# gsw_alpha_CT_exact

```thermal expansion coefficient with respect to
Conservative Temperature```

## 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 75-term expression for specific
volume in terms of SA, CT and p (Roquet et al., 2015).``` ```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:

`3.04 (10th December, 2013)`

## 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.```
```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`