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At least 91 records · Page 5

Optical and electrical properties of Cu-based all oxide semi-transparent photodetector

Zero-bias operating Cu oxide-based photodetector was achieved by using large-scale available sputtering method. Cu oxide (Cu{sub 2}O or CuO) was used as p-type transparent layer to form a heterojunction by contacting n-type ZnO layer. All metal-oxide materials were employed to realize transparent device at room temperature and showed a high transparency (>75% at 600 nm) with excellent photoresponses. The structural, morphological, optical, and electrical properties of Cu oxides of CuO and Cu{sub 2}O are evaluated in depth by UV-visible spectrometer, X-ray diffraction, scanning electron microscopy, atomic force microscopy, Kelvin probe force microscopy, and Hall measurements. We may suggest a route of high-functional Cu oxide-based photoelectric devices for the applications in flexible and transparent electronics.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Structural and Phase Transformations in Alloys during Spark Plasma Sintering of Ti + 23.5 at % Al + 21 at % Nb Powder Mixtures

We have studied the effect of sintering temperature on the structural and phase transformations of alloys produced by the spark plasma sintering of Ti + 23.5 at % Al + 21 at % Nb powder mixtures at temperatures in the range 1100–1550°C. The sintered alloys have been characterized by X-ray diffraction, scanning electron microscopy, and energy dispersive X-ray spectroscopy (elemental X-ray mapping). The alloys sintered at temperatures of 1100 and 1200°C have been shown to have a nonuniform microstructure. According to electron microscopy results, the alloys consist of grains of the α{sub 2} and Nb{sub 2}Al phases and small precipitates of the O-phase (intermetallic compound Ti{sub 2}AlNb). In addition, there are particles of unreacted niobium and titanium. The alloys sintered at a temperature of 1300°C have a uniform lamellar structure.

36 MATERIALS SCIENCE↗

Synthesis of Hybrid Materials Based on Iron Nanoparticle-Decorated Multiwalled Carbon Nanotubes

Fe-containing nanoparticles have been grown for the first time on the surface of multiwalled carbon nanotubes by metalorganic chemical vapor deposition using iron acetylacetonate, Fe(acac){sub 3}, as a precursor. The resultant hybrid nanomaterial has been characterized by X-ray diffraction, scanning electron microscopy, high-resolution transmission electron microscopy, and thermogravimetric analysis. The results demonstrate that the synthesized material consists of multiwalled carbon nanotubes whose surface is decorated with iron nanoparticles.

77 NANOSCIENCE AND NANOTECHNOLOGY↗

Study on Microwave Performance of Low-Temperature Sintered, Ba(CoTi){sub 1.5}Fe{sub 9}O{sub 19} Ferrite for Application at UHF Frequency

M-type barium ferrite, Ba(CoTi){sub 1.5}Fe{sub 9}O{sub 19}, was synthesized via the solid-state reaction method. BBSZ, i.e., B{sub 2}O{sub 3} −Bi{sub 2}O{sub 3} −SiO{sub 2} −ZnO, was added to adjust the sintering temperature to values lower than that of silver (i.e., ∼961 °C). The phase formation characteristics, microstructure, magnetic, and microwave properties were characterized by x-ray diffraction, scanning electron microscope, vibrating sample magnetometer, and impedance analyzer, respectively. The results show that densification of samples were enhanced by increasing the amount of BBSZ with corresponding gains realized in magnetic properties. Such enhanced properties in Ba(CoTi){sub 1.5}Fe{sub 9}O{sub 19} are attributed to the low-melting point experienced as the result of BBSZ glass additives which gave rise to the stabilization of a liquid phase during sintering.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Characterization and Integrated Fabrication of Al Components with Thick TiC{sub p}/Al Composite Coatings via Self-Propagating Reaction

A novel and quick process combining self-propagating reaction with vacuum-expendable pattern casting is presented to accomplish integrated preparation of millimeter-thick TiC{sub p}/Al composite coatings on the Al substrate. Titanium and graphite powders were mixed with the polytetrafluoroethylene (PTFE) additive and pasted on the expendable polystyrene (EPS) followed by compaction. Al components with in situ TiC{sub p}/Al composite coating were simultaneously synthesized at a relatively low temperature of molten Al, which was poured into the assembly of EPS and powder compact inside the silica sands. Differential scanning calorimetry, x-ray diffraction, scanning electron microscopy with energy-dispersive spectroscopy and transmission electron microscopy were used to systematically investigate the thermodynamic characteristics of the reaction, the phase constituents, microstructure and tribological properties of the coatings. The infiltration model describing the densification of the reaction coatings was also developed for the critical wetting condition. The wear characteristics were assessed using a pin-on-disk tribometer with various loads. Results showed that uniform TiC particles stimulated by the PTFE-activated self-propagating reaction afforded superior mechanical properties and wear resistance.

36 MATERIALS SCIENCE↗

Microstructural characteristics of σ phase and P phase in Ru-containing single crystal superalloys

Microstructural instability caused by topologically close-packed (TCP) phase precipitation restricts the useful compositional range of advanced Ni-base single crystal superalloys in industrial applications. Limited systematic investigations of TCP formers (Cr and Mo) additions on microstructural evolution of both the σ phase and the P phase in Ru-containing single crystal superalloys have been reported. In this study, the microstructural characteristics of σ phase and P phase were investigated in three Ru-containing superalloys with different levels of Cr and Mo additions at 950 °C and 1100 °C by using phase extraction, X-ray diffraction, scanning electron microscope and high resolution transmission electron microscopy. The experimental results indicated that the high level additions of Cr and Mo promoted the formation of σ phase and P phase, respectively. The amount of σ phase was much higher than that of P phase after long term exposure at 950 °C and 1100 °C. The sheet-like σ phase existed in the alloy with higher Cr addition after thermal exposure at 950 °C and 1100 °C for 1000 h, while the needle-like P phase precipitated in high Mo content alloy after thermal exposure at 1100 °C for 1000 h and the intergrowth of σ phase and P phase was observed after thermal exposure at 950 °C for 500 h. Both the σ phase and P phase were enriched in Re, W, Cr and Mo, but the σ phase contained more Re and Cr while the P phase contained more Mo and Ni, and Ru was found in both phases. The nucleation of σ phase was much easier than P phase due to the more ledge steps in the interfacial structure between σ phase and matrix, as well as the higher partitioning ratios of Re, Cr and Mo. This study is helpful to understand the microstructural evolution of σ phase and P phase, and to optimize the alloy design in Ru-containing superalloys. - Highlights: •Microstructures of σ phase and P phase were characterized in detail. •Cr and Mo influenced the precipitation of σ phase and P phase, respectively. •Partitioning ratios and interfacial relationship decided precipitation behaviors.

36 MATERIALS SCIENCE↗

Composite electrolytes ceramic Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12}/glassy Li{sub 2}O-Y{sub 2}O{sub 3}-SiO{sub 2}

Highlights: • We synthesized Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12}-x wt% 40.2Li{sub 2}O·5.7Y{sub 2}O{sub 3}·54.1SiO{sub 2} (x = 1–10) composites. • Density of the composite samples is higher than one of the sintered Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12}. • The composition with x = 5 has high total conductivity, 2.5 × 10{sup −5} S cm{sup −1} at 25 °C. - Abstract: We have investigated the effect of lithium yttrium-silicate glass 40.2Li{sub 2}O·5.7Y{sub 2}O{sub 3}·54.1SiO{sub 2} on the density and total conductivity of tetragonal Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12}. An optimal sintering temperature (1200 °C) was selected on the basis of a composite with 1 wt% of the glass having the highest density and total conductivity after annealing at this temperature. A series of composites Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12}-x wt% 40.2Li{sub 2}O·5.7Y{sub 2}O{sub 3}·54.1SiO{sub 2} (x = 1–10) was prepared. The samples were characterized by X-ray diffraction, scanning electron microscopy and differential scanning calorimetry. The data revealed that the sintering additive interacted with Li{sub 7}La{sub 3}Zr{sub 2}O{sub 12}, causing the glass to crystallize during annealing. The conductivity of the composites was studied using complex impedance spectroscopy over a temperature range of 20–250 °C. The composite with x = 5 exhibited the highest total conductivity at room temperature: 2.5 × 10{sup −5} S cm{sup −1}.

36 MATERIALS SCIENCE↗

Ti3+-TiO2/Ce3+-CeO2 Nanosheet heterojunctions as efficient visible-light-driven photocatalysts

Highlights: • A novel Ti{sup 3+}-TiO{sub 2}/Ce{sup 3+}-CeO{sub 2} nanosheet heterojunction is fabricated. • It owns the bandgap of 2.6 eV and extends the photoresponse to visible light region. • It exhibits excellent visible-light-driven photocatalytic performance. • It is due to synergy of Ti{sup 3+}, Ce{sup 3+} co-doping and nanosheet heterojunction. - Abstract: Novel Ti{sup 3+}-TiO{sub 2}/Ce{sup 3+}-CeO{sub 2} nanosheet heterojunctions are successfully prepared via a facile hydrothermal approach combined with a wet-chemical deposition precipitation and an in situ solid-state chemical reduction strategy. The structures of the as-prepared samples are characterized in detail by X-ray diffraction, scanning electron microscopy, transmission electron microscopy, atomic force microscopy, X-ray photoelectron spectroscopy and UV–vis diffuse reflectance spectroscopy. The results show that Ti{sup 3+} and Ce{sup 3+} are both doped into the lattice of TiO{sub 2} and CeO{sub 2}, respectively, which narrow the band gap to 2.7 eV and extend the photoresponse to visible light region. The photocatalytic degradation rate of methyl orange and methylene blue are as high as 93.3% and 97.1% under visible-light illumination, respectively. The high degradation rate is attributed to the efficient doping of Ti{sup 3+} and Ce{sup 3+}, formation of surface oxygen vacancy and heterojunction, which favors the absorption of visible light and separation of photogenerated charge carriers.

77 NANOSCIENCE AND NANOTECHNOLOGY↗

Study of the physical properties of CuS thin films grown by SILAR method

CuS thin films were obtained using the SILAR method on an amorphous glass substrate. All experiments were performed at room temperature. CuS thin films were deposited at 30, 40, 50 and 60 cycles, respectively. Structural, morphological and optical properties of the structures that increase the thickness of nanostructured CuS thin films were investigated. X-ray diffraction, scanning electron microscopy, atomic force microscopy, RAMAN and optical absorption measurements were carried out in order to examine the physical properties of CuS thin films. As a result of the analysis, we can say that the thickness increase positively affects the crystal structure of CuS thin films. In addition, the energy bandgap range of CuS thin films ranged from 2.22 to 1.78 eV. Analysis results of CuS thin films using SILAR method show that thickness is an important factor for thin film studies.

77 NANOSCIENCE AND NANOTECHNOLOGY↗

Synthesis of heterostructured Pd@TiO{sub 2}/TiOF{sub 2} nanohybrids with enhanced photocatalytic performance

Highlights: • TiO{sub 2}/TiOF{sub 2} nanohybrids was synthesized via a two-step solvothermal method. • TiO{sub 2}/TiOF{sub 2} exhibited superior photoactivity in comparison with TiOF{sub 2} or TiO{sub 2}. • The photocatalytic activity was further improved by loading Pd nanoparticles. • Synergistic effect between TiOF{sub 2} and TiO{sub 2} was responsible for the enhanced photocatalytic performance over TiO{sub 2}/TiOF{sub 2}. - Abstract: TiO{sub 2}/TiOF{sub 2} heterostructured nanocomposites has been synthesized through a solvothermal method and characterized by X-ray diffraction, scanning electronic microscopy, transmission electronic microscopy, nitrogen adsorption–desorption isotherms, UV–vis and photo-luminescent spectroscopy. It was found that, compared with single TiOF{sub 2} or TiO{sub 2}, the as-prepared TiO{sub 2}/TiOF{sub 2} nanocomposites exhibited superior photoactivity towards the degradation of organic pollutants, i.e. rhodamine B and solar hydrogen evolution. The results are in accordance with the prohibition of photogenerated electrons and holes recombination in these two samples under light illumination. The photocatalytic activity can be further boosted by introducing Pd nanoparticles onto the surfaces of TiO{sub 2}/TiOF{sub 2} through a simple deposition method without using any stabilizers, which is probably attributed to the enhanced visible-light absorption as well as the facilitated charge-carrier separation after the introduction of Pd nanoparticles. The synergistic effect between TiOF{sub 2} and TiO{sub 2} was discussed and was responsible for the enhancement of their activity in comparison with single counterpart.

36 MATERIALS SCIENCE↗

Starch-assisted synthesis and optical properties of ZnS nanoparticles

Highlights: • ZnS spherical nanostructure was prepared via starch-assisted method. • The crystalline lattice structure, morphologies, chemical and optical properties of ZnS nanoparticles. • The forming mechanism of ZnS nanoparticles. • ZnS spherical nano-structure can show blue emission at 460–500 nm. - Abstract: ZnS nanoparticles are fabricated via starch-assisted method. The effects of different starch amounts on structure and properties of samples are investigated, and the forming mechanism of ZnS nanoparticles is discussed. By X-ray diffraction (XRD), high resolution transmission electron microscopy (HRTEM) and selected area electron diffraction (SAED), scanning electron microscopy (SEM), Fourier transform infrared spectroscopy (FTIR), ultraviolet–visible (UV–vis) spectroscopy and fluorescence (FL) spectrometer, their phases, crystalline lattice structure, morphologies, chemical and optical properties are characterized. The results show that ZnS has polycrystalline spherical structure with the mean diameter of 130 nm. Sample without starch reveals irregular aggregates with particle size distribution of 0.5–2 μm. The band gap value of ZnS is 3.97 eV. The chemical interaction exists between starch molecules and ZnS nanoparticles by hydrogen bonds. The stronger FL emission peaks of ZnS synthesized with starch, indicate a larger content of sulfur vacancies or defects than ZnS synthesized without starch.

36 MATERIALS SCIENCE↗

Superconducting Performance, Structure, Microstructure, and Trapped Field of Top-Seeded Melt-Processed Bulk Y{sub 3}Ba{sub 5}Cu{sub 8}O{sub x}

The sintering temperature for the production of Y{sub 3}Ba{sub 5}Cu{sub 8}O{sub 18} (Y-358) preform powders synthesized in sol-gel spontaneous combustion technique was optimized. A large single-grain bulk Y-358 crystal was fabricated employing a top-seeded melt-growth technique utilizing the optimally sintered preform powders (i.e., at 900 {sup ∘}C for 12 h). Structural, microstructural, elemental, and magnetic properties were investigated by means of X-ray diffraction, scanning electron microscopy, and SQUID, respectively. The structural characterization indicated that the sample is highly textured in (00l) direction. The Y-358 phase fractions were estimated in both preform powders and bulk sample using Rietveld refinement. The onset of superconducting transition is observed at 92.5 K, and the curve is very sharp indicative of the high quality of the produced bulk sample. The field dependence of critical current density (J{sub c}) was determined at 77 K, and the self-field J{sub c} was found to be ∼26 kA/cm{sup 2}. A magnetic field of 0.27 T was trapped by the sample at 77 K.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Study on Tribological Properties of CoCrMo Alloys against Metals and Ceramics as Bearing Materials for Artificial Cervical Disc

CoCrMo alloys are believed to be a kind of potential material for artificial cervical disc. However, the tribological properties of CoCrMo alloys against different metals and ceramics are not systematically studied. In this study, the tribological behaviors of CoCrMo alloys against metals (316L, Ti6Al4V) and ceramics (Si{sub 3}N{sub 4}, ZrO{sub 2}) were focused under dry friction and 25 wt.% newborn calf serum (NCS)-lubricated conditions using a ball-on-disc apparatus under reciprocating motion. The microstructure, composition and hardness of CoCrMo alloys were characterized using x-ray diffraction, scanning electron microscopy (SEM) and hardness testers, respectively. The contact angles of the CoCrMo alloys with deionized water and 25 wt.% NCS were measured by the OCA contact angle measuring instrument. The maximum wear width, wear depth and wear volume were measured by three-dimensional white light interference. The morphology and the EDX analysis of the wear marks on CoCrMo alloys were examined by SEM to determine the basic mechanism of friction and wear. The dominant wear mechanism in dry friction for CoCrMo alloys against all pairings was severe abrasive wear, accompanied with a lot of material transfer. Under 25 wt.% NCS-lubricated condition, the wear mechanism for CoCrMo alloys against ceramics (Si{sub 3}N{sub 4}, ZrO{sub 2}) was also mainly severe abrasive wear. However, severe abrasive wear and electrochemical corrosion occurred for the CoCrMo-316L pairing under lubrication. Severe abrasive wear, adhesive wear and electrochemical corrosion occurred for the CoCrMo-Ti6Al4V pairing under lubrication. According to the results, the tribological properties of CoCrMo alloys against ceramics were better than those against metals. The CoCrMo-ZrO{sub 2} pairing displayed the best tribological behaviors and could be taken as a potential candidate bearing material for artificial cervical disc.

36 MATERIALS SCIENCE↗

Optimization of Interlayer/CrWN Bilayer Films Fabricated and Monitored under Shewhart Control

Chromium tungsten nitride (CrWN) films were deposited onto SUS 304 stainless steel, cutter inserts and glass substrates using direct current reactive magnetron sputtering, with pure W and Cr metal targets. The deposition parameters for the interlayer (W and WN) with multiple qualities were optimized using the gray Taguchi method. The microstructure of these coatings was determined using x-ray diffraction, scanning electron microscopy, energy dispersive spectroscopy and transmission electron microscopy. The results showed that the mechanical properties of bilayer samples with an interlayer of WN nitride film are superior to those with a W metal interlayer. Moreover, increasing the N{sub 2}/(N{sub 2} + Ar) flow ratio and working pressure enhanced the microhardness and the elastic recovery for coatings with an interlayer/CrWN bilayer. Dry milling tests also showed that bilayer film coatings have better mechanical performance. This increase in multiple performance characteristics is attributed to a bilayer that is manufactured using the gray Taguchi method. Control charts, which are powerful tools and widely used, were employed to monitor and ensure high-quality fabrication of the interlayer/CrWN bilayer and to show the coating processes to be stable and well regulated.

36 MATERIALS SCIENCE↗

Catalytic activities of two different morphological nano-MnO2 on the thermal decomposition of ammonium perchlorate

Highlights: • Nano-MnO{sub 2} was produced easily. • Nano-MnO{sub 2} can promote the decomposition of AP. • Sea-urchin nano-MnO{sub 2} is a superior catalyst. - Abstract: In order to investigate the catalytic activity of nano-MnO{sub 2} on the thermal decomposition of ammonium perchlorate, two different shapes of nano-MnO{sub 2} (sea-urchin and linear) were prepared by the hydrothermal method with MnSO{sub 4}·H{sub 2}O and Na{sub 2}S{sub 2}O{sub 8}, MnSO{sub 4}·H{sub 2}O and (NH{sub 4}){sub 2}S{sub 2}O{sub 8}, respectively. X-ray diffraction, scanning electron microscopy and the nitrogen adsorption/desorption analysis were used to characterize the structure of the nanocomposites. The sea-urchin nano-MnO{sub 2} possesses a greater specific surface area than the linear nano-MnO{sub 2}. The catalytic properties of nano-MnO{sub 2} on the thermal decomposition of ammonium perchlorate (AP) were demonstrated by differential scanning calorimeter (DSC). As show in the DSC carves, the addition of the sea-urchin nano-MnO{sub 2} got the thermal decomposition peak temperature of AP reduced much more than the addition of the linear nano-MnO{sub 2}, the low-temperature decomposition process even disappeared, and the high-temperature pyrolysis peak temperature decreased by 94.6 °C. All evidences indicated that the sea-urchin nano-MnO{sub 2} is a better catalytic than the linear one.

77 NANOSCIENCE AND NANOTECHNOLOGY↗

Beneficiation of ilmenite from lumar analog

The results reported were obtained on a meteoric eucrite sample called Millbillillie Sample no. 173. Optical microscopy studies of the sample showed it to consist of ilmenite, troilite, and transparent gangue. The transparent gangue consisted of feldspar (anorthite), pyroxenes, olivines, and opaques. Troilite was present in minor quantities. Screen assay analyses of the 30, 100, 200, and 400 US mesh screen fractions showed that minor concentration of titanium occurred in the 200 x 400 and -400 mesh screen fractions. Scanning electron microscopy (SEM) studies of the bulk sample showed the presence of a variety of ilmenite grains, ranging from 50 microns down to less than 1 micron without any evidence of liberation. Electron Diffraction Scans (EDS) confirmed the ratio of Fe to Ti in the ilmenite grains. Dry magnetic separation in a Frantz Isodynamic Separator was found to be effective only at sizes finer than 150 microns (100 US mesh) and more so at 200 mesh (74 microns). In each case, dedusting of the sample to remove -400 mesh (-0.037 microns) fines was required. Liberation size was determined to be 200 mesh and finer. The highest grade concentrate assaying 3.45 percent Ti was produced by magnetic separation of the -200 + 400 mesh screen fraction assaying 0.44 Ti (from a -30 mesh sample) at a current setting of 0.35 AMP. This concentrate contained 21.2 percent of the Ti values in the screen fraction with 2.72 weight percent of feed to test. The results can be projected to a sample stage ground to -200 mesh. Magnetic separation of the 200 + 400 mesh (-0.074 + 0.037 microns) should produce a concentrate accounting for 1.41 weight percent of the feed. This concentrate will analyze 3.45 percent Ti and contain 10.3 percent of the Ti values in the feed. By changing the Frantz Magnetic Separator settings, a lower grade concentrate analyzing 0.98 percent Ti can be produced at an increased recovery of 25.4 percent. The concentrate weight will be 11.7 percent of the feed. It must be emphasized that improved grades and recoveries can be obtained with the -400 mesh fines. However, beneficiation of these extremely fine materials is not possible in a practical process scheme.

Ramadorai, G.↗

Improvement of the Magnetization and Coercivity of La{sub 0.67}Ca{sub 0.33}MnO{sub 3} Induced by Substitution of Nickel for Manganese

La{sub 0.67}Ca{sub 0.33}Mn{sub 1−x}Ni{sub x}O{sub 3} (0 ≤x ≤ 0.3) is synthesized by solid-state reaction at low temperatures, followed by calcination in air. The precursor and its calcined products are characterized by thermogravimetry and differential scanning calorimetry, x-ray powder diffraction, scanning electron microscopy, and vibrating sample magnetometer. A high-crystallized La{sub 0.67}Ca{sub 0.33}Mn{sub 1−x}Ni{sub x}O{sub 3} with an orthorhombic structure is obtained when the precursor is calcined at 900{sup ∘}C in air for 3 h. Crystallite size of La{sub 0.67}Ca{sub 0.33}Mn{sub 1−x}Ni{sub x}O{sub 3} increases with the increase of Ni content, attributed to the decrease of lattice strains of the La{sub 0.67}Ca{sub 0.33}Mn{sub 1−x}Ni{sub x}O{sub 3} with the increase in Ni content. Nickel substitution can markedly improve coercivity and specific magnetization of La{sub 0.67}Ca{sub 0.33}Mn{sub 1−x}Ni{sub x}O{sub 3}. The coercive field (9 Oe) of La{sub 0.67}Ca{sub 0.33}Mn{sub 0.7}Ni{sub 0.3}O{sub 3} is higher, even at 293 K, indicating that La{sub 0.67}Ca{sub 0.33}Mn{sub 0.7}Ni{sub 0.3}O{sub 3} continues being ferromagnetic above 260 K (Curie temperature for LCMO).

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Solid Phase Equilibrium Relations in the CaO-SiO{sub 2}-Nb{sub 2}O{sub 5}-La{sub 2}O{sub 3} System at 1273 K

Silicate slag system with additions Nb and RE formed in the utilization of REE-Nb-Fe ore deposit resources in China has industrial uses as a metallurgical slag system. The lack of a phase diagram, theoretical, and thermodynamic information for the multi-component system restrict the comprehensive utilization process. In the current work, solid phase equilibrium relations in the CaO-SiO{sub 2}-Nb{sub 2}O{sub 5}-La{sub 2}O{sub 3} quaternary system at 1273 K (1000 °C) were investigated experimentally by the high-temperature equilibrium experiment followed by X-ray diffraction, scanning electron microscope, and energy dispersive spectrometer. Six spatial independent tetrahedron fields in the CaO-SiO{sub 2}-Nb{sub 2}O{sub 5}-La{sub 2}O{sub 3} system phase diagram were determined by the Gibbs Phase Rule. The current work combines the mass fraction of equilibrium phase and corresponding geometric relation. A determinant method was deduced to calculate the mass fraction of equilibrium phase in quaternary system according to the Mass Conservation Law, the Gibbs Phase Rule, the Lever’s Rule, and the Cramer Law.

36 MATERIALS SCIENCE↗