# gsw_cabbeling_CT_exact

    cabbeling coefficient

## Contents

- USAGE:
- DESCRIPTION:
- INPUT:
- OUTPUT:
- EXAMPLE:
- AUTHOR:
- VERSION NUMBER:
- REFERENCES:

## USAGE:

    cabbeling_CT_exact = gsw_cabbeling_CT_exact(SA,CT,p)

## DESCRIPTION:

    Calculates the cabbeling coefficient of seawater with respect to
    Conservative Temperature.  This routine calculates the cabbeling
    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_cabbeling(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
    cabbeling 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:

    cabbeling_CT_exact  =  cabbeling coefficient with respect    [ 1/(K^2) ]
                            to Conservative Temperature.

## 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;]

    cabbeling_CT_exact = gsw_cabbeling_CT_exact(SA,CT,p)

    cabbeling_CT_exact =

        1.0e-004 *

       0.086721431175509
       0.086912480322017
       0.092687965973739
       0.108817478199000
       0.112834789201168
       0.115346422817321

## AUTHOR:

    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. (3.9.2) and (P.4) 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