Computational Modelling — Hydrogenic Defects in Ferromagnetic Cu3(HITP)2 (HITP ≡ 2,3,6,7,10,11-Hexaiminotriphenylene), a 2D Metal-Organic Framework

Measurement evidence

Computational Modelling

Hydrogenic Defects in Ferromagnetic Cu3(HITP)2 (HITP ≡ 2,3,6,7,10,11-Hexaiminotriphenylene), a 2D Metal-Organic Framework · Debela T.T., Hendon C.H. · ACS Materials Letters · 2024 · 2698-2702

11 measurement groups · 24 results

Reported values remain attached to the sample, method, conditions, extraction quality and source location that produced them.

Bader charge analysis and optimised local structure comparison.

Cu3(HITP)2 with neutral interstitial H* · Model

N-donor Bader charges and Cu-N bond lengths read from Figure 3 for single interstitial H charge states q = 0, +1 and -1; pristine no-H reference reported in caption.

Atmosphere
not_applicable
Geometry
local defect environment in monolayer model
Context
defective model with pristine reference
Measurement source
main p.4, article p.2701 · Results and discussion · Figure 3
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
H- interstitial N-site Bader charges1.28, 1.34, 1.34, 1.28 eFigure Axis
Exact Reported
main p.4, article p.2701 · Figure 3 · Figure 3c
Single H* interstitial N-site Bader charges1.24, 1.31, 1.33, 1.29 eFigure Axis
Exact Reported
main p.4, article p.2701 · Figure 3 · Figure 3a
H+ interstitial N-site Bader charges1.27, 1.32, 1.29, 1.29 eFigure Axis
Exact Reported
main p.4, article p.2701 · Figure 3 · Figure 3b
Pristine N-site Bader charge1.29 for all N sites1.29 eCaption
Exact Reported
main p.4, article p.2701 · Figure caption · Figure 3

HSEsol electronic band-structure calculation.

Cu3(HITP)2 with two neutral interstitial H* defects · Model

Defective monolayer Cu3(HITP)2 containing 2H* interstitials.

Atmosphere
not_applicable
Geometry
periodic monolayer model
Context
defective model
Measurement source
main p.3, article p.2700 · Results and discussion · Figure 2d
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Band gap of Cu3(HITP)2 with 2H* interstitialsMarked as a best value within this paper0.71 eV0.71 eVCaption
Exact Reported
main p.3, article p.2700 · Figure caption; Results and discussion · Figure 2d

HSEsol electronic band-structure calculation.

Cu3(HITP)2 with interstitial H- · Model

Single H- interstitial in Cu3(HITP)2.

Atmosphere
not_applicable
Geometry
periodic monolayer model
Context
defective model
Measurement source
main p.4, article p.2701 · Results and discussion · Figure 3c
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Band gap of Cu3(HITP)2 with H- interstitial0.4 eV0.4 eVText
Rounded Reported
main p.4, article p.2701 · Results and discussion · Figure 3c

HSEsol electronic band-structure calculation.

Cu3(HITP)2 with neutral interstitial H* · Model

Single neutral H* interstitial in Cu3(HITP)2.

Atmosphere
not_applicable
Geometry
periodic monolayer model
Context
defective model
Measurement source
main p.3-4, article pp.2700-2701 · Results and discussion · Figure 3a
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Band gap of Cu3(HITP)2 with single neutral H* interstitial0.27 eV at the M point0.27 eVText
Exact Reported
main p.3-4, article pp.2700-2701 · Results and discussion · Figure 3a

HSEsol electronic band-structure calculation.

Cu3(HITP)2 with interstitial H+ · Model

Single H+ interstitial in Cu3(HITP)2.

Atmosphere
not_applicable
Geometry
periodic monolayer model
Context
defective model
Measurement source
main p.4, article p.2701 · Results and discussion · Figure 3b
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Band gap of Cu3(HITP)2 with H+ interstitial0.26 eV0.26 eVText
Exact Reported
main p.4, article p.2701 · Results and discussion · Figure 3b

HSEsol electronic band-structure calculation.

Pristine monolayer Cu3(HITP)2 computational cell · Model

Band structure sampled along Gamma, M and K k-vectors of the irreducible Brillouin zone.

Atmosphere
not_applicable
Geometry
periodic monolayer model
Context
pristine model
Measurement source
main p.2, article p.2699 · Results and discussion · Figure 1c,d
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Pristine Cu3(HITP)2 monolayer band gapMarked as a best value within this paper0.39 eV0.39 eVText
Exact Reported
main p.2, article p.2699 · Results and discussion · Figure 1
Cu-centred occupied d bands relative to Fermi level-4 eV from EF-4 eVText
Rounded Reported
main p.2, article p.2699 · Results and discussion · Figure 1d
Unoccupied Cu d state above Fermi level~2 eV above the Fermi level2 eVText
Approximate
main p.3, article p.2700 · Results and discussion · Figure 1

Charged-defect formation-energy calculation with FNV finite-size correction.

Cu3(HITP)2 with two neutral interstitial H* defects · Model

Two neutral interstitial hydrogen atoms, one per linker, compared under hydrogen-rich and hydrogen-poor limits.

Atmosphere
not_applicable
Geometry
periodic monolayer point-defect model
Context
defective model
Measurement source
main p.3, article p.2700 · Results and discussion · Figure 2
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Approximate 2H* formation energy under H-poor conditionsMarked as a best value within this paperapproximately -0.85 eV from Figure 2c-0.85 eVvisual estimate from axisFigure Axis
Approximate
main p.3, article p.2700 · Results and discussion · Figure 2c
Approximate 2H* formation energy under H-rich conditionsMarked as a best value within this paperapproximately -1.85 eV from Figure 2b-1.85 eVvisual estimate from axisFigure Axis
Approximate
main p.3, article p.2700 · Results and discussion · Figure 2b
2H* interstitial relative favourabilityMarked as a best value within this papermost negative formation energiesText
Qualitative
main p.3, article p.2700 · Results and discussion · Figure 2

Charged-defect formation-energy calculation with FNV finite-size correction.

Cu3(HITP)2 with neutral interstitial H* · Model

Single interstitial hydrogen charge states H+, H* and H- under hydrogen-rich and hydrogen-poor conditions; chemical potentials from ref. 26.

Atmosphere
not_applicable
Geometry
periodic monolayer point-defect model
Context
defective model
Measurement source
main p.3, article p.2700 · Results and discussion · Figure 2b,c
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Single interstitial hydrogen formation energiesvery low for all charge statesText
Qualitative
main p.3, article p.2700 · Results and discussion · Figure 2b,c
Approximate neutral Hi formation energy under H-poor conditionsapproximately -0.4 eV from Figure 2c plateau-0.4 eVvisual estimate from axisFigure Axis
Approximate
main p.3, article p.2700 · Results and discussion · Figure 2c
Approximate neutral Hi formation energy under H-rich conditionsapproximately -1.1 eV from Figure 2b plateau-1.1 eVvisual estimate from axisFigure Axis
Approximate
main p.3, article p.2700 · Results and discussion · Figure 2b

Charged-defect formation-energy calculation with FNV finite-size correction.

Hydrogen-vacancy Cu3(HITP)2 model · Model

Hydrogen-vacancy charge states q = -1, 0 and +1 under hydrogen-rich and hydrogen-poor conditions; chemical potentials from ref. 26.

Atmosphere
not_applicable
Geometry
periodic monolayer point-defect model
Context
defective model
Measurement source
main p.2-3, article pp.2699-2700 · Computational details; Results and discussion · Figure 2b,c
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Hydrogen vacancy q = -1 formation energy range~2.5 to 3.0 eVrange 2.5-3.0 eVText
Range
main p.3, article p.2700 · Results and discussion · Figure 2b,c
Neutral hydrogen vacancy formation energy rangeEf = 1.6-2 eVrange 1.6-2 eVText
Range
main p.3, article p.2700 · Results and discussion · Figure 2b,c

Spin-polarised DFT in VASP; PAW; HSEsol/HSE06 with PBEsol; geometry optimisation and electronic structure.

Pristine monolayer Cu3(HITP)2 computational cell · Model

Plane-wave cutoff 500 eV; Gamma-centred 2 x 2 x 1 k-point mesh; 20 Angstrom z-direction vacuum; force convergence <0.01 eV/Angstrom; final energy change <1e-6 eV per atom.

Atmosphere
not_applicable
Geometry
periodic monolayer supercell
Context
pristine model host
Measurement source
main p.2, article p.2699 · Computational details
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Plane-wave kinetic energy cutoff500 eV500 eVText
Exact Reported
main p.2, article p.2699 · Computational details
Geometry-optimisation force convergence threshold<0.01 eV/Angstrom0.01 eV/AngstromText
Exact Reported
main p.2, article p.2699 · Computational details
Vacuum spacing perpendicular to layer20 Angstrom20 AngstromText
Exact Reported
main p.2, article p.2699 · Computational details

2 x 2 supercell magnetic-ordering comparison.

Pristine monolayer Cu3(HITP)2 computational cell · Model

Ferromagnetic and antiferromagnetic d-electron configurations compared before enforcing ferromagnetic order in the three-Cu unit cell.

Atmosphere
not_applicable
Geometry
2 x 2 monolayer supercell
Context
pristine model
Measurement source
main p.3, article p.2700 · Results and discussion
PropertyReported valueNormalised valueUncertaintyOrigin and qualitySource
Ferromagnetic ordering favourability with interstitial H charge states0.01 eV0.01 eVText
Exact Reported
main p.3, article p.2700 · Results and discussion
Ferromagnetic stabilisation relative to antiferromagnetic analogueMarked as a best value within this paper0.01 eV more stable0.01 eVText
Exact Reported
main p.3, article p.2700 · Results and discussion