2. 1. BCP I 2. 1. 1. HAp Bidang 2 1 1 2

P3 x, y, z; -y, x-y, z; -x+y, -x, z; -y, -x, z+12; -x+y, y, z+12; x, x-y, z+12; x = -0,3470 y = -0,1536 z = -0,2332 O1 x, y, z; -y, x-y, z; -x+y, -x, z; -y, -x, z+12; -x+y, y, z+12; x, x-y, z+12; x = -0,2744 y = -0,09440 z = -0,09170 O2 x, y, z; -y, x-y, z; -x+y, -x, z; -y, -x, z+12; -x+y, y, z+12; x, x-y, z+12; x = -0,2326 y = -0,2167 z = -0,1452 O3 x, y, z; -y, x-y, z; -x+y, -x, z; -y, -x, z+12; -x+y, y, z+12; x, x-y, z+12; x = -0,2702 y = 0,008800 z = -0,1514 O4 x, y, z; -y, x-y, z; -x+y, -x, z; -y, -x, z+12; -x+y, y, z +12; x, x-y, z+12; x = -0,4779 y = -0,2392 z = -0,1373 O5 x, y, z; -y, x-y, z; -x+y, -x, z; -y, -x, z+12; -x+y, y, z+12; x, x-y, z+12; x = -0,4013 y = -0,04880 z = -0,2206 O6 x, y, z; -y, x-y, z; -x+y, -x, z; -y, -x, z+12; -x+y, y, z+12; x, x-y, z+12; x = -0,4262 y = -0,3070 z = -0,2150 Tabel 45 Posisi atom CaOH 2 Atom Posisi Ca x, y, z; x = 0 y = 0 z = 0 O x, y, z; -x, -y, -z; x = 0,3333 y = 0,6666 z = 0,2330 H x, y, z; -x, -y, -z; x = 0,3333 y = 0,6666 z = 0,4180 7. 2. Menentukan Faktor Struktur F hkl 7. 2. 1. BCP I 7. 2. 1. 1. HAp Bidang 2 1 1 2 θ = 31,68 o Faktor hamburan atomik = sin θ = sin 15,84 1,54056 Å = 0,1772 f Ca 2+ = 16,80 f P 5+ = 9,800 f O 2 – = 8,000 f H + = 0,4800 F hkl = f N N e 2 πihx N +ky N +lz N F 211 = f Ca 2+ � 2 N = 1 e 2 πi2.x Ca2+ +1.y Ca2+ +1.z Ca2+ + f P 5+ N = 1 e 2 πi2.x P5+ +1.y P5+ +1.z P5+ + f O 2 – N 3 N = 1 e 2 πi2.x O2– +1.y O2– +1.z O2– + f H + N = 1 e 2 πi2.x H +1.y H +1.z H F 211 = f Ca 2+ 1 e 2 πi2.0,3333+1.0,6667+1.0,0011 + e 2 πi2.-0,3333+1.-0,6667+1.0,5000+0,001100 + e 2 πi2.-0,3333+1.-0,6667+1.-0,0011 + e 2 πi2.0,3333+1.0,6667+1.-0,5000-0,001100 + f Ca 2+ 2 e 2 πi2.0,7513+1.0,7584+1.0,25 + e 2 πi2.-0,7584+1.0,7513-0,7584+1.0,25 + e 2 πi2.0,7584-0,7513+1.-0,7513+1.0,25 + e 2 πi2.-0,7513+1.-0,7584+1.-0,25 + e 2 πi2.0,7584+1.-0,7513+0,7584+1.-0,25 + e 2 πi2.-0,7584+0,7513+1.0,7513+1.-0,25 + f P 5+ e 2 πi2.0,9707+1.0,6019+1.0,25 + e 2 πi2.-0,6019+1.0,9707-0,6019+1.0,25 + e 2 πi2.0,6019-0,9707+1.-0,9707+1.0,25 + e 2 πi2.-0,9707+1.-0,6019+1.-0,25 + e 2 πi2.0,6019+1.-0,9707+0,6019+1.-0,25 + e 2 πi2.-0,6019+0,9707+1.0,9707+1.-0,25 + f O 2 – 1 e 2 πi2.0,1581+1.0,6738+1.0,25 + e 2 πi2.-0,6738+1.0,1581-0,6738+1.0,25 + e 2 πi2.0,6738-0,1581+1.-0,1581+1.0,25 + e 2 πi2.-0,1581+1.-0,6738+1.-0,25 + e 2 πi2.0,6738+1.-0,1581+0,6738+1.-0,25 + e 2 πi2.-0,6738+0,1581+1.0,1581+1.-0,25 + f O 2 – 2 e 2 πi2.0,8788+1.0,4120+1.0,25 + e 2 πi2.-0,4120+1.0,8788-0,4120+1.0,25 + e 2 πi2.0,4120-0,8788+1.-0,8788+1.0,25 + e 2 πi2.-0,8788+1.-0,4120+1.-0,25 + e 2 πi2.0,4120+1.-0,8788+0,4120+1.-0,25 + e 2 πi2.-0,4120+0,8788+1.0,8788+1.-0,25 + f O 2 – 3 e 2 πi2.0,3416+1.0,2568+1.0,0704 + e 2 πi2.-0,2568+1.0,3416-0,2568+1.0,0704 + e 2 πi2.0,2568-0,3416+1.-0,3416+1.0,0704 + e 2 πi2.-0,3416+1.-0,2568+1.0,5+0,0704 + e 2 πi2.0,2568+1.0,2568-0,3416+1.0,5+0,0704 + e 2 πi2.0,3416-0,2568+1.0,3416+1.0,5+0,0704 + e 2 πi2.-0,3416+1.-0,2568+1.-0,0704 + e 2 πi2.0,2568+1.-0,3416+0,2568+1.-0,0704 + e 2 πi2.-0,2568+0,3416+1.0,3416+1.-0,0704 + e 2 πi2.0,3416+1.0,2568+1.-0,5-0,0704 + e 2 πi2.-0,2568+1.-0,2568+0,3416+1.-0,5-0,0704 + e 2 πi2.-0,3416+0,2568+1.-0,3416+1.-0,5-0,0704 + f H + e 2 πi2.0+1.0+1.0,25 + e 2 πi2.-0+1.-0+1.-0,25 F 211 = f Ca 2+ 1 – 0,5058 + 0,8626i + 0,4938 + 0,8696i – 0,5058 – 0,8626i + 0,4938 – 0,8696i + f Ca 2+ 2 – 0,9976 – 0,06906i – 0,1496 – 0,9887i – 0,9967 – 0,08096i – 0,9976 + 0,06906i – 0,1496 + 0,9887i – 0,9967 + 0,08096i + f P 5+ 0,2687 – 0,9632i – 0,8607 + 0,5090i – 0,9659 – 0,2590i + 0,2687 + 0,9632i – 0,8607 – 0,5090i – 0,9659 + 0,2590i + f O 2 – 1 0,06279 + 0,9980i – 0,7571 + 0,6533i + 0,7146 + 0,6995i + 0,06279 – 0,9980i – 0,7571 – 0,6533i + 0,7146 – 0,6995i + f O 2 – 2 – 0,8751 + 0,4840i + 0,7816 – 0,6238i – 0,9241 + 0,3821i – 0,8751 – 0,4840i + 0,7816 + 0,6238i + 0,7816 + 0,6238i + f O 2 – 3 0,9979 + 0,06530i + 0,9979 + 0,06530i – 0,9316 – 0,3634i – 0,6827 – 0,7307i + 1,000 – 0,005026i + 0,8714 + 0,4905i + 0,9979 – 0,06530i – 0,6296 + 0,7769i – 0,9316 + 0,3634i – 0,6827 + 0,7307i + 1,000 + 0,005026i + 0,8714 – 0,4905i + f H + 1,000i – 1,000i F 211 = f Ca 2+ 1 – 1,012 + f Ca 2+ 2 – 4,288 + f P 5+ – 3,116 + f O 2 – 1 0,04058 + f O 2 – 2 – 0,3295 + 1,006i + f O 2 – 3 2,878 + 0,8422i + f H + F 211 = 16,80 – 1,012 + 16,80– 4,288 + 9,800– 3,116 + 8,0000,04058 + 8,000 – 0,3295 + 1,006i + 8,0002,878 + 0,8422i + 0,48000 F 211 = – 17,00 – 72,04 – 30,54 + 0,3246 – 2,636 + 8,048i + 23,02 + 6,738i + 0 F 211 = – 98,86 + 14,79i |F 211 | = 99,96 7. 2. 1. 2. HAp Bidang 0 0 4 2 θ = 52,88 o Faktor hamburan atomik = sin θ = sin 26,44 1,54056 Å = 0,2890 f Ca 2+ = 14,00 f P 5+ = 9,250 f O 2 – = 5,500 f H + = 0,2500 F hkl = f N N e 2 πihx N +ky N +lz N F 004 = f Ca 2+ N 2 N = 1 e 2 πi0.x Ca2+ +0.y Ca2+ +4.z Ca2+ + f P 5+ N = 1 e 2 πi0.x P5+ +0.y P5+ +4.z P5+ + f O 2 – N 3 N = 1 e 2 πi0.x O2– +0.y O2– +4.z O2– + f H + N = 1 e 2 πi0.x H +0.y H +4.z H F 004 = f Ca 2+ 1 e 2 πi4.0,0011 + e 2 πi4.0,5000+0,001100 + e 2 πi4.-0,0011 + e 2 πi4.-0,5000-0,001100 + f Ca 2+ 2 e 2 πi4.0,25 + e 2 πi4.0,25 + e 2 πi4.0,25 + e 2 πi4.-0,25 + e 2 πi4.-0,25 + e 2 πi4.-0,25 + f P 5+ e 2 πi4.0,25 + e 2 πi4.0,25 + e 2 πi4.0,25 + e 2 πi4.-0,25 + e 2 πi4.-0,25 + e 2 πi4.-0,25 + f O 2 – 1 e 2 πi4.0,25 + e 2 πi4.0,25 + e 2 πi4.0,25 + e 2 πi4.-0,25 + e 2 πi4.-0,25 + e 2 πi4.-0,25 + f O 2 – 2 e 2 πi4.0,25 + e 2 πi4.0,25 + e 2 πi4.0,25 + e 2 πi4.-0,25 + e 2 πi4.-0,25 + e 2 πi4.-0,25 + f O 2 – 3 e 2 πi4.0,0704 + e 2 πi4.0,0704 + e 2 πi4.0,0704 + e 2 πi4.0,5+0,0704 + e 2 πi4.0,5+0,0704 + e 2 πi4.0,5+0,0704 + e 2 πi4.-0,0704 + e 2 πi4.-0,0704 + e 2 πi4.-0,0704 + e 2 πi4.-0,5-0,0704 + e 2 πi4.-0,5-0,0704 + e 2 πi4.-0,5-0,0704 + f H + e 2 πi4.0,25 + e 2 πi4.-0,25 F 004 = f Ca 2+ 1 0,9996 + 0,02764i + 0,9996 + 0,02764i + 0,9996 – 0,02764i + 0,9996 – 0,02764i + f Ca 2+ 2 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + f P 5+ 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + f O 2 – 1 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + f O 2 – 2 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + f O 2 – 3 – 0,1972 + 0,9804i – 0,1972 + 0,9804i – 0,1972 + 0,9804i – 0,1972 + 0,9804i – 0,1972 + 0,9804i – 0,1972 + 0,9804i – 0,1972 – 0,9804i – 0,1972 – 0,9804i – 0,1972 – 0,9804i – 0,1972 – 0,9804i – 0,1972 – 0,9804i – 0,1972 – 0,9804i + f H + 1,000 + 1,000 F 004 = f Ca 2+ 1 3,998 + f Ca 2+ 2 6,000 + f P 5+ 6,000 + f O 2 – 1 6,000 + f O 2 – 2 6,000 + f O 2 – 3 – 2,366 + f H + 2,000 F 004 = 14,003,998 + 14,006,000 + 9,2506,000 + 5,5006,000 + 5,5006,000 + 5,500 – 2,366 + 0,25002,000 F 004 = 55,97 + 84,00 + 55,50 + 33,00 + 33,00 – 13,01 + 0,5000 F 004 = 249,0 |F 004 | = 249,0 7. 2. 1. 3. β-TCP Bidang 3 0 0 2θ = 29,54 Faktor hamburan atomik = sin θ = sin 14,77 1,54056 Å = 0,1655 f Ca 2+ = 16,80 f P 5+ = 9,800 f O 2 – = 8,000 F hkl = Faktor translasiFaktor basis Faktor translasi = e 2 πi3.0+0.0+0.0 + e 2 πi3.23+0.13+0.13 + e 2 πi3.13+0.23+0.23 Faktor translasi = e 2 πi0 + e 2 πi2 + e 2 πi1 = 1 + 1 + 1 = 3 F 300 = 3 f Ca 2+ N 5 N = 1 e 2 πi3.x Ca2+ +0.y Ca2+ +0.z Ca2+ + f P 5+ N 3 N = 1 e 2 πi3.x P5+ +0.y P5+ +0.z P5+ + f O 2 – N 6 N = 1 e 2 πi3.x O2– +0.y O2– +0.z O2– F 300 = 3f Ca 2+ 1 e 2 πi3.-0,2741 + e 2 πi3.--0,1382 + e 2 πi3.--0,1382 + e 2 πi3.--0,1382 + e 2 πi3.--0,2741+-0,1382 + e 2 πi3.-0,2741 + f Ca 2+ 2 e 2 πi3.-0,3812 + e 2 πi3.--0,1745 + e 2 πi3.--0,3812+-0,1745 + e 2 πi3.--0,1745 + e 2 πi3.--0,3812+-0,1745 + e 2 πi3.-0,3812 + f Ca 2+ 3 e 2 πi3.-0,2734 + e 2 πi3.--0,1486 + e 2 πi3.--0,2734+-0,1486 + e 2 πi3.--0,1486 + e 2 πi3.--0,2734+-0,1486 + e 2 πi3.-0,2734 + f Ca 2+ 4 e 2 πi3.0 + e 2 πi3.-0 + f Ca 2+ 5 e 2 πi3.0 + e 2 πi3.-0 + f P 5+ 1 e 2 πi3.0 + e 2 πi3.-0 + f P 5+ 2 e 2 πi3.-0,3128 + e 2 πi3.--0,1394 + e 2 πi3.--0,3128+-0,1394 + e 2 πi3.--0,1394 + e 2 πi3.--0,3128+-0,1394 + e 2 πi3.-0,3128 + f P 5+ 3 e 2 πi3.-0,3470 + e 2 πi3.--0,1536 + e 2 πi3.--0,3470+-0,1536 + e 2 πi3.--0,1536 + e 2 πi3.--0,3470+-0,1536 + e 2 πi3.-0,3470 + f O 2 – 1 e 2 πi3.-0,2744 + e 2 πi3.--0,09440 + e 2 πi3.--0,2744+-0,09440 + e 2 πi3.--0,09440 + e 2 πi3.--0,2744+-0,09440 + e 2 πi3.-0,2744 + f O 2 – 2 e 2 πi3.-0,2326 + e 2 πi3.--0,2167 + e 2 πi3.--0,2326+-0,2167 + e 2 πi3.--0,2167 + e 2 πi3.--0,2326+-0,2167 + e 2 πi3.-0,2326 + f O 2 – 3 e 2 πi3.-0,2702 + e 2 πi3.- 0,008800 + e 2 πi3.--0,2702+0,008800 + e 2 πi3.-0,008800 + e 2 πi3.--0,2702+0,008800 + e 2 πi3.- 0,2702 + f O 2 – 4 e 2 πi3.-0,4779 + e 2 πi3.--0,2392 + e 2 πi3.--0,4779+-0,2392 + e 2 πi3.-- 0,2392 + e 2 πi3.--0,4779+-0,2392 + e 2 πi3.-0,4779 + f O 2 – 5 e 2 πi3.-0,4013 + e 2 πi3.-- 0,04880 + e 2 πi3.--0,4013+-0,04880 + e 2 πi3.--0,04880 + e 2 πi3.--0,4013+-0,04880 + e 2 πi3.- 0,4013 + f O 2 – 6 e 2 πi3.-0,4262 + e 2 πi3.--0,3070 + e 2 πi3.--0,4262+-0,3070 + e 2 πi3.-- 0,3070 + e 2 πi3.--0,4262+-0,3070 + e 2 πi3.-0,4262 F 300 = 3f Ca 2+ 1 0,4388 + 0,8986i – 0,8594 + 0,5112i – 0,8594 + 0,5112i – 0,8594 + 0,5112i – 0,8365 + 0,5480i + 0,4388 + 0,8986i + f Ca 2+ 2 0,6198 – 0,7847i – 0,9891 – 0,1471i – 0,7285 – 0,6850i – 0,9891 – 0,1471i – 0,7285 – 0,6850i + 0,6198 – 0,7847i + f Ca 2+ 3 0,4269 + 0,9043i – 0,9426 + 0,3340i – 0,7044 + 0,7098i – 0,9426 + 0,3340i – 0,7044 + 0,7098i + 0,4269 + 0,9043i + f Ca 2+ 4 1,000 + 1,000 + f Ca 2+ 5 1,000 + 1,000 + f P 5+ 1 1,000 + 1,000 + f P 5+ 2 0,9260 + 0,3774i – 0,8708 + 0,4916i – 0,9920 – 0,1266i – 0,8708 + 0,4916i – 0,9920 – 0,1266i + 0,9260 + 0,3774i + f P 5+ 3 0,9670 – 0,2548i – 0,9698 + 0,2438i – 0,8757 – 0,4828i – 0,9698 + 0,2438i – 0,8757 – 0,4828i + 0,9670 – 0,2548i + f O 2 – 1 0,4439 + 0,8961i – 0,2071 + 0,9783i – 0,9686 – 0,2487i – 0,2071 + 0,9783i – 0,9686 – 0,2487i + 0,4439 + 0,8961i + f O 2 – 2 – 0,3221 + 0,9467i – 0,5873 – 0,8094i + 0,9554 + 0,2952i – 0,5873 – 0,8094i + 0,9554 + 0,2952i – 0,3221 + 0,9467i + f O 2 – 3 0,3716 + 0,9284i + 0,9863 – 0,1651i + 0,5198 – 0,8543i + 0,9863 – 0,1651i + 0,5198 – 0,8543i + 0,3716 + 0,9284i + f O 2 – 4 – 0,9145 – 0,4046i – 0,2022 – 0,9794i – 0,2114 – 0,9774i – 0,2022 – 0,9794i – 0,2114 – 0,9774i – 0,9145 – 0,4046i + f O 2 – 5 0,2856 – 0,9583i + 0,6059 + 0,7955i + 0,9354 + 0,3535i + 0,6059 + 0,7955i + 0,6059 + 0,7955i + 0,2856 – 0,5834i + f O 2 – 6 – 0,1787 – 0,9839i + 0,8793 – 0,4762i – 0,6257 + 0,7800i + 0,8793 – 0,4762i – 0,6257 + 0,7800i – 0,1787 – 0,9839i F 300 = 3f Ca 2+ 1 – 2,537 + 3,879i + f Ca 2+ 2 – 2,196 – 3,234i + f Ca 2+ 3 – 2,440 – 3,896i + f Ca 2+ 4 2,000 + f Ca 2+ 5 2,000 + f P 5+ 1 2,000 + f P 5+ 2 – 1,874 + 1,485i + f P 5+ 3 – 1,757 – 0,9876i + f O 2 – 1 – 1,464 + 3,251i + f O 2 – 2 0,09200 + 0,8650i + f O 2 – 3 3,755 – 0,1820i + f O 2 – 4 – 2,656 – 4,723i + f O 2 – 5 3,324 + 1,198i + f O 2 – 6 0,1498 – 1,360i F 300 = 316,80 – 2,537 + 3,879i + 16,80– 2,196 – 3,234i + 16,80– 2,440 – 3,896i + 16,802,000 + 16,802,000 + 9,8002,000 + 9,800 – 1,874 + 1,485i + 9,800 – 1,757 – 0,9876i + 8,000– 1,464 + 3,251i + 8,0000,09200 + 0,8650i + 8,0003,755 – 0,1820i + 8,000– 2,656 – 4,723i + 8,0003,324 + 1,198i + 8,0000,1498 – 1,360i F 300 = 3 – 42,62 + 65,17i – 36,89 – 54,33i – 40,99 – 65,45i + 33,60 + 33,60 + 19,60 – 18,36 + 14,55i – 17,22 – 9,678i – 11,71 + 26,01i + 0,7360 + 6,920i + 30,04 – 1,456i – 21,25 – 37,78i + 26,59 + 9,584i + 1,198 – 10,88i F 300 = 3 – 43,68 – 57,34i F 300 = – 131,0 – 172,0i |F 300 | = 216,3 7. 2. 1. 4. β-TCP Bidang 0 2 10 2θ = 30,98 Faktor hamburan atomik = sin θ = sin 15,49 1,54056 Å = 0,1734 f Ca 2+ = 16,80 f P 5+ = 9,800 f O 2 – = 8,000 F hkl = Faktor translasiFaktor basis Faktor translasi = e 2 πi3.0+0.0+0.0 + e 2 πi3.23+0.13+0.13 + e 2 πi3.13+0.23+0.23 = e 2 πi0 + e 2 πi2 + e 2 πi1 = 1 + 1 + 1 = 3 F 0210 = 3 f Ca 2+ � 5 N = 1 e 2 πi0.x Ca2+ +2.y Ca2+ +10.z Ca2+ + f P 5+ N 3 N = 1 e 2 πi0.x P5+ +2.y P5+ +10.z P5+ + f O 2 – N 6 N = 1 e 2 πi0.x O2– +2.y O2– +10.z O2– F 0210 = 3f Ca 2+ 1 e 2 πi2.-0,1382+10.0,1663 + e 2 πi2.-0,2741--0,1382+10.0,1663 + e 2 πi2.--0,2741+10.0,1663 + e 2 πi2.--0,2741+10.0,1663+0,5 + e 2 πi2.-0,1382+10.0,1663+0,5 + e 2 πi2.-0,2741--0,1382+10.0,1663+0,5 + f Ca 2+ 2 e 2 πi2.-0,1745+10.-0,03320 + e 2 πi2.-0,3812--0,1745+10.-0,03320 + e 2 πi2.--0,3812+10.-0,03320 + e 2 πi2.--0,3812+10.-0,03320+0,5 + e 2 πi2.-0,1745+10.-0,03320+0,5 + e 2 πi2.-0,3812--0,1745+10.-0,03320+0,5 + f Ca 2+ 3 e 2 πi2.-0,1486+10.0,06110 + e 2 πi2.-0,2734--0,1486+10.0,06110 + e 2 πi2.--0,2734+10.0,06110 + e 2 πi2.--0,2734+10.0,06110+0,5 + e 2 πi2.-0,1486+10.0,06110+0,5 + e 2 πi2.-0,2734--0,1486+10.0,06110+0,5 + f Ca 2+ 4 e 2 πi2.0+10.0,9149 + e 2 πi2.-0+10.0,9149+0,5 + f Ca 2+ 5 e 2 πi2.0+10.0,7336 + e 2 πi2.-0+10.0,7336+0,5 + f P 5+ 1 e 2 πi2.0+10.1 + e 2 πi2.-0+10.1+0,5 + f P 5+ 2 e 2 πi2.-0,1394+10.-0,1315 + e 2 πi2.-0,3128--0,1394+10.-0,1315 + e 2 πi2.--0,3128+10.-0,1315 + e 2 πi2.--0,3128+10.-0,1315+0,5 + e 2 πi2.-0,1394+10.-0,1315+0,5 + e 2 πi2.-0,3128--0,1394+10.-0,1315+0,5 + f P 5+ 3 e 2 πi2.-0,1536+10.-0,2332 + e 2 πi2.-0,3470--0,1536+10.-0,2332 + e 2 πi2.--0,3470+10.-0,2332 + e 2 πi2.--0,3470+10.-0,2332+0,5 + e 2 πi2.-0,1536+10.-0,2332+0,5 + e 2 πi2.-0,3470--0,1536+10.-0,2332+0,5 + f O 2 – 1 e 2 πi2.-0,09440+10.-0,09170 + e 2 πi2.-0,2744--0,09440+10.-0,09170 + e 2 πi2.--0,2744+10.-0,09170 + e 2 πi2.--0,2744+10.-0,09170+0,5 + e 2 πi-0,09440+2.-0,09440+10.-0,09170+0,5 + e 2 πi2.-0,2744--0,09440+10.-0,09170+0,5 + f O 2 – 2 e 2 πi2.-0,2167+10.-0,1452 + e 2 πi2.-0,2326--0,2167+10.-0,1452 + e 2 πi2.--0,2326+10.-0,1452 + e 2 πi2.--0,2326+10.-0,1452+0,5 + e 2 πi2.-0,2167+10.-0,1452+0,5 + e 2 πi2.-0,2326--0,2167+10.-0,1452+0,5 + f O 2 – 3 e 2 πi2.0,008800+10.-0,1514 + e 2 πi2.-0,2702-0,008800+10.-0,1514 + e 2 πi0,008800+2.--0,2702+10.-0,1514 + e 2 πi2.--0,2702+10.-0,1514+0,5 + e 2 πi0,008800+2.0,008800+10.-0,1514+0,5 + e 2 πi2.-0,2702-0,008800+10.-0,1514+0,5 + f O 2 – 4 e 2 πi2.-0,2392+10.-0,1373 + e 2 πi2.-0,4779--0,2392+10.-0,1373 + e 2 πi-0,2392+2.--0,4779+10.-0,1373 + e 2 πi2.--0,4779+10.-0,1373+0,5 + e 2 πi-0,2392+2.-0,2392+10.-0,1373+0,5 + e 2 πi2.-0,4779--0,2392+10.-0,1373+0,5 + f O 2 – 5 e 2 πi2.-0,04880+10.-0,2206 + e 2 πi2.-0,4013--0,04880+10.-0,2206 + e 2 πi2.--0,4013+10.-0,2206 + e 2 πi2.--0,4013+10.-0,2206+0,5 + e 2 πi-0,04880+2.-0,04880+10.-0,2206+0,5 + e 2 πi2.-0,4013--0,04880+10.-0,2206+0,5 + f O 2 – 6 e 2 πi2.-0,3070+10.-0,2150 + e 2 πi2.-0,4262--0,3070+10.-0,2150 + e 2 πi2.--0,4262+10.-0,2150 + e 2 πi2.--0,4262+10.-0,2150+0,5 + e 2 πi-0,3070+2.-0,3070+10.-0,2150+0,5 + e 2 πi2.-0,4262--0,3070+10.-0,2150+0,5 F 0120 = 3 f Ca 2+ 1 – 0,7567 + 0,6537i – 0,7753 + 0,6316i + 0,2414 + 0,9704i + 0,2414 + 0,9704i – 0,7567 + 0,6537i – 0,7753 + 0,6316i + f Ca 2+ 2 – 0,4201 + 0,9075i – 0,02890 + 0,9996i – 0,9059 + 0,4235i – 0,9059 + 0,4235i – 0,4201 + 0,9075i – 0,02890 + 0,9996i + f Ca 2+ 3 – 0,3902 + 0,9207i – 0,6442 + 0,7649i – 0,6442 + 0,7649i + 0,5474 + 0,8368i – 0,3902 + 0,9207i – 0,6442 + 0,7649i + f Ca 2+ 4 0,5928 + 0,8053i + 0,5928 + 0,8053i + f Ca 2+ 5 – 0,5145 + 0,8575i – 0,5145 + 0,8575i + f P 5+ 1 1,000 + 1,000 + f P 5+ 2 – 0,8313 + 0,5558i – 0,5262 + 0,8503i – 0,3716 + 0,9284i – 0,3716 + 0,9284i – 0,8313 + 0,5558i – 0,5262 + 0,8503i + f P 5+ 3 – 0,6413 + 0,7673i – 0,1948 + 0,9808i – 0,6470 + 0,7624i – 0,6470 + 0,7624i – 0,6413 + 0,7673i – 0,1948 + 0,9800i + f O 2 – 1 0,7871 – 0,6169i – 0,1688 – 0,9856i – 0,6762 – 0,7367i – 0,6762 – 0,7367i – 0,6762 – 0,7367i – 0,1688 – 0,9856i + f O 2 – 2 0,7518 + 0,6594i – 0,9948 – 0,1016i + 0,9966 + 0,08284i + 0,9966 + 0,08284i + 0,7518 + 0,6594i – 0,9948 – 0,1016i + f O 2 – 3 – 0,9997 – 0,02262i + 0,8994 – 0,4371i + 0,9863 + 0,1652i + 0,9863 + 0,16512i – 0,99974 – 0,2262i + 0,8994 – 0,4371i + f O 2 – 4 0,5949 + 0,8038i + 0,5898 + 0,8075i – 0,8677 – 0,4971i – 0,8677 – 0,4971i + 0,5949 + 0,8038i + 0,5898 + 0,8075i + f O 2 – 5 – 0,3304 – 0,9438i + 0,8477 + 0,5305i – 0,8214 – 0,5704i – 0,8214 – 0,5704i – 0,3304 – 0,9438i + 0,8477 + 0,5305i + f O 2 – 6 0,08785 + 0,9961i – 0,7641 – 0,6451i – 0,7641 – 0,6451i – 0,2946 – 0,9556i + 0,08785 + 0,9961i – 0,7641 – 0,6451i F 0210 = 3 f Ca 2+ 1 – 2,581 + 4,511i + f Ca 2+ 2 – 2,710 + 4,661i + f Ca 2+ 3 – 2,166 + 4,973i + f Ca 2+ 4 1,186 + 1,611i + f Ca 2+ 5 – 1,029 + 1,715i + f P 5+ 1 2,000 + f P 5+ 2 – 3,458 + 4,669i + f P 5+ 3 – 2,966 + 5,020i + f O 2 – 1 – 1,579 – 4,798i + f O 2 – 2 1,507 + 1,281i + f O 2 – 3 1,772 – 0,7927i + f O 2 – 4 0,6340 + 2,228i + f O 2 – 5 – 0,6082 – 1,967i + f O 2 – 6 – 2,411 – 0,8987i F 0210 = 316,80 – 2,581 + 4,511i + 16,80– 2,710 + 4,661i + 16,80– 2,166 + 4,973i + 16,801,186 + 1,611i + 16,80 – 1,029 + 1,715i + 9,8002,000 + 9,800 – 3,458 + 4,669i + 9,800– 2,966 + 5,020i + 8,000– 1,579 – 4,798i + 8,0001,507 + 1,281i + 8,0001,772 – 0,7927i + 8,0000,6340 + 2,228i + 8,000 – 0,6082 – 1,967i + 8,000– 2,411 – 0,8987i F 0210 = 3 – 43,36 + 75,78i – 45,53 + 78,30i – 36,39 + 83,55i + 19,92 + 27,06i – 17,29 + 28,81i + 19,60 – 33,89 + 45,76i – 29,07 + 49,20i – 12,63 – 38,38i + 12,06 + 10,25i + 14,18 – 6,342i + 5,072 + 17,82i – 4,866 – 15,74i – 19,29 – 7,190i F 0210 = 3 – 171,5 + 368,9i F 0210 = – 514,5 + 1107i | F 0210 | = 1221

7. 2. 1. 5. CaOH