column mass mixing ratio derivations
column mass mixing ratio from column mass density
symbol
description
unit
variable name
\(\sigma\)
column mass density of total air
\(\frac{kg}{m^3}\)
column_density {:}
\(\sigma_{x}\)
column mass density of air component x (e.g. \(\sigma{O_{3}}\))
\(\frac{kg}{m^3}\)
<species>_column_density {:}
\(q_{x}\)
column mass mixing ratio of quantity x with regard to total air
\(\frac{kg}{kg}\)
<species>_column_mass_mixing_ratio {:}
The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.
\[q_{x} = \frac{\sigma_{x}}{\sigma}\]column mass mixing ratio dry air from column mass density
symbol
description
unit
variable name
\(\sigma_{dry\_air}\)
column mass density of dry air
\(\frac{kg}{m^3}\)
dry_air_column_density {:}
\(\sigma_{x}\)
column mass density of air component x (e.g. \(\sigma{O_{3}}\))
\(\frac{kg}{m^3}\)
<species>_column_density {:}
\(\bar{q}_{x}\)
column mass mixing ratio of quantity x with regard to dry air
\(\frac{kg}{kg}\)
<species>_column_mass_mixing_ratio_dry_air {:}
The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.
\[\bar{q}_{x} = \frac{\sigma_{x}}{\sigma_{dry\_air}}\]column mass mixing ratio from column volume 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.
\[q_{x} = \nu_{x}\frac{M_{x}}{M_{air}}\]column mass mixing ratio dry air from column volume 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.
\[\bar{q}_{x} = \bar{\nu}_{x}\frac{M_{x}}{M_{dry\_air}}\]stratospheric column mass mixing ratio dry air from stratospheric column volume 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.
\[\bar{q}_{x} = \bar{\nu}_{x}\frac{M_{x}}{M_{dry\_air}}\]tropospheric column mass mixing ratio dry air from tropospheric column volume 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.
\[\bar{q}_{x} = \bar{\nu}_{x}\frac{M_{x}}{M_{dry\_air}}\]