First Kind of Chemical Bonding Field

Aiming to identify the chemical bonding fields, then used in bondons mass calculation, one should consider the reference invariant Lagrangian obtained under transformation of Eq. (3.467) with chemical bonding potential of Eq. (3. 466) replaced in Eq. (3. 461) (Putz, 2008d) 

when transformation (3.468) is performed the chemical bonding field is generated by appearance of the emiched Lagrangian respecting that of Eq. (3.473) 

Under the condition the Lagrangian (3. 474) be invariant for the transformation (3.468), i.e., equal with (3.473), the correction Lagrangian (3.475) should be canceled, that is the higher order differential equation is provided (Putz, 2008d) 

Integration of Eq. (3.478) within above mentioned asymptotic ((/ ) - to - bonding ( g) linked regimes can be firstly written under the form (Putz, 2008d)  

Note that the normalization condition is not a compulsory quantum constraint when about creation of particles from quantum vacuum as it is the present case. With these, one may resume that the first kind of chemical bonding fields appeared from spontaneous symmetry-broken invariant reactivity chemical field are jointly characterized by chemical hardness, chemical bond length and the sample temperature throughout the woiking relations (3.481)-(3.483). 

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The results of Table 3.16 display interesting features firstly there is noted that bondons have either larger or smaller mass than of eleetrons, corresponding to localized or delocalized character of bonding however, there seems that the first kind of chemical bonding fields merely carriers... 

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