> ## Documentation Index
> Fetch the complete documentation index at: https://docs.davinci-app.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Units

## Base Units

### Length

* meter (m)
* inch (in)
* foot (ft)
* yard (yd)
* mile (mi)
* link (li)
* rod (rd)
* chain (ch)
* angstrom
* mil

### Surface Area

* m²
* sqin
* sqft
* sqyd
* sqmi
* sqrd
* sqch
* sqmil
* acre
* hectare

### Volume

* m³
* litre (l, L, lt, liter)
* cc
* cuin
* cuft
* cuyd
* teaspoon
* tablespoon

### Liquid Volume

* minim
* fluiddram (fldr)
* fluidounce (floz)
* gill (gi)
* cup (cp)
* pint (pt)
* quart (qt)
* gallon (gal)
* beerbarrel (bbl)
* oilbarrel (obl)
* hogshead
* drop (gtt)

### Angles

* radian (rad)
* degree (deg)
* gradian (grad)
* cycle
* arcsecond (arcsec)
* arcminute (arcmin)

### Time

* second (s, secs, seconds)
* minute (min, mins, minutes)
* hour (h, hr, hrs, hours)
* day (days)
* week (weeks)
* month (months)
* year (years)
* decade (decades)
* century (centuries)
* millennium (millennia)

### Frequency

* hertz (Hz)

### Mass

* gram (g)
* tonne
* ton
* grain (gr)
* dram (dr)
* ounce (oz)
* poundmass (lbm, lb, lbs)
* hundredweight (cwt)
* stick
* stone

### Electric Current

* ampere (A)

### Temperature

* kelvin (K)
* celsius (degC)
* fahrenheit (degF)
* rankine (degR)

### Amount of Substance

* mole (mol)

### Luminous Intensity

* candela (cd)

### Force

* newton (N)
* dyne (dyn)
* poundforce (lbf)
* kip

### Energy

* joule (J)
* erg
* Wh
* BTU
* electronvolt (eV)

### Power

* watt (W)
* hp

### Pressure

* pascal (Pa)
* psi
* atm
* torr
* bar

### Electricity and Magnetism

* ampere (A)
* coulomb (C)
* watt (W)
* volt (V)
* ohm
* farad (F)
* weber (Wb)
* tesla (T)
* henry (H)
* siemens (S)
* electronvolt (eV)

### Binary

* bits (b)
* bytes (B)

<Note>All time units are based on the Julian year, with one month being 1/12th of a Julian year, a year being one Julian year, a decade being 10 Julian years, a century being 100, and a millennium being 1000.</Note>

## Prefixes

### Decimal Prefixes

| Name   | Abbreviation | Value |
| ------ | ------------ | ----- |
| deca   | da           | 1e1   |
| hecto  | h            | 1e2   |
| kilo   | k            | 1e3   |
| mega   | M            | 1e6   |
| giga   | G            | 1e9   |
| tera   | T            | 1e12  |
| peta   | P            | 1e15  |
| exa    | E            | 1e18  |
| zetta  | Z            | 1e21  |
| yotta  | Y            | 1e24  |
| ronna  | R            | 1e27  |
| quetta | Q            | 1e30  |
| deci   | d            | 1e-1  |
| centi  | c            | 1e-2  |
| milli  | m            | 1e-3  |
| micro  | u            | 1e-6  |
| nano   | n            | 1e-9  |
| pico   | p            | 1e-12 |
| femto  | f            | 1e-15 |
| atto   | a            | 1e-18 |
| zepto  | z            | 1e-21 |
| yocto  | y            | 1e-24 |
| ronto  | r            | 1e-27 |
| quecto | q            | 1e-30 |

### Binary Prefixes

| Name | Abbreviation | Value |
| ---- | ------------ | ----- |
| kibi | Ki           | 1024  |
| mebi | Mi           | 1024² |
| gibi | Gi           | 1024³ |
| tebi | Ti           | 1024⁴ |
| pebi | Pi           | 1024⁵ |
| exi  | Ei           | 1024⁶ |
| zebi | Zi           | 1024⁷ |
| yobi | Yi           | 1024⁸ |

## Physical Constants

### Universal Constants

| Name                    | Symbol | Value             | Unit            |
| ----------------------- | ------ | ----------------- | --------------- |
| speed of light          | c      | 299792458         | m · s⁻¹         |
| gravitation constant    | G      | 6.6738480e-11     | m³ · kg⁻¹ · s⁻² |
| planck constant         | h      | 6.626069311e-34   | J · s           |
| reduced planck constant | ħ      | 1.05457172647e-34 | J · s           |

### Electromagnetic Constants

| Name                        | Symbol | Value                | Unit         |
| --------------------------- | ------ | -------------------- | ------------ |
| magnetic constant           | μ₀     | 1.2566370614e-6      | N · A⁻²      |
| electric constant           | ε₀     | 8.854187817e-12      | F · m⁻¹      |
| vacuum impedance            | Z₀     | 376.730313461        | Ω            |
| coulomb                     | κ      | 8.9875517873681764e9 | N · m² · C⁻² |
| elementary charge           | e      | 1.60217656535e-19    | C            |
| bohr magneton               | μB     | 9.2740096820e-24     | J · T⁻¹      |
| conductance quantum         | G₀     | 7.748091734625e-5    | S            |
| inverse conductance quantum | G₀⁻¹   | 12906.403721742      | Ω            |
| magnetic flux quantum       | φ₀     | 2.06783375846e-15    | Wb           |
| nuclear magneton            | μN     | 5.0507835311e-27     | J · T⁻¹      |
| klitzing                    | Rᴋ     | 25812.807443484      | Ω            |

### Atomic and Nuclear Constants

| Name                      | Symbol    | Value              | Unit     |
| ------------------------- | --------- | ------------------ | -------- |
| bohr radius               | a₀        | 5.291772109217e-11 | m        |
| classical electron radius | rₑ        | 2.817940326727e-15 | m        |
| electron mass             | mₑ        | 9.1093829140e-31   | kg       |
| fermi coupling            | Gₓ        | 1.1663645e-5       | GeV⁻²    |
| fine structure            | α         | 7.297352569824e-3  | -        |
| hartree energy            | Eₕ        | 4.3597443419e-18   | J        |
| proton mass               | mₚ        | 1.67262177774e-27  | kg       |
| deuteron mass             | mₓ        | 3.3435830926e-27   | kg       |
| neutron mass              | mₙ        | 1.6749271613e-27   | kg       |
| quantum of circulation    | ħ / (2mₑ) | 3.636947552024e-4  | m² · s⁻¹ |
| rydberg                   | R∞        | 10973731.56853955  | m⁻¹      |
| thomson cross section     |           | 6.65245873413e-29  | m²       |
| weak mixing angle         |           | 0.222321           | -        |
| efimov factor             |           | 22.7               | -        |

### Physico-Chemical Constants

| Name                  | Symbol | Value              | Unit            |
| --------------------- | ------ | ------------------ | --------------- |
| atomic mass           | mu     | 1.66053892173e-27  | kg              |
| avogadro              | NA     | 6.0221412927e23    | mol⁻¹           |
| boltzmann             | k      | 1.380648813e-23    | J · K⁻¹         |
| faraday               | F      | 96485.336521       | C · mol⁻¹       |
| first radiation       | c₁     | 3.7417715317e-16   | W · m²          |
| loschmidt             | n₀     | 2.686780524e25     | m⁻³             |
| gas constant          | R      | 8.314462175        | J · K⁻¹ · mol⁻¹ |
| molar planck constant | NA · h | 3.990312717628e-10 | J · s · mol⁻¹   |
| molar volume          | Vm     | 2.241396820e-10    | m³ · mol⁻¹      |
| sackur tetrode        |        | -1.164870823       | -               |
| second radiation      | c₂     | 1.438777013e-2     | m · K           |
| stefan boltzmann      | σ      | 5.67037321e-8      | W · m⁻² · K⁻⁴   |
| wien displacement     | b      | 2.897772126e-3     | m · K           |

### Adopted Values

| Name                    | Symbol | Value   | Unit       |
| ----------------------- | ------ | ------- | ---------- |
| molar mass              | Mu     | 1e-3    | kg · mol⁻¹ |
| molar mass of carbon-12 | M(¹²C) | 1.2e-2  | kg · mol⁻¹ |
| gravity                 | gₙ     | 9.80665 | m · s⁻²    |
| atm                     | atm    | 101325  | Pa         |

### Natural Units

| Name               | Symbol | Value             | Unit |
| ------------------ | ------ | ----------------- | ---- |
| planck length      | lP     | 1.61619997e-35    | m    |
| planck mass        | mP     | 2.1765113e-8      | kg   |
| planck time        | tP     | 5.3910632e-44     | s    |
| planck charge      | qP     | 1.87554595641e-18 | C    |
| planck temperature | TP     | 1.41683385e+32    | K    |

<Note>The values of loschmidt and molar volume are at T = 273.15 K and p = 101.325 kPa. The value of sackur tetrode is at T = 1 K and p = 101.325 kPa.</Note>

## Extended Units

| Name              | SI         |
| ----------------- | ---------- |
| dBi               |            |
| dBm               |            |
| pixel / pixels    |            |
| megapixels / MP   | 1e6 pixel  |
| knot / knots / kn | 1.852 km/h |
| lux               |            |
| rpm               | 6 deg/s    |