This window allows you to inspect, set or convert the units of the data values of your spectra.
The most trivial use of these is simply to document what type of units your spectra are measured in. However, a more powerful use of data units can be made when displaying more than one spectrum in a plot. In that case you can request that the data values of all the spectra are transformed into the same system, so you can compare values in Janskys with those in other flux per unit frequency and per unit wavelength systems (note to activate this option you must have the Options->Match coordinates and/or fluxes menu item selected in the plot window). For instance all the following systems are understood as fluxes and can be intercompared:
Jy | () |
W/m^2/Hz | () |
W/m^2/Angstrom | () |
W/cm^2/um | () |
erg/cm^2/s/Hz | () |
erg/cm^2/s/Angstrom | () |
Plus variations like
instead of
or maybe ,
etc. When reading unit strings like W/m^2/Hz you should say Watts per metre squared per Hertz,
which is actually mathematically the same as the expressions shown in to the right in parentheses
( in this
case). Note that dimensionally equivalent unit strings to those above maybe be recognised and
re-formatted.
In addition to flux systems dimensionally similar ones can also be used and transformed between in a plot, things like temperature. SPLAT-VO understands that and are temperatures in Kelvins and milliKelvins, same for units like and .
The units are described using strings that follow the conventions in FITS-WCS paper I Representation of World Coordinate in FITS by Greisen & Calabretta, and processed by the Starlink AST library (SUN/211). The following section is copied from SUN/211 for convenience. Not all units are relevant to data values (AST also provides the underlying coordinate transformations used in SPLAT-VO) and as noted above not all possible unit strings can be understood as fluxes (although support for more types is expected, for instance temperatures and magnitudes).
The adopted syntax is that described in FITS-WCS paper I Representation of World Coordinate in FITS by Greisen & Calabretta. We distinguish here between “basic” units and “derived” units: derived units are defined in terms of other units (either derived or basic), whereas basic units have no such definitions. Derived units may be represented by their own symbol (e.g. “Jy”—the Jansky) or by a mathematical expression which combines other symbols and constants to form a definition of the unit (e.g. “km/s”—kilometres per second). Unit symbols may be prefixed by a string representing a standard multiple or sub-multiple.
In addition to the unit symbols listed in FITS-WCS Paper I, any other arbitrary unit symbol may be used, with the proviso that it will not be possible to convert between spectra using such units. The exception to this is if both spectra refer to the same unknown unit string. For instance, an axis with unknown unit symbol "flop" could be converted to an axis with unit "Mflop" (Mega-flop).
Unit symbols (optionally prefixed with a multiple or sub-multiple) can be combined together using a limited range of mathematical operators and functions, to produce new units. Such expressions may also contain parentheses and numerical constants (these may optionally use “scientific” notation including an “E” character to represent the power of 10).
The following tables list the symbols for the basic and derived units which may be included in a units string, the standard prefixes for multiples and sub-multiples, and the strings which may be used to represent mathematical operators and functions.
Basic units | ||
Quantity | Symbol | Full Name
|
length | m | metre |
mass | g | gram |
time | s | second |
plane angle | rad | radian |
solid angle | sr | steradian |
temperature | K | Kelvin |
electric current | A | Ampere |
amount of substance | mol | mole |
luminous intensity | cd | candela |
Prefixes for multiples & sub-multiples
| |||||
Sub-multiple | Name | Prefix | Sub-multiple | Name | Prefix
|
deci | d | deca | da | ||
centi | c | hecto | h | ||
milli | m | kilo | k | ||
micro | u | mega | M | ||
nano | n | giga | G | ||
pico | p | tera | T | ||
femto | f | peta | P | ||
atto | a | exa | E | ||
zepto | z | zetta | Z | ||
yocto | y | yotta | Y | ||
Mathematical operators & functions
| |
String | Meaning
|
sym1 sym2 | multiplication (a space) |
sym1*sym2 | multiplication (an asterisk) |
sym1.sym2 | multiplication (a dot) |
sym1/sym2 | division |
sym1**y | exponentiation ( must be a numerical constant) |
sym1^y | exponentiation ( must be a numerical constant) |
log(sym1) | common logarithm |
ln(sym1) | natural logarithm |
exp(sym1) | exponential |
sqrt(sym1) | square root |
Derived units | |||
Quantity | Symbol | Full Name | Definition
|
area | barn | barn | 1.0E-28 m**2 |
area | pix | pixel | |
area | pixel | pixel | |
electric capacitance | F | Farad | C/V |
electric charge | C | Coulomb | A s |
electric conductance | S | Siemens | A/V |
electric potential | V | Volt | J/C |
electric resistance | Ohm | Ohm | V/A |
energy | J | Joule | N m |
energy | Ry | Rydberg | 13.605692 eV |
energy | eV | electron-Volt | 1.60217733E-19 J |
energy | erg | erg | 1.0E-7 J |
events | count | count | |
events | ct | count | |
events | ph | photon | |
events | photon | photon | |
flux density | Jy | Jansky | 1.0E-26 W /m**2 /Hz |
flux density | R | Rayleigh | 1.0E10/(4*PI) photon.m**-2 /s/sr |
flux density | mag | magnitude | |
force | N | Newton | kg m/s**2 |
frequency | Hz | Hertz | 1/s |
illuminance | lx | lux | lm/m**2 |
inductance | H | Henry | Wb/A |
length | AU | astronomical unit | 1.49598E11 m |
length | Angstrom | Angstrom | 1.0E-10 m |
length | lyr | light year | 9.460730E15 m |
length | pc | parsec | 3.0867E16 m |
length | solRad | solar radius | 6.9599E8 m |
luminosity | solLum | solar luminosity | 3.8268E26 W |
luminous flux | lm | lumen | cd sr |
magnetic field | G | Gauss | 1.0E-4 T |
magnetic flux | Wb | Weber | V s |
mass | solMass | solar mass | 1.9891E30 kg |
mass | u | unified atomic mass unit | 1.6605387E-27 kg |
magnetic flux density | T | Tesla | Wb/m**2 |
plane angle | arcmin | arc-minute | 1/60 deg |
plane angle | arcsec | arc-second | 1/3600 deg |
plane angle | mas | milli-arcsecond | 1/3600000 deg |
plane angle | deg | degree | pi/180 rad |
power | W | Watt | J/s |
pressure, stress | Pa | Pascal | N/m**2 |
time | a | year | 31557600 s |
time | d | day | 86400 s |
time | h | hour | 3600 s |
time | yr | year | 31557600 s |
time | min | minute | 60 s |
D | Debye | 1.0E-29/3 C.m | |
Accelerator keys