# gsw_alpha_CT_exact

    thermal expansion coefficient with respect to
    Conservative Temperature

## Contents

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

## USAGE:

    alpha_CT_exact = gsw_alpha_CT_exact(SA,CT,p)

## DESCRIPTION:

    Calculates the thermal expansion coefficient of seawater with respect to
    Conservative Temperature.

    Note that this function uses the full Gibbs function.  There is an
    alternative to calling this function, namely gsw_alpha(SA,CT,p),
    which uses the computationally efficient 48-term expression for density
    in terms of SA, CT and p (McDougall et al., 2011).

    Click for a more detailed description of alpha with
    respect to Conservative Temperature.

## INPUT:

    SA  =  Absolute Salinity                                          [ g/kg ]
    CT  =  Conservative Temperature (ITS-90)                         [ deg C ]
    p   =  sea pressure                                               [ dbar ]
           (ie. 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:

    alpha_CT_exact  =  thermal expansion coefficient                   [ 1/K ]
                       with respect to Conservative Temperature

## EXAMPLE:

    SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
    CT = [28.7856; 28.4329; 22.8103; 10.2600;  6.8863;  4.4036;]
    p =  [     10;      50;     125;     250;     600;    1000;]

    alpha_CT_exact = gsw_alpha_CT_exact(SA,CT,p)

    alpha_CT_exact =

    1.0e-003 *

       0.324533064867296
       0.322678526255574
       0.281368664494053
       0.173468360341201
       0.146876661394539
       0.130276253562739

## AUTHOR:

    Paul Barker and Trevor McDougall                      [ help@teos-10.org ]

## VERSION NUMBER:

    3.02 (17th November, 2012)

## 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 Eqn. (2.18.3) of this TEOS-10 manual.

    McDougall T.J., P.M. Barker, R. Feistel and D.R. Jackett, 2013:  A
     computationally efficient 48-term expression for the density of
     seawater in terms of Conservative Temperature, and related properties
     of seawater.  To be submitted to J. Atm. Ocean. Technol., xx, yyy-zzz.

    The software is available from http://www.TEOS-10.org