US Survey Feet (ft-us) to Nanometers (nm) conversion

What is us survey feet?

What is US Survey Feet?

US Survey Feet is a unit of length used in the United States for land surveying. It is slightly different from the international foot. Understanding its origin and applications is crucial for accurate land measurements and legal descriptions.

Origin and Definition

The US Survey Foot (ftUS) is defined based on the Mendenhall Order of 1893, which related customary units to the metric system using the meter. At that time, it was defined as:

1 US Survey Foot = $\frac{3937}{1200}$ meters

This value equates to approximately 0.3048006096 meters. This differs slightly from the international foot which is exactly 0.3048 meters. The difference, while seemingly small (2 parts per million), can accumulate significantly over large distances, impacting land boundaries and area calculations.

The Issue & Readjustment

The difference between the international foot and the US survey foot caused discrepancies, especially in states that relied heavily on the Public Land Survey System (PLSS). Over time, states have addressed this issue in various ways:

• Many states have officially adopted the international foot for all new surveys.
• Some states continue to use the US Survey Foot. It's crucial to know which definition is in use for any particular survey or land description.
• Conversion factors are often provided in legal documents to clarify which foot is being used.

For more information about each state's definitions of feet, please read NOAA's definition of US Survey foot.

Usage and Real-World Examples

While its use is declining, the US Survey Foot is still relevant in some contexts, especially when dealing with older surveys and legal descriptions. Understanding its magnitude helps grasp spatial relationships:

• Property Boundaries: In states where it is still used, a land description stating a lot is 100 US Survey Feet wide means it is approximately 30.48006096 meters wide.
• Land Area Calculations: Area calculations, like acres, derived from measurements in US Survey Feet will differ slightly from those derived from international feet.
• Geographic Information Systems (GIS): GIS databases may contain data referenced to US Survey Feet, requiring proper transformation when integrating with data using the international foot.

Interesting Facts

• The slight difference between the two definitions of a foot has caused legal disputes related to property boundaries.
• The National Geodetic Survey (NGS) provides tools and resources for converting between the US Survey Foot and the international foot.

What is Nanometers?

A nanometer is a unit of length in the metric system, crucial for measuring extremely small distances. It's widely used in nanotechnology, materials science, and other fields dealing with nanoscale phenomena.

Definition and Formation

A nanometer (nm) is equal to one billionth of a meter.

$$1 \text{ nm} = 10^{-9} \text{ m}$$

The prefix "nano-" comes from the Greek word "νᾶνος" (nanos), meaning dwarf. It indicates a factor of $10^{-9}$. So, when we say something is a nanometer in size, we mean it's incredibly tiny.

Connection to Light and Wavelengths

Light's wavelength is frequently measured in nanometers. The range of visible light, for instance, falls between 400 nm (violet) and 700 nm (red). The color of light we perceive is determined by its wavelength in this range.

Applications and Examples

• Nanotechnology: A primary field using nanometers, designing and manipulating materials and devices at the atomic and molecular level. For example, transistors in modern CPUs are measured in nanometers (e.g., 5nm, 3nm process).

• Materials Science: Characterizing the size of nanoparticles and thin films. For example, the thickness of graphene, a single layer of carbon atoms, is about 0.34 nm.

• Biology: Measuring the size of viruses, DNA, and other biological structures. For instance, the diameter of a DNA molecule is roughly 2 nm.

• Manufacturing: Fabricating microchips and other nanoscale devices. For example, Extreme Ultraviolet (EUV) lithography uses light with a wavelength of 13.5 nm to create intricate patterns on microchips.

Key Figures and Laws

While there isn't a single law named after nanometers, the field is deeply intertwined with quantum mechanics and materials science. Scientists like Richard Feynman, with his famous 1959 lecture "There's Plenty of Room at the Bottom," helped inspire the field of nanotechnology. His ideas on manipulating individual atoms and molecules laid the groundwork for much of the nanoscale research happening today.

Interesting Facts

• A human hair is about 80,000-100,000 nm wide.
• Nanomaterials can exhibit unique properties compared to their bulk counterparts due to quantum mechanical effects and increased surface area.
• Nanoparticles are being explored for various applications, including drug delivery, solar cells, and catalysts.