Solid State Physics: Crystal Structure, Density, Elasticity, and Scaling

What is the arrangement of atoms in a solid called?

Crystal structure

What indicates the crystalline nature of a solid when exposed to X-rays?

An X-ray diffraction pattern

What are solids that do not have a regular atomic arrangement called?

Amorphous solids

Name the four types of bonds that can exist between atoms in a solid.

Ionic, covalent, metallic, Van der Waals

What is density?

Amount of mass per unit volume of a material

What is the unit of density?

Kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³)

What does density depend on?

Mass of the atoms and spacing between the atoms

What is elasticity?

A measure of how much an object changes shape when a force is applied and how well it returns to its original shape

What is Hooke's Law?

The extension of a spring is directly proportional to the force applied to it (F ~ Δx)

What happens to a material under tension?

It is pulled apart

What happens to a material under compression?

It is squashed together

What shape maximizes strength in construction beams?

I-beam shape

Where should a hole be drilled in a tree branch to weaken it the least?

Near the middle

What is the purpose of arches in older buildings?

To support structures without needing many columns

What is a catenary?

The natural shape of a chain that hangs between two points, which is also the proper shape for an arch supporting only its own weight

What does scaling study in relation to objects?

How volume and shape affect strength, weight, and surface area

How does strength relate to cross-sectional area?

Strength is related to the area of the cross section, which is two-dimensional

How does weight relate to volume?

Weight relates to volume, which is three-dimensional

How do cross-sectional area and strength grow with increases in linear dimension?

They grow as the square of the increase

How do volume and weight grow with increases in linear dimension?

They grow as the cube of the increase

What happens to the surface area to volume ratio as size increases?

The ratio decreases with increasing size

If a cube is scaled up to a cube that is 10 cm long on each side, how does the surface area to volume ratio change?

It becomes 1/10 of the original

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