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In particular, such assumption is con¿ rmed by the probability formula of electron
transport
W
d
due to the overlapping of wave functions 1 and 2 (in stationary state) at
electron conformation interactions:
1
2
WW
=
12
(1)
W
∞
WW
+
1
2
Equation (1) is used [1] when assessing the characteristics of diffusion processes ac-
companied with electron nonradiating transport in proteins.
The modi¿ ed Lagrangian equation is also illustrative. For the relative movement
of isolated system of two interacting material points with the masses
m
1
and
m
2
in
coordinate
ɯ
it looks as follows:
111
eq
mmm
s
s
U
"
m
X
eq
x
1
2
where
U
= mutual potential energy of points and
m
eq
= equivalent mass. Here
ɯ
Ǝ
=
a
(characteristic of system acceleration). For interaction elementary areas ¨ɯ can be
taken as follows:
s
%
s%
U
U
x
that is
ax
%
U
m
%
ïð
x
1
1
1
Then:
x%
U
x%
U
/
/
(
m
ax
% %
)
ax
)
1/
ax
%
1
1
m
mm
1(
1
2
1
1
2
1 1
1
UU U
x
Or:
%%%
(2)
1
2
where
¨U
1
and
¨U
2
= potential energies of material points on the interaction elemen-
tary area and
¨U
= resultant (mutual) potential energy of these interactions.
“Electron with mass m moving near the proton with mass M is equivalent to the
particle with mass
mM
” [2].
m
eq
mM
In this system the energy characteristics of subsystems are: electron orbital energy
(
W
i
) and effective nucleus energy that takes screening effects into account ɢ (by
Clementi).
Therefore, assuming that the resultant interaction energy of the system orbital
nucleus (responsible for interatomic interactions) can be calculated by the following
principle of adding the reverse values of some initial energy components, we substan-
tiate the introduction of P-parameter [3] as averaged energy characteristics of valence
orbitals according to the following equations:
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