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 for 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 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 for 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 for total air - \(\frac{g}{mol}\) - molar_mass {:} - \(M_{x}\) - molar mass for 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 for dry air - \(\frac{g}{mol}\) - \(M_{x}\) - molar mass for 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 for dry air - \(\frac{g}{mol}\) - \(M_{x}\) - molar mass for 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 for dry air - \(\frac{g}{mol}\) - \(M_{x}\) - molar mass for 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. \[\bar{q}_{x} = \bar{\nu}_{x}\frac{M_{x}}{M_{dry\_air}}\]