Mineral (Evaporite)

Sandstone (with potential mineral inclusions)

Clastic sedimentary rock (primarily Quartz, SiO2)

Turquoise in Matrix

CuAl6(PO4)4(OH)8·4H2O (Hydrous phosphate of copper and aluminium)

Amygdaloidal Basalt

Amygdaloidal Basalt (Mafic volcanic rock)

Shale or Slate with Quartz Veins

Shale (fine-grained clastic sedimentary rock) or Slate (low-grade metamorphic rock formed from shale) with Quartz (SiO2) veins

Chrysocolla

Chrysocolla (Cu2-xAlx(H2-xSi2O5)(OH)4·nH2O)

Lapis Lazuli (Raw)

Lazurite-rich metamorphic rock; Na3Ca(Al3Si3O12)S

Given the appearance, it's likely a fragment of an igneous or metamorphic rock composed of multiple minerals. Without specific diagnostic features, it's difficult to give a common name other than 'crystalline rock fragment'. If pressed to guess based on the granular, somewhat light and dark speckled appearance, it could be a fragment of granite or a related intrusive igneous rock.

As a rock fragment, it does not have a single scientific mineral name; rather, it's a piece of a rock which is a combination of minerals. If it were granite, its main mineral composition would be quartz (SiO2), feldspar (e.g., KAlSi3O8 - orthoclase, (Na,Ca)(Al,Si)4O8 - plagioclase), and mica (e.g., KAl2(AlSi3O10)(OH)2 - muscovite or K(Mg,Fe)3AlSi3O10(OH)2 - biotite), among others.

Schist with Biotite and Quartz

Biotite-Quartz Schist (Fe,Mg,Al silicate mix)

Red Sandstone

Arenite (Ferruginous Sandstone)

Pyrite (Fool's Gold)

Iron Sulfide (FeS2)

Fluorite (Rainbow/Purple Fluorite)

Calcium Fluoride (CaF2)

Calcite (Yellow/Orange variety - sometimes called Honey Calcite)

Calcite

Malachite

Copper carbonate hydroxide [Cu2CO3(OH)2]

Fluorite (likely Fluorite on Quartz/Matrix)

Calcium Fluoride (CaF2)

Orthoclase Feldspar

Orthoclase (KAlSi₃O₈)

Milky Quartz

Quartz (Silicon Dioxide, SiO2)

Bumblebee Jasper

Anhydrite with Sulfur, Hematite, and Orpiment (SiO2/CaSO4 mixture)

Lapis Lazuli

Lapis Lazuli (Rock composed primarily of Lazurite (Na,Ca)8(AlSiO4)6(S,Cl,SO4,OH)2, Calcite, and Pyrite)

Orthoclase Feldspar

KAlSi3O8 (Potassium Aluminum Silicate)

Fluorite

Calcium Fluoride (CaF2)

Fluorite (Polished Point/Tower)

Calcium Fluoride (CaF2)

Slate

Foliated Metamorphic Rock (primarily composed of quartz, illite, chlorite, and micas)

Granite

Granite

Goethite/Limonite Iron Ore Node

Goethite (FeO(OH)) or Limonite (mixture of hydrated iron oxides)

Turquoise

Turquoise (CuAl6(PO4)4(OH)8·4H2O)

Limonite (Iron Ore)

Limonite (FeO(OH)·nH2O)

Turquoise with Pyrite

Hydrated phosphate of copper and aluminium [CuAl6(PO4)4(OH)8·4H2O] with Iron Pyrite (FeS2)

Turquoise

Hydrated phosphate of copper and aluminium [CuAl6(PO4)4(OH)8·4H2O]

Dalmatian Stone

Dalmatian Jasper (a misnomer for an Aplite with Arfvedsonite spots)

Magnetite

Magnetite (Fe3O4)

Mica Schist

Schist (primarily Muscovite and Biotite mica)

Sandstone (likely Arkosic)

Arenite (SiO2 based)

Chert with Calcite Veins

Silicon Dioxide (SiO2) with Calcium Carbonate (CaCO3) intrusions

Turquoise

Hydrated phosphate of copper and aluminium (CuAl6(PO4)4(OH)8·4H2O)

Sandstone (likely Arkose or Lithic)

Clastic sedimentary rock (SiO2 + impurities)

Chalcopyrite

Copper Iron Sulfide (CuFeS2)

Sandstone (Ferruginous)

Arenite with Iron Oxides

Ferruginous Quartz

Silicon Dioxide (SiO2) with Iron Oxide (Fe2O3) inclusions

Granodiorite

Granodiorite

Gneiss (specifically a granitic gneiss cobble)

Gneiss (high-grade regional metamorphic rock)

Dyed Quartz (often sold as 'Blue Quartz' or 'Blue Agate')

Silicon Dioxide (SiO2) with artificial pigment

Granite

Granite (Felsic intrusive igneous rock)