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Magnitude Museum
Dr. Jay Maron

Astronomy
Telescopes
Music
Mechanics
Elements
Materials

Ecology
Biomass
Food
Brains

Energy
Mining
Nuclear
Wealth
Geology

Rockets
Electric vehicles
Supercomputers
Sports
History of science

Gravity
Particles



Sizes to scale. Distances between planets are to scale.

Sizes to scale

Earth and moon, with size and distance to scale.

Sizes to scale. Also, the size of a moon is in scale with the distance to its host planet.

Continue to the rest of the "scales of the universe exhibit"


Volcanoes and Earthquakes


Rivers


Telescopes


Musical instrument range

Green dots are open strings.


Mechanics

Speed of firearms, balls, and animals


Animal speed


Particle masses

Radius scales as the cube root of particle mass.


Timeline of the universe

Cosmology


Timeline of the big bang



Bird migration

Click for video


Biomass


Brains


Food

Calories and protein

The left plot shows the protein and calorie content of food. Foods with high protein and low fat are in the lower right. Nuts are heavy in protein, especially peanuts.

The right plot shows how much calories and protein you get per dollar. The cheapest meats are pork, chicken, and turkey.


Potassium, phosphorus, and calcium

The plot shows the potassium, phosphorus, and calcium content of food. Calcium is abundant in cheese and milk and rare in other foods. Sesame is rich in calcium.


Bone nutrients: calcium and phosphorus


Potassium and phosphorus

The plot shows the phosphorus and potassium content of food. Most nuts are rich in these elements.


Bird seed: calories and calcium

For bird seed, what matters is calories and calcium, and the best seeds are sesame and nyger.


Supercomputers


Electric supercars

Power sources

Drag


Nuclear

Isotopes


Radioisotopes


Blackbody radiation

Color is as your eye would see.


Special relativity

LIGO gravitational wave events.

Twin paradox. Suppose a ship travels from Earth to Mars and back.


Sports

College conferences


Stadiums


Rugby conferences


Quarterbacks


History of science


History of war and plagues


Energy


Mining


Nearby stars

Sizes are to scale and colors are as your eye perceives. Brightness is scaled logarithmically. The image is 40 light years across.

Proxima Centauri is the small red dot on top of Alpha Centauri. Beta Centauri is at the same place as Alpha Centauri, and is not shown.

Faint red dots are red dwarfs.


Star types

Jupiter
Brown
M
K
G
F
A
B
O
dwarf
(Red dwarf)

The sun is a G star.

Sizes and colors are to scale. Brightness is not to scale. Blue giants are vastly brighter than red dwarfs.

Mass increases rightward.


Stars visible to the eye

Color is as your eye perceives, and dot size scales with the logarithm of luminosity. The image is 500 light years across, and it's aligned with the galactic plane. If you are far away from the galaxy, such that all the stars are the same distance from you, then this is what you would see. The galaxy is a mix of red, orange, white, and blue stars, and they average to white.


Galactic plane

For stars, color is as your eye perceives, and dot size scales with the logrithm of luminosity. The image is 5000 light years across, and it's aligned with the galactic plane.


Milky Way, telescope image
We see only the near side of the Milky Way. The far side is obscured by dust.
Milky Way

The big green dot is the supermassive black hole at the center of the galaxy, and the sun is to the left. The image is 80000 light years across.

Globular clusters are centered around the galaxy center.

The sun is in a spiral arm, which is mapped out by stars and star-forming clouds.

Most of the far side of the galaxy is obscured by dust, which is why most of the objects are on the near side of the galaxy. Globular clusters and blue giant stars are bright enough to be seen on the far side of the galaxy.


Globular cluster of stars, telescope image

Local group of galaxies

The largest galaxies in the local group are the Milky Way and Andromeda. Sizes and distances are to scale. The image is 6 million light years across. Color indicates the Z coordinate. Blue points have positive Z, red points have negative Z, and green points have Z=0.


Local group galaxies, telescope images

Andromeda
Large Magellanic Cloudd
Small Magellanic Cloud
Triangulum


Galaxies within 35 million light years
The image is 70 million light years across. Galaxy mass scales with dot size. Color indicates the Z coordinate. Blue points have positive Z, red points have negative Z, and green points have Z=0.

Most galaxies lie in a plane, the "supergalactic plane". This is why most of them are green. The plane Z=0 is aligned with the supergalactic plane.


Bright galaxies, telescope images

Sombrero
Cat's Eye
Phantom
Pinwwheel
M96
Black Eye
Cigar
Whirlpool
Southern Pinwheel
M95
M105
M106
Sculptor
M108


Galaxy superclusters

Dots are "Abell clusters", which are clusters of galaxies. Abell clusters are often grouped into superclusters.

The image is 2000 million light years across. Blue points have positive Z, red points have negative Z, and green points have Z=0.

Most superclusters lie in a plane, the "supergalactic plane". This is why most of them are green. The plane Z=0 is aligned with the supergalactic plane.


Galaxy clusters, telescope images
Fornax
Virgo
Coma
Pavo-Indus
Saraswati
Leo
Shapley

Sculptor
Centurus
Hydra
Hyperion
Caelum
Horolgium
Corona Borealis


Local group of galaxies, with radial velocities

This shows the galaxies of the local group and their radial velocities. Most galaxies are heading in the direction of the Milky Way. Andromeda is headed for a collision with the Milky Way. The LMC and SMC are headed away from us but they will turn around and crash into the Milky Way.


Hubble law

This shows the Hubble law. Nearby galaxies tend to be moving toward us and distant galaxes are always moving away from us. The farther the galaxy, the faster it tends to move away from us.


Hubble law

The universe expands according to the Hubble law. If there were no gravity, all galaxies would fall on the Hubble line. Departures rom the Hubble law are due to gravity between galaxies.

For each cluster, we identified the largest galaxies and used these for the plot. Each point represents a galaxy, and the label denotes what cluster the galaxy belongs go.


Star mass and luminosity

Star mass and radius

Star mass and temperature

Solar system gravity




Wealth

A nation's GDP and power consumption correlated.

The Gini coefficient characterizes a nation's wealth distribution. The larger the Gini coefficient, the more concentrated the wealth.


Elements

Materials science textbook

Price



Elastic stength

The plot shows the elastic strength of materials Alloys are much stronger than pure metals. Kevlar is substantially stronger than metals.



Appendix with more element plots


Rockets








Appendix

Elements

Materials science textbook

Price



Stiffness

For a material, the "stiffness" is characterized by the "Tensile modulus". The stiffer a material, the more force it takes to stretch it.

The plot shows the elastic energy per mass at the breaking point, divided by the density. Alloys are much stronger than pure metals. Kevlar is substantially stronger than metals.

Stiffness tends to go together with density.



The following plot quantifies the elastic strength of materials.

Kevlar is stronger than metals.

Alloys are stronger than pure metals.

The "Yield strength" is the tensile force/area required to break it.


Rivers


Molecules

Atom size

Dot size corresponds to atom size. For gases, the density at boiling point is used.


Hydrogen molecules and valence

LiH
BeH2
BH3
CH4
NH3
H2O
HF

Hydrogen forms molecules with all elements except the noble gases, osmium, iridium, promethium, francium, and radium. This makes it a benchmark for determining the number of bonds that each element forms, as well as the strength of each element's attraction for electrons.


Oxides

H2O
Li2O
BeO
B2O3
CO2
N2O
O2
OF2


Oxyanions

Water
Carbonic acid
Nitric acid
Nitrous acid
Silicic acid
Phosphoric acid
Sulfuric acid

Hydroxide
Carbonate
Nitrate
Nitrite
Silicate
Phosphate
Sulfate


Carbides

Tungsten carbide drill
Tungsten carbide
Silicon carbide
Boron carbide


Propane with hydrogens included
Propane with hydrogen excluded

A molecule is organic if it contains carbon. Molecules are often depicted with the hydrogens excluded.


Alkanes

Methane
Ethane
Propane
Octane

An "Alkane" is a carbon chain with hydrocarbons attached. At standard temperature (300 K), alkanes are solid if they have more than 20 carbons. This is why lipids (long alkanes) are the optimal form of energy storage. Short alkanes are liquids or gases at STP and are hard to store.


Cycloalkanes

Cyclohexane comes in different conformations with different energies.


Cyclohexene


Benzene

Benzine is a resonance molecule.

Napthaline
Napthaline


3D

Tetrahedrane
Cubane
Methylcyclopropene
Propellane
Pagodane
Pagoda


Functional group

Organic molecules are classified by their functional group. "R" stands for an arbitrary molecule.

Alkyne
Alcohol
Thiol
Carboxyl

Aldehyde
Ketone group
Thial
Thioketone

Ether
Sulfide

Peroxy group
Organice disulfide
Azo group
Methylenedioxy group

Carboxyl group
Nitro group
Phosphate
Phosphonic acid

Phenyl group
Pyridyl group


ATP and ATP Synthase

Enzymes use ATP as an energy source to power chemical reactions. ATP and ATP synthase are common to all Earth life.

* Video of the ATP synthase enzyme in action

Amino acids

Amino acids have the above form, where R stands for an arbitrary molecule.

The 21 amino acids used by eucaryote life


Protein

Synthesis of two amino acids. Proteins are chains of animo acids with a backbone of the form:

C-C-N-C-C-N-C-C-N-C-C-N-C-C-N

DNA and the genetic code

DNA codes a sequence of amino acids. The 64-element codon system is universal to Earth life.

The codon ATG both codes for methionine and serves as an initiation site: the first ATG in an mRNA's coding region is where translation into protein begins.

21 amino acids are used by eucaryote. More than 500 amino acids are known.


Sugar

Glucose

A sugar generally has the formula CN H2N ON, where N = 2, 3, etc. The common sugars are hexoses with N=6.

         Number of   Number of
          carbons     sugars
Diose        2          1
Triose       3          2
Tetrose      4          3
Pentose      5          4
Hexose       6         12       At least 6 carbons are required to form a ring
Heptose      7       many       Rarely observed in nature
Octose       8       many       Unstable.  Not observered in nature.
"Number of sugars" refers to the number of different types of sugar molecules for each carbon number.

Each sugar molecule has two mirror-symmetric forms, the "D" and "L" form. Only the D forms are found in nature.

The following figures show all sugars up to 6 carbons. All can be metabolized by humans.

2 carbons:

Glycolaldehyde

3 carbons:

Glyceraldehyde
Dihydroxyacetone

4 carbons:

Erythrose
Threrose
Erythrulose

5 carbons:

Ribose
Arabinose
Lyxose
Xylose

6 carbons:

Glucose
Galactose
Mannose
Allose
Altrose
Gulose
Idose
Talose

Fructose
Sorbose
Psichose
Tagatose

         Energy  Sweetness

Succrose   1.00    1.00      Benchmark
Glucose             .74
Maltose             .32
Galactose           .32
Lactose             .16
Allose
Altrose
Mannose
Fructose           1.73
Psichose            .70
Tagatose    .38     .92
Sorbose            1.0
Honey               .97

Complex sugars
Monosaccharde:   1 sugar molecule
Disaccharide:    2 monosaccharides
Polysaccharide:  More than 2 monosaccharides, such as starch and cellulose
Sucrose
Maltose
Lactose
Lactulose
Trehalose
Sucrose    =  Glucose     + Fructose
Maltose    =  Glucose     + Glucose
Lactose    =  Galactose   + Glucose
Lactulose  =  Galactoce   + Fructose
Trehalose  =  Glucose     + Glucose
Cellobiose =  Glucose     + Glucose
Chitobiose =  Glucosamine + Glucosamine
Starch and cellulose are long chains of glucose molecules.

Starch
Cellulose


Synthesis


Metabolism

Fatty acid with 16 carbons
Sugar (glucose)
Acetyl
Pyruvic acid
H2O
CO2

Fatty acids and sugars are metabolized in the following stages, with each stage yielding energy.

Fatty acid    →     Acetyl      →     CO2 and H2O

Sugar         →     Pyruvate    →     CO2 and H2O

Blood delivers fatty acids to cells.

The citric acid cycle (Krebs cycle) converts acetyl or pyrovate into H2O and CO2. Coenzyme-A carries the acetyl around.


Fat metabolism

A fat molecule is converted into a fatty acid by lipolysis, and then the fatty acid is converted into acetyl by beta oxydation, and then the acetyl is converted into H2O and CO2 by the citric acid cycle.

Beta oxidation cleaves 2 carbons from a fatty acid, which becomes acetyl. This process is repeated until te entire fatty acid has been converted into acetyls.

The steps of beta oxidation are:


Sugar metabolism (glycolysis)

Glycolysis converts a glucose molecule into 2 pyrovate molecules. A summary of the reaction showing only the starting and ending points is:

The full reaction is:


Alcohol

An alcohol is a carbon chain with one OH attached.

Methanol
Ethanol
Propanol
Isopropanol
Butanol

          Carbons
Methanol     1       Toxic
Ethanol      2       Inebriating
Propanol     3       3 times more inebriating than ethanol
Isopropanol  3       Toxic
Butanol      4       6 times more inebriating than ethanol

Fatty acids (carboxylic acids)

Formic acid
Acetic acid
Palmitic acid

Palmitic acid has 16 carbons and is the most common fatty acid found in food.

Carbons
   1
   2    Vinegar
   3
   4    Found in butter
   8    Found in coconuts
  10    Found in coconuts
  12    Found in coconuts
  16    Most common fatty acid.  Found in palm oil
  18    Found in chocolate
  20    Found in peanut oil

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© Jason Maron, all rights reserved.

Data from Wikipedia unless otherwise specified.