gsw_alpha_wrt_pt_t_exact

```thermal expansion coefficient with respect to
potential temperature```

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:

`3.05 (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 Eqn. (2.18.2) of this TEOS-10 manual.```
`The software is available from http://www.TEOS-10.org`