according to E.H. Nickel & M.C. Nichols (2009), H. Strunz & E.H. Nickel (2001)

(Metals and intermetallic alloys, Metalloids and Nonmetals, Carbides, Silicides, Nitrides and Phosphides)

1.A: Metals and intermetallic alloys

1.AA. Copper-Cupalite family
1.AA.05. Copper group
Copper  /  Kupfer Cu cub., Fm-3m. FOTO           G
Silver  /  Silber   (Silver-3C) Ag cub., Fm-3m. FOTOG
    Silver-2H Ag hex., P63/mmcPoly
    Silver-4H Ag hex., P63/mmcPoly
Gold Au cub., Fm-3m. FOTOG
Aluminium Al cub., Fm-3m. FOTOIMA 1980-085a
Nickel Ni cub., Fm-3m. FOTOIMA 1966-039
Lead  /  Blei Pb cub., Fm-3m. FOTOG

The common silver polytype is silver-3C. The rare Silver-2H is isostructural with Zn, Os, Allargentum (Ag,Sb), Hexaferrum (Fe,Ru,Os,Ir), and Rutheniridosmine (Ir,Os,Ru).

1.AA.10. Auricupride group
     10 a. Auricupride Series
Auricupride Cu3Au cub., Pm-3mG
Cuproauride CuAu3 cub., Pm-3m  Q
     10 b. Tetra-auricupride Series
Tetra-auricupride CuAu tetr.. FOTOIMA 1982-005

1.AA.15. Khatyrkite-Anyuiite group
Khatyrkite CuAl2 tetr., I4/mcmIMA 1983-085
Anyuiite AuPb2 tetr., I4/mcmIMA 1987-053
Novodneprite AuPb3 tetr., I42mIMA 2002-032a

1.AA.20. Cupalite group
Cupalite CuAl orth.IMA 1983-084

1.AA.25. Hunchunite group
Hunchunite Au2Pb cub., Fd-3m FOTOIMA 1991-033

1.AA.30. Icosahedrite group *
Icosahedrite * Al63Cu24Fe13 icosahedral, Fm-3-5 IMA 2010-042

Icosahedrite is the first known natural quasicrystal. The symmetry can't be described with one of the seven common crystal systems. The diffraction pattern is in accordance with an incommensurate lattice with five-, three- and two-fold symmetry.

1.AB. Zinc-Brass family
1.AB.05. Zinc group
Zinc  /  Zink Zn hex., P63/mmc FOTOG
Cadmium Cd hex., P63/mmc  FOTOIMA 1980-086
Titanium Ti hex., P63/mmcIMA 2010-044
Rhenium Re hex., P63/mmcD

1.AB.10. Brass group
Brass  /  Messing (Cu,Zn) cub., Fm-3m. FOTON
Tongxinite Cu2Zn cub.N
Zhanghengite CuZn cub., Im-3m. IMA 1985-049
Danbaite CuZn2 cub.IMA 1981-041

Brass was described without IMA approval, and is identical with alpha-brass in the system Cu-Zn. Zn can reach up to 38.95 wt.-%, Cu and Zn are disordered. Formally, (alpha-) brass is a zincian variety of copper.
Tongxinite, described without IMA approval, has a composition within the field of alpha-brass, but the given cell parameters differ from this compound.
The composition of "Zinccopperit", alleged Cu7Zn4, described very incompletely and without IMA approval, plots in the compositional field of alpha-brass. From the published data there are no indication for a separate mineral.
Zhanghengite corresponds to beta-brass in the Cu-Zn system. In the pure system, beta-brass is stable above 468ºC. It is isotypic with alpha-iron, Cu and Zn are disordered. Perhaps the beta-brass structure is stabilized by other metals in zhanghengite. Beta'-brass, Pm3m, CsCl structure, is stable below 468ºC and has an ordered distribution of Cu and Zn.
Danbaite falls within the compositional field of gamma-brass (cub., I-43m, a = 8.878 Å), but has different cell parameters.

1.AC. Indium-Tin family
1.AC.05. Indium group
Indium In tetr., I4/mmm. FOTOA

1.AC.10. Tin group
Tin  /  Zinn Sn tetr., I41/amd  FOTOG

1.AC.15. Bronce group
Sorosite Cu1+x(Sn,Sb)     x < 0.2 hex., P63/mmcIMA 1994-047
Yuanjiangite AuSn hex., P63/mmcIMA 1993-028

Sorosite and yuanjiangite are isostructural with nickeline.
Eta-bronce, Cu1.2Sn, hex., P63/mmc, is identical with sorosite.

1.AD. Mercury-Amalgam family
1.AD.05. Mercury
Mercury  /  Quecksilber Hg liquid /
trig., R-3m

Mercury is solid below -38.85ºC.

1.AD.10. Copperamalgam group
Kolymite Cu7Hg6 cub.IMA 1979-046
Belendorffite Cu7Hg6 trig., R-3m FOTOIMA 1989-024

1.AD.15. Silveramalgam group
Moschellandsbergite Ag2Hg3 cub., I23  FOTOG
Schachnerite Ag1.1Hg0.9 hex., P63/mmcIMA 1971-055
Paraschachnerite Ag1.2Hg0.8 orth.IMA 1971-056
Luanheite Ag3Hg hex.IMA 1983-083
Eugenite Ag11Hg2 cub., I-43mIMA 1981-037

1.AD.20. Goldamalgam group
Weishanite (Au,Ag)1.2Hg0.8 hex., P63/mmcIMA 1982-076
Goldamalgam (Au,Ag)Hg cub., Im-3mN

1.AD.25. Palladiumamalgam group
Potarite PdHg tetr., P4/mmm FOTOG

1.AD.30. Leadamalgam group
Leadamalgam  /  Bleiamalgam Pb0.7Hg0.3 tetr., I4/mmm FOTOIMA 1981-042

1.AE. Iron-Chromium family
1.AE.05. Iron-Chromium group
Iron  /  Eisen Fe cub., Im-3m FOTOG
Chromium  /  Chrom Cr cub., Im-3m FOTOIMA 1980-094
Tungsten  /  Wolfram W cub., Im-3m FOTOIMA 2011-004
Molybdenum  /  Molybdän Mo .  N
Tantalum Ta cub., Im-3m  D

"Kamacite" = Nickel-bearing iron, discredited in 2006.

1.AE.10. Taenite group
Taenite (Fe,Ni) cub., Fm-3m.  FOTOG
    Taenite-1M FeNi mon., Pm .  Poly
Tetrataenite FeNi tetr., P4/mmm.  FOTOIMA 1979-076
Antitaenite (Fe,Ni)   N

1.AE.15. Chromferide group
Chromferide Fe3Cr1-X cub., Pm-3m FOTOIMA 1984-021
Ferchromide Cr3Fe1-X cub., Pm-3mIMA 1984-022
Wairauite CoFe cub., Pm-3mIMA 1964-015

1.AE.20. Awaruite group
Awaruite FeNi3 cub., Pm-3mFOTOG

1.AE.25. Jedwabite group
Jedwabite Fe7(Ta,Nb)3 hex.IMA 1995-043

1.AE.30. Manganese group
Manganese  /  Mangan Mn cub., P4132N

Native manganese was described without IMA approval, but with good data, from Pt-Au placers, central Aldan shield, Siberia, Russia.

1.AE.35. Nisnite group *
Nisnite * Ni3Sn cub., Pm-3mIMA 2009-083

1.AF. Platinum group elements (PGE)
1.AF.05. Ruthenium group
Ruthenium Ru hex., P63/mmc FOTOIMA 1974-013
Osmium Os hex., P63/mmc  FOTORd
Rutheniridosmine (Ir,Os,Ru) hex., P63/mmc  FOTORd

1.AF.10. Rhodium group
Rhodium Rh cub., Fm-3m.  IMA 1974-012
Palladium Pd cub., Fm-3m.  FOTOG
Iridium Ir cub., Fm-3m.  FOTORd
Platinum  /  Platin Pt cub., Fm-3m.  FOTOG

1.AG. PGE-metal alloys
1.AG.05. Hexaferrum group
Hexaferrum (Fe,Os,Ru,Ir) hex., P63/mmc  FOTOIMA 1995-032
Garutiite * (Ni,Fe,Ir) hex., P63/mmcIMA 2008-055
Hexamolybdenum (Mo,Ru,Fe,Ir,Os) hex., P63/mmcIMA 2007-029

1.AG.10. Zvyagintsevite group
Zvyagintsevite Pd3(Pb,Sn) cub., Pm-3mIMA 1966-006
Atokite (Pd,Pt)3Sn cub., Fm-3m  FOTOIMA 1974-041
Rustenburgite (Pt,Pd)3Sn cub., Fm-3m (?)IMA 1974-040

1.AG.15. Taimyrite group
Taimyrite (Pd,Pt)9Cu3Sn4 orth.A
Tatyanaite (Pt,Pd)9Cu3Sn4 orth.IMA 1995-049

1.AG.20. Paolovite-Cabriite group
Paolovite Pd2Sn orth., Pbnm  FOTOIMA 1972-025
Cabriite Pd2CuSn orth., PmmmIMA 1981-057

1.AG.25. Stannopalladinite group
Stannopalladinite Pd3Sn2 hex., P63/mmc  FOTOA
Plumbopalladinite Pd3Pb2 hex., P63mc  FOTOIMA 1970-020

1.AG.30. group reserved for similar alloys

1.AG.35. Isoferroplatinum group
Chengdeite Ir3Fe cub., Pm-3mIMA 1994-023
Isoferroplatinum Pt3Fe cub., Pm-3m FOTOIMA 1974-012a

1.AG.40. Tetraferroplatinum group
Tulameenite Pt2FeCu tetr., P4/mmm FOTOIMA 1972-016
Tetraferroplatinum PtFe tetr., P4/mmm.  IMA 1974-012b
Ferronickelplatinum Pt(Ni,Fe) tetr., P4/mmmIMA 1982-071

1.AG.45. Hongshiite-Skaergaardite group
Hongshiite PtCu trig.. FOTOA
Skaergaardite PdCu cub., Pm-3m. IMA 2003-049

1.AG.50. Yixunite group
Yixunite Pt3In cub., Pm-3mIMA 1995-042

1.AG.55. Damiaoite group
Damiaoite PtIn2 cub., Fm-3mIMA 1995-041

1.AG.60. Niggliite group
Niggliite PtSn hex., P63/mmc    G

1.AG.65. Bortnikovite group
Bortnikovite Pd4Cu3Zn tetr., P4/mmm (?)  IMA 2006-027

1.AG.70. Nielsenite group
Nielsenite PdCu3 tetr., I4/mmmIMA 2004-046

1.AH. Rare-Earth Elements
1.AH.05. Cerium-Gruppe
Cerium Ce   N

 * New, not in Nickel & Nichols (2009)

in bold: grandfathered, IMA accepted, renamed and redefined (with IMA CNMNC approval) minerals,
in normal letters: minerals published without IMA approval, questionable minerals, polytypes

G = Grandfathered minerals: original description preceded the establishment of the CNMNC in 1959, and generally regarded as a valid species
A or IMA No. = Minerals approved by the CNMNC
Rd = Redefinition of the mineral approved by the CNMNC
Rn = Renamed with approval by the CNMNC
GROUP = a name used to designate a group of species
N = Mineral published without approval of the CNMNC
Q = Questionable mineral
H = Hypothetical mineral (synthetic, anthropogenic, etc.)
D = Discredited by the CNMNC
Poly = Polytype
Kupfer, Silber, Gold, Aluminium, Nickel, Blei, Auricuprid, Tetra-Auricuprid, Cuproaurid, Khatyrkit, Anyuiit, Novodneprit, Cupalit, Hunchunit, Zink, Cadmium, Titan, Rhenium, Messing, Tongxinit, Zhanghengit, Danbait, Indium, Molybdän, Zinn, Sorosit, Yuanjiangit, Quecksilber, Kolymit, Belendorffit, Moschellandsbergit, Schachnerit, Paraschachnerit, Luanheit, Eugenit, Weishanit, Goldamalgam, Potarit, Bleiamalgam, Eisen, Chrom, Wolfram, Tantal, Taenit, Tetrataenit, Chromferid, Ferchromid, Wairauit, Awaruit, Jedwabit, Mangan, Ruthenium, Osmium, Rutheniridosmin, Rhodium, Palladium, Iridium, Platin, Hexaferrum, Nielsenit, Zvyagintsevit, Atokit, Rustenburgit, Taimyrit, Tatyanait, Paolovit, Cabriit, Stannopalladinit, Plumbopalladinit, Chengdeit, Isoferroplatin, Tulameenit, Tetraferroplatin, Ferronickelplatin, Hongshiit, Skaergaardit, Yixunit, Damiaoit, Niggliit, Bortnikovite, Cerium
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