Separation of Hydrogen Isotopes Using Bilayer Membranes

Poteryaeva, Valentina A.; Bubenchikov, M. A.

doi:10.1007/s11182-021-02402-6

Cited by 3 publications

(3 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This energy determines the state of the particle; it is uniquely related to its speed. The Boltzmann distribution (7) can be modeled by a set of particles with velocities (particle energies) varying in a finite range. Based on the results of solving the Schrödinger Equation (7) with different initial particle energies, we can find the aggregate of values D(x) = |ψ| 2 for all the values of x.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The membrane permeability increases sharply when the distance between the two membrane layers is selected equal to the de Broglie wavelength of one of the components (Figure 1). Thus, a resonance effect arises and significantly increases the degree of separation of isotope mixtures [7,8]. The work aims to find conditions (distances between membrane layers and temperature) that provide the highest separation degree of light isotope mixture passing through the compound membrane of two monoatomic layers.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Light Isotope Separation through the Compound Membrane of Graphdiyne

2022

View full text Add to dashboard Cite

The separation of isotopes of one substance is possible within the framework of the quantum mechanical model. The tunneling effect allows atoms and molecules to overcome the potential barrier with a nonzero probability. The membranes of two monoatomic layers enhance the differences in the components’ passage through the membrane, thereby providing a high separation degree of mixtures. The probability of overcoming the potential barrier by particles is found from the solving of the Schrödinger integral equation. Hermite polynomials are used to expand all the terms of the Schrödinger integral equation in a series to get a wave function. A two-layer graphdiyne membrane is used to separate the mixture.

show abstract

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Light Isotope Separation through the Compound Membrane of Graphdiyne

2022

View full text Add to dashboard Cite

show abstract

“…Graphene membranes with pores obtained by removing one or more atoms of the structure allow mobile particles to overcome the energy barrier and pass through the pores [12][13][14]. At the same time, the creation of nanoscale pores by removing only one carbon ring of a graphene sheet is not enough to ensure the separation of helium isotopes [3].…”

Section: Introductionmentioning

confidence: 99%

Helium isotope separation by bi-layer membranes of g-C₃N₄

Poteryaeva¹,

Бубенчиков²,

Bubenchikov³

et al. 2021

Adv. Nat. Sci: Nanosci. Nanotechnol.

View full text Add to dashboard Cite

The problem of helium isotope separation via bi-layer membranes of graphitic carbon nitride g-C3N4 has been studied. The probability of passing isotopes through the membrane is derived from solving the Schrödinger integral equation using Hermite polynomials. The potential energy of the membrane is calculated based on modified Lennard-Johnes potential. The separation degree of the 3He/4He reaches the value of 1045 due to the resonant effect.

show abstract