GemsMakers.com • Precision Scientific & Engineering Reference Manual • https://gemsmakers.com

Printable Engineering & Science Reference Sheets

6 high-density technical cheat-sheets powered by empirical datasets. Optimized for laboratory benches, watchmaker desks, machine shops, and PDF archiving.

📊 Download Raw CSV/JSON Datasets

1. Watchmaker's Caliber Lift Angle & Beat Rate Reference Sheet

50+ mechanical watch movements (ETA, Rolex, Seiko, Miyota, Sellita, Omega, Orient). Standard lift angles for timing machine amplitude calibration.

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Key Amplitude Formula: Amplitude = (Total_Arc / 2) * (sin(Lift_Angle_Actual) / sin(Lift_Angle_Set))
Glossary Definition →
Caliber Manufacturer Country BPH Frequency Lift Angle Power Reserve Jewels Shock System
ETA 2824-2 ETA / Swatch Group Switzerland 28,800 4 Hz 50° 38 h 25 Incabloc
ETA 2892A2 ETA / Swatch Group Switzerland 28,800 4 Hz 51° 42 h 21 Incabloc
ETA 7750 (Valjoux) ETA / Swatch Group Switzerland 28,800 4 Hz 52° 48 h 25 Incabloc
ETA 6497-1 (Unitas) ETA / Swatch Group Switzerland 18,000 2.5 Hz 44° 46 h 17 Incabloc
ETA 6498-1 (Unitas) ETA / Swatch Group Switzerland 18,000 2.5 Hz 44° 46 h 17 Incabloc
ETA 2801-2 ETA / Swatch Group Switzerland 28,800 4 Hz 50° 42 h 17 Incabloc
ETA 2804-2 ETA / Swatch Group Switzerland 28,800 4 Hz 50° 42 h 17 Incabloc
ETA 2671 ETA / Swatch Group Switzerland 28,800 4 Hz 49° 38 h 25 Incabloc
Sellita SW200-1 Sellita Switzerland 28,800 4 Hz 50° 38 h 26 Novodiac / Incabloc
Sellita SW210-1 Sellita Switzerland 28,800 4 Hz 50° 42 h 19 Novodiac / Incabloc
Sellita SW220-1 Sellita Switzerland 28,800 4 Hz 50° 38 h 26 Novodiac / Incabloc
Sellita SW300-1 Sellita Switzerland 28,800 4 Hz 51° 42 h 25 Novodiac / Incabloc
Sellita SW500 Sellita Switzerland 28,800 4 Hz 52° 48 h 25 Novodiac / Incabloc
Rolex 3135 Rolex Switzerland 28,800 4 Hz 52° 48 h 31 Kif / Paraflex
Rolex 3130 Rolex Switzerland 28,800 4 Hz 52° 48 h 31 Kif / Paraflex
Rolex 3185 Rolex Switzerland 28,800 4 Hz 52° 50 h 31 Kif
Rolex 3186 Rolex Switzerland 28,800 4 Hz 52° 50 h 31 Paraflex
Rolex 3235 Rolex Switzerland 28,800 4 Hz 53° 70 h 31 Paraflex
Rolex 3230 Rolex Switzerland 28,800 4 Hz 53° 70 h 31 Paraflex
Rolex 3285 Rolex Switzerland 28,800 4 Hz 53° 70 h 31 Paraflex
Rolex 4130 Rolex Switzerland 28,800 4 Hz 52° 72 h 44 Paraflex
Omega 8500 Omega Switzerland 25,200 3.5 Hz 38° 60 h 39 Nivachoc (Co-Axial)
Omega 8800 Omega Switzerland 25,200 3.5 Hz 38° 55 h 35 Nivachoc (Co-Axial)
Omega 8900 Omega Switzerland 25,200 3.5 Hz 38° 60 h 39 Nivachoc (Co-Axial)
Omega 1861 Lemania / Omega Switzerland 21,600 3 Hz 50° 48 h 18 Incabloc
Omega 3861 Omega Switzerland 21,600 3 Hz 50° 50 h 26 Nivachoc (Co-Axial)
Seiko 7S26 Seiko Japan 21,600 3 Hz 53° 41 h 21 Diashock
Seiko 7S36 Seiko Japan 21,600 3 Hz 53° 41 h 23 Diashock
Seiko 4R35 Seiko Japan 21,600 3 Hz 53° 41 h 23 Diashock
Seiko 4R36 Seiko Japan 21,600 3 Hz 53° 41 h 24 Diashock
GemsMakers Horology Lab • 51 calibers indexed Compare ETA 2824-2 vs Sellita SW200-1 →

2. Jeweler & Assayer's Precious Metal Alloy Purity & SG Sheet

Hydrostatic Specific Gravity, fineness parts per thousand, solidus/liquidus melt points, and acid test reactions for gold, silver, and platinum.

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Archimedes Assay Formula: SG = W_dry / (W_dry - W_submerged) * rho_water(T)
Assay Formula Details →
Alloy Name Karat Fineness (‰) Specific Gravity Solidus °C Liquidus °C Color / Tone Acid Scratch Test
Pure Gold (24K) ‰ 0.00 g/cm³ °C °C
Yellow Gold 22K (Crown) ‰ 0.00 g/cm³ °C °C
Yellow Gold 18K (Standard) ‰ 0.00 g/cm³ °C °C
White Gold 18K (Nickel) ‰ 0.00 g/cm³ °C °C
White Gold 18K (Palladium) ‰ 0.00 g/cm³ °C °C
Rose Gold 18K (5N) ‰ 0.00 g/cm³ °C °C
Yellow Gold 14K (Standard) ‰ 0.00 g/cm³ °C °C
White Gold 14K (Nickel) ‰ 0.00 g/cm³ °C °C
Rose Gold 14K ‰ 0.00 g/cm³ °C °C
Yellow Gold 10K ‰ 0.00 g/cm³ °C °C
White Gold 10K ‰ 0.00 g/cm³ °C °C
Yellow Gold 9K ‰ 0.00 g/cm³ °C °C
Fine Silver 999 ‰ 0.00 g/cm³ °C °C
Sterling Silver 925 ‰ 0.00 g/cm³ °C °C
Britannia Silver 958 ‰ 0.00 g/cm³ °C °C
Coin Silver 900 ‰ 0.00 g/cm³ °C °C
Fine Platinum 999 ‰ 0.00 g/cm³ °C °C
Platinum 950 (Ruthenium) ‰ 0.00 g/cm³ °C °C
Platinum 950 (Cobalt) ‰ 0.00 g/cm³ °C °C
Platinum 950 (Iridium) ‰ 0.00 g/cm³ °C °C
Fine Palladium 999 ‰ 0.00 g/cm³ °C °C
Palladium 950 (Standard) ‰ 0.00 g/cm³ °C °C
GemsMakers Precious Metals Lab • Certified Assay Standard Compare 14K vs 18K Yellow Gold →

3. Civil & Structural Engineer's AISC Steel Beam Properties Cheat-Sheet

Standard W-sections (W8 to W24) with Depth, Flange Width, Area, Moment of Inertia $I_x$, and Elastic Section Modulus $S_x$ for flexural design.

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Mid-Span Deflection (UDL): delta_max = (5 * w * L^4) / (384 * E * I) | Bending: sigma = M / S
Deflection Formula →
AISC Section Depth (mm) Web Thk (mm) Flange Width (mm) Area (cm²) Weight (kg/m) Inertia Ix (cm⁴) Section Modulus Sx (cm³)
W14x90 356.1 369.3 171 134 0 2,340
W14x68 356.6 255 129 101 0 1,690
W12x50 309.6 205.2 94.2 74.4 0 1,060
W12x40 303.3 203.3 76.1 59.5 0 844
W10x33 247.1 202.2 62.6 49.1 0 577
W10x22 258.3 146.1 41.9 32.7 0 380
W8x24 201.4 165.1 45.7 35.7 0 342
W8x18 206.8 133.4 34.2 26.8 0 249
W6x15 152.1 152 28.6 22.5 0 154
IPE 200 200 100 28.5 22.4 0 194
IPE 240 240 120 39.1 30.7 0 324
IPE 270 270 135 45.9 36.1 0 429
IPE 300 300 150 53.8 42.2 0 557
IPE 330 330 160 62.6 49.1 0 713
IPE 360 360 170 72.7 57.1 0 904
HEA 200 190 200 53.8 42.3 0 389
HEA 240 230 240 76.8 60.3 0 675
HEA 300 290 300 112.5 88.3 0 1,260
HEB 200 200 200 78.1 61.3 0 570
HEB 240 240 240 106 83.2 0 938
GemsMakers Structural Engineering Desk • AISC Manual 15th Edition Standard Compare W8x18 vs W10x22 →

4. Geologist & Paleontologist's Index Fossils & Chronostratigraphy Sheet

Phanerozoic biozone markers across Cambrian through Paleogene with First (FAD) and Last (LAD) Appearance Datums in millions of years.

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Biozone Duration: Delta_t = FAD_Ma - LAD_Ma | Radiocarbon Decay: t = -8267 * ln(A / A0)
Biostratigraphy Formula →
Index Taxon Clade Geological Period Stratigraphic Stage FAD (Ma) LAD (Ma) Biozone Lifespan Stratigraphic Significance
Paradoxides davidis Trilobita Cambrian 509 Ma 500.5 Ma 8.5 Ma
Olenellus thompsoni Trilobita Cambrian 521 Ma 509 Ma 12 Ma
Didymograptus murchisoni Graptolithina Ordovician 467.3 Ma 464 Ma 3.3 Ma
Tetragraptus approximatus Graptolithina Ordovician 477.7 Ma 470 Ma 7.7 Ma
Monograptus priodon Graptolithina Silurian 433.4 Ma 427.4 Ma 6 Ma
Tropites subbullatus Ammonoidea Triassic 237 Ma 227 Ma 10 Ma
Dactylioceras commune Ammonoidea Jurassic 182.7 Ma 174.1 Ma 8.6 Ma
Perisphinctes plicatilis Ammonoidea Jurassic 163.5 Ma 157.3 Ma 6.2 Ma
Scaphites hippocrepis Ammonoidea Cretaceous 83.6 Ma 72.1 Ma 11.5 Ma
Belemnitella mucronata Belemnoidea Cretaceous 76 Ma 70.6 Ma 5.4 Ma
Globotruncana stuarti Foraminifera Cretaceous 72.1 Ma 66 Ma 6.1 Ma
Inoceramus labiatus Bivalvia Cretaceous 93.9 Ma 89.8 Ma 4.1 Ma
Nummulites gizehensis Foraminifera Paleogene 47.8 Ma 41.2 Ma 6.6 Ma
Otodus megalodon Chondrichthyes Neogene 23 Ma 3.6 Ma 19.4 Ma
Carcharocles angustidens Chondrichthyes Paleogene 33.9 Ma 23 Ma 10.9 Ma
Turritella mortoni Gastropoda Paleogene 61.6 Ma 56 Ma 5.6 Ma
Exogyra ponderosa Bivalvia Cretaceous 85.8 Ma 70.6 Ma 15.2 Ma
Calycoceras naviculare Ammonoidea Cretaceous 95 Ma 93.9 Ma 1.1 Ma
Hemiaster elegans Echinoidea Cretaceous 113 Ma 100.5 Ma 12.5 Ma
Hoplites dentatus Ammonoidea Cretaceous 109 Ma 106 Ma 3 Ma
GemsMakers Paleontology Laboratory • ICS Geologic Time Scale Standard Download Biozone CSV Dataset →

5. Astrophysicist's Solar System & Planetary Ephemeris Reference Sheet

Planetary bodies and major moons with equatorial radius, surface gravity g, escape velocity v_esc, orbital period, and mean surface temperature.

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Escape Velocity: v_esc = sqrt(2 * G * M / R) | Kepler's Law: T^2 = (4*pi^2 / G*M) * a^3
Escape Velocity Formula →
Celestial Body Type Radius (km) Mass (kg) Surface Gravity Escape Velocity Orbital Period Mean Temp Atmosphere
0 km 274 m/s² km/s d °C
0 km 3.7 m/s² km/s d °C
0 km 8.87 m/s² km/s d °C
0 km 9.807 m/s² km/s d °C
0 km 1.62 m/s² km/s d °C
0 km 3.721 m/s² km/s d °C
0 km 0.0057 m/s² km/s d °C
0 km 0.003 m/s² km/s d °C
0 km 24.79 m/s² km/s d °C
0 km 1.796 m/s² km/s d °C
0 km 1.315 m/s² km/s d °C
0 km 1.428 m/s² km/s d °C
0 km 1.235 m/s² km/s d °C
0 km 10.44 m/s² km/s d °C
0 km 1.352 m/s² km/s d °C
0 km 0.113 m/s² km/s d °C
0 km 0.064 m/s² km/s d °C
0 km 8.69 m/s² km/s d °C
0 km 0.379 m/s² km/s d °C
0 km 0.346 m/s² km/s d °C
0 km 11.15 m/s² km/s d °C
0 km 0.779 m/s² km/s d °C
0 km 0.62 m/s² km/s d °C
0 km 0.288 m/s² km/s d °C
GemsMakers Astrophysics Hub • NASA JPL Horizons Ephemeris Standards Compare Titan vs Enceladus →

6. Acoustic Engineer's 88-Key Pitch Frequency & Wavelength Table

Full 12-TET musical scale (A0 to C8) with exact fundamental frequency in Hertz, acoustic wavelength at 20°C in air, and MIDI note values.

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12-TET Pitch Formula: f_n = 440 * (2^(n/12)) | Acoustic Wavelength: lambda = 343.2 / f
12-TET Tuning Formula →
Note Name Octave Frequency (Hz) Wavelength (20°C Air) MIDI Note #
A0 0 27.50 Hz 0.0000 m
A#0 0 29.14 Hz 0.0000 m
B0 0 30.87 Hz 0.0000 m
C1 1 32.70 Hz 0.0000 m
C#1 1 34.65 Hz 0.0000 m
D1 1 36.71 Hz 0.0000 m
D#1 1 38.89 Hz 0.0000 m
E1 1 41.20 Hz 0.0000 m
F1 1 43.65 Hz 0.0000 m
F#1 1 46.25 Hz 0.0000 m
G1 1 49.00 Hz 0.0000 m
G#1 1 51.91 Hz 0.0000 m
A1 1 55.00 Hz 0.0000 m
A#1 1 58.27 Hz 0.0000 m
B1 1 61.74 Hz 0.0000 m
C2 2 65.41 Hz 0.0000 m
C#2 2 69.30 Hz 0.0000 m
D2 2 73.42 Hz 0.0000 m
D#2 2 77.78 Hz 0.0000 m
E2 2 82.41 Hz 0.0000 m
F2 2 87.31 Hz 0.0000 m
F#2 2 92.50 Hz 0.0000 m
G2 2 98.00 Hz 0.0000 m
G#2 2 103.83 Hz 0.0000 m
A2 2 110.00 Hz 0.0000 m
A#2 2 116.54 Hz 0.0000 m
B2 2 123.47 Hz 0.0000 m
C3 3 130.81 Hz 0.0000 m
C#3 3 138.59 Hz 0.0000 m
D3 3 146.83 Hz 0.0000 m
D#3 3 155.56 Hz 0.0000 m
E3 3 164.81 Hz 0.0000 m
F3 3 174.61 Hz 0.0000 m
F#3 3 185.00 Hz 0.0000 m
G3 3 196.00 Hz 0.0000 m
G#3 3 207.65 Hz 0.0000 m
GemsMakers Audio Engineering Lab • Concert Pitch A4 = 440.00 Hz Standard Helmholtz Resonator Formula →
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