Chemistry Reference
In-Depth Information
energy
distance
charge
×
ℵ
B
∼
charge
potential
×
×
distance
difference
(10.4)
∼
charge
potential
∼
×
distance
difference
revealing that the chemical bonding field caries
bondons
with unit quanta
hc/e
along
the distance of bonding within the potential gap of stability or by tunneling the
potential barrier of encountered bonding attractors.
¯
5. Rewriting the quantum wave-function/spinor equation with the group object
G
,
while separating the terms containing the real and imaginary
ℵ
chemical field
contributions.
6. Identifying the chemical field charge current and term within the actual group
transformation context.
7. Establishing the global/local gauge transformations that resemble the de Broglie-
Bohm wave-function/spinor ansatz
0
of steps (1)-(3).
8. Imposing invariant conditions for
G
wave function on pattern quantum equation
respecting the
0
wave-function/spinor action of steps (1)-(3).
9. Establishing the chemical field
specific equations.
10. Solving the system of chemical field
ℵ
ℵ
equations.
11. Assessing the stationary chemical field
∂
∂t
≡
∂
t
ℵ=
0
(10.5)
that is the case in chemical bonds at equilibrium (ground state condition) to simplify
the quest for the solution of chemical field
ℵ
.
12. The manifested bondonic chemical field
ℵ
bondon
is eventually identified along
the bonding distance (or space).
13. Checking the eventual charge flux condition of Bader within the vanishing
chemical bonding field (Bader
1990
)
ℵ
B
=
⇔∇
=
0
ρ
0
(10.6)
14. Employing
the
Heisenberg
time-energy
relaxation-saturation
relationship
through the kinetic energy of electrons in bonding
2
T
m
∼
2
h
t
m
¯
v
=
(10.7)