# gsw_specvol_alpha_beta_CT_exact

```specific volume, thermal expansion & saline
contraction coefficients from CT```

## USAGE:

`[specvol, alpha_CT, beta_CT] = gsw_specvol_alpha_beta_CT_exact(SA,CT,p)`

## DESCRIPTION:

```Calculates specific volume, 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_specvol_alpha_beta(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:

```specvol   =  specific volume                                  [ m^3/kg ]
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;]```
`[specvol, alpha_CT, beta_CT] = gsw_specvol_alpha_beta_CT_exact(SA,CT,p)`
`specvol =`
` 1.0e-003 *`
```   0.978626618725186
0.978222134953103
0.976154774939840
0.972961213383549
0.971026778012244
0.968989993773259```
`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:

`3.05 (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 sections (2.8), (2.18) and (2.19) 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`