Thermoelectric conversion material
09761779 · 2017-09-12
Assignee
Inventors
- Hiromasa TAMAKI (Osaka, JP)
- Tsutomu KANNO (Kyoto, JP)
- Akihiro SAKAI (Nara, JP)
- Kohei Takahashi (Osaka, JP)
- Hideo Kusada (Osaka, JP)
- Yuka YAMADA (Nara, JP)
Cpc classification
C22C1/0458
CHEMISTRY; METALLURGY
C22C30/00
CHEMISTRY; METALLURGY
International classification
Abstract
A thermoelectric conversion material expressed by a chemical formula X.sub.3T.sub.3-yT′.sub.ySb.sub.4 (0.025≦y≦0.5), wherein the X includes one or more elements selected from Zr and Hf, the T includes one or more elements selected from Ni, Pd, and Pt, while including at least Ni, and the T′ includes one or more elements selected from Co, Rh, and Ir.
Claims
1. A thermoelectric conversion material expressed by a chemical formula X.sub.3T.sub.3-yT′.sub.ySb.sub.4 (0.025≦y≦0.5), wherein the X comprises one or more elements selected from Zr and Hf, the T comprises one or more elements selected from Ni, Pd, and Pt, while including at least Ni, and the T′ comprises one or more elements selected from Co, Rh, and Ir.
2. The thermoelectric conversion material according to claim 1, wherein the X is Hf.
3. The thermoelectric conversion material according to claim 1, wherein the T′ is Co.
4. The thermoelectric conversion material according to claim 1, wherein the y is within a range of 0.2≦y≦0.5.
5. The thermoelectric conversion material according to claim 3, wherein the y is within a range of 0.2≦y≦0.5.
Description
BRIEF DESCRIPTION OF DRAWINGS
(1) The present disclosure will become readily understood from the following description of non-limiting and exemplary embodiments thereof made with reference to the accompanying drawings, in which like parts are designated by like reference numeral and in which:
(2)
(3)
(4)
DETAILED DESCRIPTION
(5) According to a first aspect, a thermoelectric conversion material expressed by a chemical formula X.sub.3T.sub.3-yT′.sub.ySb.sub.4 (0.025≦y≦0.5),
(6) wherein the X comprises one or more elements selected from Zr and Hf,
(7) the T comprises one or more elements selected from Ni, Pd, and Pt, while including at least Ni, and
(8) the T′ comprises one or more elements selected from Co, Rh, and Ir.
(9) Further, as a thermoelectric conversion material of a second aspect, in the first aspect, the X is Hf.
(10) Further, as a thermoelectric conversion material of a third aspect, in the first aspect, the T′ may be Co.
(11) Further, as a thermoelectric conversion material of a fourth aspect, in the first aspect, the y may be within a range of 0.2≦y≦0.5.
(12) Further, as a thermoelectric conversion material of a fifth aspect, in the third aspect, the y may be within a range of 0.2≦y≦0.5.
(13) <Problem of Conventional Thermoelectric Conversion Material>
(14) The present inventor studied conventional thermoelectric conversion materials, for example, a thermoelectric conversion material X.sub.3Ni.sub.3Sb.sub.4 (X=Zr or Hf) including Zr.sub.3Ni.sub.3Sb.sub.4 and Hf.sub.3Ni.sub.3Sb.sub.4 described in Nonpatent Literature 1. As a result, the present inventor found a problem that although the high Seebeck coefficient S is exhibited, the conventional thermoelectric conversion material X.sub.3Ni.sub.3Sb.sub.4 (X=Zr or Hf) is oxidized in the high temperature atmosphere, thereby significantly losing the thermoelectric conversion performance.
(15) Therefore, this disclosure provides the thermoelectric conversion material X.sub.3Ni.sub.3Sb.sub.4 having a high performance index as well as high-temperature durability.
(16) The thermoelectric conversion material according to an embodiment of this disclosure will now be described with reference to the drawings.
(17) (First Embodiment)
(18) The thermoelectric conversion material X.sub.3T.sub.3-yT′.sub.ySb.sub.4 (0.025≦y≦0.5) according to a first embodiment of this disclosure will be described. X is composed of one or more elements selected from Zr and Hf; T is composed of one or more elements selected from Ni, Pd, and Pt, while including at least Ni; and T′ is composed of one or more elements selected from Co, Rh, and Ir. The compound X.sub.3T.sub.3-yT′.sub.ySb.sub.4 has symmetry of a cubic crystal belonging to a space group I-43d.
(19) A manufacturing method of this disclosure is not particularly limited. For example, the following manufacturing method as depicted in
(20) (1) First, desired amounts of ingredients containing desired elements out of Zr, Hf, Ni, Co, Rh, Ir, Pd, Pt, and Sb are weighed at a stoichiometric ratio (process P1). A composition ratio estimated from the weighed ingredients is referred to as preparation composition.
(21) (2) Among those, the ingredients containing desired elements out of Zr, Hf, Ni, Pd, Pt, Co, Rh, and Ir are alloyed by using an arc melting method to acquire an alloy A. In this process, the ingredients placed on a hearth liner are melted under an atmosphere replaced with an Ar gas at a high temperature of 2200° C. or higher by applying arc discharge plasma and are cooled to form the alloy A (process P2).
(22) (3) The acquired alloy A and the ingredient containing Sb are melted at a low temperature of 1200 to 1500° C. under an Ar atmosphere by using the arc melting method and are cooled to form an alloy B (process P3).
(23) The methods usable in the melting processes for producing the alloys A and B include not only the arc melting method but also a method using heating by a resistance heating element for melting under a vacuum state or an inert atmosphere, an induction heating method using high-frequency electromagnetic waves for melting, etc.
(24) If the density of the alloy B is increased, a spark plasma sintering method (SPS method) is used for producing a sintered body (process P4). The SPS method is a sintering technique characterized by heating a sample by applying a pulsed current while applying pressure.
(25) (a) First, the alloy B is ground and stirred by using a mortar/pestle or ball mill method to acquire powder of the alloy B. The grinding operation is desirably performed under an inert gas atmosphere so as to avoid oxidization of the powder. For this purpose, for example, a glove box may be used.
(26) (b) The acquired powder of the alloy B is filled in a cylindrical graphite die having an outer diameter of 50 mm and an inner diameter of 10 mm and this die is introduced into a vacuum of 1 Pa or less.
(27) (c) While a pressure of 50 MPa is applied from above and below the sample covered by the die, a pulsed current is applied through upper and lower punches to increase temperature to 850° C. at a rate of about 100° C./min. After increasing temperature to 850° C., the temperature is retained for 5 minutes, thereby acquiring a dense sintered body.
(28) In the sintering process, a hot press method may be used instead of the SPS method.
(29) The alloy B or the sintered body thereof can be processed into an arbitrary shape and utilized as a thermoelectric conversion material or used in measurement of physical properties of thermoelectric conversion.
(30) (Example 1)
(31) A sintered body of X.sub.3T.sub.3-yT′.sub.ySb.sub.4 was formed in accordance with an example of the manufacturing method described in the first embodiment. The sintered body was cut into a size suitable for a method of measurement described below to measure a thermal conductivity κ, an electric resistivity ρ, and a Seebeck coefficient S.
(32) A method of measurement of the thermal conductivity κ will first be described. The thermal conductivity κ is obtained by using a density n, a specific heat C, and a thermal diffusivity I as κ=n*C*I. The density n was measured by using the Archimedes method. To acquire measurement values of the thermal diffusivity I and the specific heat C, the measurement device LFA457 manufactured by NETZSCH was used for measurement by the laser flash method.
(33) For measurement of the thermal diffusivity by the laser flash method, the sintered body was cut out into a cylindrical shape of about 10 mm in diameter and 1 mm in thickness, and a sample with graphite coating applied to front and rear surfaces is introduced into an Ar atmosphere. The thermal diffusivity I was obtained from a temporal change in rear surface temperature when a laser was applied to the front surface of this sample. The laser flash method was also utilized for measurement of the specific heat of the sample by using a comparison method in which a temporal change in temperature of the sample rear surface after application of laser is compared with a sample having a known specific heat.
(34) The Seebeck coefficient S and the electric resistivity ρ were measured by using the four-terminal method with the measurement device ZEM-3 manufactured by ULVAC-RIKO. The sample was cut out into a rectangular parallelepiped of about 2 mm*2 mm*8 mm and was measured under a helium atmosphere at 0.1 atm. An electric current was applied between both ends in the longitudinal direction and probe electrodes were brought into contact with two points interposed between the both ends in the longitudinal direction to detect a potential difference and a temperature difference between the probe electrodes. The electric resistivity ρ was obtained from an applied electric current I, a voltage difference ΔV between the probe electrodes, a sample cross-sectional area S, and a probe electrode interval L by using a definitional equation ρ=ΔV/I*S/L. The Seebeck coefficient S was obtained from a ratio between the voltage difference ΔV and a temperature difference ΔT by a definitional equation S=−ΔV/AT.
(35) To verify the high-temperature durability for thermoelectric conversion material, the verification was performed based on how the thermoelectric conversion performance changed after one hour of heat treatment at 600° C. in the atmosphere. For a performance index to be verified, a power factor PF=S.sup.2/p was employed that is obtained from the electric resistivity ρ and the Seebeck coefficient S, which can be measured at the same time from the same sample. Specifically, the power factor is measured before and after the heat treatment in the atmosphere to calculate the reduction rate thereof.
(36) Lastly, the actual composition of the sintered body acquired by the manufacturing process was analyzed by using the energy dispersive X-ray spectroscopy (EDX). The EDX method is a method of measuring a ratio of an element near a sample surface from energy distribution of characteristic X-rays generated when an electron beam is applied to a sample. Even in a conventional example, composition analysis is performed by using an electron probe microanalyzer (EPMA), which is an equivalent technique. In this measurement, the composition analysis was performed at four different points on a sample surface by the EDX method to obtain the composition from the average of the four points. In this description, the overall composition is represented by adjusting the abundance of Ni atoms to three in accordance with the Nonpatent Literature 1. In a system having substitution for an Ni atom, the overall composition ratio is represented such that the total number of atoms of Ni, Co, Cu, Rh, Pd, Ir, and Pt including a substituted element is set to three. The sum of the amounts of Sb, Ge, and Sn represented in this way less than four is defined as a state of insufficient Sb.
(37) For the samples of the respective compositions, Table 1 describes the preparation compositions, the actual compositions, the values of the figure of merit ZT of the thermoelectric conversion at room temperature acquired from the measurement method described above, and the maximum values of the figure of merit ZT.
(38) TABLE-US-00001 TABLE 1 Performance Maximal Index ZT at Performance Index Room ZT.sub.max (Temperature Prepared Composition Actual Composition Temperature T.sub.max thereof) Conventional Zr.sub.3Ni.sub.3Sb.sub.4 Zr.sub.2.8Ni.sub.3Sb.sub.3.8 0.002 — Example 1 Conventional Zr.sub.3Ni.sub.3Sb.sub.4 + Sb added Zr.sub.2.88Hf.sub.0.02Ni.sub.3Sb.sub.3.9 0.002 — Example 2 Conventional Hf.sub.3Ni.sub.3Sb.sub.4 Hf.sub.2.97Zr.sub.0.1Ni.sub.3Sb.sub.3.72 0.016 — Example 3 Conventional Hf.sub.3Ni.sub.3Sb.sub.4 + Sb added Hf.sub.2.96Zr.sub.0.09Ni.sub.3Sb.sub.4.07 0.002 — Example 4 Example 1 Zr.sub.3Ni.sub.2.975Co.sub.0.025Sb.sub.4 Zr.sub.3.05Ni.sub.2.94Co.sub.0.03Sb.sub.3.88 0.113 0.257 (570 K) Example 2 Zr.sub.3Ni.sub.2.95Co.sub.0.05Sb.sub.4 Zr.sub.2.88Ni.sub.2.98Co.sub.0.06Sb.sub.3.95 0.122 0.300 (570 K) Example 3 Zr.sub.3Ni.sub.2.9Co.sub.0.1Sb.sub.4 Zr.sub.2.78Ni.sub.2.91Co.sub.0.09Sb.sub.3.78 0.205 0.519 (710 K) Example 4 Zr.sub.3Ni.sub.2.8Co.sub.0.2Sb.sub.4 Zr.sub.2.94Ni.sub.2.77Co.sub.0.16Sb.sub.4.08 0.159 0.458 (770 K) Example 5 Zr.sub.3Ni.sub.2.7Co.sub.0.3Sb.sub.4 Zr.sub.3.16Ni.sub.2.76Co.sub.0.24Sb.sub.4.12 0.103 0.307 (760 K) Example 6 Zr.sub.3Ni.sub.2.5Co.sub.0.5Sb.sub.4 Zr.sub.3.2Ni.sub.2.52Co.sub.0.48Sb.sub.4.01 0.103 0.329 (850 K) Comparative Zr.sub.3Ni.sub.3Sb.sub.4 Zr.sub.3.07Ni.sub.3Sb.sub.4.14 0.013 0.044 (760 K) Example 1 Comparative Zr.sub.3Ni.sub.2.99Co.sub.0.01Sb.sub.4 Zr.sub.3.12Ni.sub.2.98Co.sub.0.01Sb.sub.3.9 0.082 0.170 (520 K) Example 2 Comparative Zr.sub.3Ni.sub.2.3Co.sub.0.7Sb.sub.4 Zr.sub.2.78Ni.sub.2.91Co.sub.0.09Sb.sub.3.78 0.084 0.275 (800 K) Example 3 Example 7 Zr.sub.2HfNi.sub.2.9Co.sub.0.1Sb.sub.4 Zr.sub.1.98Hf.sub.1.03Ni.sub.2.96Co.sub.0.12Sb.sub.3.87 0.189 0.482 (710 K) Example 8 ZrHf.sub.2Ni.sub.2.9Co.sub.0.1Sb.sub.4 Zr.sub.1.04Hf.sub.1.03Ni.sub.2.89Co.sub.0.08Sb.sub.3.95 0.158 0.420 (710 K) Example 9 Hf.sub.3Ni.sub.2.9Co.sub.0.1Sb.sub.4 Hf.sub.3.1Ni.sub.2.97Co.sub.0.1Sb.sub.4.01 0.180 0.504 (760 K) Example 10 Zr.sub.3Ni.sub.2.6Pd.sub.0.3Co.sub.0.1Sb.sub.4 Zr.sub.2.86Ni.sub.2.54Pd.sub.0.36Co.sub.0.1Sb.sub.4.12 0.189 0.663 (710 K) Example 11 Zr.sub.3Ni.sub.2.6Pt.sub.0.3Co.sub.0.1Sb.sub.4 Zr.sub.3.21Ni.sub.2.55Pt.sub.0.32Co.sub.0.09Sb.sub.3.86 0.207 0.606 (710 K) Comparative Zr.sub.3Ni.sub.2.7Pd.sub.0.3Sb.sub.4 Zr.sub.3.09Ni.sub.2.72Pd.sub.0.28Sb.sub.3.84 0.020 0.065 (470 K) Example 4 Comparative Zr.sub.3Ni.sub.2.7Pt.sub.0.3Sb.sub.4 Zr.sub.2.83Ni.sub.2.74Pt.sub.0.26Sb.sub.3.99 0.030 0.116 (520 K) Example 5
(39) Conventional examples 1 to 4 described in Table 1 are calculated from the measurement values described in Nonpatent Literature 1 and only the values of the figure of merit at room temperature are reported. In the conventional examples 2 and 4, the actual composition slightly contains Hf although the preparation composition does not contain Hf. In the conventional example 3, the actual composition slightly contains Zr although the preparation composition does not contain Zr. It is considered this is because Zr or Hf used as ingredients in Nonpatent Literature 1 contained Hf or Zr as an impurity at about 1%.
(40) Examples 1 to 6 and comparison examples 1 to 3 in Table 1 indicate the values at room temperature and the maximum values of the figure of merit ZT for the samples having Co substituted for Ni in Zr.sub.3Ni.sub.3Sb.sub.4. The Co substitution provides the p-type electrical characteristics and results in a significant increase in the figure of merit ZT. Particularly, the maximum value of the figure of merit ZT is acquired at y=0.1, indicating high values of 0.205 at room temperature of 300 K and 0.519 at high temperature of 710 K.
(41) Examples 7 to 9 in Table 1 indicate the figure of merit ZT when Hf is substituted for Zr in Zr.sub.3Ni.sub.2.9Co.sub.0.1Sb.sub.4 providing the optimum figure of merit ZT. It can be confirmed that the high figure of merit ZT exceeding 0.4 can be achieved by the Co substitution not only in Zr.sub.3Ni.sub.3Sb.sub.4 and Hf.sub.3Ni.sub.3Sb.sub.4 already reported but also in Zr.sub.3-xHf.sub.xNi.sub.3Sb.sub.4, which is an alloy thereof.
(42) Examples 12, 13 of Table 2 indicate the figure of merit ZT in the case of substitution by Rh and Ir instead of Co. The Rh substitution and the Ir substitution also provide the p-type electrical characteristics and result in a significant increase in the figure of merit ZT. Rh and Ir are the group 9 elements as is the case with Co and it is considered that the Rh substitution and the Ir substitution play a role in improvement in the figure of merit in the same way as the Co substitution.
(43) TABLE-US-00002 TABLE 2 Maximal Performance Performance Index ZT Index ZT.sub.max Prepared at Room (Temperature Composition Actual Composition Temperature T.sub.max thereof) Example 12 Zr.sub.3Ni.sub.2.9Rh.sub.0.1Sb.sub.4 Zr.sub.3.06Ni.sub.2.88Rh.sub.0.12Sb.sub.4.12 0.102 0.333(670K) Example 13 Zr.sub.3Ni.sub.2.5Rh.sub.0.5Sb.sub.4 Zr.sub.3.02Ni.sub.2.51Rh.sub.0.49Sb.sub.3.95 0.075 0.203(710K) Example 14 Zr.sub.3Ni.sub.2.9Ir.sub.0.1Sb.sub.4 Zr.sub.3.05Ni.sub.2.91Ir.sub.0.09Sb.sub.4.03 0.136 0.407(670K) Example 15 Zr.sub.3Ni.sub.2.5Ir.sub.0.5Sb.sub.4 Zr.sub.2.94Ni.sub.2.46Ir.sub.0.54Sb.sub.3.91 0.086 0.258(760K)
(44) To evaluate the high-temperature durability, Zr.sub.3-x(Hf.sub.xNi.sub.3-yCo.sub.ySb.sub.4 was examined in terms of how the power factor PF at room temperature changes after one hour of heat treatment at 600° C. in the atmosphere. The heat treatment in the atmosphere blackened the surface of the sample and resulted in deterioration of the power factor associated with formation of ZrO.sub.2 and Ni—Sb alloy.
(45) Table 3 is a table describing the values of the power factor before and after the heat treatment in the atmosphere and the reduction rate thereof for Zr.sub.3Ni.sub.3-yCo.sub.ySb.sub.4. Table 2 describes a degree of reduction in the power factor at X=0 (when Hf is not contained) in Zr.sub.3-xHf.sub.xNi.sub.3-yCo.sub.ySb.sub.4 described above.
(46) On the other hand, unlike the tendency of the high-temperature durability, as depicted in
(47) Therefore, if this material is used as the thermoelectric conversion material excellent in high-temperature durability, the range of the Co amount is preferably a range of 0.025≦y≦0.5, more preferably 0.2≦y≦0.5, in consideration of two viewpoints, i.e., the viewpoint of the reduction rate of the power factor and the viewpoint of the power factor.
(48) TABLE-US-00003 TABLE 3 Power Factor before the Power Factor after the reduction heat treatment heat treatment rate y (mW/(m .Math. K.sup.2)) (mW/(m .Math. K.sup.2)) (%) 0 0.164 0.044 72.8 0.01 0.747 0.204 72.8 0.025 1.157 0.760 34.3 0.05 1.264 0.881 30.3 0.1 1.560 1.283 17.7 0.2 1.178 1.072 9.0 0.3 0.886 0.867 2.1 0.5 0.755 0.726 3.8 0.7 0.634 0.619 2.3
(49) Table 4 is a table describing the values of the power factor before and after the heat treatment and the reduction rate thereof in Zr.sub.3-xHf.sub.xNi.sub.2.9Co.sub.0.1Sb.sub.4. Specifically, the high-temperature durability of Zr.sub.3-xHf.sub.xNi.sub.2.9Co.sub.0.1Sb.sub.4 having Hf substituted for Zr is described for the material having the Co substitution amount y=0.1 giving the maximum values of the figure of merit ZT and the power factor PF. Referring to Table 3, since the reduction rate of the power factor is suppressed to 20% or less for any Hf amount of 0≦x≦3, it is found that the high-temperature durability is not limited by the proportion of Zr and Hf.
(50) TABLE-US-00004 TABLE 4 Power Factor Power Factor before the heat after the heat reduction x treatment (mW/(m .Math. K.sup.2)) treatment (mW/(m .Math. K.sup.2)) rate (%) 0 1.560 1.283 17.7 1 1.230 1.170 4.8 2 0.899 0.815 9.3 3 0.933 0.818 12.3
(51) Table 5 describes the results of the materials acquired by substituting Pd and Pt for Ni in Zr.sub.3Ni.sub.3-yCo.sub.ySb.sub.4 when changes in the power factor before and after the heat treatment in the atmosphere are measured in the same way as Tables 2 and 3. Referring to Table 4, as is the case with the experimental result of Table 2, the high-temperature durability is improved by substituting Co for a portion of Ni.
(52) TABLE-US-00005 TABLE 5 Power Factor Power Factor before the after the heat reduction Prepared heat treatment treatment rate composition Actual Composition (mW/(m .Math. K.sup.2)) (mW/(m .Math. K.sup.2)) (%) Zr.sub.3Ni.sub.2.6Pd.sub.0.3Co.sub.0.1Sb.sub.4 Zr.sub.2.86Ni.sub.2.54Pd.sub.0.36Co.sub.0.1Sb.sub.4.12 1.414 1.257 11.1 Zr.sub.3Ni.sub.2.6Pt.sub.0.3Co.sub.0.1Sb.sub.4 Zr.sub.3.21Ni.sub.2.55Pt.sub.0.36Co.sub.0.09Sb.sub.3.86 1.340 1.373 16.3 Zr.sub.3Ni.sub.2.7Pd.sub.0.3Sb.sub.4 Zr.sub.3.29Ni.sub.2.72Pd.sub.0.28Sb.sub.3.84 0.188 0.047 74.6 Zr.sub.3Ni.sub.2.7Pt.sub.0.3Sb.sub.4 Zr.sub.2.83Ni.sub.2.74Pt.sub.0.26Sb.sub.3.99 0.199 0.038 80.6
(53) Table 6 describes the values of the power factor before and after the heat treatment in the atmosphere and the reduction rate thereof in Zr.sub.3Ni.sub.3-yRH.sub.ySb.sub.4 or Zr.sub.3Ir.sub.3-yCo.sub.ySb.sub.4. Even when another group 9 element Rh or Ir is substituted instead of Co, the effect of increasing the high-temperature durability is provided as is the case with the Co substitution.
(54) TABLE-US-00006 TABLE 6 Power Factor Power Factor before the heat after the heat reduction Prepared treatment treatment rate Composition Actual Composition (mW/(m .Math. K.sup.2)) (mW/(m .Math. K.sup.2)) (%) Zr.sub.3Ni.sub.2.9Rh.sub.0.1Sb.sub.4 Zr.sub.3.06Ni.sub.2.88Rh.sub.0.12Sb.sub.4.12 1.141 1.005 11.9 Zr.sub.3Ni.sub.2.5Rh.sub.0.5Sb.sub.4 Zr.sub.3.02Ni.sub.2.51Rh.sub.0.49Sb.sub.3.95 0.677 0.662 2.2 Zr.sub.3Ni.sub.2.9Ir.sub.0.1Sb.sub.4 Zr.sub.3.05Ni.sub.2.91Ir.sub.0.09Sb.sub.4.03 1.477 1.204 18.5 Zr.sub.3Ni.sub.2.5Ir.sub.0.5Sb.sub.4 Zr.sub.2.94Ni.sub.2.46Ir.sub.0.54Sb.sub.3.91 0.718 0.698 2.8
(55) As described above, according to the thermoelectric conversion material X.sub.3T.sub.3YT′.sub.ySb.sub.4 (0.025≦y≦0.5; X is one or more elements selected from Zr and Hf; T is one or more elements selected from Ni, Pd, and Pt, while including at least Ni; T′ is one or more elements selected from Co, Rh, and Ir) of this discloser, a predetermined range (0.025≦y≦0.5) of Co can be substituted for T including Ni to provide the predetermined power factor and improve the high-temperature durability.
(56) The thermoelectric conversion material according to this disclosure can be used for configuring an element performing thermoelectric power generation or thermoelectric cooling.
EXPLANATIONS OF LETTERS OR NUMERALS
(57) 11 atom position (black) of Zr or Hf in a Zr.sub.3-xHf.sub.xT.sub.3-yT′.sub.ySb.sub.4 crystal 12 atom position (grey) of T=Ni, Pd, Pt, or T′=Co, Rh, Ir in the Zr.sub.3-xHf.sub.xT.sub.3-yT′.sub.ySb.sub.4 crystal atom position (white) of Sb in the Zr.sub.3-xHf.sub.xT.sub.3-yT′.sub.ySb.sub.4 crystal