (Å /atom Zr)   (10                                               (10
                                      3
                              3
                                                                                                           6
                                                    6
                                Zr)            m /mol H                                                m /mol
                                                                                                        3
                                                3
                                                  )                                                      H)
                   1.61   25   23.266   27.245   1.488   0.0446   0.0281  0.0542  0.0329  0.00965   0.00477   1.747
                   1.50   225  23.357   27.575   1.694   0.0494   0.0323  0.0542  0.0329  0.00482   0.00062   1.754
                   1.47   300  23.391   27.699   1.765   0.0510   0.0337  0.0542  0.0329  0.00323   –0.00083   1.757
                   1.42   400  23.437   27.845   1.870   0.0534   0.0358  0.0542  0.0329  0.00080   –0.00294   1.760
                   1.37   454  23.461   27.891   1.948   0.0564   0.0374  0.0542  0.0329  –0.00119  –0.00446   1.762
                   1.33   504  23.484   27.937   2.016   0.0571   0.0387  0.0542  0.0329  –0.00293  –0.00580   1.764
                                                                                             © ANT International 2018
                  Part II.    Hydride transformation strains as a function of temperature and composition based on invariant plane
                             strain transformation mechanism.
                        −          T        −            −            ̅      −             ,  −               ,  −                                                           ̅   −    
                                                                                              
                                                                                    
                                                                         
                                                                                                        
                                                                               
                                    
                                                                 
                                                          
                                             
                      
                   (H/Zr)   (C)                             −             −             ,  −             ,  −      
                                                                                      
                                                                                               
                                                                                 −     −          −    −      
                                                                                                  
                             (Å /atom Zr)  (Å /atom Zr)  (10                                        (10
                              3
                                                                                                      6
                                        3
                                                 6
                                               m /mol H)                                            m /mol H)
                                                                                                     3
                                                 3
                   1.61   25   23.266   27.245   1.488   0.1062   0.0   0.0542  0.0329  –0.0520   0.0329   1.747
                   1.50   225  23.357   27.575   1.694   0.1204   0.0   0.0542  0.0329  –0.0662   0.0329   1.754
                   1.47   300  23.391   27.699   1.765   0.1253   0.0   0.0542  0.0329  –0.0711   0.0329   1.757
                   1.42   400  23.437   27.845   1.870   0.1325   0.0   0.0542  0.0329  –0.0783   0.0329   1.760
                   1.37   454  23.461   27.891   1.948   0.1378   0.0   0.0542  0.0329  –0.0836   0.0329   1.762
                   1.33   504  23.484   27.937   2.016   0.1426   0.0   0.0542  0.0329  –0.0884   0.0329   1.764
                                                                                            © ANT International 2018

                                           
                              Ω   −      =  √3                                     α
                                   
                                      2
                                     Ω   −ℎ      =     4 3                                         −ℎ    
                                         
                  ̅
                          −ℎ                                                            (Ω   −ℎ      − Ω   −     )/
                                                                                               
                                                                                                       
                       −ℎ                                                   −ℎ              −ℎ      
                     
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