column volume mixing ratio derivations
column volume mixing ratio from column number density
symbol
description
unit
variable name
\(c\)
total column number density of total air
\(\frac{molec}{m^2}\)
column_number_density {:}
\(c_{x}\)
total column number density of air component x (e.g. \(c_{O_{3}}\))
\(\frac{molec}{m^2}\)
<species>_column_number_density {:}
\(\nu_{x}\)
column volume mixing ratio of quantity x with regard to total air
\(ppv\)
<species>_column_volume_mixing_ratio {:}
The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.
\[\nu_{x} = \frac{c_{x}}{c}\]column volume mixing ratio dry air from column number density
symbol
description
unit
variable name
\(c_{dry\_air}\)
total column number density of dry air
\(\frac{molec}{m^2}\)
dry_air_column_number_density {:}
\(c_{x}\)
total column number density of air component x (e.g. \(c_{O_{3}}\))
\(\frac{molec}{m^2}\)
<species>_column_number_density {:}
\(\bar{\nu}_{x}\)
column volume mixing ratio of quantity x with regard to dry air
\(ppv\)
<species>_column_volume_mixing_ratio_dry_air {:}
The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.
\[\bar{\nu}_{x} = \frac{c_{x}}{c_{dry\_air}}\]column volume mixing ratio from column mass mixing ratio
symbol
description
unit
variable name
\(M_{air}\)
molar mass of total air
\(\frac{g}{mol}\)
molar_mass {:}
\(M_{x}\)
molar mass of air component x
\(\frac{g}{mol}\)
\(q_{x}\)
column mass mixing ratio of quantity x with regard to total air
\(\frac{kg}{kg}\)
<species>_column_mass_mixing_ratio {:}
\(\nu_{x}\)
column volume mixing ratio of quantity x with regard to total air
\(ppv\)
<species>_column_volume_mixing_ratio {:}
The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.
\[\nu_{x} = q_{x}\frac{M_{air}}{M_{x}}\]column volume mixing ratio dry air from column mass mixing ratio dry air
symbol
description
unit
variable name
\(M_{dry\_air}\)
molar mass of dry air
\(\frac{g}{mol}\)
\(M_{x}\)
molar mass of air component x
\(\frac{g}{mol}\)
\(\bar{q}_{x}\)
column mass mixing ratio of quantity x with regard to dry air
\(\frac{kg}{kg}\)
<species>_column_mass_mixing_ratio_dry_air {:}
\(\bar{\nu}_{x}\)
column volume mixing ratio of quantity x with regard to dry air
\(ppv\)
<species>_column_volume_mixing_ratio_dry_air {:}
The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.
\[\bar{\nu}_{x} = \bar{q}_{x}\frac{M_{dry\_air}}{M_{x}}\]stratospheric column volume mixing ratio dry air from stratospheric column mass mixing ratio dry air
symbol
description
unit
variable name
\(M_{dry\_air}\)
molar mass of dry air
\(\frac{g}{mol}\)
\(M_{x}\)
molar mass of air component x
\(\frac{g}{mol}\)
\(\bar{q}_{x}\)
stratospheric column mass mixing ratio of quantity x with regard to dry air
\(\frac{kg}{kg}\)
stratospheric_<species>_column_mass_mixing_ratio_dry_air {:}
\(\bar{\nu}_{x}\)
stratospheric column volume mixing ratio of quantity x with regard to dry air
\(ppv\)
stratospheric_<species>_column_volume_mixing_ratio_dry_air {:}
The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.
\[\bar{\nu}_{x} = \bar{q}_{x}\frac{M_{dry\_air}}{M_{x}}\]tropospheric column volume mixing ratio dry air from tropospheric column mass mixing ratio dry air
symbol
description
unit
variable name
\(M_{dry\_air}\)
molar mass of dry air
\(\frac{g}{mol}\)
\(M_{x}\)
molar mass of air component x
\(\frac{g}{mol}\)
\(\bar{q}_{x}\)
tropospheric column mass mixing ratio of quantity x with regard to dry air
\(\frac{kg}{kg}\)
tropospheric_<species>_column_mass_mixing_ratio_dry_air {:}
\(\bar{\nu}_{x}\)
tropospheric column volume mixing ratio of quantity x with regard to dry air
\(ppv\)
tropospheric_<species>_column_volume_mixing_ratio_dry_air {:}
The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.
\[\bar{\nu}_{x} = \bar{q}_{x}\frac{M_{dry\_air}}{M_{x}}\]