the superconducting material according to the present invention has a crystallographic phase which is similar to that of known ( pb , cu ) sr 2 ycu 2 o w but which differs from the known 1212 phase in that portions of sr and y are substituted with ba and ca , respectively , in the superconducting material of the present invention . in the superconducting material of this invention the amount and disposition of oxygen are not critical . generally , w is a number in the range of between 6 . 9 and 7 . 0 . it has been found that when the known 1212 phase is prepared in an oxidizing atmosphere , superconductivity is not observed . the x - ray diffraction analysis has revealed that when ( pb , sr ) sr 2 ( y , ca ) cu 2 o w is prepared in an oxidizing atmosphere sr does not exist in the same site with that of pb and that when ( pb , cu ) sr 2 ( y , ca ) cu 2 o w is prepared in an oxidizing atmosphere ca is not completely dissolved into the y site with a pb / cu ratio of 1 : 1 . this fact , when taken in conjunction with the fact that the known , superconducting 1212 phase is prepared in a vacuum sealed reactor , suggests that the vacuum sealing is essential for the production of the known ( pb , cu ) sr 2 ( y , ca ) cu 2 o w superconducting material . in contrast , the ( pb , cu )( sr , ba , ca ) 2 ( a , ca ) cu 2 o w superconducting material of this invention can be produced by a heat treatment in an oxidizing atmosphere . the x - ray diffraction analysis has revealed that the presence of ba permits ca to form solid solution . the superconductivity in the material of this invention is considered to be ascribed to the sufficient dissolution of divalent ca ion into trivalent a ion ( y or a rare earth element ), which results in the introduction of a sufficient amount of holes to show superconductivity . it is considered that the ba substitution can form an ion disposition in the vicinity of a ion ( y or a rare earth element ) similar to that of yba 2 cuo 3 o w ( jirak , z . et al , physica c 156 , 750 - 754 ( 1988 ) so that ca can be dissolved into the y site . the superconducting material of the present invention may be produced by a method including providing a blend of compounds of the metals in the metal oxide superconducting material . the blend is in the form of a solid and may be obtained by a method including mixing powders of metal compounds , a method including applying a solution containing the metal compounds onto a substrate , followed by drying or a method including subjecting a solution containing the metal compounds to coprecipitation conditions . other methods such as spattering , vacuum evaporation , cvd , fusion quenching or sol - gel may be also used . the solid blend is then heated at an oxygen partial pressure p of at least 0 . 001 atm and a temperature of between ( 860 + 40logp ) ° c . and ( 1060 + 40logp ) ° c . where p is the oxygen partial pressure in terms of atm . powders of pbo , srco 3 , baco 3 , y 2 o 3 , caco 3 and cuo were mixed in molar proportions so that blends having the following chemical compositions were obtained : in which x , y , v and z are numbers as shown in table 1 . each of the blends was pressure molded to form a parallelepiped bar and the bar was sintered at 1000 ° c . for 1 hour in an oxygen stream at 1 atmosphere . the resulting products were tested for their x - ray diffraction patterns and superconductivity and the results were as summarized in table 1 . in table 1 , t on is a temperature ( k ) at which the resistivity abruptly begins decreasing and t r = 0 is a temperature ( k ) at which the resistivity becomes 0 . in table 1 , the term &# 34 ; 1212 phase &# 34 ; refers to the crystallographic phase similar to that of the known ( pb , sr ) sr 2 ( y , ca ) cu 2 o w superconducting material . samples nos . 1 , 3 , 4 , 8 , 9 , 14 , 19 , 20 , 23 , 29 , 30 , 32 , 38 , 39 , 41 and 44 are comparative samples . from these results , it is seen that when ba is not present ( y = 0 ), no superconductivity is exhibited . superconductivity is observed when ba is present . with the increase in ba content , tc becomes higher but an impurity phase ( bapbo 3 ) is formed . this impurity phase disappears , without encountering a reduction of tc , when the amount of cu is increased ( when z is increased ). even with a high cu content , however , the impurity phase occurs when y is increased to 0 . 7 . when x is 0 and y is 0 . 5 , tc increases with the increase in pb content ( with the decrease in z ). this suggests that even a small amount of pb serves to reduce non - stoichiometry of oxygen to the extent that no specific post treatment is necessitated . powders of pbo , srco 3 , baco 3 , a 2 o 3 ( or a 6 o 11 or ao 2 ), caco 3 and cuo were mixed in molar proportions so that blends having the following chemical compositions were obtained : in which x , y and z are 0 . 4 , 0 . 5 and 0 . 7 , respectively . as the element a , y and the rare earth elements as shown in table 2 were used . each of the blends was pressure molded to form a bar and the bar was sintered at 1000 ° c . for 1 hour in an oxygen stream at 1 atmosphere . the resulting products were tested for their x - ray diffraction patterns and superconductivity and the results were as summarized in table 2 . from the results shown in table 2 , it is seen that the use of ce or pr which is generally tetravalent fails to produce superconductivity . except for la , tc is increased with the decrease of the ion radius . this also applies to the case in which two or more elements are used in combination , when the average ion radius of the combined elements is taken into account . powders of pbo , srco 3 , baco 3 , y 2 o 3 , caco 3 and cuo were mixed in molar proportions so that a blend having the following chemical compositions was obtained : in which x , y and z are 0 . 4 , 0 . 5 and 0 . 7 , respectively . portions of the blend were pressure molded to form bars and the bars were sintered at a temperature and under a partial pressure of oxygen as shown in table 3 . the resulting products were tested for their x - ray diffraction patterns and superconductivity and the results were as summarized in table 3 . from the results shown in table 3 , it will be noted that an oxygen partial pressure of at least 0 . 001 atm is necessary to obtain the 1212 phase . when the oxygen partial pressure is lower than 0 . 001 , there is formed 2213 phase . further , it is seen that sample nos . 69 , 70 , 73 , 74 and 77 which were produced at a temperature outside of the ( 860 + 40logp ) ° c . to ( 1060 + 40 logp ) ° c . range do not exhibit superconductivity . powders of pbo , srco 3 , baco 3 , y 2 o 3 , caco 3 and cuo were mixed in molar proportions so that a blend having the following chemical compositions was obtained : in which x , y and z are 0 . 4 , 0 . 5 and 0 . 7 , respectively . portions of the blend were subjected to thermal analysis . other portions of the blend were pressure molded and sintered at a temperature and under a partial pressure of oxygen as shown in table 4 . the resulting products were subjected to porosity measurement and superconducting critical current density measurement to obtain the results summarized in table 4 . from the results shown in table 4 , it will be understood that the superconducting critical current density of samples obtained by using a heat treatment temperature higher than the just - below temperature of the heat absorption peak is higher than that obtained at heat treatment temperature lower than the just - below temperature . the just - below temperature is a temperature at which part of the components of the sample is fused . the above fact , when considered in the light of the porosity values , suggests that the heat treatment at a temperature causing partial fusion of the components of the sample can make the sample more dense so that the effective cross - sectional area in which the electrical current flows is increased . powders of pbo , srco 3 , baco 3 , y 2 o 3 , caco 3 and cuo were mixed in molar proportions so that a blend having the following chemical compositions was obtained : in which x , y and z are 0 . 4 , 0 . t and 0 . 7 , respectively . portions of the blend were pressure molded and sintered at 1000 ° c . in an oxygen stream . the resulting products were then post - treated under various conditions as shown in table 5 to obtain products whose tc were as shown in table 5 . from the results summarized in table 5 , it is seen that the post treatment at a high oxygen partial pressure can produce superconducting materials with a high tc . such a post treatment , though it is not essential in the present invention , can improve t on . table 1______________________________________sampleno . v x y z crystal phase t . sub . on t . sub . r = 0______________________________________1 ** 0 0 0 . 2 0 . 5 ( 1212 ) -- -- 2 0 0 0 . 2 0 . 6 ( 1212 ) 12 -- 3 ** 0 0 0 . 2 0 . 7 ( 1212 ) + srcuo . sub . 2 11 * 4 ** 0 0 0 . 3 0 . 5 ( 1212 ) -- -- 5 0 0 0 . 3 0 . 6 ( 1212 ) 19 -- 6 0 0 0 . 3 0 . 7 ( 1212 ) 22 127 0 0 0 . 3 0 . 8 ( 1212 ) 30 198 ** 0 0 0 . 3 0 . 9 ( 1212 ) + srcuo . sub . 2 32 * 12 * 9 ** 0 0 0 . 4 0 . 5 ( 1212 ) -- -- 10 0 0 0 . 4 0 . 6 ( 1212 ) 25 1211 0 0 0 . 4 0 . 7 ( 1212 ) 40 2712 0 0 0 . 4 0 . 8 ( 1212 ) 46 3713 0 0 0 . 4 0 . 9 ( 1212 ) 54 3914 ** 0 0 0 . 5 0 . 5 ( 1212 ) -- -- 15 0 0 0 . 5 0 . 6 ( 1212 ) 32 2016 0 0 0 . 5 0 . 7 ( 1212 ) 57 4217 0 0 0 . 5 0 . 8 ( 1212 ) 76 6818 0 0 0 . 5 0 . 9 ( 1212 ) 74 6719 ** 0 0 0 . 5 1 . 0 ( 1212 ) 72 5820 ** 0 0 0 . 6 0 . 7 ( 1212 ) + bapbo . sub . 3 60 * 37 * 21 0 0 0 . 6 0 . 8 ( 1212 ) 77 6822 0 0 0 . 6 0 . 9 ( 1212 ) 75 6523 ** 0 0 0 . 7 0 . 9 ( 1212 ) + bapbo . sub . 3 75 * 58 * 24 0 0 . 2 0 . 2 0 . 4 ( 1212 ) 33 1825 0 0 . 2 0 . 2 0 . 6 ( 1212 ) 46 2926 0 0 . 2 0 . 4 0 . 4 ( 1212 ) 48 3527 0 0 . 2 0 . 4 0 . 6 ( 1212 ) 58 4828 0 0 . 2 0 . 4 0 . 8 ( 1212 ) 72 5929 ** 0 0 . 2 0 . 4 1 . 0 ( 1212 ) 70 5830 ** 0 0 . 2 0 . 6 0 . 6 ( 1212 ) + bapbo . sub . 3 45 * 29 * 31 0 0 . 2 0 . 6 0 . 8 ( 1212 ) 80 7132 ** 0 0 . 2 0 . 6 1 . 0 ( 1212 ) 77 6633 0 0 . 4 0 . 2 0 . 4 ( 1212 ) 28 1034 0 0 . 4 0 . 2 0 . 6 ( 1212 ) 46 2135 0 0 . 4 0 . 4 0 . 4 ( 1212 ) 35 1936 0 0 . 4 0 . 4 0 . 6 ( 1212 ) 70 5337 0 0 . 4 0 . 4 0 . 8 ( 1212 ) 83 7238 ** 0 0 . 4 0 . 4 1 . 0 ( 1212 ) 77 6239 ** 0 0 . 4 0 . 6 0 . 6 ( 1212 ) + bapbo . sub . 3 80 * 45 * 40 0 0 . 4 0 . 6 0 . 8 ( 1212 ) 83 7441 ** 0 0 . 4 0 . 6 1 . 0 ( 1212 ) 75 6542 0 . 4 0 . 4 0 . 4 0 . 6 ( 1212 ) 73 6043 0 . 8 0 . 4 0 . 4 0 . 6 ( 1212 ) 74 6344 ** 0 . 12 0 . 4 0 . 4 0 . 6 ( 1212 ) + 68 * 58 * ( sr , ca ) cuo . sub . 2______________________________________ *: tc of ( 1212 ) phase only ( analyzed by the edx method **: comparative sample table 2______________________________________sample no . element a crystal phase t . sub . on t . sub . r = 0______________________________________45 la ( 1212 ) 61 39 46 ** ce unconfirmed phase -- -- 47 ** pr unconfirmed phase -- -- 48 nd ( 1212 ) 53 3049 sm ( 1212 ) 54 3250 eu ( 1212 ) 56 3651 gd ( 1212 ) 70 4652 dy ( 1212 ) 77 5653 ho ( 1212 ) 77 6054 er ( 1212 ) 80 5055 yb ( 1212 ) 78 5556 y . sub . 0 . 5 ce . sub . 0 . 5 ( 1212 ) + unconfirmed 58 2257 y . sub . 0 . 5 pr . sub . 0 . 5 ( 1212 ) + unconfirmed 44 2258 y . sub . 0 . 5 eu . sub . 0 . 5 ( 1212 ) 60 2159 y . sub . 0 . 5 ho . sub . 0 . 5 ( 1212 ) 81 4260 y . sub . 0 . 5 yb . sub . 0 . 5 ( 1212 ) 80 6261 la . sub . 0 . 5 eu . sub . 0 . 5 ( 1212 ) 47 6762 la . sub . 0 . 5 ho . sub . 0 . 5 ( 1212 ) 52 1963 la . sub . 0 . 5 yb . sub . 0 . 5 ( 1212 ) 55 36______________________________________ **: comparative sample table 3______________________________________ oxygen partial temper - sample pressure atureno . ( atm ) (° c .) crystal phase t . sub . on t . sub . r = 0______________________________________64 ** 0 . 0001 800 ( 2213 ) + impurity -- -- 65 ** 0 . 0001 840 ( 2213 ) + impurity -- -- 66 ** 0 . 0001 880 melted -- -- 67 0 . 001 800 ( 1212 ) 56 3168 0 . 001 880 ( 1212 ) 60 3869 ** 0 . 001 960 melted -- -- 70 ** 0 . 1 800 impurity -- -- 71 0 . 1 880 ( 1212 ) 65 4472 0 . 1 960 ( 1212 ) 70 5773 ** 0 . 1 1040 melted -- -- 74 ** 10 880 impurity -- -- 75 10 960 ( 1212 ) 72 6076 10 1040 ( 1212 ) 83 7577 ** 10 1120 melted -- -- ______________________________________ **: comparative samples table 4__________________________________________________________________________heat treatment heat absorptionoxygen peak temperature criticalpartial temper - just melting currentsamplepressure ature below point porosity densityno . ( atm ) (° c .) (° c .) (° c .) (%) ( a / cm . sup . 2 ) __________________________________________________________________________78 0 . 1 * 967 985 -- -- 79 ** 0 . 1 940 -- -- 17 13080 ** 0 . 1 960 -- -- 16 26081 0 . 1 970 -- -- 8 160082 0 . 1 980 -- -- 5 202083 10 * 1021 1044 -- -- 84 ** 10 960 -- -- 20 21085 ** 10 980 -- -- 18 38086 ** 10 1000 -- -- 17 39087 10 1020 -- -- 8 107088 10 1030 -- -- 3 255089 10 1040 -- -- 3 2990__________________________________________________________________________ *: thermoanalysis **: comparative sample table 5______________________________________post treatmentsample oxygen partial temperature timeno . pressure ( atm ) (° c .) ( hour ) t . sub . on t . sub . r = 0______________________________________90 0 . 1 500 5 81 6891 0 . 1 500 50 83 7492 1 500 5 83 7293 10 500 5 84 7494 400 500 5 83 7595 400 900 5 83 76______________________________________