1. Ich denke, dass es gibt richtig Idea—aber keine Ordnung in Schreibung. Ich brauche Hilfe.
Akselrod Gennadij Semenovich
Empirical parameter for high-temperature superconductivity
Annotation
The empirical factor, which is connected with distinction of the areas of films in a two-layer covering
is offered. It is deduced the formula, allowing to search for superconductors with high critical
temperature in such covering.
I. Introduction
It is offered the empirical mental experiment, which is connected with distinction of squares of the
areas of thin films in a two-layer covering . One of the films is known as superconductor at helium
temperatures. The second film gets out any way enough and varying the area of this covering, there is
a hypothetical probability to achieve high-temperature superconductivity in this film. For this purpose
is offered the empirical formula. The consideration is conducted from the engineering point of view
on a formal difference of the areas of coverings. Owing to it influence of a magnetic field and the way
of creation of a necessary configuration of an electromagnetic field in a hypothetical superconductor
with high critical temperature is not considered. By consideration is considered that fact, that the
Fermi's level of boson condensate in a superconductor is equivalent to electrochemical potential of
this superconductor.
II. We will consider the value of the Fermi’s level of boson condensate at the flow in a
superconductor of a superconducting current. As is known, the Fermi's level in a firm body is
identically equals to an electrochemical potential of this body:
F SE µ≡ (1)
On the other hand,
µ s = T ·ΔS - P·ΔV (2)
Where T - temperature, ΔS - entropy change, P - pressure, ΔV --change of volume [1]
Let's consider the second member ( P·ΔV) in the equation (2) from the point of view of dimension:
[ ] 


 ∆•=
4
3
2
sm
sm
smxsm
xsm
g ρ (3)
1

2. Where ρ - the body density,
4
sm∆ has dimension of the square of the area. We will designate
through ΔR
Then the equation (2) takes the form: (4)
( In a context of given article it is possible to consider as a projection to a plane of 4 pulse spaces of
coordination to the Fermat-sphere)
III. Now we will make mental experiment. We will assume, that the thin vacuum film is put on a
substrate from a known superconductor with a certain square of area
)1(
R∆ . It is supposed as, that the
temperature of this superconductor is extremely close to critical, but the superconducting current has
not fallen yet to zero. Then it is possible to write down for helium superconductor:
)1()1()1()1()1(
RST
cs
∆−∆= ρµ (5)
Now from above it is evaporated a thin vacuum film from a hypothetical high-temperature
superconductor with a varied square of area
)2(
R∆ . Then, similarly (5) it is possible to write down:
)2()2()2()2()!9
RST
cы
∆−∆= ρµ (6)
Where >
( )1
cT .
At once we will make a reservation, that consideration is conducted to a formal sign of a difference
of covering’s areas. Therefore it is not considered neither magnetic field influence, nor a way of
creation of a necessary configuration of an electromagnetic field in a hypothetical high-temperature
superconductor. About it see, for example, [2].
Let's consider relation
( ) ( )2 1
S Sµ µ and we will designate it through b. Further with the big degree
of reliability it is possible to consider, that at temperatures close to critical
11 0
)2()1(
=
Κ
•
=∆=∆
smg
SS
The density of thin vacuum films is usually very close on the value. Here for simplicity we will
consider:
( ) ( )1 2
ρ ρρ == .
It is definitively possible to write down:
)1()1(
)2()2(
)1(
)2(
RT
RT
b
c
c
s
ы
∆−
∆−
==
ρ
ρ
µ
µ
(7)
And
)2()2()1()1(
)(
cc
TRRTb =∆+∆−• ρρ (8)
Let's designate cRTb
c
=∆−• )(
)1()1(
ρ , that is constant, so as this all the certain or set sizes.
Definitively we have:
(9)
4
smΔ
S TΔSµ = − ΔR



(
↓
2)
cT
2
)2()2(
c
TRc =∆+ρ

3. From [9] follows, that at the set size of the film’s area of the known гhelium superconductor by a
way of variation of the area of a hypothetical superconductor there is a probability to receive
empirical by a superconducting current at higher, than helium, temperatures.
The literature:
[1] B.F.Ormont «Introduction in physical chemistry and crystal chemistry of semiconductors»,
Moscow: "Higher school", 1973
[2] G.S.Akselrod «Induction of superconductivity at a room temperature in a film of a two-layer
covering from refractory alloys by a method of dot laser pulse influence on the known superconductor
film», St.-Peterburg, 2008 (not published manuscript).
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