Gen Chem · Unit 5 · 5-2a
The Big Bang & Cosmic Evidence

The static, eternal universe was a myth. The cosmos had a beginning.

For centuries, natural philosophers assumed the universe was timeless, infinite, and changeless. But in the 1920s, Edwin Hubble pointed the 100-inch Hooker telescope at distant spiral nebulae and uncovered a cosmic revelation: the light emitted by distant galaxies is systematically shifted toward redder, longer wavelengths. The farther away a galaxy is, the faster it recedes. Space itself is stretching. When physicists wound the cosmic clock backward 13.8 billion years, they calculated that all matter, energy, and spacetime erupted from an unimaginably hot, dense singularity. Far from mere speculation, the Big Bang model is anchored by three bulletproof empirical pillars: the Hubble expansion, the 3:1 primordial hydrogen-to-helium ratio, and the ancient thermal afterglow of the Cosmic Microwave Background.

Alignment
HS-ESS1-2Construct an explanation of the Big Bang theory based on astronomical evidence of light spectra, motion of distant galaxies, and composition of matter in the universe.
Objective
Analyze astronomical spectra to demonstrate galactic redshift and Hubble's Law. Relate Big Bang nucleosynthesis to the universe's 75% H / 25% He abundance, and interpret the Cosmic Microwave Background as cooled relic radiation.
Scope
Cosmological redshift vs. Doppler effect, Hubble-Lemaître expansion, primordial nucleosynthesis ratios, recombination epoch, and the 2.725 K CMB blackbody spectrum.

Core Claims

  • Galactic Redshift: Light from distant galaxies exhibits redshift (λobs > λemit). Recessional velocity is proportional to distance (Hubble’s Law: v = H0 · d), proving that the fabric of space is expanding.
  • Expanding Fabric, Not Shrapnel: Galaxies are not exploding through static space; space itself is expanding between galaxies, stretching light waves during their billions of years of transit.
  • Primordial Abundance (BBN): During the first 20 minutes, nuclear fusion forged ~75% hydrogen and ~25% helium-4 by mass. This ubiquitous 3:1 ratio is verified across pristine intergalactic gas clouds.
  • Cosmic Microwave Background: Approximately 380,000 years after the Big Bang, neutral atoms formed (recombination), releasing the first light. That 3,000 K orange glow has cooled via cosmic expansion into a uniform 2.725 K microwave background (cosmic-microwave-background).

The Three Pillars of the Big Bang

PILLAR 1 Redshift Rest (Lab) Distant (z > 0) v = H₀ · d Expanding Space PILLAR 2 Abundance 75% H 25% He 3 : 1 Mass Ratio BBN Synthesis PILLAR 3 CMB Radiation 2.725 K 160.2 GHz Peak Recombination Glow Stretched 1,100×

Retrieval Checklist

  • Contrast cosmological redshift with conventional Doppler shift.
  • State Hubble's Law and explain how it implies an expanding universe.
  • Explain why the universe contains roughly 75% hydrogen and 25% helium.
  • Describe how the 2.7 K Cosmic Microwave Background formed and cooled.

Pillar 1: The Stretching of Light Across Cosmic Space.

Every element in the periodic table possesses an immutable optical barcode. When hydrogen atoms absorb light, their electrons jump between quantized energy levels, absorbing photons at exact, razor-sharp wavelengths (such as the red Balmer line, Hα, at precisely 656.3 nanometers).

When Edwin Hubble analyzed light spectra from distant galaxies, he noticed that the characteristic hydrogen barcode was identical in pattern, but every single line was systematically shifted toward longer wavelengths, toward the red end of the spectrum. This phenomenon is known as redshift (z):

z = (λobserved − λrest) / λrest   (Δλ / λ0)
Laboratory Reference Spectrum (Earth Laboratory, z = 0.00): Hδ (410) Hγ (434) Hβ (486) Hα (656.3 nm) Distant Galaxy Spectrum (5 Billion Light-Years, z = 0.40): Shifted Hα (918 nm → IR)
Figure 5-2a.1: Cosmological redshift. The dark atomic absorption lines of hydrogen are shifted toward longer wavelengths in light arriving from distant galaxies. The farther away the galaxy, the greater the redshift.
Hubble’s Law: v = H0 · d

Hubble discovered that the recessional velocity (v) of a galaxy is directly proportional to its distance (d) from Earth. If Galaxy B is three times farther than Galaxy A, Galaxy B recedes three times faster. This demonstrates that space itself is stretching uniformly in all directions, like raisins moving apart inside a baking loaf of rising raisin bread.

Pillar 2: The Cosmic 3:1 Hydrogen-to-Helium Fingerprint.

If all the chemical elements in the universe were produced by stars, then young gas clouds formed early in cosmic history should consist purely of hydrogen, while older regions should contain steadily more heavy elements. But when astronomers measure pristine intergalactic gas clouds that have never formed stars, they find a striking universal constant:

~74–75% Hydrogen ~24–25% Helium-4 <0.01% Deuterium & Lithium-7

Why is a full quarter of the cosmos made of helium, when stars have only had time to synthesize 2% of the universe’s heavy elements over 13.8 billion years? The answer lies in Big Bang Nucleosynthesis (BBN).

During the first 3 to 20 minutes after the Big Bang, the entire universe was a blazing nuclear reactor. Temperatures cooled from billions of degrees to ~100 million degrees, and density was high enough for protons and neutrons to fuse. Calculations based on subatomic nuclear cross-sections predict that exactly 1 helium nucleus should form for every 12 free protons, yielding exactly 75% hydrogen and 25% helium by mass. The exact match between theoretical calculation and spectroscopic observation is one of science’s greatest triumphs.

Pillar 3: The 2.7 K Whisper of Creation.

For the first 380,000 years, the universe was an opaque fog of free protons and electrons. Photons could not travel freely because they constantly scattered off free electrons. But once the expanding universe cooled to approximately 3,000 Kelvin, protons captured electrons to form the first neutral hydrogen atoms, an event called recombination.

Suddenly, space became completely transparent. The blazing orange thermal glow of 3,000 K photons was released into the cosmos simultaneously in all directions. Over the past 13.8 billion years, spatial expansion has stretched the wavelengths of these photons by a factor of 1,100, stretching visible orange light into low-energy microwave radiation.

The Perfect 2.725 K Blackbody Spectrum

In 1965, Arno Penzias and Robert Wilson accidentally discovered this hiss using a Bell Labs horn antenna in New Jersey. The cosmic-microwave-background fills every cubic centimeter of the universe with approximately 411 photons, cooled to an average temperature of 2.725 Kelvin. Space satellite telescopes (COBE, WMAP, Planck) confirmed that the CMB is the most flawless blackbody spectrum ever measured in nature, with minuscule temperature ripples (±0.00003 K) that formed the gravitational seeds of modern galaxies.

Interactive Cosmic Expansion & Spectroscopic Redshift Analyzer

Investigate the evidence for the Big Bang. Dial across galactic distance to observe cosmological redshift in real-time hydrogen absorption spectra, explore primordial element mass fractions, and track the cooling of the Cosmic Microwave Background.

0 Gly (Local Milky Way) 6 Gly (Deep Field) 12 Gly (Early Universe)
Optical Spectroscope (Balmer Series) z = 0.32 • Receding at 88,000 km/s
REDSHIFT (z)
0.32
RECESSION SPEED (v)
88,200 km/s
Hα OBSERVED
866.3 nm
LOOKBACK TIME
4.00 Gyr ago
MISSION 1 · Hubble's Law

Load the 4.0 Gly Deep Field. Calculate recessional velocity and verify that it matches Hubble's linear relation.

MISSION 2 · Distant Quasar

Load the 10.0 Gly Quasar. Observe optical Hα stretching completely past 750 nm into deep infrared.

MISSION 3 · CMB & Abundance

Switch to CMB view. Inspect the 2.725 K blackbody peak at 160 GHz and the 75% H / 25% He primordial ratio.

Fill the blanks from memory.

Stuck on one? Tap Reveal. The point is to pull it from your head, not recognize it on a page.

Cosmological redshift is caused not by galaxies flying through empty space, but by the stretching light waves during their billions-of-years transit. During the first 20 minutes of the Big Bang, rapid primordial nucleosynthesis produced a universe composed of roughly % hydrogen and % helium-4 by mass. The relic glow released during recombination when neutral atoms formed is the , which has cooled to a current temperature of . Hubble's Law, expressed as , proves that recessional velocity is directly proportional to cosmic distance. Because space expands everywhere at once, the universe has no physical .

Self-Explanation: Metric Space Expansion vs Doppler Movement

A student claims: “Galactic redshift is just a standard Doppler effect caused by galaxies moving through empty space away from the center of an explosion.” Refute this claim using the cosmological model of metric spatial expansion.

Constructed Response Question

NGSS Practice Task · HS-ESS1-2 · 4 Marks

An astronomical observatory captures the optical spectrum of a distant galaxy, Galaxy GN-X7.

In a terrestrial physics laboratory, the prominent hydrogen absorption line (Hα) is measured at a rest wavelength of λrest = 656.3 nm.
In the light collected from Galaxy GN-X7, this exact same Hα absorption line is observed at λobs = 853.2 nm.

Astronomers use Hubble’s Law to relate recessional velocity to distance:
z = (λobs − λrest) / λrest   and   v ≈ z · c   (for z < 1, where c = 3.0 × 105 km/s)
(a) Calculate the redshift (z) and recessional velocity (v, in km/s) of Galaxy GN-X7. [1 mark]

(b) Using Hubble’s Constant (H0 ≈ 70 km/s per megaparsec, where 1 megaparsec ≈ 3.26 million light-years), calculate the approximate distance to Galaxy GN-X7 in megaparsecs and in millions of light-years. [1 mark]

(c) A non-scientist claims that GN-X7’s high recessional velocity proves that our galaxy is located at the absolute center of the universe. Refute this claim using the cosmological model of cosmic expansion, and identify one additional piece of independent astronomical evidence that supports the Big Bang theory. [2 marks]

Mark scheme: 4 marks
  • Part (a) Redshift & Velocity Calculation [1 mark]:
    • z = (853.2 − 656.3) / 656.3 = 196.9 / 656.3 = 0.300 [1 mark]
    • v = 0.300 × 300,000 km/s = 90,000 km/s (or 9.0 × 104 km/s) [included in mark]
  • Part (b) Distance Calculation [1 mark]:
    • d = v / H0 = 90,000 / 70 ≈ 1,286 Mpc (≈ 1.29 × 103 Mpc) [1 mark]
    • In light-years: 1,286 × 3.26 million ly ≈ 4,190 million light-years (4.19 billion ly) [included in mark]
  • Part (c) Refutation of Cosmic Center & Additional Evidence [2 marks]:
    • Refutation: Explains that space expands uniformly everywhere. An observer on Galaxy GN-X7 (or any other galaxy) would observe the Milky Way and all other galaxies receding from them at the exact same rates; the universe has no unique “center” or edge in 3D space. [1 mark]
    • Additional Evidence: Identifies either: (1) The Cosmic Microwave Background (CMB), an isotropic 2.7 K relic thermal glow from recombination; OR (2) Primordial Elemental Abundance (BBN), predicting ~75% H and ~25% He matching pristine gas clouds. [1 mark]

Self-score: 4 = correct z and v math, accurate distance conversion, clear cosmological refutation, and valid additional evidence · 3 = minor math rounding error · 2 = parts (a) and (b) correct only · ≤1 = incomplete responses without physical justification.

Why This Matters: The James Webb Space Telescope & Cosmic Dawn

Launched in 2021, the James Webb Space Telescope (JWST) orbits 1.5 million kilometers from Earth at Lagrange point L2. Because light from the earliest galaxies formed 13.5 billion years ago has been redshifted by cosmic expansion out of the visible spectrum and into deep infrared (z > 10), human eyes and optical Hubble telescopes cannot see them. By observing with massive gold-plated infrared mirrors chilled to −233 °C, JWST captures the very first stars and galaxies igniting at “Cosmic Dawn,” testing the boundaries of Big Bang nucleosynthesis.