Isotopic separation of helium through graphyne membranes: a ring polymer molecular dynamics study

Microscopic-level understanding of the separation mechanism for two-dimensional (2D) membranes is an active area of research due to potential implications of this class of membranes for various technological processes. Helium (He) purification from the natural resources is of particular interest due to the shortfall in its production. In this work, we applied the ring polymer molecular dynamics (RPMD) method to graphdiyne (Gr2) and graphtriyne (Gr3) 2D membranes having variable pore sizes for the separation of He isotopes, and compare for the first time with rigorous quantum calculations. We found that the transmission rate through Gr3 is many orders of magnitude greater than Gr2. The selectivity of either isotope at low temperatures is a consequence of a delicate balance between the zero-point energy effect and tunneling of ⁴He and ³He. In particular, a remarkable tunneling effect is reported on the Gr2 membrane at 10 K, leading to a much larger permeation of the lighter species as compared to the heavier isotope. RPMD provides an efficient approach for studying the separation of He isotopes, taking into account quantum effects of light nuclei motions at low temperatures, which classical methods fail to capture.

Graphenylene and inorganic graphenylene nanopores for gas-phase 4He/3He separation: kinetic and steady-state considerations

Selective membrane-based separation of light isotopes is considered to be possible based on the quantum phenomena. In this regard, the role of two mass-dependent effects, quantum tunneling and zero-point energy (ZPE), is realized to be consequential for selective separation of helium isotopes using appropriate membranes. In the present study, the efficiency of two analogous nanoporous membranes, graphenylene (GP) and inorganic graphenylene (IGP), for gas phase separation of 3He and 4He has been theoretically investigated. Since the performance of the studied membranes is extremely influenced by the close competition between both quantum tunneling and zero-point energy (ZPE) effects, high precision in the calculations is required to provide more realistic theoretical predictions. The current study attempts to provide such predictions by applying domain-based local pair natural orbital coupled cluster theory (DLPNO-CCSD) to obtain the accurate helium-pore interaction potential, based on which the tunneling rates, as well as the exact (anharmonic) bound levels for the vibration of helium in the pore plane, are calculated. From the analysis of the obtained results, the performance of the GP and IGP nanopores has been investigated in both kinetic competition and steady-state conditions in the temperature range of 10-200 K. The results of this study indicate that harmonic oscillator approximation significantly overestimates the efficiency of the studied nanopores for helium isotope separation. Based on our accurate calculations, both GP and IGP nanopores provide almost similar selectivities in kinetic competition conditions (Stot4/3 ≈ 3 at T = 50 K); however, the predicted permeance for GP (10-8 mol m-2 s-1 bar-1) is about 100 times higher than that predicted for IGP under the same conditions. Under steady-state conditions, IGP has been shown to be more efficient than GP, since it provides acceptable values of separation factor at higher temperatures.

A new two-dimensional semiconducting carbon allotrope with direct band gap: a first-principles prediction

Two-dimensional (2D) carbon materials with an appropriate band gap play important roles in the various electronics fields. Here, based on first-principles calculations, we predict a new 2D carbon allotrope containing 32 atoms, consists of pentagonal, hexagonal, octagonal and decagonal rings. This new allotrope is named as Po-C32, which possesses P4/MMM symmetry with a tetragonal lattice and has a vertical distance of 2.22 Å between the uppermost and undermost atoms. The cohesive energy, phonon band structure,ab initiomolecular dynamics simulations and elastic constants fitting confirm Po-C32 has high stabilities. The fitted in-plane Young's modulus and Poisson's ratio alongaandbdirections areY_a=Y_b= 244 N m^-1andv_a=v_b= 0.14, respectively, exhibiting the same mechanical properties alongaandbdirections. Interestingly, Po-C32 is a semiconductor with a direct band gap of 2.05 eV, comparable to that of phosphorene, exhibiting great potential in nanoelectronics. Moreover, two stable derivative allotropes are also predicted based on Po-C32. Po-C24-3D is an indirect narrow band gap (1.02 eV) semiconductor, while Po-C32-3D possesses a wider indirect band gap of 3.90 eV, which can be also applied in optoelectronic device.