# gsw_alpha_on_beta_CT_exact

```thermal expansion divided by the saline
contraction coefficient```

## USAGE:

`alpha_on_beta_CT_exact = gsw_alpha_on_beta_CT_exact(SA,CT,p)`

## DESCRIPTION:

```Calculates alpha divided by beta, where alpha is the thermal expansion
coefficient and beta is the 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_alpha_on_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).``` ```Click for a more detailed description of alpha on beta.```

## INPUT:

```SA  =  Absolute Salinity                                        [ g/kg ]
CT  =  Conservative Temperature                                [ 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_on_beta_CT_exact  =  thermal expansion coefficient with respect
to Conservative Temperature divided by the
saline contraction coefficient at constant
Conservative Temperature.    [ kg g^-1 K^-1 ]```

## 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;]```
`alpha_on_beta_CT_exact = gsw_alpha_on_beta_CT_exact(SA,CT,p)`
`alpha_on_beta_CT_exact =`
```   0.452562747132054
0.449696995826268
0.387182214199383
0.230694468617323
0.193717703723134
0.170958853568465```

## AUTHOR:

`Paul Barker and Trevor McDougall          [ 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.
```
```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`