Dear Jonathan, Roy and others,

Thanks for your questions.

Jonathan, as Roy highlights, partial pressure and fugacity are not the same 
thing (see next comment). Unless additional variables have been observed or 
output from a model, the conversion can not be performed, and while in some 
situations it may be acceptable to assume pCO2 and fCO2 are interchangeable or 
crudely convertible, given that air-sea CO2 flux is the result of small 
differences between atmospheric and surface ocean CO2 values, not getting these 
numbers spot on can have a big impact (i.e. flux of CO2 from the ocean to the 
atmosphere rather than the other way round).

Roy, I had not appreciated that the canonical unit and actual unit of 
measurement could both be used. Using Pastal and micro atmospheres respectively 
would make sense. I also see what you are saying about defining the fugacity 
with respect to partial pressure. Your proposed definition (included again 
below) sounds good to me.

Revised definition:

Fugacity is the equivalent for a real gas to partial pressure for an ideal gas. 
The partial pressure of a dissolved gas in sea water is the partial pressure in 
air with which it would be in equilibrium. The partial pressure of a gaseous 
constituent of air is the pressure which it alone would exert with unchanged 
temperature and number of moles per unit volume.

Canonical unit: Pascal
Typical unit of measurement: micro atmospheres 

Thanks again,
Paul

> On 20 Sep 2018, at 18:36, Dorothee Bakker (ENV - Staff) <[email protected]> 
> wrote:
> 
> 
> Dear Matthias, cc Paul,
> 
> Thank you. How many participants does this email discussion have?
> 
> For a definition of fugacity I suggest checking e.g. Stumm and Morgan, 1981 
> and Zeebe and Wolf-Gladrow, 1991 (or 1992?).
> 
> Kind regards from the UEA Marine Sciences Field Course in Oban,
> 
> Dorothee.
> 
> 
> From: Matthias Tuma <[email protected]>
> Sent: 20 September 2018 17:03
> To: Dorothee Bakker (ENV - Staff)
> Subject: Fwd: [CF-metadata] New name: fugacity of CO2
>  
> Dear Dorothee,
> 
> FYI, I thought I might make you aware of the following discussion thread that 
> started 20min ago on the CF-metadata mailing list, which is dedicated to 
> discussion around the CF (Climate and Forecast) metadata standards for NetCDF 
> files.
> 
> Probably some of your community are on the list and may even comment, but I 
> thought I'd forward nonetheless FYI.
> 
> Best regards, Matthias
> 
> 
> ---------- Forwarded message ----------
> From: Lowry, Roy K. <[email protected]>
> Date: Thu, Sep 20, 2018 at 10:01 AM
> Subject: Re: [CF-metadata] New name: fugacity of CO2
> To: "Halloran, Paul" <[email protected]>, "[email protected]" 
> <[email protected]>
> 
> 
> Dear Paul,
> 
> I'm pretty sure the Canonical Unit should be Pascal, as with the existing 
> partial pressure Standard Names. Note that this doesn't mean the data need to 
> be in Pascals, it is just a way of expressing dimensionality in terms of SI. 
> There is a field for the actual units of measure in the parameter attributes.
> 
> There are existing partial pressure Standard Names for CO2 and CH4, with 
> partial pressure defined using the following text.
> 
> The partial pressure of a dissolved gas in sea water is the partial pressure 
> in air with which it would be in equilibrium. The partial pressure of a 
> gaseous constituent of air is the pressure which it alone would exert with 
> unchanged temperature and number of moles per unit volume. 
> 
> What is needed for fugacity is this with a description of the difference 
> between partial pressure and fugacity.  What do you think of the following?
> 
> Fugacity is the equivalent for a real gas to partial pressure for an ideal 
> gas. The partial pressure of a dissolved gas in sea water is the partial 
> pressure in air with which it would be in equilibrium. The partial pressure 
> of a gaseous constituent of air is the pressure which it alone would exert 
> with unchanged temperature and number of moles per unit volume.
> 
> Cheers, Roy.
> 
> I have now retired but will continue to be active through an Emeritus 
> Fellowship using this e-mail address.
> 
> 
> From: CF-metadata <[email protected]> on behalf of Halloran, 
> Paul <[email protected]>
> Sent: 20 September 2018 16:40
> To: [email protected]
> Subject: [CF-metadata] New name: fugacity of CO2
>  
> Dear mailing list,
> 
> I would like to propose a new standard name: 
> ‘fugacity_of_carbon_dioxide_in_sea_water’
> Variable name: fCO2
> Units: μatm
> Definition: The fugacity of CO2 is its effective partial pressure.
> 
> Thanks for your consideration of this,
> Paul
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> 
> 
> -- 
> Matthias Tuma
> WCRP Junior Professional Officer
> c/o WMO
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