Recent research on nanostructures has demonstrated their importance and application in a variety of fields.Nanostructures are used directly or indirectly in drug delivery systems,medicine and pharmaceuticals,biologica...Recent research on nanostructures has demonstrated their importance and application in a variety of fields.Nanostructures are used directly or indirectly in drug delivery systems,medicine and pharmaceuticals,biological sensors,photodetectors,transistors,optical and electronic devices,and so on.The discovery of carbon nanotubes with Y-shaped junctions is motivated by the development of future advanced electronic devices.Because of their interactionwithY-junctions,electronic switches,amplifiers,and three-terminal transistors are of particular interest.Entropy is a concept that determines the uncertainty of a system or network.Entropy concepts are also used in biology,chemistry,and applied mathematics.Based on the requirements,entropy in the form of a graph can be classified into several types.In 1955,graph-based entropy was introduced.One of the types of entropy is edgeweighted entropy.We examined the abstract form of Y-shaped junctions in this study.Some edge-weight-based entropy formulas for the generic view of Y-shaped junctions were created,and some edge-weighted and topological index-based concepts for Y-shaped junctions were discussed in the present paper.展开更多
The Metric of a graph plays an essential role in the arrangement of different dimensional structures and finding their basis in various terms.The metric dimension of a graph is the selection of the minimum possible nu...The Metric of a graph plays an essential role in the arrangement of different dimensional structures and finding their basis in various terms.The metric dimension of a graph is the selection of the minimum possible number of vertices so that each vertex of the graph is distinctively defined by its vector of distances to the set of selected vertices.This set of selected vertices is known as the metric basis of a graph.In applied mathematics or computer science,the topic of metric basis is considered as locating number or locating set,and it has applications in robot navigation and finding a beacon set of a computer network.Due to the vast applications of this concept in computer science,optimization problems,and also in chemistry enormous research has been conducted.To extend this research to a four-dimensional structure,we studied the metric basis of the Klein bottle and proved that the Klein bottle has a constant metric dimension for the variation of all its parameters.Although the metric basis is variying in 3 and 4 values when the values of its parameter change,it remains constant and unchanged concerning its order or number of vertices.The methodology of determining the metric basis or locating set is based on the distances of a graph.Therefore,we proved the main theorems in distance forms.展开更多
As an inorganic chemical,magnesium iodide has a significant crystalline structure.It is a complex and multifunctional substance that has the potential to be used in a wide range of medical advancements.Molecular graph...As an inorganic chemical,magnesium iodide has a significant crystalline structure.It is a complex and multifunctional substance that has the potential to be used in a wide range of medical advancements.Molecular graph theory,on the other hand,provides a sufficient and cost-effective method of investigating chemical structures and networks.M-polynomial is a relatively new method for studying chemical networks and structures in molecular graph theory.It displays numerical descriptors in algebraic form and highlights molecular features in the form of a polynomial function.We present a polynomials display of magnesium iodide structure and calculate several M-polynomials in this paper,particularly the M-polynomials of the augmented Zagreb index,inverse sum index,hyper Zagreb index and for the symmetric division index.展开更多
Graph theory plays a significant role in the applications of chemistry,pharmacy,communication,maps,and aeronautical fields.The molecules of chemical compounds are modelled as a graph to study the properties of the com...Graph theory plays a significant role in the applications of chemistry,pharmacy,communication,maps,and aeronautical fields.The molecules of chemical compounds are modelled as a graph to study the properties of the compounds.The geometric structure of the compound relates to a few physical properties such as boiling point,enthalpy,π-electron energy,andmolecular weight.The article aims to determine the practical application of graph theory by solving one of the interdisciplinary problems describing the structures of benzenoid hydrocarbons and graphenylene.The topological index is an invariant of a molecular graph associated with the chemical structure,which shows the correlation of chemical structures using many physical,chemical properties and biological activities.This study aims to introduce some novel degree-based entropy descriptors such as ENTSO,ENTGH,ENTHG,ENTSS,ENTNSO,ENTNReZ1,ENTNReZ2 and ENTNSS using the respective topological indices.Also,the above-mentioned entropy measures and physico-chemical properties of benzenoid hydrocarbons are fitted using linear regression models and calculated for graphenylene structure.展开更多
The Internet of Things(IoT)and cloud technologies have encouraged massive data storage at central repositories.Software-defined networks(SDN)support the processing of data and restrict the transmission of duplicate va...The Internet of Things(IoT)and cloud technologies have encouraged massive data storage at central repositories.Software-defined networks(SDN)support the processing of data and restrict the transmission of duplicate values.It is necessary to use a data de-duplication mechanism to reduce communication costs and storage overhead.Existing State of the art schemes suffer from computational overhead due to deterministic or random tree-based tags generation which further increases as the file size grows.This paper presents an efficient file-level de-duplication scheme(EFDS)where the cost of creating tags is reduced by employing a hash table with key-value pair for each block of the file.Further,an algorithm for hash table-based duplicate block identification and storage(HDBIS)is presented based on fingerprints that maintain a linked list of similar duplicate blocks on the same index.Hash tables normally have a consistent time complexity for lookup,generating,and deleting stored data regardless of the input size.The experiential results show that the proposed EFDS scheme performs better compared to its counterparts.展开更多
The Internet of Things(IoT)is gaining attention because of its broad applicability,especially by integrating smart devices for massive communication during sensing tasks.IoT-assisted Wireless Sensor Networks(WSN)are s...The Internet of Things(IoT)is gaining attention because of its broad applicability,especially by integrating smart devices for massive communication during sensing tasks.IoT-assisted Wireless Sensor Networks(WSN)are suitable for various applications like industrial monitoring,agriculture,and transportation.In this regard,routing is challenging to nd an efcient path using smart devices for transmitting the packets towards big data repositories while ensuring efcient energy utilization.This paper presents the Robust Cluster Based Routing Protocol(RCBRP)to identify the routing paths where less energy is consumed to enhances the network lifespan.The scheme is presented in six phases to explore ow and communication.We propose the two algorithms:(i)energy-efcient clustering and routing algorithm and (ii)distance and energy consumption calculation algorithm.The scheme consumes less energy and balances the load by clustering the smart devices.Our work is validated through extensive simulation using Matlab.Results elucidate the dominance of the proposed scheme is compared to counterparts in terms of energy consumption,the number of packets received at BS and the number of active and dead nodes.In the future,we shall consider edge computing to analyze the performance of robust clustering.展开更多
Environmental variables play a crucial role in shaping vegetation structure,mainly in mountainous ecosystems.Different studies have attempted to identify the environment-vegetation relationship of Conifer Dominating F...Environmental variables play a crucial role in shaping vegetation structure,mainly in mountainous ecosystems.Different studies have attempted to identify the environment-vegetation relationship of Conifer Dominating Forests(CDF)worldwide.However,due to differences in local climate and soil composition,different environmental drivers can be found.By applying multivariate analysis techniques,this study investigated the vegetation-environment relationship of CDF of Indus Kohistan in northern Pakistan.Our results showed that CDF of Indus Kohistan are distributed in five distinct ecological groups,which are dominated by different trees and understory species.A total of 7 trees and 71 understory species were recorded from the sampling sites.Cedrus deodara was the leading species among four groups,having the highest importance value(IV),density and basal area.Group I was dominated by Pinus wallichiana with the second highest importance value,density and basal area.In addition,elevation,slope,maximum water holding capacity(MWHC),soil moisture(SM),total organic matter(TOM),sodium,phosphorus and nickel showed highly significant influence on composition and distribution pattern of Indus Kohistan vegetation.Therefore,this study shows a new evidence of vegetation-environment relationship,pointing out specific drivers of vegetation structure in CDF of Indus Kohistan region in northern Pakistan.展开更多
We present an investigation of the optical constants of the near stoichiometric GdN films. Transmission and reflection spectra are collected for the paramagnetic and the ferromagnetic GdN in the photon energy range of...We present an investigation of the optical constants of the near stoichiometric GdN films. Transmission and reflection spectra are collected for the paramagnetic and the ferromagnetic GdN in the photon energy range of 0.5-5.5 eV. In the ferromagnetic phase, behaviors of minority and majority spin states are specifically focussed on, which indicate spin-split joint density of states. The results confirm the LSDA+U estimates of energy gap associated with the majority-spins and also the magnitude of spin splitting.展开更多
Silica has three major varieties of crystalline. Quartz is the main andabundant ingredient in the crust of our earth. While other varieties are formedby the heating of quartz. Silica quartz is a rich chemical structur...Silica has three major varieties of crystalline. Quartz is the main andabundant ingredient in the crust of our earth. While other varieties are formedby the heating of quartz. Silica quartz is a rich chemical structure containingenormous properties. Any chemical network or structure can be transformedinto a graph, where atoms become vertices and the bonds are converted toedges, between vertices. This makes a complex network easy to visualize towork on it. There are many concepts to work on chemical structures in termsof graph theory but the resolvability parameters of a graph are quite advanceand applicable topic. Resolvability parameters of a graph is a way to getting agraph into unique form, like each vertex or edge has a unique identification bymeans of some selected vertices, which depends on the distance of vertices andits pattern in a particular graph. We have dealt some resolvability parametersof SiO2 quartz. We computed the resolving set for quartz structure and itsvariants, wherein we proved that all the variants of resolvability parameters ofquartz structures are constant and do not depend on the order of the graph.展开更多
To improve the phosphorus(P)recovery efficiency from livestock wastewater,a novel MgO doped mildewed corn biochar with thermal pre-puffing treatment(Mg-PBC)and without pre-puffing(Mg-BC)was synthesized and tested.The ...To improve the phosphorus(P)recovery efficiency from livestock wastewater,a novel MgO doped mildewed corn biochar with thermal pre-puffing treatment(Mg-PBC)and without pre-puffing(Mg-BC)was synthesized and tested.The thermal-puffing pretreatment improved the effectiveness of metal soaking and MgO dispersion.P recovery time with Mg-PBC(7 h)was significantly shorter than that with Mg-BC(12 h).Moreover,Mg-PBC showed significantly higher P recovery capacity(241 mg g^(−1))than Mg-BC(96.6 mg g^(−1)).P recovery capacity of the Mg-PBC fitted to the Thomas model was 90.7 mg g^(−1),which was 4 times higher than that of Mg-BC(22.9 mg g^(−1))under column test conditions.The mechanisms involved in P recovery included precipitation,surface complexation,and electrostatic interaction.After adsorption,both Mg-BC and Mg-PBC showed relatively low regeneration abilities.The P loaded Mg-BC(Mg-BC-P)and Mg-PBC(Mg-PBC-P),the later particularly,obviously increased the available P content and promoted plant growth.The release of P increased with time in the Mg-PBC-P treated soil,while it decreased with time in the P fertilizer treated soil.A cost-benefit analysis revealed that thermal-puffing pretreatment greatly increased the profit of MgO doped biochar from−0.66 to 5.90 US$kg^(−1).These findings highlight that biomass pre-puffing is a feasible treatment to produce MgO modified biochar and to recover P from livestock wastewater,and that the Mg-PBC-P can be used as a slow-release P fertilizer.展开更多
Soil inorganic carbon(SIC)accounts for about half of the C reserves worldwide and is considered more stable than soil organic carbon(SOC).However,soil acidification,driven mainly by nitrogen(N)fertilization can accele...Soil inorganic carbon(SIC)accounts for about half of the C reserves worldwide and is considered more stable than soil organic carbon(SOC).However,soil acidification,driven mainly by nitrogen(N)fertilization can accelerate SIC losses,possibly leading to complete loss under continuous and intensive N fertilization.Carbonate-free soils are less fertile,productive,and more prone to erosion.Therefore,minimizing carbonate losses is essential for soil health and climate change mitigation.Rock/mineral residues or powder have been suggested as a cheaper source of amendments to increase soil alkalinity.However,slow mineral dissolution limits its efficient utilization.Soil microorganisms play a vital role in the weathering of rocks and their inoculation with mineral residues can enhance dissolution rates.Biochar is an alternative material for soil amendments,in particular,bone biochar(BBC)contains higher Ca and Mg that can induce even higher alkalinity.This review covers i)the contribution and mechanism of rock residues in alkalinity generation,ii)the role of biochar or BBC to soil alkalinity,and iii)the role of microbial inoculation for accelerating alkalinity generation through enhanced mineral dissolution.We conclude that using rock residues/BBC combined with microbial agents could mitigate soil acidification and SIC losses and also improve agricultural circularity.展开更多
Metal-organic frameworks(MOFs)have attracted significant attention in the past two decades due to their diverse physical properties and associated functionalities.Although numerous advances have been made,the acoustic...Metal-organic frameworks(MOFs)have attracted significant attention in the past two decades due to their diverse physical properties and associated functionalities.Although numerous advances have been made,the acoustic properties of MOFs have attracted very little attention.Here,we systematically investigate the acoustic velocities and impedances of 19 prototypical MOFs via first-principle calculations.Our results demonstrate that these MOFs exhibit a wider range of acoustic velocities,higher anisotropy,and lower acoustic impedances than their inorganic counterparts,which are ascribed to their structural diversity and anisotropy,as well as low densities.In addition,the piezoelectric properties,which are intimately related to the acoustic properties,were calculated for 3 MOFs via density functional perturbation theory,which reveals that MOFs can exhibit significant piezoelectricity due to the ionic contribution.Our work provides a comprehensive study of the fundamental acoustic properties of MOFs,which could stimulate further interest in this new exciting field.展开更多
基金supported by the National Science Foundation of China (11961021 and 11561019)Guangxi Natural Science Foundation (2020GXNSFAA159084)Hechi University Research Fund for Advanced Talents (2019GCC005).
文摘Recent research on nanostructures has demonstrated their importance and application in a variety of fields.Nanostructures are used directly or indirectly in drug delivery systems,medicine and pharmaceuticals,biological sensors,photodetectors,transistors,optical and electronic devices,and so on.The discovery of carbon nanotubes with Y-shaped junctions is motivated by the development of future advanced electronic devices.Because of their interactionwithY-junctions,electronic switches,amplifiers,and three-terminal transistors are of particular interest.Entropy is a concept that determines the uncertainty of a system or network.Entropy concepts are also used in biology,chemistry,and applied mathematics.Based on the requirements,entropy in the form of a graph can be classified into several types.In 1955,graph-based entropy was introduced.One of the types of entropy is edgeweighted entropy.We examined the abstract form of Y-shaped junctions in this study.Some edge-weight-based entropy formulas for the generic view of Y-shaped junctions were created,and some edge-weighted and topological index-based concepts for Y-shaped junctions were discussed in the present paper.
文摘The Metric of a graph plays an essential role in the arrangement of different dimensional structures and finding their basis in various terms.The metric dimension of a graph is the selection of the minimum possible number of vertices so that each vertex of the graph is distinctively defined by its vector of distances to the set of selected vertices.This set of selected vertices is known as the metric basis of a graph.In applied mathematics or computer science,the topic of metric basis is considered as locating number or locating set,and it has applications in robot navigation and finding a beacon set of a computer network.Due to the vast applications of this concept in computer science,optimization problems,and also in chemistry enormous research has been conducted.To extend this research to a four-dimensional structure,we studied the metric basis of the Klein bottle and proved that the Klein bottle has a constant metric dimension for the variation of all its parameters.Although the metric basis is variying in 3 and 4 values when the values of its parameter change,it remains constant and unchanged concerning its order or number of vertices.The methodology of determining the metric basis or locating set is based on the distances of a graph.Therefore,we proved the main theorems in distance forms.
文摘As an inorganic chemical,magnesium iodide has a significant crystalline structure.It is a complex and multifunctional substance that has the potential to be used in a wide range of medical advancements.Molecular graph theory,on the other hand,provides a sufficient and cost-effective method of investigating chemical structures and networks.M-polynomial is a relatively new method for studying chemical networks and structures in molecular graph theory.It displays numerical descriptors in algebraic form and highlights molecular features in the form of a polynomial function.We present a polynomials display of magnesium iodide structure and calculate several M-polynomials in this paper,particularly the M-polynomials of the augmented Zagreb index,inverse sum index,hyper Zagreb index and for the symmetric division index.
文摘Graph theory plays a significant role in the applications of chemistry,pharmacy,communication,maps,and aeronautical fields.The molecules of chemical compounds are modelled as a graph to study the properties of the compounds.The geometric structure of the compound relates to a few physical properties such as boiling point,enthalpy,π-electron energy,andmolecular weight.The article aims to determine the practical application of graph theory by solving one of the interdisciplinary problems describing the structures of benzenoid hydrocarbons and graphenylene.The topological index is an invariant of a molecular graph associated with the chemical structure,which shows the correlation of chemical structures using many physical,chemical properties and biological activities.This study aims to introduce some novel degree-based entropy descriptors such as ENTSO,ENTGH,ENTHG,ENTSS,ENTNSO,ENTNReZ1,ENTNReZ2 and ENTNSS using the respective topological indices.Also,the above-mentioned entropy measures and physico-chemical properties of benzenoid hydrocarbons are fitted using linear regression models and calculated for graphenylene structure.
基金supported in part by Hankuk University of Foreign Studies’Research Fund for 2023 and in part by the National Research Foundation of Korea(NRF)grant funded by the Ministry of Science and ICT Korea No.2021R1F1A1045933.
文摘The Internet of Things(IoT)and cloud technologies have encouraged massive data storage at central repositories.Software-defined networks(SDN)support the processing of data and restrict the transmission of duplicate values.It is necessary to use a data de-duplication mechanism to reduce communication costs and storage overhead.Existing State of the art schemes suffer from computational overhead due to deterministic or random tree-based tags generation which further increases as the file size grows.This paper presents an efficient file-level de-duplication scheme(EFDS)where the cost of creating tags is reduced by employing a hash table with key-value pair for each block of the file.Further,an algorithm for hash table-based duplicate block identification and storage(HDBIS)is presented based on fingerprints that maintain a linked list of similar duplicate blocks on the same index.Hash tables normally have a consistent time complexity for lookup,generating,and deleting stored data regardless of the input size.The experiential results show that the proposed EFDS scheme performs better compared to its counterparts.
文摘The Internet of Things(IoT)is gaining attention because of its broad applicability,especially by integrating smart devices for massive communication during sensing tasks.IoT-assisted Wireless Sensor Networks(WSN)are suitable for various applications like industrial monitoring,agriculture,and transportation.In this regard,routing is challenging to nd an efcient path using smart devices for transmitting the packets towards big data repositories while ensuring efcient energy utilization.This paper presents the Robust Cluster Based Routing Protocol(RCBRP)to identify the routing paths where less energy is consumed to enhances the network lifespan.The scheme is presented in six phases to explore ow and communication.We propose the two algorithms:(i)energy-efcient clustering and routing algorithm and (ii)distance and energy consumption calculation algorithm.The scheme consumes less energy and balances the load by clustering the smart devices.Our work is validated through extensive simulation using Matlab.Results elucidate the dominance of the proposed scheme is compared to counterparts in terms of energy consumption,the number of packets received at BS and the number of active and dead nodes.In the future,we shall consider edge computing to analyze the performance of robust clustering.
文摘Environmental variables play a crucial role in shaping vegetation structure,mainly in mountainous ecosystems.Different studies have attempted to identify the environment-vegetation relationship of Conifer Dominating Forests(CDF)worldwide.However,due to differences in local climate and soil composition,different environmental drivers can be found.By applying multivariate analysis techniques,this study investigated the vegetation-environment relationship of CDF of Indus Kohistan in northern Pakistan.Our results showed that CDF of Indus Kohistan are distributed in five distinct ecological groups,which are dominated by different trees and understory species.A total of 7 trees and 71 understory species were recorded from the sampling sites.Cedrus deodara was the leading species among four groups,having the highest importance value(IV),density and basal area.Group I was dominated by Pinus wallichiana with the second highest importance value,density and basal area.In addition,elevation,slope,maximum water holding capacity(MWHC),soil moisture(SM),total organic matter(TOM),sodium,phosphorus and nickel showed highly significant influence on composition and distribution pattern of Indus Kohistan vegetation.Therefore,this study shows a new evidence of vegetation-environment relationship,pointing out specific drivers of vegetation structure in CDF of Indus Kohistan region in northern Pakistan.
文摘We present an investigation of the optical constants of the near stoichiometric GdN films. Transmission and reflection spectra are collected for the paramagnetic and the ferromagnetic GdN in the photon energy range of 0.5-5.5 eV. In the ferromagnetic phase, behaviors of minority and majority spin states are specifically focussed on, which indicate spin-split joint density of states. The results confirm the LSDA+U estimates of energy gap associated with the majority-spins and also the magnitude of spin splitting.
基金This research is supported by the University program of Advanced Research(UPAR)and UAEU-AUA grants of United Arab Emirates University(UAEU)via Grant No.G00003271 and Grant No.G00003461.
文摘Silica has three major varieties of crystalline. Quartz is the main andabundant ingredient in the crust of our earth. While other varieties are formedby the heating of quartz. Silica quartz is a rich chemical structure containingenormous properties. Any chemical network or structure can be transformedinto a graph, where atoms become vertices and the bonds are converted toedges, between vertices. This makes a complex network easy to visualize towork on it. There are many concepts to work on chemical structures in termsof graph theory but the resolvability parameters of a graph are quite advanceand applicable topic. Resolvability parameters of a graph is a way to getting agraph into unique form, like each vertex or edge has a unique identification bymeans of some selected vertices, which depends on the distance of vertices andits pattern in a particular graph. We have dealt some resolvability parametersof SiO2 quartz. We computed the resolving set for quartz structure and itsvariants, wherein we proved that all the variants of resolvability parameters ofquartz structures are constant and do not depend on the order of the graph.
基金The National Natural Science Foundation of China(32172679)Open Research Project of Ningxia Key Laboratory for the Development and Application of Microbial Resources in Extreme Environments,China(NXTS05)financially supported this work.
文摘To improve the phosphorus(P)recovery efficiency from livestock wastewater,a novel MgO doped mildewed corn biochar with thermal pre-puffing treatment(Mg-PBC)and without pre-puffing(Mg-BC)was synthesized and tested.The thermal-puffing pretreatment improved the effectiveness of metal soaking and MgO dispersion.P recovery time with Mg-PBC(7 h)was significantly shorter than that with Mg-BC(12 h).Moreover,Mg-PBC showed significantly higher P recovery capacity(241 mg g^(−1))than Mg-BC(96.6 mg g^(−1)).P recovery capacity of the Mg-PBC fitted to the Thomas model was 90.7 mg g^(−1),which was 4 times higher than that of Mg-BC(22.9 mg g^(−1))under column test conditions.The mechanisms involved in P recovery included precipitation,surface complexation,and electrostatic interaction.After adsorption,both Mg-BC and Mg-PBC showed relatively low regeneration abilities.The P loaded Mg-BC(Mg-BC-P)and Mg-PBC(Mg-PBC-P),the later particularly,obviously increased the available P content and promoted plant growth.The release of P increased with time in the Mg-PBC-P treated soil,while it decreased with time in the P fertilizer treated soil.A cost-benefit analysis revealed that thermal-puffing pretreatment greatly increased the profit of MgO doped biochar from−0.66 to 5.90 US$kg^(−1).These findings highlight that biomass pre-puffing is a feasible treatment to produce MgO modified biochar and to recover P from livestock wastewater,and that the Mg-PBC-P can be used as a slow-release P fertilizer.
基金The research funds were supported by the Chinese Academy of Sciences under President’s International Fellowship for Postdo-ctoral Researchers Program(PIFI)(Grant No.2021PE0052).
文摘Soil inorganic carbon(SIC)accounts for about half of the C reserves worldwide and is considered more stable than soil organic carbon(SOC).However,soil acidification,driven mainly by nitrogen(N)fertilization can accelerate SIC losses,possibly leading to complete loss under continuous and intensive N fertilization.Carbonate-free soils are less fertile,productive,and more prone to erosion.Therefore,minimizing carbonate losses is essential for soil health and climate change mitigation.Rock/mineral residues or powder have been suggested as a cheaper source of amendments to increase soil alkalinity.However,slow mineral dissolution limits its efficient utilization.Soil microorganisms play a vital role in the weathering of rocks and their inoculation with mineral residues can enhance dissolution rates.Biochar is an alternative material for soil amendments,in particular,bone biochar(BBC)contains higher Ca and Mg that can induce even higher alkalinity.This review covers i)the contribution and mechanism of rock residues in alkalinity generation,ii)the role of biochar or BBC to soil alkalinity,and iii)the role of microbial inoculation for accelerating alkalinity generation through enhanced mineral dissolution.We conclude that using rock residues/BBC combined with microbial agents could mitigate soil acidification and SIC losses and also improve agricultural circularity.
基金the financial support from the National Natural Science Foundation of China(Nos.91856124,22035003,21975132,and 21991143)the Fundamental Research Funds for the Central Universities(No.63196006).
文摘Metal-organic frameworks(MOFs)have attracted significant attention in the past two decades due to their diverse physical properties and associated functionalities.Although numerous advances have been made,the acoustic properties of MOFs have attracted very little attention.Here,we systematically investigate the acoustic velocities and impedances of 19 prototypical MOFs via first-principle calculations.Our results demonstrate that these MOFs exhibit a wider range of acoustic velocities,higher anisotropy,and lower acoustic impedances than their inorganic counterparts,which are ascribed to their structural diversity and anisotropy,as well as low densities.In addition,the piezoelectric properties,which are intimately related to the acoustic properties,were calculated for 3 MOFs via density functional perturbation theory,which reveals that MOFs can exhibit significant piezoelectricity due to the ionic contribution.Our work provides a comprehensive study of the fundamental acoustic properties of MOFs,which could stimulate further interest in this new exciting field.