# gsw_thermobaric_CT_exact

`thermobaric coefficient`

## USAGE:

`thermobaric_CT_exact = gsw_thermobaric_CT_exact(SA,CT,p)`

## DESCRIPTION:

```Calculates the thermobaric coefficient of seawater with respect to
Conservative Temperature. This routine calculates the thermobaric
coefficient with the full TEOS-10 Gibbs function expression for density.
This function uses finite differences to calculate the temperature and
pressure derivatives.```
```Note that this function uses the full Gibbs function.  There is an
alternative to calling this function, namely gsw_thermobaric(SA,CT,p)
which uses the computationally efficient 75-term expression for specific
volume in terms of SA, CT and p (Roquet et al., 2015). ``` ```Click for a more detailed description of the thermobaric coefficient.```

## INPUT:

```SA  =  Absolute Salinity                                        [ g/kg ]
CT  =  Conservative Temperature                                [ deg C ]
p   =  sea pressure                                             [ dbar ]
( i.e. absolute pressure - 10.1325 dbar )```
```SA & CT need to have the same dimensions.
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA & CT are MxN.```

## OUTPUT:

```thermobaric_CT_exact  =  thermobaric coefficient with respect
to Conservative Temperature.      [ 1/(K Pa) ]
Note. The pressure derivative is taken with respect to
pressure in Pa not dbar.```

## EXAMPLE:

```SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
CT = [28.8099; 28.4392; 22.7862; 10.2262;  6.8272;  4.3236;]
p =  [     10;      50;     125;     250;     600;    1000;]```
`thermobaric_CT_exact = gsw_thermobaric_CT_exact(SA,CT,p)`
`thermobaric_CT_exact =`
` 1.0e-011 *`
```   0.141211954826430
0.142227388779625
0.163759355334668
0.226305706030888
0.246124896313073
0.261352216017725```

## AUTHOR:

`David Jackett, Trevor McDougall and Paul Barker   [ help@teos-10.org ]`

## VERSION NUMBER:

`3.05 (16th February, 2015)`

## REFERENCES:

```IOC, SCOR and IAPSO, 2010: The international thermodynamic equation of
seawater - 2010: Calculation and use of thermodynamic properties.
Intergovernmental Oceanographic Commission, Manuals and Guides No. 56,
UNESCO (English), 196 pp.  Available from the TEOS-10 web site.
See Eqns. (3.8.2) and (P.2) of this TEOS-10 manual.```
```Roquet, F., G. Madec, T.J. McDougall, P.M. Barker, 2015: Accurate
polynomial expressions for the density and specifc volume of seawater
using the TEOS-10 standard. Ocean Modelling.```
`The software is available from http://www.TEOS-10.org`