# gsw_alpha_wrt_pt_t_exact

    thermal expansion coefficient with respect to
    potential temperature

## Contents

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

## USAGE:

    alpha_wrt_pt_t_exact = gsw_alpha_wrt_pt_t_exact(SA,t,p)

## DESCRIPTION:

    Calculates the thermal expansion coefficient of seawater with respect to
    potential temperature, with a reference pressure of zero.

    Click for a more detailed description of alpha with
    respect to potential temperature.

## INPUT:

    SA  =  Absolute Salinity                                        [ g/kg ]
    t   =  in-situ temperature (ITS-90)                            [ deg C ]
    p   =  sea pressure                                             [ dbar ]
           (ie. absolute pressure - 10.1325 dbar)

    SA & t need to have the same dimensions.
    p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA & t are MxN.

## OUTPUT:

    alpha_wrt_pt_t_exact  =  Thermal expansion coefficient                   [ 1/K ]
                 with respect to potential temperature,
                 and with a reference pressure of zero dbar.

## EXAMPLE:

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

    alpha_wrt_pt_t_exact = gsw_alpha_wrt_pt_t_exact(SA,t,p)

    alpha_wrt_pt_t_exact =

    1.0e-003 *

       0.325621974596088
       0.323548679831175
       0.281641477318055
       0.173138875637364
       0.146227722831487
       0.129358812895628

## AUTHOR:

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

## VERSION NUMBER:

    3.01 (23rd July, 2010)

## 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. (2.18.2) of this TEOS-10 manual.

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