# gsw_rho_alpha_beta_CT_exact

    in-situ density, thermal expansion & saline
    contraction coefficients from CT

## Contents

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

## USAGE:

    [rho, alpha_CT, beta_CT] = gsw_rho_alpha_beta_CT_exact(SA,CT,p)

## DESCRIPTION:

    Calculates in-situ density, the appropiate thermal expansion coefficient
    and the appropriate saline contraction coefficient of seawater from
    Absolute Salinity and Conservative Temperature.

    Note that this function uses the full Gibbs function.  There is an
    alternative to calling this function, namely gsw_rho_alpha_beta(SA,CT,p),
    which uses the computationally-efficient 48-term expression for density
    in terms of SA, CT and p (McDougall et al., 2013).

    Click for a more detailed description of
    rho_alpha_beta_CT_exact.

## 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:

    rho       =  in-situ density                                  [ kg/m^3 ]
    alpha_CT  =  thermal expansion coefficient                       [ 1/K ]
                 with respect to Conservative Temperature
    beta_CT   =  saline contraction coefficient                     [ kg/g ]
                 at constant 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;]

    [rho, alpha_CT, beta_CT] = gsw_rho_alpha_beta_CT_exact(SA,CT,p)

    rho =

     1.0e+003 *

       1.021840179764021
       1.022262699103554
       1.024427709285783
       1.027790199901620
       1.029837716779620
       1.032002400877215

    alpha_CT =

     1.0e-003 *

       0.324707799687110
       0.322723974596565
       0.281179083137791
       0.173138326981408
       0.146269069937061
       0.129427106726016

    beta_CT =

     1.0e-003 *

       0.717486805409467
       0.717647610706394
       0.726219007035780
       0.750509225553259
       0.755062996958255
       0.757065832066916

## AUTHOR:

    Trevor McDougall and Paul Barker             [ 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 sections (2.8), (2.18) and (2.19) 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