446
seen showing the energy level at which water is split photolytically employing this
device. Two photons are shown alongside a single stand-alone electron-hole pair. At
the start, incidental light with the PEC/PV configuration enters the broad bandgap
p-GaInP 2 layer that undertakes absorption of the more vigorous photons. This then
stimulates the electron hole, generating photovoltage Vph1, and less vigorous photons enter through the GaInP 2 with the GaA bottom p/n junction absorbing them for
generation of photovoltage Vph2 (Fig.  22.4). A grouping of electrons and holes
recombines at the tunnel’s junction. When the produced photovoltage is in excess of
Vph = Vph1 + Vph2 required for photo-electrolysis with this configuration of cells,
water will be driven toward the semiconductor electrode while water at the counterelectrode will only need two photons to create an electron within the external circuit
and just four electrons will be needed for the generation of a single H 2 molecule,
which represents the creation of clean energy.
Results/Discussion
Electrostatic Force Analysis
The efforts to create mathematically a proliferation of electric forces around our
plastic tank to attract water downwards require the resolving of the issue of dynamic
photon proliferation by integrating the manufactured HSEF electrical field. Thus the
local U(1) gauge invariant permitted adding a mass term related to gauge particles
from ∅
′
 → e
iα(x)
∅. A covariant derivative employing a special rule for transformation
offers a detailed explanation for the scalar field as shown in [24] (Fig. 22.6):
∂ →
= ∂ =
[
]
µ
µ
µ
µ
D
i eA
covariant derivatives
A
A e
A
µ
µ
µ
µ
α
′
=
+ ∂
 
 
1
derivatives
(22.13)
in which local U(1) gauge invariant HSEF matched with the complex scalar field as
shown below:
(22.14)
Significantly, the function
1
4
F F
v
v
∝
∝
is representative of the kinetic term for the
gauge field, i.e., heating photon, with V(∅) representing the extra term within the
HSEF. Thus V(∅
∗
∅) = μ
2
(∅
∗
∅) + λ(∅
∗
∅)
2
.
So the HSEF (ɧ), being subjected to agitation in the quantum field, begins with
massive scalar particles ϕ 1 and ϕ 2 combined with a mass μ. Subsequently μ
2
 < 0
implies measureless quantum and all of them satisfy φ φ
µ λ
1
2
2
2
2
2
+ = −
=
/
v and
22 Global Environmental Equilibrium
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