Chemistry Reference
In-Depth Information
However, even for the ground state, and more so for the excited states, one may
see that when forming the practical ratio respecting the unitary electric charge from
(12.12), it actually approaches a referential value, namely
e
B
e
=
4
π
=
ς
e
=
4
π
(12.13)
(
E
bond
[
kcal/mol
])
2
X
bond
[
A
]
2
0
1
+
10
6
(2
πn
1)
4
3
.
27817
×
+
for, in principle, any common energy and length of chemical bonding. On the other
side, for the bondons to have different masses and velocities (kinetic energy) as
associated with specific bonding energy but an invariant (universal) charge seems a
bit paradoxical. Moreover, it appears that with Eq. (12.13) the predicted charge of a
bonding, even in small molecules such as H
2
, considerably surpasses the available
charge in the system, although this may be eventually explained by the continuous
matter-antimatter balance in the Dirac Sea to which the present approach belongs.
However, to circumvent such problems, one may further use the result (12.13) and
map it into the Poisson type charge field Equation
e
B
=
2
V
=
×
↔∇
×
4
π
e
4
π
ρ
(12.14)
from where the bondonic charge may be reshaped by appropriate dimensional scaling
in terms of the bounding parameters (
E
bond
and
X
bond
) successively as
4
π
∇
X
V
X
=
X
bond
→
1
1
4
E
bond
X
bond
ℵ
0
2
e
B
∼
(12.15)
Now, Eq. (12.15) may be employed towards the working ratio between the bondonic
and electronic charges in the ground state of bonding
(
E
bond
[
kcal/mol
])
X
bond
[
A
]
0
e
B
e
∼
1
32
π
ς
e
=
√
3
.
27817
(12.16)
10
3
×
With Eq. (12.16) the situation is reversed compared with the previous paradoxical
situation, in the sense that now, for most chemical bonds (Putz
2010b
; Putz and Ori
2015
/Chapter 10 of this topic), the resulted bondonic charge is small enough to be
not yet observed or considered as belonging to the bonding wave spreading among
the binding electrons.
Instead, aiming to explore the specific information of bonding reflected by the
bondonic mass and velocity, the associated ratios of Eqs. (12.2) and (12.7) for some
typical chemical bonds (Oelke
1969
; Findlay
1955
) are computed (Putz
2010b
; Putz
and Ori
2015
/Chapter 10 of this topic). They may be eventually accompanied by the
predicted life-time of corresponding bondons, obtained from the bondonic mass and
velocity working expressions (12.2) and (12.7), respectively, throughout the basic
time-energy Heisenberg relationship—here restrained at the level of kinetic energy
