Chemistry Reference
In-Depth Information
related with the bonding length and the energy, with Eq. (
11.34
) rewritten in the
ground state as:
h
2
2
E
bond
X
bond
¯
m
B
=
(11.35)
At this point one may further inquire on the elementary time-space-gravitation con-
sequences of having the energy-mass form of Eq. (
11.35
). To unfold this route in a
“Fermi calculation” way one may,
mutatis-mutandis
, considering the macro-micro
unification of particle nature, in the same way the early Planck universe is charac-
terized (Putz
2014
). Actually, one employs the inertial gravity Newtonian equation
with the de Broglie relationship:
⎧
⎨
⎩
G
m
r
2
pλ
=
h
a
=
(11.36a)
into the working parameter bondonic space:
⎧
⎨
X
B
c
2
m
B
(m
B
c) X
B
=
G
B
=
(11.36b)
⎩
h
Note that unlike the Planck constant (h) and light speed in vacuum (c) that inter-
vened already in derivation of the bondonic mass (
11.35
) the gravitation constant (G)
behaves here as free-parameter, being this the reason it was considered as bondonic-
dependent in (
11.36b
); it opens also the insight into evaluating the gravitational
effects for the chemical bonding phenomenology. This is not surprising due to the
fact such gravitational effects should be present and act towards chemical bonding
formation against the inter-electronic electrostatic repulsion; accordingly, like in the
“early birth of universe in the Planck era” the chemical bonding should compensate
the electronic repelling by gravitational nano-effects sustaining chemical binding;
the system (
11.36b
) nevertheless assures the macroscopic gravitational equation is
scaled at the quantum level by corresponding de Broglie equation applied to the same
bondon; the price is that we have to assume the bondon as moving with light velocity
in bonding (i.e. linking the pairing electrons)—a picture which we can assume at the
orbital bonding and which will be avoided for cases the bondon is delocalized over
the entire molecule, see the Chaps. 12 and 13 of the same topic (Putz et al.
2015a
,
b
).
Worth remembering that the bonding-fermionic and condensing-bosonic properties
are unified by Bohmian/entangled quantum field quantized by the bondon quasi-
particle (Putz
2012
) carrying the electronic elementary charge (like a fermion) with
almost velocity of light (like a light boson) in the femtoseconds range of observation
(Martin et al.
1993
) either along bonds (pairing electrons) or networks (connecting
many-atoms in nanosystems), respectively (Putz and Ori
2012
).
However, the orbitalic treatment of the bondon being of photonic-like nature, is
partly justified by the fact the bondon is a boson, like photons, while rooting in the
inter-electronic interaction so inheriting some of the fermionic features too.
