48 



University of California. 



[Vol.. 3. 



Calculated Table. — Following is a calculation of the 47 

 forms to correspond to the tables arranged by Goldschmidt in 

 his "Krystallographisehe Winkeltabellen." The calculations of 

 coleinanite given by the writer are based on the elements po = 

 0.6989 ; go = 0.5098, and e = 0.3439, and therefore show a slight 

 difference in the angles from those given by him on page 100. 



a = 7768 



lg a = 9.890309 



lg a = 0.155509 



lgJ>o = 9.844415 



a a = 1.4306 



= 6989 



c = 5430 



lg c = 9.734800 



lg 6 = 0.265200 



lg Q = 9.707463 



bo = 1.8416 



q = 5098 



P = n 69° 53' 



! g A . = !- 9.972003 



lg Sill J 



1-9.530474 

 lg cos fx. 1 



lg — = 0.130952 



3o 



h = 0.9390 



• e = 3439 



No. 







— 



m 

 >j 



Gdt. 



Miller. 





P 



t 



Co 



7)0 



t 

 c 



V 



x' 



(Prisms) 

 . y i 



v' 



d' 

 = tgp 



1 



C 



1) 



001 



90°00 



on 



u / 



20°07 



0°00 



20°07 



n 



V 



uu 



0.3663 





n 

 u 



0.3663 



2 



b 



0oo 



010 







00 



90 



00 



00 



90 



00 



00 



no 



00 









oo 



00 



3 



a 



oo0 



100 



90 



00 



90 



00 



90 00 







00 



90 00 







00 



oo 











4 



I 



3 



310 



76 



20 









90 



00 



76 20 



13 



40 



4.1227 





oo 



<i 



5 



t 



2oo 



210 



69 



58 







" 







69 58 



20 



02 



2.7419 







" 



(i 



m 



<Jj 



110 



53 



53- 









< 



i 



53 53- 



36 



oo- 



1.3709 





t i 





7 



z 



oo2 



120 



34 



26 













34 26 



55 



34 



0.6854 









8 



H 



oo 3 



130 



24 



33' 











I 



24 33" 



65 



26- 



0.4570 









il 



K 



111 



011 



34 



00 



33 



13- 



20 07 



28 



30 



17 50- 



27 



01 



0.3663 







.5430 



0.6550 



10 



a 



02 



021 



18 



38 



48 



54 





47 



22 



13 56 



45 



34 





1 



.0860 



1.1461 



11 



V 



+ 10 



101 



90 



00 



47 



59 



48 00 







Oil 



47 59 



. 



00 



1.1100 









1.1106 



12 



A 



+20 



201 



I 





61 



40 



61 40 







61 40 







1.8549 





( - 



1.8549 



13 



P 



+30 



301 







68 



57- 



68 57- 



f 



f 



68 57" 







2.5992 





i 1 



2.5992 



14 



>■ 



—10 



To] 



90 



00 



20 



42- 



20 42' 





i 



2(1 42 



i 





0.3781 





t i 



0.3781 



15 



h 



—20 



201 







48 



18 



48 18 







48 18 







T.1223 







1.1223 



16 



9 



— fO 



502 







56 



13 



56 13 





I 



56 13 







T.4944 





i i 



1.4944 



17 



W 



—30 



301 







61 



49 



6T 49 







61 49 







T.8666 







1.8666 



18 





—40 



401 





; 



69 



02 



69 02 







69 02 







2.6109 







2.6109 



19 



U 



—60 



601 







76 



17- 



70 17 







76 17 



t 





4.0996 







4.0996 



20 



f 



—80 



801 







79 



51 



79 51 







79 51 







0.5882 







5.5882 



21 



O" 



+3 



331 



57 



55 



71 



56" 



68 57 



58 



IT 



53 40 



30 



19- 



2.5992 



1 



6290 



3.0675 



oo 



P 



+1 



111 



63 



56" 



51 



02 



48 00 



28 



30 



44 18 



19 



58 



1.1106 







5430 



1.2362 



23 



y 



—1 



Til 



34 



51 



33 



29- 



20 42 







18 23 



26 



55" 



0.3781 





t t 



0.6617 



24 



V 



o 



221 



45 



56" 



57 



22 



48 18 



47 



"2 



37 14- 



35 



51 



T.1223 



1 



0860 



1.5617 



25 



a 



—3 



331 



48 



53 



68 



01 



6l 49 



58 



27- 



44 19 



37 



34 



T.8666 



1 



6290 



2.4776 



26 





+ 14 



141 



27 



05 



67 



42 



48 00 



65 



17 



24 54- 



55 



28 



1.1106 



2 



1720 



2.4396 



27 





+13 



131 



34 



17 



63 



06 ■ 





58 



27" 



30 09 



47 



28 





1 



6290 



1.9716 



