The crystal is represented in the form of individual molecule sublattices. Within oscillation electronic model, a superconducting phase transition in an ABCD crystal is possible when the square plasma energy Φ
2 of the resulting molecular sublattices is equal (or larger) to the square plasma energy of the initial crystal.
Within the electron oscillation model, the parameters of the valence electron TGS crystal interaction — triglycine sulfate (NH
2CH
2COOH)
3H
2S0
4 were considered. For TGS, the parameters for phase transition temperatures at T
1 <10 K, T
2 = 110 K, T
3 = 322.05 K were calculated.
The results of calculations using the electron plasma model for TGS: M is the molecular mass, ρ is the mass density, s is the number of valence electrons, G is the glycine molecule NH
2CH
2COOH, Φ
2 = 830 ● ρ ● s / M ─ square plasma energy in eV
2; q, v = z●β, β are interaction parameters, z is the number of formula units,
q = v●Φ
2 (TGS)/ΣΦ
2─1, Φ
2 (TGS) ─ square plasma energy for TGS, ΣΦ
2 is the total square energy of the resulting molecules when the valence bonds are broken.
Φ
2 (TGS) = 830●1.69●122 / 323.3 = 529.32075471,
2●Φ
2 (O) = 2●354.9456 = 709.89.
0.5●Φ
2 (S) = 0.5●321.48069606 = 160.74034803,
Φ
2 (GH) = 543.55343762, 0.5●Φ
2 (G) = 533.02650859/2 = 266.513254295
Φ
2 (GH) + 0.5●Φ
2 (G) = 543.55343762 + 266.513254295 = 810.066691915
Energy balance criterion
Φ
2 (TGS) = 529.32075471 < Φ
2 (GH) + 0.5●Φ
2 (G) = 810.066691915,
Φ
2 (TGS) = 529.32075471 < 2●Φ
2 (O) = 709.8912,
Φ
2 (TGS) = 529.32075471 > 0.5●Φ
2 (S) = 0.5●321.48069606 = 160.74034803.
ΣΦ
2 = 709.8912 + 810.066691915 + 160.74034803 = 1680.698239945
q = 2●β●529.32075471 / 1680.698239945 ─ 1
From the equation T
c = 40.05687 q
2 ─ 234.44056 q + 191.51842 we calculate the parameters q, β for several temperatures: 322.15, 110, 6, 2.872413475, 0.
It can be assumed that the phase transition in TGS crystal at T
2 = 110 K is antiferroelectric. The coexistence or phase separation of the antiferroelectric and superconducting phases is possible. At T <150 K, the TGS crystal undergoes phase separation, leading to crystal destruction. Therefore, it is necessary to use a TGS crystal for detectors in the temperature range up to 200 K.