## Contents

## 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).

## 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