{"id":906787,"date":"2026-11-05T12:56:13","date_gmt":"2026-11-05T12:56:13","guid":{"rendered":"https:\/\/www.newsbeep.com\/us\/906787\/"},"modified":"2026-11-05T12:56:13","modified_gmt":"2026-11-05T12:56:13","slug":"towards-observing-interstitial-hydrogen-in-solution-in-metal-lattices","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/us\/906787\/","title":{"rendered":"Towards observing interstitial hydrogen in solution in metal lattices"},"content":{"rendered":"<p>Materials<\/p>\n<p>The ingot of CoCrNiFeMn high-entropy alloy was prepared by vacuum arc melting a mixture of pure elements with purity greater than 99.95\u2009wt.% under an argon atmosphere after a vacuum of 3.3\u2009Pa has been reached. The ingot was melted at least four times to ensure compositional homogeneity, followed by homogenization at 1,200\u2009\u00b0C for 24\u2009h, cold rolling to a 90% thickness reduction (from 10\u2009mm to 1\u2009mm) and annealing at 950\u2009\u00b0C for 4\u2009h.<\/p>\n<p>The sample with a nominal chemical composition of (CoCrNi)94Al3Ti3 (at.%) was synthesized through vacuum arc melting high-purity metals (purity\u2009\u2265\u200999.9\u2009wt.%) under an argon atmosphere. To ensure compositional homogeneity and prevent element segregation, the sample was melted five times before being poured into a round ingot with a diameter of 50\u2009mm. The as-cast sample was homogenized at 1,200\u2009\u00b0C for 3\u2009h and then cold-rolled along with its thickness to reduce the thickness by 50%. Two different microstructures were achieved by applying distinct heat treatments to the as-rolled samples: heating at 1,000\u2009\u00b0C for 1\u2009h, yielding the precipitate-free state (solution-treated), followed by 800\u2009\u00b0C for 5\u2009h, yielding the precipitated sample. All heat-treated samples were water-quenched.<\/p>\n<p>The ingot of CoNiV alloy was synthesized by vacuum arc melting under an argon atmosphere (99.99% purity) after a pressure of 3.3\u2009Pa. To ensure compositional homogeneity, the ingots were remelted five times. The ingots were then hot-forged at 1,200\u2009\u00b0C into rectangular slabs with a thickness of 5\u2009mm and a width of 20\u2009mm, followed by homogenization at 1,200\u2009\u00b0C for 3\u2009h. Subsequently, the homogenized alloys were cold-rolled to a total thickness reduction of 50%. Finally, the cold-rolled sheets were subjected to solution annealing at 1,000\u2009\u00b0C for 1\u2009h (solution-treated).<\/p>\n<p>The Inconel 718 nickel-based superalloy had a chemical composition of 54.72Ni\u201318.60Fe\u201318.70Cr\u20134.24Nb\u20132.62Mo\u20130.80Ti\u20130.27Al\u20130.05C\u2009wt.% (53.93Ni\u201319.26Fe\u201320.80Cr\u20132.64Nb\u20131.58Mo\u20130.97Ti\u20130.58Al\u20130.24C\u2009at.%). This alloy (diameter 15\u2009mm, length 70\u2009mm) was fabricated using a commercial selective laser melting system (EOS M\u2009400) with an average powder size of 30\u2009\u00b1\u200911\u2009\u00b5m, a scanning strategy of 67\u00b0 rotation, a laser power of 340\u2009W, scanning speed of 1,100\u2009mm\u2009s\u22121 and layer thickness of approximately 50\u2009\u00b5m. The printed samples were initially homogenized at 1,100\u2009\u00b0C for 1\u2009h and then water-quenched to room temperature. Subsequently, the samples were subjected to a two-step ageing treatment: first at 720\u2009\u00b0C for 1\u2009h, followed by furnace cooling to 620\u2009\u00b0C, at which they were held for 8\u2009h before final air cooling to room temperature. The sequential D022 (\u03b3\u2033-type) and L12 (\u03b3\u2032-type) precipitates are introduced during the 720\u2009\u00b0C and 620\u2009\u00b0C ageing treatments, respectively.<\/p>\n<p>Electron microscopy<\/p>\n<p>Samples for the EBSD analysis were initially polished using 5000-grit SiC sandpaper, subsequently polished with diamond paste for 3\u2009min and finally electrolytically polished in a 1:9 solution of HClO4 and C2H5OH at 243\u2009K for 20\u2009s under a DC voltage of 25\u2009V. The pre-thinned TEM foils, with a thickness of 50\u201360\u2009\u03bcm, were polished using double-jet electropolishing at 243\u2009K in 10\u2009volume percent of HClO4 in methanol to prepare the TEM sample.<\/p>\n<p>EBSD mapping used a Symmetry S2 detector (Oxford Instruments) and TEM imaging was conducted on a JEM-2100F (JEOL). High-resolution STEM imaging was performed using the FEI Themis Z microscope equipped with an EDS detector. Atomic-resolution chemical characterization with compositional mapping was performed using four in-column Super-X silicon drift detectors.<\/p>\n<p>Atom probe tomography<\/p>\n<p>The sample preparation began with matchstick bars with dimensions 1\u2009\u00d7\u20091\u2009\u00d7\u200913\u2009mm3. The samples were initially polished using 800-grit sandpaper. Coarse electropolishing was then performed using a 25% perchloric acid solution in glacial acetic acid at voltages ranging from 15 to 30\u2009V to polish the samples into needle-like specimens. Fine electropolishing was subsequently performed using a 2% perchloric acid solution in ethylene glycol butyl ether at voltages ranging from 10 to 25\u2009V. This fine electropolishing procedure used a platinum wire ring cathode and was monitored under a 40\u00d7 optical microscope. A key step involved forming a neck until the top portion detached, creating a sharp tip.<\/p>\n<p>Before deuterium charging, FIB tip sharpening was performed on the electropolished tips to ensure that the samples satisfied APT requirements in tip sharpness. APT was then performed using a LEAP 4000X instrument (CAMECA), operating in voltage-pulsing mode with a 0.2% detection rate, 200-kHz pulse frequency, 20% pulse fraction and sample temperature of 50\u2009K. Data processing was performed using AP Suite software (version 6.1, CAMECA). The image compression factors and k factors used for reconstruction were 1.3 and 3.3 for the CoCrNiFeMn alloy and the Inconel 718 nickel-based superalloy and 1.5 and 3.3 for the (CoCrNi)94Al3Ti3 alloy, respectively. These reconstruction parameters were selected following standard APT reconstruction procedures and, for the precipitate-containing datasets, refined by comparison with precipitate morphologies independently observed by TEM. Peak ranging was performed by considering the full isotopic distributions of the major alloying elements and possible molecular ions; the bulk composition analysis is shown in Supplementary Tables\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">2<\/a>\u2013<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">4<\/a>. A peak-free region around 2.5\u2009Da was defined as noise and used to estimate the local low-mass background adjacent to the 2-Da signal. Three representative mass spectra are shown in Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">8<\/a> and the results for all eight successful cryo-APT datasets out of 68 trials are summarized in Supplementary Table\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">5<\/a>. Because D+ and H2+ overlap at 2\u2009Da and cannot be resolved directly, this overlap was treated separately as a systematic uncertainty and assessed using uncharged reference specimens analysed under identical voltage-pulsing conditions. APT reconstruction sensitivity was further evaluated by reconstructing the dataset shown in Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3<\/a> using an alternative image compression factor value of 1.3, which did not alter the observed preferential deuterium enrichment within the L12 precipitate (Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">9<\/a>).<\/p>\n<p>Electrolytic deuterium charging<\/p>\n<p>A charging solution of 0.1\u2009M NaOH in D2O (Sigma-Aldrich) was used to create a deuterium-rich environment around the samples at the cathode in an electrolytic circuit, with a gold counter-electrode. This was carried out in a custom-designed cryo-transfer glovebox (M. BRAUN Inertgas-Systeme). Four sharp specimens were pre-mounted in a four-needle atom probe sample puck with polyether ether ketone insulation. The four tips protruded from the puck to the same height and were immersed into the charging solution at a depth that was barely visible and could only be identified by means of the capillary of the liquid solution. Deuterium charging was conducted at 1.6\u2009V for 90\u2009s powered by Keysight 2901A, followed by immediately immersing the whole puck in a LN2 bath.<\/p>\n<p>Cryogenic sample transfer and cryo-FIB for APT specimens<\/p>\n<p>After deuterium charging and LN2 quenching, the specimens for Figs.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#Fig3\" rel=\"nofollow noopener\" target=\"_blank\">3<\/a> and <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#Fig4\" rel=\"nofollow noopener\" target=\"_blank\">4<\/a> were transferred from the glovebox to a Hydra plasma focused ion beam (PFIB; Thermo Fisher Scientific) with a cryo-stage using a cryogenic sample carrier (Ferrovac). The sharpening process was completed on a cryo-stage at approximately \u2212190\u2009\u00b0C. Two ion-beam conditions were used\u201430\u2009kV\u20130.1\u2009nA and 30\u2009kV\u201330\u2009pA\u2014to remove ice and further refine and smooth the tips during the annular milling process. A final polishing step at 5\u2009kV\u201350\u2009pA was applied for 10\u2009s to remove the possible ion-damaged layer. The APT specimens were then transferred using the cryogenic transfer suitcase from the PFIB system to the APT system for APT measurements.<\/p>\n<p>Thermal desorption spectroscopy<\/p>\n<p>For the TDS tests, samples measuring 1\u2009\u00d7\u20098\u2009\u00d7\u200910\u2009mm3 were polished using 5000-grit SiC sandpaper. The samples were then charged for 72\u2009h at a constant current density of 20\u2009mA\u2009cm\u22122 in a solution containing 0.5\u2009M H2SO4 and 2\u2009g\u2009l\u22121 CH4N2S. TDS measurements were subsequently performed using a mass spectrometer (JTF-20A), with heating rates of 100\u2009\u00b0C\u2009h\u22121, 200\u2009\u00b0C\u2009h\u22121 and 300\u2009\u00b0C\u2009h\u22121.<\/p>\n<p>Density functional theory calculations<\/p>\n<p>All DFT calculations were performed using the projector augmented wave<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 39\" title=\"Blochl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953&#x2013;17979 &#010;                https:\/\/doi.org\/10.1103\/physrevb.50.17953&#010;                &#010;               (1994).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR39\" id=\"ref-link-section-d11090949e2046\" rel=\"nofollow noopener\" target=\"_blank\">39<\/a> method, as implemented in the Vienna Ab initio Simulation Package (VASP)<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 40\" title=\"Kresse, G. &amp; Furthmuller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169&#x2013;11186 &#010;                https:\/\/doi.org\/10.1103\/physrevb.54.11169&#010;                &#010;               (1996).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR40\" id=\"ref-link-section-d11090949e2050\" rel=\"nofollow noopener\" target=\"_blank\">40<\/a>. The exchange-correlation effects were selected as the generalized gradient approximation determined by the Perdew\u2013Burke\u2013Ernzerhof functional<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 41\" title=\"Perdew, J. P., Burke, K. &amp; Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865&#x2013;3868 &#010;                https:\/\/doi.org\/10.1103\/PhysRevLett.77.3865&#010;                &#010;               (1996).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR41\" id=\"ref-link-section-d11090949e2054\" rel=\"nofollow noopener\" target=\"_blank\">41<\/a>. To simulate chemical disorder, the special quasirandom structure (SQS) approach<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 42\" title=\"Zunger, A., Wei, S., Ferreira, L. G. &amp; Bernard, J. E. Special quasirandom structures. Phys. Rev. Lett. 65, 353&#x2013;356 &#010;                https:\/\/doi.org\/10.1103\/PhysRevLett.65.353&#010;                &#010;               (1990).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR42\" id=\"ref-link-section-d11090949e2058\" rel=\"nofollow noopener\" target=\"_blank\">42<\/a> was applied using the Alloy Theoretic Automated Toolkit (ATAT)<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 43\" title=\"van de Walle, A. et al. Efficient stochastic generation of special quasirandom structures. Calphad 42, 13&#x2013;18 &#010;                https:\/\/doi.org\/10.1016\/j.calphad.2013.06.006&#010;                &#010;               (2013).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR43\" id=\"ref-link-section-d11090949e2062\" rel=\"nofollow noopener\" target=\"_blank\">43<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 44\" title=\"van de Walle, A., Asta, M. &amp; Ceder, G. The alloy theoretic automated toolkit: a user guide. Calphad 26, 539&#x2013;553 &#010;                https:\/\/doi.org\/10.1016\/s0364-5916(02)80006-2&#010;                &#010;               (2002).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR44\" id=\"ref-link-section-d11090949e2065\" rel=\"nofollow noopener\" target=\"_blank\">44<\/a>. A plane-wave cut-off of 450\u2009eV was used and the Brillouin zones were sampled with a gamma-centred Monkhorst\u2013Pack grid<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 45\" title=\"Monkhorst, H. J. &amp; Pack, J. D. Special points for Brillouin-zone integrations. Phys. Rev. B 13, 5188&#x2013;5192 &#010;                https:\/\/doi.org\/10.1103\/PhysRevB.13.5188&#010;                &#010;               (1976).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR45\" id=\"ref-link-section-d11090949e2070\" rel=\"nofollow noopener\" target=\"_blank\">45<\/a>. Next, the Methfessel\u2013Paxton method<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 46\" title=\"Methfessel, M. &amp; Paxton, A. T. High-precision sampling for Brillouin-zone integration in metals. Phys. Rev. B 40, 3616&#x2013;3621 &#010;                https:\/\/doi.org\/10.1103\/physrevb.40.3616&#010;                &#010;               (1989).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR46\" id=\"ref-link-section-d11090949e2074\" rel=\"nofollow noopener\" target=\"_blank\">46<\/a> was used with a smearing width of 0.1\u2009eV. The supercell size and atomic positions were allowed to relax until the Hellmann\u2013Feynman forces were less than 0.01\u2009eV\u2009\u00c5\u22121 and convergence criteria for energies and forces were set to 1.0\u2009\u00d7\u200910\u22125\u2009eV per atom and 0.02\u2009eV\u2009\u00c5\u22121, respectively.<\/p>\n<p>CoCrNiFeMn MPEA, CoCrNi MPEA and L12 Ni3(Al,\u2009Ti) precipitates, pure Ni, Ni2FeCr (matrix of Inconel 718 superalloy) and D022 Ni3Nb precipitates were studied in this work. The CoCrNiFeMn, CoCrNi, L12 Ni3(Al,\u2009Ti), Ni and Ni2FeCr are all FCC structures and D022 Ni3Nb has a tetragonal structure (I4\/mmm, space group 139), the Ni atoms occupy the 4d (0,\u20091\/2,\u20091\/4) and 2b (0,\u20090,\u20091\/2) positions and the Nb atoms occupy the 2a (0,\u20090,\u20090) positions. The SQS method was used to model the disordered phases including CoCrNiFeMn, CoCrNi, L12 Ni3(Al,\u2009Ti) and Ni2FeCr. The CoCrNi, Ni2FeCr, L12 Ni3(Al,\u2009Ti) and Ni phases were modelled using 108\u2009atoms with 3\u2009\u00d7\u20093\u2009\u00d7\u20093 supercells according to their compositions, with all of the Ni atoms occupying the face-centred sites in L12 Ni3(Al,\u2009Ti). CoCrNiFeMn and D022 Ni3Nb were constructed by a 5\u2009\u00d7\u20093\u2009\u00d7\u20092 supercell containing 120\u2009atoms and a 2\u2009\u00d7\u20092\u2009\u00d7\u20091 supercell containing 36\u2009atoms, respectively. The CoCrNi (\\(1\\bar{1}\\bar{1}\\))\/L12 Ni3(Al,\u2009Ti) (\\(1\\bar{1}\\bar{1}\\)) interface was constructed on the basis of experimental data and more than three SQS configurations for each bulk and interface structure were evaluated for comparison.<\/p>\n<p>The DFT analysis mainly considered both octahedral interstitial and tetrahedral interstitial sites. The solution energy (Es) of a hydrogen atom at a trapping site was calculated using equation\u2009(<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"equation anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#Equ1\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a>):<\/p>\n<p>$${E}_{{\\rm{s}}}={E}_{{\\rm{trap}}+{\\rm{H}}}-{E}_{{\\rm{trap}}}-1\/2{E}_{{{\\rm{H}}}_{2}}$$<\/p>\n<p>\n                    (1)\n                <\/p>\n<p>in which Etrap+H and Etrap denote the total energies of the system with and without an interstitial hydrogen atom, respectively, and \\(1\/2{E}_{{{\\rm{H}}}_{2}}\\) denotes the half energy of a H2 molecule. Given the heterogeneous chemical environment surrounding the interstitial sites in MPEAs, more than 20 randomly selected interstitial sites were sampled in each bulk phase structure, along with ten randomly selected interstitial sites at each interface structure, including both octahedral interstitial sites and tetrahedral interstitial sites.<\/p>\n<p>We performed further calculations about the formation of vacancy. We selected three representative phases (CoCrNi, L12 Ni3(Al,\u2009Ti) and D022 Ni3Nb) to conduct the relevant investigations, which can reflect the general energetic characteristics. Vacancies were introduced by removing atoms from the perfect supercell, the vacancy formation energy \\({E}_{{\\rm{V}}}^{{\\rm{f}}}\\) was computed as follows:<\/p>\n<p>$${E}_{{\\rm{V}}}^{{\\rm{f}}}={E}_{{\\rm{V}}}-{E}_{{\\rm{bulk}}}+{\\mu }_{i}$$<\/p>\n<p>\n                    (2)\n                <\/p>\n<p>in which EV and Ebulk are the energies of defective and defect-free supercells, respectively, and \u03bci is the chemical potential of the removed atom from the supercell. The chemical potential of the vacancy atom i was calculated according to the Widom-type substitution technique<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 47\" title=\"Luo, Z., Gao, W. &amp; Jiang, Q. Determinants of vacancy formation and migration in high-entropy alloys. Sci. Adv. 11, eadr4697 &#010;                https:\/\/doi.org\/10.1126\/sciadv.adr4697&#010;                &#010;               (2025).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR47\" id=\"ref-link-section-d11090949e2543\" rel=\"nofollow noopener\" target=\"_blank\">47<\/a>. We calculated 40 substituted structures to determine the \u03bci of each element i. The calculated chemical potentials of different elements in CoCrNi were used to calculate the formation energies of vacancies in CoCrNi. For L12 Ni3(Al,\u2009Ti) and D022 Ni3Nb, \u03bci denotes the total energy of the X atom at its ground state.<\/p>\n<p>According to quantum mechanics, particles maintain a residual non-zero energy even at 0\u2009K, which is defined as zero-point energy (ZPE)<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 48\" title=\"Setyawan, W. &amp; Senor, D. J. Influence of hydrogen isotopes on vacancy formation and antisite defect diffusion in palladium and vanadium metals. Comput. Mater. Sci. 197, 110641 &#010;                https:\/\/doi.org\/10.1016\/j.commatsci.2021.110641&#010;                &#010;               (2021).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR48\" id=\"ref-link-section-d11090949e2575\" rel=\"nofollow noopener\" target=\"_blank\">48<\/a>. Here we used the ZPE and entropy corrections on H solution energies for three of the investigated alloys (CoCrNi, L12 Ni3(Al,\u2009Ti) and D022 Ni3Nb). The Gibbs free energy of hydrogen dissolution, \u0394Gs is defined as follows:<\/p>\n<p>$$\\Delta {G}_{{\\rm{s}}}={E}_{{\\rm{s}}}+\\Delta {E}_{{\\rm{ZPE}}}-T\\Delta S$$<\/p>\n<p>\n                    (3)\n                <\/p>\n<p>in which Es is the calculated solution energy, \u0394EZPE is the difference in ZPE of hydrogen in the dissolved state and the gas phase and \u0394S is the entropy difference between the dissolved state and the gas phase of hydrogen at standard conditions (atmospheric pressure, 298\u2009K). The calculated ZPE of a diatomic H2 gas is 0.269\u2009eV, which is in good agreement with previous studies<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Setyawan, W. &amp; Senor, D. J. Influence of hydrogen isotopes on vacancy formation and antisite defect diffusion in palladium and vanadium metals. Comput. Mater. Sci. 197, 110641 &#10;                https:\/\/doi.org\/10.1016\/j.commatsci.2021.110641&#10;                &#10;               (2021).\" href=\"#ref-CR48\" id=\"ref-link-section-d11090949e2692\">48<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" title=\"Counts, W. A., Wolverton, C. &amp; Gibala, R. First-principles energetics of hydrogen traps in &#x3B1;-Fe: point defects. Acta Mater. 58, 4730&#x2013;4741 &#10;                https:\/\/doi.org\/10.1016\/j.actamat.2010.05.010&#10;                &#10;               (2010).\" href=\"#ref-CR49\" id=\"ref-link-section-d11090949e2692_1\">49<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 50\" title=\"Jiang, D. E. &amp; Carter, E. A. Diffusion of interstitial hydrogen into and through bcc Fe from first principles. Phys. Rev. B 70, 064102 &#010;                https:\/\/doi.org\/10.1103\/PhysRevB.70.064102&#010;                &#010;               (2004).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR50\" id=\"ref-link-section-d11090949e2695\" rel=\"nofollow noopener\" target=\"_blank\">50<\/a>. Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">10<\/a> illustrates the comparison of energy results with and without ZPE and entropy corrections. The energy slightly increases after ZPE correction is applied and the increase of tet sites is marginally larger than the oct sites for CoCrNi and Ni3(Al,\u2009Ti). The energy increases further with more entropy corrections for all three alloys. It can be seen that the ZPE and entropy corrections exert no notable influence on the energy comparison.<\/p>\n<p>Isotopic effect was also considered for these alloys (CoCrNi, L12 Ni3(Al,\u2009Ti) and D022 Ni3Nb). H atom was substituted by D atom and the calculated results are shown in Supplementary Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">11<\/a>. Replacing H with D exerts a negligible influence on the solution energies for all three phases. The energy slightly increases with the ZPE correction, which is similar to the case for H. However, the general trend of energy comparison is insensitive to isotopic effects. The diffusion of H\/D atoms within the three phases (CoCrNi, L12 Ni3(Al,\u2009Ti) and D022 Ni3Nb) was investigated using the climbing-image nudged elastic band method. As shown in Extended Data Fig.\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"figure anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#Fig14\" rel=\"nofollow noopener\" target=\"_blank\">10<\/a>, the diffusion barriers of H and D in the three phases are similar to each other. After applying the corrections, the saddle points of the diffusion curves of all three phases (CoCrNi, L12 Ni3(Al,\u2009Ti) and D022 Ni3Nb) shift upward slightly, with minor differences observed between H and D. The general energetic trend remains the same after the corrections.<\/p>\n<p>Quasi in situ TEM observation during electrochemical deuterium charging<\/p>\n<p>Electropolished TEM foils of the aged (CoCrNi)94Al3Ti3 alloy were used for quasi in situ D-charging experiments. Before charging, specific regions containing L12 precipitates were identified and characterized using bright-field TEM, high-angle annular dark-field scanning transmission electron microscopy (HAADF-STEM), selected-area electron diffraction (SAED) and HRTEM. The specimen was then electrochemically charged in 0.1\u2009M NaOH prepared in D2O using a gold anode. A charging time of 1.5\u2009min and the charging conditions used are the same as cryogenic APT experiments.<\/p>\n<p>After charging, the specimen was removed from the electrolyte, dried and re-examined by TEM. The same regions and individual precipitates were relocated and compared with their former states. SAED and HRTEM analyses were performed after charging to assess whether D-charging introduced crystalline defects, including stacking faults, dislocations or other lattice defects.<\/p>\n<p>Ion irradiation and positron annihilation spectroscopy<\/p>\n<p>Ion irradiation was performed using a NEC 2\u2009\u00d7\u20091.7\u00a0MV tandem accelerator at Peking University. The (CoCrNi)94Al3Ti3 specimen (10\u00a0\u00d7\u00a010\u00a0\u00d7\u00a00.9\u2009mm3) was irradiated with 3\u2009MeV Ni2+ ions to a fluence of 1.5\u2009\u00d7\u20091016\u2009ions\u2009cm\u22122 at 500\u2009\u00b0C, corresponding to a peak damage level of approximately 16\u2009dpa, as calculated by SRIM-2013 using the quick Kinchin\u2013Pease model. The displacement threshold energies used in the SRIM calculations were 40\u2009eV for Co, Cr, Ni and Ti and 25\u2009eV for Al. To minimize oxidation and other possible surface contamination during high-temperature irradiation, the target chamber was evacuated to a pressure below 1\u2009\u00d7\u200910\u22124\u2009Pa before heating and irradiation were initiated. After irradiation, the specimen was kept under vacuum during cooling and removed from the chamber only after the temperature had decreased to less than 50\u2009\u00b0C.<\/p>\n<p>Positron annihilation lifetime spectroscopy was performed using a 22Na positron source to complement the Doppler-broadening measurements and assess vacancy-type defects in the investigated alloys, corresponding to Supplementary Table\u2009<a data-track=\"click\" data-track-label=\"link\" data-track-action=\"supplementary material anchor\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#MOESM1\" rel=\"nofollow noopener\" target=\"_blank\">1<\/a>. Vacancy-type defects introduced by hydrogen charging, performed under the same conditions as those used for the cryogenic APT experiments, and by ion irradiation were characterized by Doppler-broadening positron annihilation spectroscopy using a slow positron beam<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 51\" title=\"Li, C. et al. Implantation profiles and depth distribution of slow positron beam simulated by Geant4 toolkit. Phys. Scr. 94, 045301 &#010;                https:\/\/doi.org\/10.1088\/1402-4896\/aafaa2&#010;                &#010;               (2019).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR51\" id=\"ref-link-section-d11090949e2792\" rel=\"nofollow noopener\" target=\"_blank\">51<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 52\" title=\"Yu, R. S., Maekawa, M., Kawasuso, A., Wang, B. Y. &amp; Wei, L. Positron annihilation study of 4H-SiC by Ge+ implantation and subsequent thermal annealing. Nucl. Instrum. Methods Phys. Res. B 270, 47&#x2013;49 &#010;                https:\/\/doi.org\/10.1016\/j.nimb.2011.10.006&#010;                &#010;               (2012).\" href=\"http:\/\/www.nature.com\/articles\/s41586-026-11238-4#ref-CR52\" id=\"ref-link-section-d11090949e2795\" rel=\"nofollow noopener\" target=\"_blank\">52<\/a> at the Institute of High Energy Physics, Chinese Academy of Sciences. A 22Na radioactive source was used to produce the positron beam, with a beam diameter of approximately 0.55\u2009cm. To minimize specimen-to-specimen variability, Doppler-broadening positron annihilation spectroscopy measurements were performed sequentially on the same specimen in the pristine state, after electrochemical hydrogen charging and after subsequent Ni-ion irradiation. The incident positron energy varied from 0.5 to 25.0\u2009keV. The corresponding mean positron implantation depth ranged from approximately 1.5 to 804.0\u2009nm (corresponding to the irradiated region spanning approximately 5.8\u201315.3\u2009dpa), as estimated using the empirical relation:<\/p>\n<p>$$Z=\\frac{40}{\\rho }{E}^{1.6}$$<\/p>\n<p>\n                    (4)\n                <\/p>\n<p>in which Z is the mean positron implantation depth in nm, \u03c1 is the mass density of the target material in g\u2009cm\u22123 and E is the incident positron energy in keV. A density of 8.58\u2009g\u2009cm\u22123 was used for the (CoCrNi)94Al3Ti3 alloy. Positron annihilation \u03b3-ray spectra were recorded using a high-purity Ge detector. For each spectrum, more than 4.5\u2009\u00d7\u2009105 counts were accumulated within the 499.5\u2013522.5\u00a0keV annihilation peak. The Doppler-broadening spectra were analysed using the S and W parameters, which represent positron annihilation with low-momentum valence electrons and high-momentum core electrons, respectively. The annihilation peak was integrated over the energy range 499.5\u2013522.5\u2009keV. The S parameter was defined as the ratio of the counts in the central energy window of 510.2\u2013511.8\u2009keV to the total counts in the 499.5\u2013522.5\u00a0keV annihilation peak. The W parameter was defined as the ratio of the counts in the high-momentum wing regions of 505.1\u2013508.4\u2009keV and 513.6\u2013516.9\u2009keV to the total counts in the 499.5\u2013522.5\u00a0keV annihilation peak. An increase in S accompanied by a decrease in W indicates enhanced positron trapping at vacancy-type open-volume defects.<\/p>\n","protected":false},"excerpt":{"rendered":"Materials The ingot of CoCrNiFeMn high-entropy alloy was prepared by vacuum arc melting a mixture of pure elements&hellip;\n","protected":false},"author":2,"featured_media":906788,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[32],"tags":[15877,1159,107095,1160,79],"class_list":["post-906787","post","type-post","status-publish","format-standard","has-post-thumbnail","category-science","tag-characterization-and-analytical-techniques","tag-humanities-and-social-sciences","tag-metals-and-alloys","tag-multidisciplinary","tag-science"],"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts\/906787","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/comments?post=906787"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/posts\/906787\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/media\/906788"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/media?parent=906787"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/categories?post=906787"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/us\/wp-json\/wp\/v2\/tags?post=906787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}