2.1. Gas Adsorption/Separation/Storage for Energy and Environmental Applications

MOFs have been extensively studied for applications in gas storage. For example, H

₂

 and CH

₄

 represent alternative energy resources for future vehicles, and their effective usage still remains a challenge for the automotive industry. The capture of toxic industrial gases, such as NH

₃

 and H

₂

S, and volatile hydrocarbons, like benzene, as well as the removal of SO

₂

 and NO

_x

 from flue gas, are of great importance for environmental protection. A very critical step in the chemical industry is the separation of mixtures of gases, such as CO

₂

 capture and CO

₂

/CH

₄

, CO

₂

/N

₂

 separation, O

₂

 purification, and so on.

CO

₂

 is the main greenhouse gas and is responsible for global warming and for water acidification. MOF-74-Mg, which is the magnesium analogue of MOF-74, shows the highest CO

₂

 uptake capacity of 228 and 180 cm

³

·g

⁻¹

 at 273 and 298 K and 1 bar, respectively (

Figure 1) ^[14]. The exceptional CO

2) [57]. The exceptional CO

₂

 uptake by MOF-74-Mg is attributed to the increased ionic character of the Mg-O bond, which imparts additional uptake beyond weight effects while maintaining the reversibility of adsorption. MOF-210 has a very high surface area of 10,450 m

²

·g

⁻¹

 and shows a CO

₂

 uptake value of 2400 mg·g

⁻¹ (74.2 wt %, 50 bar at 298 K), which is larger than that of MOF-177 or MIL-101(Cr) (60 wt % and 56.9 wt %, respectively) ^[15][16][17]. MOF-200 has a similar CO

 (74.2 wt %, 50 bar at 298 K), which is larger than that of MOF-177 or MIL-101(Cr) (60 wt % and 56.9 wt %, respectively) [58,59,60]. MOF-200 has a similar CO

₂

 uptake as MOF-210 under similar conditions. Other MOFs, which show considerably higher CO

₂

 uptake compared with other solid materials, are the NU-100 (69.8 wt %, 40 bar at 298 K), the MOF-5 (58 wt %, 10 bar at 273 K), and the HKUST-1 (19.8 wt %, 1 bar at 298 K).

Figure 12.

 (

a

) The 1D channels of MOF-74-Mg, Mg-DOBDC (solvents omitted). (

b

) Space-filling model of the pore structure of MOF-74-Mg (Mg, green. C, grey. O, red). (

c

) PXRD data for the isostructural MOFs M-DOBDC (M = Zn, Co, Mg, Ni). (

d

) CO

₂

 sorption isotherm (296K, 0 to 1 atm) of the isostructural MOFs M-DOBDC (inset: CO

₂ sorption isotherms at 296 K, 0 to 0.1 atm). Reprinted with permission from J. Am. Chem. Soc. 2008, 130, 10870–10871 (^[14]). Copyright 2008 American Chemical Society.

 sorption isotherms at 296 K, 0 to 0.1 atm). Reprinted with permission from J. Am. Chem. Soc. 2008, 130, 10870–10871 ([57]). Copyright 2008 American Chemical Society.

Synthetic strategies for the preparation of MOFs with efficient CO

₂

 uptake capacity have been developed and include amine incorporation, introduction of functional groups, and additional metal ions and control of pore size. The method used in the industry for CO

₂

 separation is the amine scrubbing, which is high-energy consuming and presents disadvantages, such as amine degradation and equipment corrosion. Alternatively, MOFs incorporating amines have been examined as potential candidates for CO

₂

 separation. For example, incorporation of 

N

,

N

′-dimethylethylenediamine (mmen) within the [Mg

₂

(dobpdc)] MOF (dobpdc

⁴⁻

 = 4,4′-dioxido-3,3′-biphenyldicarboxylate) afforded [mmen-Mg

₂

(dobpdc)], which displays an exceptional capacity for CO

₂

 adsorption at low pressures, 2.0 mmol·g

⁻¹

 (8.1 wt %) at 0.39 mbar, and 25 °C and 3.14 mmol·g

⁻¹

 (12.1 wt %) at 0.15 bar and 40 °C, at conditions relevant to removal of CO

₂ from air and flue gas, respectively ^[18]. In addition, [en-Mg

 from air and flue gas, respectively [61]. In addition, [en-Mg

₂

(dobpdc)] and [dmen-Mg

₂

(dobpdc)] (en = ethylenediamine, dmen = 

N

,

N

′-dimethylethylenediamine) display significant CO

₂

 uptakes (3.63 mmol·g

⁻¹

 and 3.77 mmol·g

⁻¹, respectively) at 0.15 bar ^[19]. Bio-MOF-11, [Co

, respectively) at 0.15 bar [62]. Bio-MOF-11, [Co

₂

(ad)

₂

(CH

₃

CO

₂

)

₂

]·2dmf·0.5H

₂

O (ad

⁻

 = adeninate) contains pyrimidine and amino groups within the pores of the framework and exhibits high CO

₂

 capacity (~6 mmol·g

⁻¹

 at 273 K) and exceptional selectivity for CO

₂

 over N

₂ at 273 K (81:1) and 298 K (75:1) ^[20]. MOFs functionalized with low-molecular weight polymers containing amino groups, such as PEI (polyethyleneimine), have shown impressive CO

 at 273 K (81:1) and 298 K (75:1) [63]. MOFs functionalized with low-molecular weight polymers containing amino groups, such as PEI (polyethyleneimine), have shown impressive CO

₂

 uptake, which were many times larger than the respective MOFs. For example, PEI-MIL-101-125 display CO

₂

 uptake of 3.95 and 4.51 mmol·g

⁻¹

, respectively, over four times than that of MIL-101-125, and PEI@UiO-66 shows CO

₂

 uptake up to 1.65 mmol·g

⁻¹

 and CO

₂

/CH

₄ selectivity 111, which are much larger values than UiO-66 ^[21][22]. Yaghi and co-workers reported the functionalization of the organic ligand of IRMOF-74-III with primary amine through ligand modification, thus, yielding six analogs with different functional groups (–CH

 selectivity 111, which are much larger values than UiO-66 [64,65]. Yaghi and co-workers reported the functionalization of the organic ligand of IRMOF-74-III with primary amine through ligand modification, thus, yielding six analogs with different functional groups (–CH

₃

, –NH

₂

, –CH

₂

NHBoc, –CH

₂

NMeBoc, –CH

₂

NH

₂

, and –CH

₂

NHMe). Spectroscopic data revealed that CO

₂

 binds chemically to IRMOF-74-III-CH

₂

NH

₂

 and IRMOF-74-III-CH

₂

NHMe to form carbamic species. The CO

₂

 uptake of IRMOF-74-III-CH

₂

NH

₂

 is 3.2 mmol·g

⁻¹ at 800 Torr and 298 K ^[23]. Introduction of polar functional groups in the pores of MOFs through direct synthesis or post-synthesis modification was proved an efficient method to enhance the adsorption capacity and selectivity of CO

 at 800 Torr and 298 K [66]. Introduction of polar functional groups in the pores of MOFs through direct synthesis or post-synthesis modification was proved an efficient method to enhance the adsorption capacity and selectivity of CO

₂

. For example, UPC-12 exhibits high selectivity for CO

₂

 due to the formation of H-bonds between the CO

₂

 molecules and the -COOH groups within the pores and the π–π stacking interactions between the CO

₂ molecules and the bpy moieties of the MOF ^[24]. NbO-type MOFs retain the NbO-type structure upon functionalization with different groups, such as amide, nitro groups, and N-heterocycles, and display higher CO

 molecules and the bpy moieties of the MOF [67]. NbO-type MOFs retain the NbO-type structure upon functionalization with different groups, such as amide, nitro groups, and N-heterocycles, and display higher CO

₂ uptake than the parent MOFs ^{[25][26][27][28][29]}. Ligand functionalized UiO-66, UiO-66(Zr)-(COOH)

 uptake than the parent MOFs [68,69,70,71,72]. Ligand functionalized UiO-66, UiO-66(Zr)-(COOH)

₂

 shows high CO

₂

/N

₂

 selectivity of 56 upon a 15/85 CO

₂

/N

₂

 gas mixture at 303 K and 1 bar, and UiO-67 functionalized BUT-10 and BUT-11 show enhanced CO

₂

 adsorption uptakes (50.6 and 53.5 cm

³

·g

⁻¹

, respectively) and separation selectivity over N

₂

 and CH

₄

 (18.6 and 31.5 for a 15/85 CO

₂

/N

₂

 gas mixture, and 5.1 and 9.0 for a 10/90 CO

₂

/CH

₄ gas mixture) ^[30][31]. The control of the pore size of the MOFs allows inclusion of smaller guests (e.g., CO

 gas mixture) [73,74]. The control of the pore size of the MOFs allows inclusion of smaller guests (e.g., CO

₂

 3.30 Å) and enables ultra-high selectivity. However, the precise control of pores with a size of 3–4 Å is very difficult. Examples of isoreticular MOFs, SIFSIX-2-Cu, SIFSIX-2-Cu-i, SIFSIX-3-Zn, and SIFSIX-3-Cu showed more efficient CO

₂ capture for the latter, which exhibits the smallest pore size ^[32][33]. The approach of ‘Single Molecule Trap’ (SMT) for the capture of a single CO

 capture for the latter, which exhibits the smallest pore size [75,76]. The approach of ‘Single Molecule Trap’ (SMT) for the capture of a single CO

₂

 molecule was developed by Zhou and co-workers who prepared paddlewheel dicopper complexes (SMT-1-2) with intramolecular metal-metal distance of 7.4 Å, suitable for the accommodation of one CO

₂

 molecule. Incorporation of SMT-1 to the 3D framework of PCN-88 enhanced the CO

₂

 uptake to 4.20 mmol·g

⁻¹

 at 296 K and 1 bar with respect to 0.63 mmol·g

⁻¹ for SMT-1 under identical conditions ^[34]. MOFs based on heterometallic SBUs of the general formula [M

 for SMT-1 under identical conditions [77]. MOFs based on heterometallic SBUs of the general formula [M

^II₂

M

^III

(OH)(COO)

₆

], CPM-200s, display excellent CO

₂

 uptake capacity, 207.6 and 190.9 cm

³

·g

⁻¹ for CPM-200-Fe/Mg and CPM-200-In/Mg, respectively, at 273 K and 1 bar, comparable to the value of MOF-74-Mg ^[35]. Other examples of heterometallic MOFs such as MIL-101(Cr,Mg) and UiO-66(Li,Na,K,Pb) display higher CO

 for CPM-200-Fe/Mg and CPM-200-In/Mg, respectively, at 273 K and 1 bar, comparable to the value of MOF-74-Mg [78]. Other examples of heterometallic MOFs such as MIL-101(Cr,Mg) and UiO-66(Li,Na,K,Pb) display higher CO

₂ uptake with respect to the parent MOF, but is much smaller than MOF-74-Mg and CPM-200s, which hold the highest values ^{[36][37][38][39]}. The mixed-metal solid-solution MOFs [(AlOH)

 uptake with respect to the parent MOF, but is much smaller than MOF-74-Mg and CPM-200s, which hold the highest values [79,80,81,82]. The mixed-metal solid-solution MOFs [(AlOH)

_1−x

(VO)

_x

L] (

x

 = 0–1, L = 1,4-benzenedicarboxylate) display a total uptake of 11–14 mmol·g

⁻¹ at 1 bar for the low vanadium content species, which is comparable with the values found for other members of the MIL-53 family ^[40].

 at 1 bar for the low vanadium content species, which is comparable with the values found for other members of the MIL-53 family [83].

Light hydrocarbon separation is a very important and crucial process in the petroleum industry, and their efficient separation will reduce the energy consumption and cost. Ethylene (C

₂

H

₄

) and propylene (C

₃

H

₆

) are used in the production of polymers. During the production of C

₂

H

₄

, an impurity of ~1% of C

₂

H

₂

 is also produced. The microporous MOF [Cu(atbdc)] (H

₂

atbdc = 5-(5-amino-1

H

-tetrazol-1-yl)-1.3-benzenedicarboxylic acid), UTSA-100, displays high C

₂

H

₂

/C

₂

H

₄

 selectivity and high C

₂

H

₂

 uptake from mixtures containing 1% acetylene. At 296 K and 1 atm, the acetylene and ethylene uptake amount of UTSA-100 are 95.6 and 37.2 cm

³

·g

⁻¹, respectively, which is much higher than that of M’MOF-3 ^[41][42]. Other examples of MOFs exhibiting high C

, respectively, which is much higher than that of M’MOF-3 [84,85]. Other examples of MOFs exhibiting high C

₂

H

₂

 uptake are UTSA-300 (3.41 mmol·g

⁻¹ at 273 K and 1 bar) ^[43], SIFSIX-1-Cu (8.50 mmol·g

 at 273 K and 1 bar) [86], SIFSIX-1-Cu (8.50 mmol·g

⁻¹ at 298 K and 1 bar) ^[44], [Mn

 at 298 K and 1 bar) [87], [Mn

₃

(bipy)

₃

(H

₂

O)

₄

][Mn(CN)

₆

]·2(bipy)·4H

₂

O (3.2 mmol·g

⁻¹ at 27–83 K and 1 bar) ^[45], and NOTT-300 (6.34 mmol·g

 at 27–83 K and 1 bar) [88], and NOTT-300 (6.34 mmol·g

⁻¹ at 293 K and 1 bar) ^[46]. In addition, the raw propylene (C

 at 293 K and 1 bar) [89]. In addition, the raw propylene (C

₃

H

₆

) product contains trace impurity of propyne (C

₃

H

₄), which is highly undesirable. Chen and co-workers reported a flexible-robust MOF, ELM-12, which shows strong binding affinity and suitable pore confinement for propyne, and obtained propylene with a purity over 99.9998%, which is the propyne impurity removed to a concentration below 2 ppm ^[47]. The separation of C

), which is highly undesirable. Chen and co-workers reported a flexible-robust MOF, ELM-12, which shows strong binding affinity and suitable pore confinement for propyne, and obtained propylene with a purity over 99.9998%, which is the propyne impurity removed to a concentration below 2 ppm [90]. The separation of C

₂

H

₄

 and C

₃

H

₆ from their mixtures with the respective alkanes by using distillation processes shows low efficiency because of the similarity of their boiling points. Their separation can be alternatively achieved by the formation of π-complexes of olefins with transition metal cations ^[48][49], and by using MOFs, such as KAUST-7, which contains channels allowing the adsorption of C

 from their mixtures with the respective alkanes by using distillation processes shows low efficiency because of the similarity of their boiling points. Their separation can be alternatively achieved by the formation of π-complexes of olefins with transition metal cations [91,92], and by using MOFs, such as KAUST-7, which contains channels allowing the adsorption of C

₃

H

₆

 but does not permit the C

₃

H

₈ to diffuse/adsorb into the pore system ^[50][51]. Another important and difficult process in the chemical industry is the separation of benzene and cyclohexane, as well as C

 to diffuse/adsorb into the pore system [93,94]. Another important and difficult process in the chemical industry is the separation of benzene and cyclohexane, as well as C

₂

H

₂

/CO

₂ separation. Conventional distillation is high energy consuming. Therefore, alternative methods involving the use of suitable MOFs containing open metal sites, or introducing π–π stacking interactions of the π-electron deficient pore surface and π-rich guest molecules have been developed ^{[52][53][54][55]}.

 separation. Conventional distillation is high energy consuming. Therefore, alternative methods involving the use of suitable MOFs containing open metal sites, or introducing π–π stacking interactions of the π-electron deficient pore surface and π-rich guest molecules have been developed [95,96,97,98].

Alternative technologies for H

₂

 storage and its potential use as renewable fuel for vehicle applications have long explored during the early years of MOFs development. The required materials should meet the U.S. Department of Energy (DOE) requirements, which are 5.5 wt % H

₂

 gravimetric capacity achievable in the temperature range of −40 to 60 °C with a maximum pressure of 100 bar. Well-known MOFs, such as MOF-5, MOF-177, and UiO-66 display H

₂ uptake 5 wt % (77 K, 90 bar), 7.5 wt % (77 K, 80 bar), and 4.2 wt % (77 K, 60 bar), respectively ^[56][57][58]. Recent advances include the synthesis of a series of Pd-doped MIL-101 samples with different Pd content affecting their H

 uptake 5 wt % (77 K, 90 bar), 7.5 wt % (77 K, 80 bar), and 4.2 wt % (77 K, 60 bar), respectively [99,100,101]. Recent advances include the synthesis of a series of Pd-doped MIL-101 samples with different Pd content affecting their H

₂

 storage performances, Pt nanoparticles on the outer surface of MOF-5, and then coating with hydrophobic microporous carbon black (CB/Pt/MOF-5 composite), which displays 41% higher H

₂

 uptake than that of MOF-5, incorporation of polarized organic units into MOFs to improve the binding energy of H

₂

 (e.g., MOF-649 and MOF-650 with internally polarized 2,6-azulenedicarboxylate), and carbon nanodots functional MOFs, Cdots@UMCM-1a, with efficiently enhanced H

₂

 storage capacity attributed to specific interactions between the H

₂ adsorbate and polar groups on the surface of the Cdots ^{[59][60][61][62]}.

 adsorbate and polar groups on the surface of the Cdots [102,103,104,105].

Great progress has been made during recent decades on MOFs for applications on storage of CH

₄

, which is the primary component of natural gas. For vehicle applications, an ideal MOF should have both high CH

₄

 storage capacity and high CH

₄

 deliverable capacity. Promising examples, which meet the volumetric target set by DOE (263 cm

³

·cm

⁻³

 at 35 bar), are HKUST-1 with total uptake 267 and 272 cm

³

·cm

⁻³

 at 65 and 80 bar, respectively, and working capacity of 190 and 200 cm

³

·cm

⁻³

 at 65 and 80 bar, respectively, UTSA-76 with total uptake of 257 cm

³

·cm

⁻³

 at 65 bar, and working capacity of 197 cm

³

·cm

⁻³

 at 80 bar, Ni-MOF-74 with total uptake of 251 and 267 cm

³

·cm

⁻³

 at 65 and 80 bar, respectively, and working capacity of 129 and 152 cm

³

·cm

⁻³

 at 65 and 80 bar, respectively, NJZU-53 with total uptake 241 cm

³

·cm

⁻³

 at 65 bar, and working capacity of 190 cm

³

·cm

⁻³

 at 65 bar, PCN-14 with total uptake of 230 and 250 cm

³

·cm

⁻³

 at 65 and 80 bar, respectively, and working capacity of 157 and 178 cm

³

·cm

⁻³

 at 65 and 80 bar, respectively, and MOF-519 with total uptake of 279 cm

³

·cm

⁻³

 at 80 bar, and working capacity of 230 cm

³

·cm

⁻³

 at 80 bar (

Figure 2) ^{[63][64][65][66]}.

3) [106,107,108,109].

Figure 23. Methane uptake properties (green) and working capacity (red) of selected MOFs. Reprinted with permission from J. Am. Chem. Soc. 2013, 135, 11887–11894 (^[64]). Copyright 2013 American Chemical Society.

 Methane uptake properties (green) and working capacity (red) of selected MOFs. Reprinted with permission from J. Am. Chem. Soc. 2013, 135, 11887–11894 ([107]). Copyright 2013 American Chemical Society.

2.2. Sensing Applications

MOFs are especially attractive as novel sensing materials because they display a high surface area, which enhances detective sensitivity, specific structural features (open metal sites, tunable pore sizes, etc.), which promote host-guest interactions and selectivity, and flexible porosity, which enables reversible release and uptake of small molecules, cations and anions, biomolecules, and so on. The guest molecules can induce visible changes including a shift of the emission spectrum or change in the emitting color, and change in the fluorescence intensity such as ‘turn-on’ and ‘turn-off’ processes.

A thermostable Mg-based MOF, [Mg(pdda)(dmf)] (H

₂

pdda = 4,4′-(pyrazine-2,6-diyl) dibenzoic acid), which contains nanoholes and non-coordinating nitrogen atoms inside the walls of the holes, displays high selectivity for Eu

³⁺ ions at low concentrations in aqueous solutions ^[67]. A luminescent Ln-MOF, [Me

 ions at low concentrations in aqueous solutions [125]. A luminescent Ln-MOF, [Me

₂

NH

₂

][Tb(bptc)] (H

₄

bptc = 3,3′,5,5′-tetracarboxylic acid) exhibits rare chiral helical channels despite the achiral nature of the organic ligand. Luminescent studies showed highly selective fluorescence quenching response to Fe

³⁺

 ions in a liquid suspension, rendering it as a potential chemo-sensor for Fe

³⁺ ions ^[68]. A bimetallic Eu-Tb MOF with 1,4-benzenedicarboxylate ligands showed Pb

 ions [126]. A bimetallic Eu-Tb MOF with 1,4-benzenedicarboxylate ligands showed Pb

²⁺

 selectivity in polluted environmental waters. The color of the luminescent Ln-MOFs could be fine-tuned from green to red by doping the MOFs with different Tb/Eu ratios, and, in the presence of Pb

²⁺, the emission color of the MOFs changes from red-orange to green, which is visually observed by naked eyes ^[69]. A Cd-MOF, [Cd(edda)] (H

, the emission color of the MOFs changes from red-orange to green, which is visually observed by naked eyes [127]. A Cd-MOF, [Cd(edda)] (H

₄

edda = 5,5′-ethane-1,2-diylbis(oxy)]diisophthalic acid), exhibits ratiometric fluorescence response to Hg

²⁺

 for the first time with a fast response (~15 s) and especially high sensitivity of ~2 nM below the permissible limits in drinking water set by the U.S. Environmental Protection Agency. This behavior is attributed to the collapse of the crystal structure of the Cd-MOF induced by Hg

^{2+ [70]}. MOFs have been proven as very promising materials for the uranium extraction during radionuclide separation and seawater mining due to their ability for post grafting with functional groups with strong affinity for the uranium ions and porous functionalization for storage of hydrated U(IV) ions. HKUST-1, UiO-66, MILs, and ZIF-8 display stability under gamma irradiation. The phosphoryl-urea-functionalized UiO-68(Zr) MOF was the first organo-modified MOF that exhibited uranium extraction behavior. Examples of phosphonate-functionalized, amidoxime-functionalized, amine-functionalized MOFs, among others, display adsorption capacity up to 360 mg·g

 [128]. MOFs have been proven as very promising materials for the uranium extraction during radionuclide separation and seawater mining due to their ability for post grafting with functional groups with strong affinity for the uranium ions and porous functionalization for storage of hydrated U(IV) ions. HKUST-1, UiO-66, MILs, and ZIF-8 display stability under gamma irradiation. The phosphoryl-urea-functionalized UiO-68(Zr) MOF was the first organo-modified MOF that exhibited uranium extraction behavior. Examples of phosphonate-functionalized, amidoxime-functionalized, amine-functionalized MOFs, among others, display adsorption capacity up to 360 mg·g

^{−1 [71]}.

 [129].

Volatile organic molecules and explosive compounds can be efficiently detected by MOFs based on guest-dependent luminescent responses either by shifting of the emission spectrum or by changes in the luminescent intensity ^[72][73][74].

Volatile organic molecules and explosive compounds can be efficiently detected by MOFs based on guest-dependent luminescent responses either by shifting of the emission spectrum or by changes in the luminescent intensity [130,131,132].

Various anions have been successfully detected by MOF-based sensors. [Ln

₂

(bpdc)(bdc)

₂

(H

₂

O)

₂

] (Ln = Eu, Tb; H

₂

bpdc = 2,2′-bipyridine-3,3′-dicarboxylic acid) can detect F

⁻

 ions based on a significant decrease in fluorescence, and [Ln

₂

Zn(L)

₃

(H

₂

O)

₄

](NO

₃

)

₂

 (Ln = Eu, Tb; L = 4,4′-dicarboxylate-2,2′-dipyridine anion) shows high selectivity and sensitivity to I

⁻ ions ^[75][76]. An Ln-mucinate MOF shows CO

 ions [133,134]. An Ln-mucinate MOF shows CO

₃²⁻

 sensing ability through the greatest luminescence enhancement over other anions, and MOF-based thin-film show selectivity on CO

₃²⁻

 over other anions, e.g., SO

₄²⁻

, PO

₄³⁻

, ClO

₄⁻, etc., in aqueous solution through a turn-off response ^[77][78]. The highly toxic CrO

, etc., in aqueous solution through a turn-off response [135,136]. The highly toxic CrO

₄²⁻

 and Cr

₂

O

₇²⁻

 anions found in wastewater can be efficiently detected by MOFs, such as [Ln

₄

(OH)

₄

(bpdc)

₃

(bpdca)

₀

.

₅

(H

₂

O)

₆

](ClO

₄

) (Ln = Tb, Gd, bpdca

²⁻

 = biphenyl-4,4′-dicarboxylate), and [Cd(tptz)(H

₂

O)

₂

(HCOOH)(ipa)

₂

] (tptz = {4-[4-(1

H

-1,2,4-triazol-1-yl)phenyl]phenyl}-1

H-1,2,4-triazole, ipa = isophthalic acid) ^[79][80]. The cationic MOF [CuL

-1,2,4-triazole, ipa = isophthalic acid) [137,138]. The cationic MOF [CuL

₂

(H

₂

O)

₀

.

₅

](NO

₃

)

₂

 displays characteristic colors in response to specific anions, such as Cl

⁻

, Br

⁻

, I

⁻

, SCN

⁻

, and N

₃⁻

 (

Figure 3) ^[81]. The isostructural heterometallic MOFs, In/Eu-CBDA, and In/Tb-CBDA (CBDA = 5,5′-(carboxylbis(azanediyl))-diisophthalic acid) can detect 1,4-dinitrobenzene and Cr

4) [139]. The isostructural heterometallic MOFs, In/Eu-CBDA, and In/Tb-CBDA (CBDA = 5,5′-(carboxylbis(azanediyl))-diisophthalic acid) can detect 1,4-dinitrobenzene and Cr

₂

O

₇²⁻ with high selectivity and sensitivity ^[82]. ZnO quantum dots on MOF-5 is an effective fluorescent sensing platform for the phosphates tested for the assessment of phosphates in environmental aqueous samples ^[83], and CdSe/CdS/Cd

 with high selectivity and sensitivity [140]. ZnO quantum dots on MOF-5 is an effective fluorescent sensing platform for the phosphates tested for the assessment of phosphates in environmental aqueous samples [141], and CdSe/CdS/Cd

₀

.

₅

Zn

₀

.

₅S/ZnS quantum dots on MOF-5, QD@MOF-5 composite display size-selective thiol sensing ^[84].

S/ZnS quantum dots on MOF-5, QD@MOF-5 composite display size-selective thiol sensing [142].

Figure 34.

 Color change of [CuL

₂

(H

₂

O)

₀

.

₅

](NO

₃

)

₂

 (

1′) upon exchange of nitrates by the indicated anions. Chem. Commun. 2012, 48, 2946–2948 (^[81])—Reproduced by permission from The Royal Society of Chemistry.

) upon exchange of nitrates by the indicated anions. Chem. Commun. 2012, 48, 2946–2948 ([139])—Reproduced by permission from The Royal Society of Chemistry.

MOF-based sensors for humidity measurements have been studied based on changes of fluorescence or electrochemical signals, such as CuMOF, thin-film of HKUST-1, Cu-BTC film, and amine-functionalized MOF nanoparticles NH

₂-MIL-125(Ti) ^{[85][86][87][88][89]}. pH and temperature sensors based on luminescent MOFs have been extensively studied for monitoring pH changes in biological environments and for luminescent thermometers. For example, among others, [Eu

-MIL-125(Ti) [143,144,145,146,147]. pH and temperature sensors based on luminescent MOFs have been extensively studied for monitoring pH changes in biological environments and for luminescent thermometers. For example, among others, [Eu

₃

(C

₁₄

H

₆

N

₂

O

₄

)

₄

(OH)(H

₂

O)

₄

]·2H

₂

O displays a linear photoluminescence response in the 5–7.5 pH range, UiO-66-N=N-ind

_3h

 synthesized by post-synthetic modification of UiO-66-NH

₂

 exhibits pH-dependent fluorescence in the 1–12 pH range, (Tb-THBA) nanoparticles (THBA = tris[(2-hydroxy-benzoyl)-2-aminoethyl]amine) show a temperature-dependent luminescent intensity in the range of 20–65 °C, and [Zn

₃

(TDPAT)(H

₂

O)

₃] (TDPAT = 2,4,6-tris(3,5-dicarboxylphenylamino)-1,3,5-triazine) can detect a temperature from 164 to 276 K ^{[90][91][92][93]}.

] (TDPAT = 2,4,6-tris(3,5-dicarboxylphenylamino)-1,3,5-triazine) can detect a temperature from 164 to 276 K [148,149,150,151].

Core-shell nanocomposites with an MOF core have been developed for sensing biological molecules, such as human serum albumin, bacterial endospores, and cancer cell apoptosis ^[94][95][96]. Luminescent MOFs are also successful in detecting DNA, RNA, protein, and other biomolecules and present advantages over other sensing materials for biomolecules (e.g., single-walled carbon nanotubes, graphene oxide, carbon nanoparticles, gold nanoparticles), such as structural diversity, high sensitivity, and biodegradability. Biocompatibility and non-toxic metal clusters need to be developed in order for in vivo sensing to be realized ^[97].

Core-shell nanocomposites with an MOF core have been developed for sensing biological molecules, such as human serum albumin, bacterial endospores, and cancer cell apoptosis [152,153,154]. Luminescent MOFs are also successful in detecting DNA, RNA, protein, and other biomolecules and present advantages over other sensing materials for biomolecules (e.g., single-walled carbon nanotubes, graphene oxide, carbon nanoparticles, gold nanoparticles), such as structural diversity, high sensitivity, and biodegradability. Biocompatibility and non-toxic metal clusters need to be developed in order for in vivo sensing to be realized [155].

2.3. Catalytic Applications

MOFs have been extensively used as heterogeneous catalysts for the synthesis of fine chemicals, which are extremely important in the chemical industry. The properties that render MOFs suitable for heterogeneous catalysts are related to the robust nature, which is required for catalysis under extreme conditions, the porosity, and large surface area, which facilitated the catalytic activity as well as the presence of pores and channels, which are needed for catalytic selectivity and the organic ligands that can tune the catalytic reactivity and selectivity. The catalytic active sites of MOFs may be the metal nodes, the functionalized ligands, and the pores of the structure. The synthesis of fine chemicals is most commonly realized through oxidation reactions (e.g., epoxidation, sulfoxidation, aerobic oxidation), 1,3-cycloaddition reactions, transesterification reactions, C–C bond formation reactions (e.g., Heck reaction, Sonogashira coupling, and Suzuki coupling), and hydrogenation reactions of unsaturated organic molecules. The MOFs as heterogeneous catalysts may act as Lewis acids through the metal ions or metal nodes as well as the organic ligands, or as support for the moieties that carry the oxygen or the noble metals necessary for the catalytic reaction. The Zn MOF-5 was partially substituted with manganese and the bimetallic MnFe-MOF-74 was used for the epoxidation of the alkene with high selectivity (up to 99%, 

Figure 4) ^[98][99]. Composites of metal complexes immobilized on MOF can also act as Lewis acids in epoxidation reactions, such as post synthetically modified (Cr)NH

5) [166,167]. Composites of metal complexes immobilized on MOF can also act as Lewis acids in epoxidation reactions, such as post synthetically modified (Cr)NH

₂-MIL-101, post synthetically modified UiO-66 and UiO-67 with salicylaldehyde molybdenum complex, and copper functionalized UiO-66 ^{[100][101][102]}. The aerobic oxidation of alcohols to aldehydes or ketones requires the presence of noble metals inside the pores of the MOF or attachment to the modified ligands. Palladium and gold nanoparticles introduced into the nanoporous MOF are used for selective aerobic oxidation ^[103][104]. Cu-based MOFs are usually used as catalysts for 1,3-dipolar cycloaddition reactions, which is the formation of five-membered ring compounds ^[105][106]. Several examples of MOF catalysts in transesterification reactions have been reported, such as UiO-66 and UiO-67 ^[107][108]. C-C bond formation reactions such as Heck reactions, Sonogashira coupling, and Suzuki coupling are extremely important for organic synthesis and require the presence of palladium or palladium nanoparticles as catalysts, which are incorporated in the pores or are attached to the functionalized organic ligands. For example, palladium complexes, such as bis(tri(1-piperidinyl)phosphine) palladium chloride or bis(triphenylphosphine) palladium dichloride incorporated in a Ni-MOF for the Heck reaction of estragole with iodobenzene ^[109], palladium incorporated in a Zr-MOF based on 2,2′-bipyridine-5,5′-dicarboxylate ligands applied in the carbonylative Sonogashira coupling at atmospheric pressure in the presence of CO ^[110], and palladium dichloride immobilized on a mixed-ligand MOF containing bipyridyl and biphenyl moieties for Suzuki catalysis ^[111]. Palladium nanoparticles incorporated in Zr MOF-808 is an excellent heterogeneous catalyst for Heck reaction without an additional base ^[112], whereas palladium nanoclusters in NH

-MIL-101, post synthetically modified UiO-66 and UiO-67 with salicylaldehyde molybdenum complex, and copper functionalized UiO-66 [168,169,170]. The aerobic oxidation of alcohols to aldehydes or ketones requires the presence of noble metals inside the pores of the MOF or attachment to the modified ligands. Palladium and gold nanoparticles introduced into the nanoporous MOF are used for selective aerobic oxidation [171,172]. Cu-based MOFs are usually used as catalysts for 1,3-dipolar cycloaddition reactions, which is the formation of five-membered ring compounds [173,174]. Several examples of MOF catalysts in transesterification reactions have been reported, such as UiO-66 and UiO-67 [175,176]. C-C bond formation reactions such as Heck reactions, Sonogashira coupling, and Suzuki coupling are extremely important for organic synthesis and require the presence of palladium or palladium nanoparticles as catalysts, which are incorporated in the pores or are attached to the functionalized organic ligands. For example, palladium complexes, such as bis(tri(1-piperidinyl)phosphine) palladium chloride or bis(triphenylphosphine) palladium dichloride incorporated in a Ni-MOF for the Heck reaction of estragole with iodobenzene [177], palladium incorporated in a Zr-MOF based on 2,2′-bipyridine-5,5′-dicarboxylate ligands applied in the carbonylative Sonogashira coupling at atmospheric pressure in the presence of CO [178], and palladium dichloride immobilized on a mixed-ligand MOF containing bipyridyl and biphenyl moieties for Suzuki catalysis [179]. Palladium nanoparticles incorporated in Zr MOF-808 is an excellent heterogeneous catalyst for Heck reaction without an additional base [180], whereas palladium nanoclusters in NH

₂-UiO-66 (Zr) used in the Suzuki catalysis in the presence of light give 99% conversion and selectivity of biphenyl compounds ^[113]. A wide range of unsaturated organic compounds, such as α,β-unsaturated aldehydes, cinnamaldehyde, nitroarene, and nitro compounds, alkenes and alkynes, quinoline, benzene, and other aromatic compounds, can be hydrogenated with a very high yield and selectivity under mild conditions in the presence of MOFs and derived materials as heterogeneous catalysts. For example, Pt nanoparticles incorporated within MIL-101(Fe,Cr) used as catalysts for the hydrogenation of α,β-unsaturated aldehydes to unsaturated alcohols ^[114]. MIL-120 incorporated with Ni particles showed a better result on gas-phase benzene hydrogenation than the Ni/Al

-UiO-66 (Zr) used in the Suzuki catalysis in the presence of light give 99% conversion and selectivity of biphenyl compounds [181]. A wide range of unsaturated organic compounds, such as α,β-unsaturated aldehydes, cinnamaldehyde, nitroarene, and nitro compounds, alkenes and alkynes, quinoline, benzene, and other aromatic compounds, can be hydrogenated with a very high yield and selectivity under mild conditions in the presence of MOFs and derived materials as heterogeneous catalysts. For example, Pt nanoparticles incorporated within MIL-101(Fe,Cr) used as catalysts for the hydrogenation of α,β-unsaturated aldehydes to unsaturated alcohols [182]. MIL-120 incorporated with Ni particles showed a better result on gas-phase benzene hydrogenation than the Ni/Al

₂

O

₃ catalyst ^[115], which is a well-defined hollow Zn/Co ZIF composite with rhombic dodecahedron shape that displayed superior activity and selectivity toward the semi-hydrogenation of acetylene ^[116], and Ir nanoparticles encapsulated in ZIF-8 used in the hydrogenation of phenylacetylene ^[117]. The catalytic activity for the CO

 catalyst [183], which is a well-defined hollow Zn/Co ZIF composite with rhombic dodecahedron shape that displayed superior activity and selectivity toward the semi-hydrogenation of acetylene [184], and Ir nanoparticles encapsulated in ZIF-8 used in the hydrogenation of phenylacetylene [185]. The catalytic activity for the CO

₂

→CO reduction with [Ru

₃

(btc)

_2-x

(pydc)

_x

X

_y

] catalysts (X = Cl, OH, OAc, 

x

 = 0.1, 0.2, 0.6, 1.0; 0 ≤ 

y

 ≤ 1.5, H

₃

btc = benzene-1,3,5-tricarboxylic acid, H

₂

pydc = pyridine-3,5-dicarboxylic acid) as monitored by UHV-FTIR spectroscopy, showed peaks characteristic of the presence of (CO)Ru

^δ+

 species. The CO

₂

→CO conversion at 90 K is attributed to charge transfer from the 3d Ru orbitals to the 2π

_u

 CO

₂

 antibonding orbital, possibly yielding chemisorbed CO

₂^δ− species that might act as a reaction intermediate to produce CO ^[118]. These defect-engineered MOFs also act as olefin hydrogenation catalysts after activation with H

 species that might act as a reaction intermediate to produce CO [111]. These defect-engineered MOFs also act as olefin hydrogenation catalysts after activation with H

₂ to produce Ru-H species, assisted by the presence of the basic pyridyl-N atom of the pydc linkers ^[118]. Cu-based MOFs, [Cu

 to produce Ru-H species, assisted by the presence of the basic pyridyl-N atom of the pydc linkers [111]. Cu-based MOFs, [Cu

₃

(btc)

₂

] HKUST-1 (btc

³⁻

 = benzene-1,3,5-tricarboxylate) and [Cu

₃

(btb)

₂

] MOF-14 (btb

³⁻

 = benzene-1,3,5-tribenzoate) display high catalytic activity toward CO oxidation at low temperatures (105 K), which is related to the CO species adsorbed on the Cu

²⁺

 coordinatively unsaturated metal ion sites upon exposure to various amounts of O

₂ ^[119]. Several MOFs, for example NU-1000, UiO-66, HKUST-1, and MIL-101(Cr)-DAAP, have been tested as heterogeneous catalysts for the catalytic destruction of the phosphate ester bonds and phosphate-fluoride bonds, in chemical warfare agents, such as DMNP (dimethyl 4-nitrophenyl phosphate), DENP (diethyl 4-nitrophenyl phosphate), BNPP (bis(4-nitrophenyl) phosphate), and the highly toxic GD (O-pinacolyl methylphosphonofluoridate), known as Soman ^[120].

 [186]. Several MOFs, for example NU-1000, UiO-66, HKUST-1, and MIL-101(Cr)-DAAP, have been tested as heterogeneous catalysts for the catalytic destruction of the phosphate ester bonds and phosphate-fluoride bonds, in chemical warfare agents, such as DMNP (dimethyl 4-nitrophenyl phosphate), DENP (diethyl 4-nitrophenyl phosphate), BNPP (bis(4-nitrophenyl) phosphate), and the highly toxic GD (O-pinacolyl methylphosphonofluoridate), known as Soman [187].

Figure 45.

 Schematic view of the selective catalytic activity of MnFe-MOF-74 for the epoxidation of the cyclic alkenes in the presence of 

^t

BuSO

₂PhIO. Reprinted with permission from ACS Catal., 2018, 8, 596–601 (^[98]). Copyright 2018 American Chemical Society.

PhIO. Reprinted with permission from ACS Catal., 2018, 8, 596–601 ([166]). Copyright 2018 American Chemical Society.

Two-dimensional MOFs have been recently developed as catalysts of outstanding intrinsic reactivity, as support materials for catalysts, and as catalysts with multifunctional catalytic activity for diverse organic transformations. Their enhanced catalytic activity is associated with the ultra-thin thickness and more accessible active sites, which decrease the diffusion resistance and increase the host-guest interactions, rendering these materials much better than the corresponding bulk MOFs ^[121]. For example, 2D MOFs based on tetrakis(4-carboxyphenyl)-porphyrin display unique photochemistry and high efficiency in light-harvesting applications and showed catalytic activity in photooxidation reactions (

Two-dimensional MOFs have been recently developed as catalysts of outstanding intrinsic reactivity, as support materials for catalysts, and as catalysts with multifunctional catalytic activity for diverse organic transformations. Their enhanced catalytic activity is associated with the ultra-thin thickness and more accessible active sites, which decrease the diffusion resistance and increase the host-guest interactions, rendering these materials much better than the corresponding bulk MOFs [188]. For example, 2D MOFs based on tetrakis(4-carboxyphenyl)-porphyrin display unique photochemistry and high efficiency in light-harvesting applications and showed catalytic activity in photooxidation reactions (

Figure 5) ^{[122][123][124]}. Incorporation of nanoparticles or enzymes as well as post-synthetic modification provided new materials with enhanced catalytic activities ^[125]. For example, [Zr

6) [189,190,191]. Incorporation of nanoparticles or enzymes as well as post-synthetic modification provided new materials with enhanced catalytic activities [192]. For example, [Zr

₁₂

O

₈

(OH)

₁₄

(BPYDC)

₉

] (H

₂BPYDC = 2,2′-bipyridine-5,5′-dicarboxylic acid), MON-19, loaded with platinum nanoparticles, displays efficient hydrogenation of C=C bonds under mild conditions without external high-pressure hydrogen ^[126].

BPYDC = 2,2′-bipyridine-5,5′-dicarboxylic acid), MON-19, loaded with platinum nanoparticles, displays efficient hydrogenation of C=C bonds under mild conditions without external high-pressure hydrogen [193].

Figure 56.

 (

a

) Schematic representation of a single-layered 2D nanosheet of Cu-MOF. Color code: C, gray. O, red. S, yellow. F, green. Cu polyhedral, blue. H-atoms not shown. (

b

) Schematic representation of a Cu(II) center in the nanosheets. (

c

) Molecular structure of 

a

-chymotrypsin. (

d

) The polychrome sections in this structure are the active site with residues Asp-102, His-57, and Ser-195. 

a

-chymotrypsin can be effectively inhibited by 2D Cu-MOF, [Cu(bpy)OTf)

₂] (bpy = 4,4′-bipyridine, OTf = trifluoromethanesulfonate). Reprinted with permission from J. Am. Chem. Soc., 2017, 139, 8312–8319 (^[122]). Copyright 2018 American Chemical Society.

] (bpy = 4,4′-bipyridine, OTf = trifluoromethanesulfonate). Reprinted with permission from J. Am. Chem. Soc., 2017, 139, 8312–8319 ([189]). Copyright 2018 American Chemical Society.

2.4. Piezo/Ferroelectric, Thermoelectric, and Dielectric Applications

The piezoelectric materials convert mechanical energy into electrical energy through the direct piezoelectric effect and can be considered as energy harvesters to generate energy when direct electricity or batteries are not available. A subclass are the ferroelectric materials, which exhibit spontaneous electric polarization whose direction can be reversed by applying external electric fields. Piezo/ferroelectric materials, such as crystalline and ceramic materials, polymers, and liquid crystals find potential applications in piezoelectric quartz crystals as ultrasonic transducer, sensors and actuators, filters, ultrasonic motors, energy harvester, optical devices and so on. Besides traditional piezo/ferroelectric materials, MOFs have investigated for potential applications, among these [Zn

₂

(mtz)(nic)

₂

(OH)]·0.5H

₂

O (Hmtz = 5-methyltetrazole, Hnic = nicotinic acid), [Zn(phtz)(nic)]

₂

 (Hphtz = 5-phenyltetrazole), [Cd(tib)(p-BDC-OH)]·H

₂

O (tib = 1,3,5-tris(1-imidazolyl)benzene, p-BDC-OH = 2-OH-1,4-benzenedicarboxylic acid), [In(C

₁₆

H

₁₁

N

₂

O

₈

]·1.5H

₂

O, and [Mn

₅

(NH

₂

bdc)

₅

(bimb)

₅

]·0.5H

₂

O (NH

₂

bdcH

₂

 = 2-amino-1,4-benzene dicarboxylic acid, bimb = 4,4′-bis(1-imidazolyl)biphenyl) show significant ferroelectric properties with spontaneous polarization values of P

_s

 of 6.26, 5.27, 11.65, 3.81, and 2.556 μC·cm

⁻², respectively ^{[127][128][129][130]}. The piezoelectric properties of MOFs have been rarely studied. For example, a MOF based on [Cd(imazethpyr)] displays a piezoelectric coefficient d

, respectively [165,220,221,222]. The piezoelectric properties of MOFs have been rarely studied. For example, a MOF based on [Cd(imazethpyr)] displays a piezoelectric coefficient d

₃₃

 value of 60.10 pC·N

⁻¹

, which is smaller than that of BaTiO

₃

, but was the first MOF with such piezo/ferroelectricity (

Figure 6) ^[131]. ZIF-8-based MOFs exhibit ‘soft’ piezo/ferroelectricity and water soluble MOFs such as NUS-series and UiO-series exhibit piezoelectric coefficient as d

7) [223]. ZIF-8-based MOFs exhibit ‘soft’ piezo/ferroelectricity and water soluble MOFs such as NUS-series and UiO-series exhibit piezoelectric coefficient as d

_zz

 up to 3.5 pm·V

^{−1 [132][133][134]}.

 [224,225,226].

Figure 67.

 (

a

) The diamond-like net of MOF based on [Cd(imazethpyr)] and (

b) electric hysteresis loop of the MOF. Dalton Trans. 2008, 3946–3948 (^[131])—Reproduced by permission of The Royal Society of Chemistry.

) electric hysteresis loop of the MOF. Dalton Trans. 2008, 3946–3948 ([223])—Reproduced by permission of The Royal Society of Chemistry.

The thermoelectric materials, which can generate electric potential from a temperature difference, constitute an environmentally-friendly approach of energy generation from waste heat. Besides inorganic compounds, such as oxides and alloys, the approach of conductive MOFs as new potential thermoelectric materials has been developed. This approach includes first-row transition metal MOFs with thiolate ligands, such as [Cu(pdt)

₂

] (pdt = 2,3-pyrazinedithiolate), inclusion of guest molecules in known MOFs, such as TCNQ@HKUST-1 (HKUST-1 = [Cu

₃

(BTC)

₂

], BTC = benzene tricarboxylate), I

₂ and metal nanoclusters in order to improve the conductivity of the material. 2D MOF nanosheets of bis(thiolato) ligands and light transition metals, i.e., π-d conjugated systems, and post-synthetically modified MOFS, i.e., guest@MOFs and conductive-polymer grafted MOFs, are promising candidates for the fabrication of thermoelectric devices due to their excellent conductivity ^[135].

 and metal nanoclusters in order to improve the conductivity of the material. 2D MOF nanosheets of bis(thiolato) ligands and light transition metals, i.e., π-d conjugated systems, and post-synthetically modified MOFS, i.e., guest@MOFs and conductive-polymer grafted MOFs, are promising candidates for the fabrication of thermoelectric devices due to their excellent conductivity [227].

Semiconducting devices are based on dielectric materials, which display ultra-low dielectric constants (

κ

 < 3.9 as in SiO

₂). MOFs feature ultra-low dielectric constants, which are considered as promising materials for the future microelectronics industry. The requirements of doing so are thermal stability at a high temperature, predictable mechanical behavior, electrical insulation, and adhesion to other interlayers. DFT calculation on various MOFs, such as IRMOF-1 family, UiO-66, UiO-67, MIL-140, and MOF-74-M (M = Mg, Mn, Fe, Co, Ni, Zn), revealed the influence of the structural and chemical characteristics on their electronic and dielectric properties, demonstrating their ability to behave as insulators and low-dielectric constant materials, and predicted dielectric constants in the range of 1.25 to 2.0 ^[136][137]. Surface-anchored HKUST-1 thin films grown by liquid phase epitaxy (LPE) were studied by spectroscopic ellipsometry (SE) to determine an optical constant of 

). MOFs feature ultra-low dielectric constants, which are considered as promising materials for the future microelectronics industry. The requirements of doing so are thermal stability at a high temperature, predictable mechanical behavior, electrical insulation, and adhesion to other interlayers. DFT calculation on various MOFs, such as IRMOF-1 family, UiO-66, UiO-67, MIL-140, and MOF-74-M (M = Mg, Mn, Fe, Co, Ni, Zn), revealed the influence of the structural and chemical characteristics on their electronic and dielectric properties, demonstrating their ability to behave as insulators and low-dielectric constant materials, and predicted dielectric constants in the range of 1.25 to 2.0 [228,229]. Surface-anchored HKUST-1 thin films grown by liquid phase epitaxy (LPE) were studied by spectroscopic ellipsometry (SE) to determine an optical constant of 

n

 = 1.39 at a wavelength of 750 nm (

κ~1.93) ^[138]. ZIF-8 thin films deposited on silicon wafers studied by SE and the dielectric constant was measured by impedance analysis at different frequencies and temperatures yielding 

~1.93) [230]. ZIF-8 thin films deposited on silicon wafers studied by SE and the dielectric constant was measured by impedance analysis at different frequencies and temperatures yielding 

κ = 2.33 at 100 kHz ^[139]. Other MOFs, which display ultra-low dielectric constants (below that of SiO

 = 2.33 at 100 kHz [231]. Other MOFs, which display ultra-low dielectric constants (below that of SiO

₂

) are, for example, [Sr

₂

(1,3-dbc)

₂

(H

₂

O)

₂

] (bdc = 1,3-bis(4,5-dihydro-2-oxazolyl)benzene), which retains its crystallinity up to 420 °C with 

κ~2.4 ^[140], [Zn

~2.4 [232], [Zn

₂

(Hbbim)

₂

(bbim)] (H

₂

bbim = bisbenzimidazole) with 

κ~3.05 ^[141], [Pb(tab)

~3.05 [233], [Pb(tab)

₂

(4,4′-bipy)](PF

₆

) (tab = 4-(trimethylammonio)benzenethiolate) with 

κ

~2.53, [Zn

₂

(L-trp)

₂

(bpe)

₂

(H

₂

O)

₂

] (L-trp = L-tryptophane, bpe = 1,2-bis(4-pyridyl)ethylene) with 

κ

~2.53, [Mn

₂

(D-cam)

₂

(2-Hpao)

₄

] (D-cam = D-camphoric acid, 2-Hpao = 2-pyridinealdoxime) with 

κ

~2.8, and [Co

₂

(D-cam)

₂

(3-abpt)

₂

(H

₂

O)

₃

] (3-abpt = 4-amino-3,5-bis(3-pyridyl)-1,2,4-triazole) with 

κ~3.0 ^[142].

~3.0 [234].

2.5. Proton-Conducting and Magnetic Materials

Recently, MOFs have attracted considerable interest as proton-conducting materials and their potential applications in electrochemical devices, sensors, hydrogen fuel cells, etc. MOFs can accommodate various proton carriers in their pores/channels and can provide useful insight into the proton-conducting pathway and mechanism, and these advantages render them excellent materials for such applications. While the negative charge of the lattice is not a prerequisite for conducting protons, many of them are anionic MOFs whose charge is offset by small protonated amines or protons attached to the solvent molecules by hydrogen bonds, or protons weakly attached to functional groups of the ligands (less frequently in carboxylates, more often in sulfonic and phosphonate ligands). For example, {H[(N(CH

₃

)

₄

)

₂

][Gd

₃

(NIPA)

₆

]}·3H

₂

O (H

₂

NIPA = 5-nitroisophthalic acid) displays high proton conductivity of 7.17 × 10

⁻²

 S·cm

⁻¹ at high relative humidity, which is among the highest values for proton-conducting MOFs ^[143], and the bimetallic complex {NH(prol)

 at high relative humidity, which is among the highest values for proton-conducting MOFs [235], and the bimetallic complex {NH(prol)

₃

}[MnCr(ox)

₃

] (NH(prol)

₃⁺

 = tri(3-hydroxypropyl)ammonium, ox = oxalate), which consists of oxalate-bridged bimetallic layers interleaved by NH(prol)

₃⁺

 ions and shows proton conduction of ~10

⁻⁴

 S·cm

⁻¹

 under 75% relative humidity due to the presence of an extensive H-bonded network between the anionic MOF, the NH(prol)

₃⁺ ions, and water molecules ^[144]. Some examples of neutral MOFs, which display high proton conductivity, are [Tb

 ions, and water molecules [236]. Some examples of neutral MOFs, which display high proton conductivity, are [Tb

₄

(TTHA)

₂

(H

₂

O)

₄

]·7H

₂

O (H

₆

TTHA = 1,3,5-triazine-2,4,6-triamine hexaacetic acid) with high proton conductivity over 10

⁻²

 S·cm

⁻¹ at 295–358 K temperature range due to an extensive H-bond network formed between water solvates and carboxyl groups ^[145], [Ln(L)(H

 at 295–358 K temperature range due to an extensive H-bond network formed between water solvates and carboxyl groups [237], [Ln(L)(H

₂

O)

₂

] (Ln

^III

 = Dy, Er, Gd; H

₃

L = (HO)

₂

P(O)CH

₂

CO

₂

H) with proton conductivity values of 1.13 × 10

⁻⁶

, 2.73 × 10

⁻³

, and 6.27 × 10

⁻⁶

 S·cm

⁻¹, respectively, at high temperatures (>348 K) and 95% relative humidity ^[146], and [Ln

, respectively, at high temperatures (>348 K) and 95% relative humidity [238], and [Ln

₂

(CO

₃

)(ox)

₂

(H

₂

O)

₂

]·3H

₂

O (Ln

^III

 = Ce, Pr, Nd, Tb) with proton conductivity above 10

⁻³

 S·cm

⁻¹

 without an additional humidity (

Figure 7) ^[147].

8) [239].

Figure 78.

 The 3D framework of {[Gd

₂

(CO

₃

)(ox)

₂

(H

₂

O)

₂

]·3H

₂O, which contains an ordered one-dimensional pore channel along the a-axis, which serves as a 1D hydrogen bond pathway. The compound shows high proton conductivity (up right) and a large magnetocaloric effect (down right). Reprinted with permission from Inorg. Chem. 2018, 57, 9020–9027 (^[147]). Copyright 2018 American Chemical Society.

O, which contains an ordered one-dimensional pore channel along the a-axis, which serves as a 1D hydrogen bond pathway. The compound shows high proton conductivity (up right) and a large magnetocaloric effect (down right). Reprinted with permission from Inorg. Chem. 2018, 57, 9020–9027 ([239]). Copyright 2018 American Chemical Society.