Key Takeaways
- The speed of light in a vacuum is exactly 299,792,458 meters per second, defined as the universal constant c in modern physics
- The Planck constant h is 6.62607015 × 10^-34 J⋅s, fundamental to quantum mechanics
- The gravitational constant G measures 6.67430 × 10^-11 m^3⋅kg^-1⋅s^-2, key to Newton's law of universal gravitation
- The molar mass constant M_u is exactly 1 g/mol in the 2019 SI redefinition
- Water's molar volume at STP is 22.41396954 × 10^-3 m³/mol
- Standard hydrogen electrode potential is defined as 0 V by convention
- DNA double helix has 10.4 base pairs per turn in B-form
- Human genome has approximately 3.2 billion base pairs
- Average human cell diameter is 10-30 micrometers
- Earth orbits Sun at average 29.78 km/s velocity
- Milky Way galaxy diameter spans 100,000 light-years
- Sun's mass is 1.989 × 10^30 kg, 99.86% of solar system
- Ocean covers 71% of Earth's surface area
- Mount Everest height 8,848.86 m above sea level
- Earth's core temperature averages 5,700°C, hotter than surface Sun
These universal physical and biological constants precisely define our natural world.
Astronomy
- Earth orbits Sun at average 29.78 km/s velocity
- Milky Way galaxy diameter spans 100,000 light-years
- Sun's mass is 1.989 × 10^30 kg, 99.86% of solar system
- Hubble constant H_0 ≈ 73.0 ± 1.0 km/s/Mpc from SH0ES
- Andromeda galaxy approaches Milky Way at 110 km/s, collision in 4.5 billion years
- Jupiter's Great Red Spot is 16,350 km wide, larger than Earth
- Light from Proxima Centauri takes 4.24 years to reach Earth
- Black hole in Cygnus X-1 has 14.8 solar masses
- Universe age estimated 13.8 billion years from Planck
- Pulsar PSR J1748-2446ad spins 716 times per second
- Betelgeuse radius 887 times Sun's
- Kepler-452b orbits in habitable zone 1,400 light-years away
- Cosmic web filaments span hundreds of megaparsecs
- Venus transits Sun every 243 years on average
- TRAPPIST-1 system has 7 Earth-sized planets, 40 light-years away
- Neutron star density 10^17 kg/m³
- Solar flare X28 class on Nov 4, 2003, strongest recorded
- Dark matter comprises 27% of universe mass-energy
- Gamma-ray burst GRB 080319B visible to naked eye 7.5 billion light-years
- Exoplanet count exceeds 5,000 as of 2023
- Voyager 1 at 23.5 billion km from Sun, heliopause crossed 2012
- Lunar recession rate 3.8 cm/year from Earth tides
- Supernova SN 1987A released 10^44 joules energy
- Sagittarius A* black hole mass 4.3 million solar masses
Astronomy Interpretation
Biology
- DNA double helix has 10.4 base pairs per turn in B-form
- Human genome has approximately 3.2 billion base pairs
- Average human cell diameter is 10-30 micrometers
- Mitochondria produce 90% of cellular ATP via oxidative phosphorylation
- Photosynthesis fixes 100-115 billion tons of carbon annually
- E. coli doubles every 20 minutes under optimal conditions
- Human brain has about 86 billion neurons
- Insulin structure has 51 amino acids in two chains linked by disulfides
- Ribosome large subunit 50S in prokaryotes has 23S and 5S rRNA
- CRISPR-Cas9 editing efficiency reaches 80% in HEK293 cells
- Heart beats average 100,000 times per day pumping 7,500 liters blood
- Lung capacity averages 6 liters in adult males
- Red blood cells live 120 days circulating 250 billion/day
- Antibody affinity maturation increases Kd by 1000-fold via somatic hypermutation
- Plant cell wall cellulose microfibrils are 3-6 nm diameter
- Yeast Saccharomyces cerevisiae has 12 million base pairs genome
- Coral reefs host 25% of marine species despite 0.1% ocean area
- Giraffe neck has 7 cervical vertebrae same as humans
- Butterfly wings have nanostructures causing iridescence via diffraction
- Tardigrades survive -272°C to 150°C temperatures
- Sperm whale produces loudest sound at 230 dB re 1 μPa
- Arabidopsis thaliana genome has 135 Mb and 27,655 genes
- HIV reverse transcriptase error rate is 10^-4 to 10^-5 per nucleotide
- Muscle fiber types: slow oxidative 50-80% in endurance athletes
- Enzyme turnover number k_cat for catalase is 4 × 10^7 s^-1
- Bacterial flagellum rotates at 100,000 rpm
- Human skin regenerates every 27 days via keratinocytes
- Octopus has 500 million neurons distributed in arms
- Venus flytrap closes in 0.1 seconds via action potentials
Biology Interpretation
Chemistry
- The molar mass constant M_u is exactly 1 g/mol in the 2019 SI redefinition
- Water's molar volume at STP is 22.41396954 × 10^-3 m³/mol
- Standard hydrogen electrode potential is defined as 0 V by convention
- Diamond's density is 3.515 g/cm³ at 20°C
- pH scale logarithmic range for H+ concentration from 0 to 14 at 25°C
- Faraday constant F = 96,485.33212 C/mol for electrochemical equivalence
- Gas constant R = 8.314462618 J⋅mol⁻¹⋅K⁻¹ exactly
- Heat of fusion for water is 333.55 kJ/kg at 0°C
- Boiling point elevation constant K_b for water is 0.512 °C⋅kg/mol
- Henry's law constant for CO2 in water at 25°C is 29.41 L⋅atm/mol
- Ionic radius of Na+ (CN=6) is 102 pm in Shannon scale
- Electron affinity of chlorine is 349.0 kJ/mol
- Bond dissociation energy of H-H is 436.0 kJ/mol at 298 K
- Viscosity of water at 20°C is 1.0016 mPa⋅s
- Surface tension of water at 25°C is 71.99 mN/m
- Diffusion coefficient of O2 in water at 25°C is 2.42 × 10^-9 m²/s
- Partition coefficient logP for octanol/water of benzene is 2.13
- Acid dissociation constant pKa of acetic acid is 4.756 at 25°C
- Rate constant for SN2 reaction of CH3Br + OH- is 8.53 × 10^-6 M^-1 s^-1 at 20°C
- Activation energy for cis-trans isomerization of but-2-ene is 65 kcal/mol
- Refractive index of ethanol at 20°C (589 nm) is 1.361
- Dielectric constant of water at 25°C is 78.3553
- Osmotic pressure of 0.1 M NaCl at 25°C is approximately 4.92 atm
- Van der Waals a constant for CO2 is 3.640 L² bar/mol²
- Critical temperature of water is 647.096 K
- Molar heat capacity of graphite at constant pressure 298K is 8.527 J/mol·K
- Thermal conductivity of copper at 300K is 401 W/m·K
- Number of known chemical elements is 118 as of 2023
- Human body contains about 0.2 milligrams of gold, mostly in blood
Chemistry Interpretation
Earth Science
- Ocean covers 71% of Earth's surface area
- Mount Everest height 8,848.86 m above sea level
- Earth's core temperature averages 5,700°C, hotter than surface Sun
- Annual CO2 increase 2.6 ppm from Mauna Loa since 1960
- Richter scale measures earthquake magnitude logarithmically
- Amazon rainforest spans 5.5 million km²
- Gulf Stream transports 100 million m³/s warm water
- Antarctica ice volume 26.5 million km³
- Plate tectonics: Pacific Plate moves 10 cm/year northwest
- pH of ocean surface decreased 0.1 units since pre-industrial, 30% acidification
- Hurricane Katrina wind speeds peaked 175 mph in 2005
- Groundwater supplies 50% of drinking water worldwide
- El Niño Southern Oscillation cycle 2-7 years
- Dead Sea salinity 34%, lowest elevation land point -430 m
- Volcanic eruption VEI 7 Tambora 1815 caused year without summer
- Soil erosion rate 10-20 tons/ha/year agricultural land
- Aurora borealis caused by solar wind particles 100-500 km altitude
- Great Barrier Reef length 2,300 km
- Permafrost covers 24% Northern Hemisphere land
- Tsunami from 2004 Sumatra quake traveled 5,000 km
- Desertification affects 12 million ha/year
- Karst landscapes cover 10% ice-free continents
- Glacier National Park lost 2/3 glaciers since 1850
- Mangrove forests store 1,023 MgC/ha blue carbon
Earth Science Interpretation
Physics
- The speed of light in a vacuum is exactly 299,792,458 meters per second, defined as the universal constant c in modern physics
- The Planck constant h is 6.62607015 × 10^-34 J⋅s, fundamental to quantum mechanics
- The gravitational constant G measures 6.67430 × 10^-11 m^3⋅kg^-1⋅s^-2, key to Newton's law of universal gravitation
- Avogadro's number is precisely 6.02214076 × 10^23 elementary entities per mole
- Elementary charge e is 1.602176634 × 10^-19 coulombs, basis for atomic charge quantization
- The Higgs boson mass is 125.10 ± 0.14 GeV/c² as measured by ATLAS at CERN in 2012
- Quantum entanglement was first demonstrated over 1,400 km in 2017 by Chinese scientists using Micius satellite
- Superfluid helium-4 transitions to zero viscosity at 2.17 K, known as the lambda point
- The fine-structure constant α is approximately 1/137.035999, dimensionless coupling constant
- LIGO detected gravitational waves from GW150914 merger of 36 and 29 solar mass black holes on Sept 14, 2015
- Electron mass is 9.1093837015 × 10^-31 kg, fundamental particle property
- Proton mass is 1.67262192369 × 10^-27 kg
- Neutron lifetime averages 879.4 ± 0.6 seconds from beam experiments
- Cosmic microwave background temperature is 2.72548 ± 0.00057 K
- Top quark mass is 172.69 ± 0.30 GeV/c² from Tevatron and LHC
- Fermi constant G_F is 1.1663787 × 10^-5 GeV^-2 in weak interaction
- Rydberg constant R_∞ is 10,973,731.568160 m^-1 for hydrogen spectra
- Boltzmann constant k is 1.380649 × 10^-23 J/K, redefined in 2019 SI
- Magnetic flux quantum Φ_0 is h/(2e) = 2.067834 × 10^-15 Wb
- Stefan-Boltzmann constant σ is 5.670374419 × 10^-8 W⋅m^-2⋅K^-4 for blackbody radiation
- First law of thermodynamics efficiency limit for Carnot engine between T_h and T_c is 1 - T_c/T_h
- Photoelectric effect threshold frequency for sodium is 5.1 × 10^14 Hz
- Compton wavelength of electron λ_e = h/(m_e c) = 2.42631023867 × 10^-12 m
- Hall effect mobility in graphene reaches 200,000 cm²/Vs at room temperature
- Casimir effect force between plates separated by d is - (π² ℏ c A)/(240 d⁴)
- Muon g-2 anomaly is 4.2 σ deviation from Standard Model prediction
- Thomson cross-section for electron-photon scattering is 6.6524587321 × 10^-29 m²
- Wien displacement law peak λ_max T = 2.8977729 × 10^-3 m⋅K for blackbody
- Nuclear binding energy per nucleon peaks at 8.79 MeV for iron-56
- Weak mixing angle sin²θ_W = 0.23129 ± 0.00005 from electroweak measurements
Physics Interpretation
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