106 



ROGERS— THE VALIDITY OF 



[March i, 



with indices at all complex as doubtful even when the measurements 

 indicate the form." 



The lazv of sUn[^le mathematical ratio is untenable. There are 



List of Crystal Faces with Complex Indices. 



Octahedrite 



Baumhauerite.. 



Barite 



Apophyllite .... 

 Fluorite 



Pyrite 



Tetrahedrite. 



Tourmaline . 



Vanadinite .. 



Millerite 



Pectolite 



NatroJite 



Whewellite. 

 lodyrite .... 



Chrysoberyl 

 Quartz 



Strontianite. 



Danburite .. 

 Epidote 



Calcite. 



Angle. 



Meas. 



Calc. 



I.I.28AOOI 



13.0. 12 A 100 



1.44.0 A 120 



5I.51.50AOOI 



19. 1. 1 A 100! 



/ 24. 15.10A II I 



\ 24. 15. 10 A 100 



35.35.1A110 



20. 19.39. 1 A loii 



43.0.43.40 (p) 

 31.13 44.0 (0) 



1.0,25 (p) 

 16.16.17 Alio 



f 14.26. 1 Aoio 



I 14.26. 1 A loi 

 330-33-2AOOOI 



1 1. 20. 20 A 11.20.20 

 1.30.29.29A0111 



36.36.1 Aooi 



0.50.1 AOOI 

 29.0. 1 AOOI 



J 49.41. 90.8A49-90.4I.8 

 \ 49.41. 90.8 A90-4I-49-8 



5° 8.y 

 48 31 



40 58 



61 3 



4 13 



19 30 



36 55 

 I 9 



63 o 



41 29 



13 17 

 7 29 



64 32 



32 48^ 



63 17 



86 20 



60 54^ 

 I 26 



I 9 



87 36 

 63 27 



65 29 

 53 49 



48 3ii 

 40 57 

 61 I 



4 15 



19 32 



36 55 



I 9 



63 H 

 41 29 



13 17 



7 32^ 



64 33 



Robinson, ^. y! S. (4), 



12, 180. 

 Solly, Ji/in. Mag., 13, 



154- 

 Brunlechner, Min. 



Mitth., 12, 73. 



Ploner, Zs. Kr., 18, 



351- 

 Whitlock, Bull. 140, N. 



Y. St. Mus., 198. 



Mauritz, Zs. Kr., 39, 



Ungemach, Bull. Jr. soc. 



min., 29, 251. 

 Worobiefl', Zs. Kr., 33, 



263. 

 Schaller, Bull. 262, U. 



S. G. S., 138. 

 Palache and Wood, A. 



J. S. (4), 18, 355- 

 Moses, A. J. S. (4), 12, 



98. 

 Zambonini, Zs. Kr., 34, 

 581. 



32 485 Jezek, Bull. int. P acad. 

 63 18 I Sci. Bo/ievie, '09, 9. 

 86 21 Kraus, A.J. S. (4), 27, 

 I 218. 



60 54i 

 I 25 



I 9 



87 37 

 63 27 



65 29 

 53 48i 



Liffa, Zs. Kr. , 36,611. 

 Gonnard, Zs. Kr., 29, 



323- 

 Beykirch, A'. Jb. Min. 



Beil. Bd., 13, 423. 

 Weber, Zs. Kr., 37, 620. 

 Zambonini, Zs. Kr., 37, 



13- 

 Rogers, A. J. S. (4), 



12, 43- 



hundreds of measurements to prove this statement. The accom- 

 panying tabulated list gives faces with complex indices for a number 

 of minerals, which list could be greatly extended if space permitted. 



•Palache and Wood, American Jourual of Science, Vol. 18, p. 355, 1904. 



