phenomenon · claim-type · cross-domain-transfer · mechanism · claim-relation · replication-status · limitation — grounded in the full text| phenomenon | entropy stabilisation of a single solid-solution phase against decomposition into separate compounds— “In an HEA, the configurational entropy of a solid-solution phase is maximized to stabilize it against the formation of intermetallics. Typically, five or more elements can be mixed in a HEA in equimolar concentrations to produce a maximum molar configurational entropy of ΔSmix = RlnN, where N is the number of equimolar components and R is the… | |
| claim-type | existence— “To synthesize high-entropy metal diborides, five commercial metal diboride powders of equimolar amounts were mixed and mechanically alloyed via high energy ball milling (HEBM) for six hours; subsequently, the HEBM powders were compacted into disks of 20-mm diameter and densified utilizing spark plasmas sintering (SPS) at 2000 °C for 5 minutes… | |
| method — evidence | — “To synthesize high-entropy metal diborides, five commercial metal diboride powders of equimolar amounts were mixed and mechanically alloyed via high energy ball milling (HEBM) for six hours; subsequently, the HEBM powders were compacted into disks of 20-mm diameter and densified utilizing spark plasmas sintering (SPS) at 2000 °C for 5 minutes… | |
| object of study — evidence | — “To synthesize high-entropy metal diborides, five commercial metal diboride powders of equimolar amounts were mixed and mechanically alloyed via high energy ball milling (HEBM) for six hours; subsequently, the HEBM powders were compacted into disks of 20-mm diameter and densified utilizing spark plasmas sintering (SPS) at 2000 °C for 5 minutes… | |
| research question — evidence | — “Prior studies suggested, mostly based on empirical observations, that a necessary (but not sufficient) criterion for forming a single-phase (disordered) HEA is that the computed δ of the solid solution should be sufficiently small: δ ≤ δmax ≈ 4% or 4.3%.” | |
| contribution — evidence | — “This work has greatly extended the knowledge of high-entropy materials, not only since it is the first time crystalline high-entropy non-oxide ceramics (specifically borides) have been synthesized, but also because these high-entropy metal diborides exhibit a unique layered hexagonal crystal structure with alternating rigid two-dimensional… | |
| transfer | from metallurgy: the Hume-Rothery binary solid-solution size rule, carried from alloy metallurgy into multicomponent ceramics and then re-measured— “The original Hume-Rothery solid-solution rule suggests that (rsolute−rsolvent)/rsolvent ≤ 15% is one of the necessary conditions for forming a binary solid solution.” | transfers[0] |
| mechanism | entropy stabilisation because Gibbs free energy is H minus TS, a phase with large S becomes more stable as temperature rises, so a maximally mixed solid solution can win over separate compounds at high temperature— “Since the minimization of Gibbs free energy (G = H−TS, where H is enthalpy, S is entropy, and T is temperature) dictates the thermodynamic stability of a material at a constant pressure, a high-entropy material (with large S) can be thermodynamically more stable (particularly) at high temperatures, motivating this study to explore the phase… | mechanisms[0] |
| mechanism | boron-net constraint on metal-metal bonds the rigid 2D boron net deforms the metal cations toward a strain-free spacing in the basal plane, which compresses the size differences along a and leaves the c-axis free to express them— “Interestingly, the computed δa values are small (in the range of 1.3% to 2.3% for all seven specimens) because the M-M bonds are strained by the rigid boron net (that can deform metal cations and M-M bond lengths towards an ideal “strain-free” value dictated by stronger B-B bonds; Fig. 1). Thus, the computed δc values may better represent the… | mechanisms[1] |
| contradicts | the delta <= 4% size-difference criterion for forming a single-phase high-entropy solid solution— “By simply plugging the values of metallic or covalent radii of the metals, and the computed δ values are in the range of 3.5% to ~8% (Table S-I in the Supplementary Material); specifically, HEB #7 has the highest δ ≈ 8%; yet, it still forms single-phase, high-entropy, solid solution.” | claim_relations[0] |
| extends | Rost et al.'s entropy-stabilized oxide, the only previously reported crystalline high-entropy ceramic— “To the best of our knowledge, this class of entropy-stabilized oxides and its derivatives represent the first and only crystalline high-entropy ceramics that have been reported to date.” | claim_relations[1] |
| sense | HEA = typically five or more elements in equimolar concentration, giving maximum molar configurational entropy RlnN— “In an HEA, the configurational entropy of a solid-solution phase is maximized to stabilize it against the formation of intermetallics. Typically, five or more elements can be mixed in a HEA in equimolar concentrations to produce a maximum molar configurational entropy of ΔSmix =… | senses[0] |
| sense | 'high-entropy material' HAS A CONTESTED SCOPE - glasses count only 'in a broad definition', said in parentheses Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[1] |
| sense | delta <= 4% or 4.3% = a NECESSARY BUT NOT SUFFICIENT criterion, and it is empirical, not derived Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[2] |
| sense | the same delta, recomputed from LATTICE CONSTANTS instead of atomic radii, because no radius represents the real bond lengths Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[3] |
| sense | 'only one necessary, but not essential, condition' - the authors' own hedge on their replacement Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[4] |
| sense | delta-c is the discriminating one and delta-a is not, because the boron net constrains the a-axis Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | senses[5] |
| control | six individual metal diborides fabricated by the identical milling and sintering route, as the comparison group — held Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. — rules out a high-entropy advantage produced by the fabrication route rather than by the composition, since the comparison specimens were milled and sintered identically Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | controls[0] |
| control | porosity and oxide inclusion held constant between the high-entropy and conventional specimens rather than eliminated — held Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. — rules out hardness and oxidation differences being attributed to composition when microstructure - porosity, oxide inclusions - affects both significantly Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | controls[1] |
| control | MoB2 excluded from the rule-of-mixtures average, with the direction of the resulting bias stated — held Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. — rules out a rule-of-mixtures baseline inflated by a phase that is not an equilibrium bulk phase at the temperature in question Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | controls[2] |
| control | weight-change data outside the two temperature windows where the change exceeds measurement error — absent-declared-unreported Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. — rules out measurement error masquerading as oxidation - the weights are reported only in the two temperature windows where the change is large enough to exceed it, and not outside them Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | controls[3] |
| note | the delta <= 4% size-difference criterion for forming a single-phase high-entropy solid solution — HEB #7 has delta about 8%, double the stated maximum, and forms a single high-entropy phase anyway - so the criterion fails as a NECESSARY condition, which is the only thing it was ever claimed to be Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[0] |
| weight | the delta <= 4% size-difference criterion for forming a single-phase high-entropy solid solution — 0.95 Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[0] |
| note | Rost et al.'s entropy-stabilized oxide, the only previously reported crystalline high-entropy ceramic — extends the class from oxides to borides and from cubic to layered hexagonal Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[1] |
| weight | Rost et al.'s entropy-stabilized oxide, the only previously reported crystalline high-entropy ceramic — 0.95 Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | claim_relations[1] |
| effect direction | configurational entropy —causes→ solid-solution phase — increases Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[0] |
| weight | configurational entropy —causes→ solid-solution phase — 0.95 Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concept_edges[0] |
| outcome | control — held Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | controls[0] |
| outcome | control — held Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | controls[1] |
| outcome | control — held Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | controls[2] |
| outcome | control — absent-declared-unreported Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | controls[3] |
| limitation | a small size difference is necessary but not essential, and a very small value is not a guarantee of a single high-entropy phase Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[0] |
| limitation | size differences are not the only factors - mixing enthalpy and valence electron concentration may also decide whether a single phase forms Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[1] |
| limitation | hardness and oxidation resistance are strongly affected by the porosity and oxide inclusions that this fabrication route introduces Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[2] |
| limitation | whether these materials are good or bad for oxidation resistance has no simple answer, and systematic property investigation is outside this study Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[3] |
| limitation | one of the seven compositions did not form a single phase, and the reason is not settled Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | limitations[4] |
finding · quantity · variable · definition · key-term — grounded in the full text| finding | the inherited size-difference criterion fails: the specimen with the largest atomic-radius delta still forms a single high-entropy phase Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[0] |
| finding | delta computed from the c lattice constant separates the six single-phase specimens from the one that failed, where the atomic-radius delta does not Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[1] |
| finding | a smaller delta-c appears to matter more than a smaller delta-a Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[2] |
| finding | STEM imaging confirms 2D high-entropy metal layers with no layered segregation along the c-axis Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[3] |
| finding | hardness and oxidation resistance exceed the average of the individual diborides made the same way, with porosity working against them Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.findings[4] |
| quantity | five or more elements, equimolar, for maximum configurational entropy — Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[0] |
| quantity | the inherited threshold: delta at most about 4% or 4.3% — Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[1] |
| quantity | computed delta values of 3.5% to about 8%, with the 8% specimen still forming a single phase — Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[2] |
| quantity | delta-c 3.9% to 5.2% for the six that worked, 6.2% for the one that did not — Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[3] |
| quantity | sintered at 2000 degrees C for 5 minutes under 30 MPa — Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[4] |
| quantity | lattice-spacing standard deviation of about 0.6% of the c parameter — Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.quantities[5] |
| variable | hardness Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.variables[0] |
| variable | oxidation resistance Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.variables[1] |
| definition | HEA Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.definitions[0] |
| definition | configurational entropy Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.definitions[1] |
| definition | ultra-high temperature ceramics Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.definitions[2] |
| concept | HEA — not defined in this paper's own words; high entropy alloy: five or more elements, equimolar, maximising configurational entropy Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[0] |
| concept | configurational entropy — not defined in this paper's own words; maximised to stabilise a solid solution against forming intermetallics; RlnN at equimolarity Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[1] |
| concept | solid-solution phase — not defined in this paper's own words; the single mixed phase whose formation is the paper's success criterion Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[2] |
| concept | Hume-Rothery — not defined in this paper's own words; the inherited binary size rule, 15%, that the multicomponent criterion descends from Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[3] |
| concept | ultra-high temperature ceramics — not defined in this paper's own words; the second class these materials are claimed to join Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[4] |
| concept | entropy-stabilized oxides — not defined in this paper's own words; the only prior crystalline high-entropy ceramic, and cubic where these are not Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[5] |
| concept | high-entropy metal diborides — not defined in this paper's own words; this paper's new class: layered hexagonal, quasi-2D, non-oxide Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[6] |
| concept | boron nets — not defined in this paper's own words; the rigid 2D layers that strain the metal-metal bonds and make atomic radii the wrong measurand Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[7] |
| concept | spark plasma sintering — not defined in this paper's own words; 2000 degrees C, 5 minutes, 30 MPa - and identical for every specimen compared Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | concepts[8] |
| standard deviations of lattice spacings between basal planes | Quotation withheld — this paper is not ours to reproduce, and the page has already quoted as much of it as the rights layer allows. The tag, its field and its confidence stand; the sentence is at the publisher. | content_tags.statistics[0] |
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